SEPT 2021- JUNE 2022 OLD POST ARCHIVE
SEMESTER 2:
SLOT 1A - MCI45SH - INTRODUCTION TO CALCULUS (Honours)
Thursday June 16: LAST POST OF THE YEAR:
Hello Everyone!
Well that's about it for the semester. It was a pleasure to be the teacher who introduced you to Calculus. I hope you all have great summers and go on to fun things next year, whatever they may be.
The mark on Edsby now represents your final grade, rounded to the nearest whole number.
A few of you never did come in to pick up your last unit D test. If you want to come in and get yours, you have until next Wednesday - after that they go to the shredder.
Fare thee Well!
Mr K
UNIT A (LIMITS) OPTIONAL RE-TEST: MONDAY JUNE 13
UNIT B (DERIVATIVES) OPTIONAL RE-TEST: TUESDAY JUNE 14
UNIT C (APPLICATIONS OF DERIVATIVES): WEDNESDAY JUNE 15
Students who have chosen NOT to re-write any of the three re-tests, I do not expect you to attend these classes and there will be no new material taught. Having said that, I DO still HAVE to take attendance and report you as absent if you chose to stay home.
If you have to be at school but are not re-testing, you can consider the class time as study time for your science exams, or use the time to finish assignments in other courses. The library will not be available for much of this week, so if you are coming to school in slot 1, you will have to stay in 203.
Students who ARE re-testing: I highly recommend going through your tests to make sure you won't repeat the same errors that you did the first time. After that, you can use this Textbook as your source for review material:
Unit 1: Limits Review: page 173 #1,5-19
Unit 2: Derivatives Review: Page 254 #1,2,4-9, 11-20
Unit 3: Chain Rule, Implicit Differentiation, and Applications of Derivatives: Page 257 #33-37, and Page 301 #1-19
Full solutions for all of the above problems can be found in this file.
Wednesday June 8 - Thursday June 9: work periods for the 5.5 Assignment in the Chapter D - Curve Sketching Workbook. Also, it's CUSR time again! If you missed today's class and want to change the CUSR letters from whatever you had on your last report, you can message me on Edsby with your new picks. If I don't hear from you, I'll just go with the Term 3 data. If you have forgotten what CUSR is all about, watch this video.
Tuesday June 7: we finished up the examples on the Putting it All Together handout, then we had time to start working on the 5.5 Assignment in the Chapter D - Curve Sketching Workbook.
Monday June 6: today's class looked at the last new idea of the unit, odd and even functions. Then I handed out a supplement booklet called Putting it All Together and we started working through its examples. The last page of the Unit D - Curve Sketching Notes Booklet has the same title. It will be given to you on Friday's test. You will get a copy of that page for Friday's test. Please note that this test will be a full Slot 1 test (70 minutes). The last assignment (which also acts as a review) is the 5.5 Assignment in the Chapter D - Curve Sketching Workbook. Here is the video of the Odd and Even Function lesson (up to about the 7:00 mark of the video). Today, I also handed out the sign up sheet for the Options Re-Test. You have to get it back to me by the end of the day on Thursday. If I don't get your selections by the end of the day on Thursday, I will assume that you do not wish to re-test any of Units 1,2, or 3.
Friday June 3: work period for the 5.1 and 5.2 assignments from Wednesday and Thursday.
Thursday June 2: today, we did the 8th lesson in the Unit D - Curve Sketching Notes Booklet, on Horizontal Asymptotes. Here is the video of the lesson. The assignment for this section is 5.2 #3,4 in the Chapter D - Curve Sketching Workbook. Tomorrow we will have some work time.
Wednesday June 1: lesson 7 in unit D is Vertical Asymptotes on pages 20-21 of the Unit D - Curve Sketching Notes Booklet, which shouldn't feel like a brand new idea since you explored the concept in grade 11 - all we do it tie those grade 11 ideas to our Limits work that we did this semester. Here is the video of the lesson. The assignment for this section is 5.1 #1-3 in the Chapter D - Curve Sketching Workbook.
Tuesday May 31: today's lesson (number 6 in unit D, if you are keeping score) is the Second Derivative Test on pages 18-19 in the Unit D - Curve Sketching Notes Booklet . This is a quicker way to find local max and min than the interval analysis that we learned earlier in this unit, but be warned, it does fail sometimes. Here is the video of the lesson. The assignment for this section is 5.4 #1-3 in the Chapter D - Curve Sketching Workbook.
Monday May 30: My guest teacher, Mr Favreau will go over yet another example of Concavity and POI to help you get through the 5.3 assignment. Just one example today exploring the weird curve you get from y=x/(x^2+1) on pages 16-17 of the Unit D - Curve Sketching Notes Booklet. Here is the video of today's lesson, in case you need it. Again, I'm not assigning anything new. Use today to finish 5.3 #1-3 in the Chapter D - Curve Sketching Workbook.
Friday May 27: My guest teacher, Mr Favreau, will go over more examples for Lesson 4 - Concavity and POI. Today we go backward to pages 10-11 in the Unit D - Curve Sketching Notes Booklet and cover the examples on the page with the title, "Concavity: More Examples", which we skipped over on Tuesday. Today's examples are cool - they all have a neat twist to them. Here is the video of the lesson in case you missed any of it. No new assignment - keep working on the assignment from Thursday: 5.3 (page 10) of the Chapter D - Curve Sketching Workbook #1-3.
Thursday May 26: look out! The Unit D - Curve Sketching Notes Booklet is in the wrong order here. Skip past the page with the title, "Concavity: More Examples" to the page that says, "Concavity and Points of Inflection." (it's page 12, if you count the cover as page 1) Oops! That's today's lesson where we'll see how to find the difference between concave up and concave down as well as how to find points of inflection on a curve. Here is the video of the lesson in case you miss any part of the class. The assignment for this section is 5.3 (page 10) of the Chapter D - Curve Sketching Workbook #1-3. Yes, we're skipping over 5.1 and 5.2 until next week. I'll give you tomorrow as a work period.
WEDNESDAY MAY 25: 4.1-4.3 QUIZ
Tuesday May 24: we went through the second example on this handout. If you missed the class or want to see it again, it's on the 2nd half of this video. After that we had time to ask any homework questions from the 4.1-4.3 assignments before we quiz them tomorrow.
Friday May 20: work period for the 4.1-4.3 assignments. Have a great long weekend!
Thursday May 19: we went through the rest of the lesson 3: the First Derivative Test examples, covering page 9 of the Unit D - Curve Sketching Notes Booklet and the first example on this handout that we used in class. You can try the second example yourself - we'll go over it on Tuesday. The video for Example 2 on page 9 starts at the 12:30 mark, and here is the video of the handout examples. The assignment for this section is 4.3 #1-4 of the Chapter D - Curve Sketching Workbook. This is a pretty big assignment - you are asked to sketch a lot of functions - so we'll give you until after the long weekend to get it done, and have a work period tomorrow. We'll do more examples of these kinds of questions Tuesday. We'll quiz 4.1-4.3 on Wednesday
Wednesday May 18: we did example 3 on pages 7 of the Unit D - Curve Sketching Notes Booklet. Here is a video of the lesson (today's examples start at the 1:50 mark). Then I went through an example (4.1 #4 g) where you have to use a common denominator to get the expression you are working with to a 'factored' form before doing your interval check. Then we the notes for lesson 3: First Derivative Test on page 8 and did example 1 on page 9. The video for this part of the class is in this video up to the 12:30 mark. The homework is still 4.1 #1-5 and 4.2 #1-7 in the Chapter D - Curve Sketching Workbook. If you are ready to move on, the next assignment is 4.3 #1-4.
Tuesday May 17: Unit D lesson 2 today: Maximum and Minimum Values, Fermat's Theorem, and Critical Values, which is pages 4-6 in the Unit D - Curve Sketching Notes Booklet. We'll need tomorrow's class to finish this lesson's last example, but if you are ready to move on, you can start work on 4.2 #1-7 in the Chapter D - Curve Sketching Workbook. The video for today's lesson is all of this video and the first 1:50 of this video.
Monday May 16: we started Unit D today. Lesson 1 is Increasing and Decreasing Functions, pages 2-3 in the Unit D - Curve Sketching Notes Booklet. Here is the video of the lesson. Your assignment for this lesson is 4.1 #1-5 in the Unit D - Curve Sketching Workbook.
RELATED RATES AND ANTIDERIVATIVES QUIZ FRIDAY MAY 13
Thursday May 12: review/ask questions class for related rates and antiderivatives. Quiz tomorrow. Ms Bednarski found this cool Related Rates Problem from an old AP Calculus exam, if you are looking for a challenge. Here is the solution.
Wednesday May 11: work time for #2-8 on the Antiderivates Handout page. I'll also help you go through any of the Related Rates problems from the related rates worksheet that you might be having trouble with. Now that you've had a couple of days to ponder it, we'll solve the Lifeguard Problem. If you want more practice for Friday's related rates test, I handed out a booklet with 3 more examples (the file here has a key). We can go over them tomorrow.
Tuesday May 10: we introduced the concept of the Antiderivative today, with the lesson on pages 29-32 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is a video of the lesson. If you want to play with the Desmos file I used in this lesson, you can download it here. The assignment for this lesson is #2-8 on the Antiderivates Handout page. We'll give you tomorrow's class as a work period for this assignment.
Monday May 9: work/ask questions period for the the related rates worksheet. The file link has full solutions at the end. If you finish those and want a few more to try, there are some on pages 12-13 of the Unit C Assignment Book. Specifically, you can try #5,6,8,9,10. If you want to try a challenging, next level related rate problem, try the Lifeguard Problem (I handed out a hard copy to the class).
Friday May 6: we went over a couple more examples of related rate problems (Examples 4 and 5 in the notes). If you missed the class Example 4 (1st strategy) is in this video of the class (start at the 20:44 mark) and this video covers the 2nd strategy for Example 4 as well as Example 5. You can now try all of the related rates worksheet (recall that Wednesday's examples allow you to try #1,8,11,15,20).
Thursday May 5: we lose this class to the Wellness Day activities.
Wednesday May 4: we started the lesson on Related Rates today, going through Examples 0,1,2, and 3 on pages 22-24 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is a video of the lesson that goes up to Example 2. Example 3 starts at the 11:20 mark of this video. We will continue from there tomorrow. If you are done working on the Implicit Differentiation assignments and want to get started on the related rates worksheet, you can try #1,8,11,15,20. The solutions for the Related Rates worksheet is at the end of the file. If you want to play with the animations and graphs that I used in today's lesson, here is the pond ripple, here is the expanding rectangle, and here is the falling ladder.
IMPLICIT DIFFERENTIATION TEST TUESDAY MAY 3
Monday May 2: Review class and chance to ask questions before tomorrow's Implicit Differentiation Test. I'll go over #6 for the class.
Friday April 29: work time to finish 2.7 #1-7 in the Unit C Assignment Book and get started on the Implicit Differentiation Worksheet. Have a great weekend!
Thursday April 28: more implicit differentiation examples today from pages 19-21 of the Unit C: Chain Rule and Implicit Differentiation Notebook. This lesson looked at some fun curves with weird equations and weirder graphs. Here is a video of the lesson. You can have another night to work on 2.7 #1-7 in the Unit C Assignment Book (you'll get some work time in class tomorrow, too). I also handed out an Implicit Differentiation Worksheet for more practice if you are ready to move on. I'll give you class time tomorrow to work on that. Here is the Desmos file of the graphs if you want to play with them for yourself.
Wednesday April 27: today we finished up the page 18 example of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is the video of the lesson. Here is the Desmos file I used in class, if you want to explore it for yourself. You can now do all of the assignment 2.7 #1-7 in the Unit C Assignment Book. The remainder of the class is work time.
Tuesday April 26: today was the 2nd part of the Implicit Differentiation lesson, where we use chain rule and Leibniz logic to find the derivative of a curve where we don't (or can't) isolate the y variable. This covers pages 15-17 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is the video of today's lesson (you might need to look at tomorrow's video for the page 18 example). We'll finish off the last example from the lesson tomorrow (here is a Desmos file of it to check to see if you got the correct domain), but if you can get started on the next assignment: 2.7 #1-7of the Unit C Assignment Book.
Monday April 25: today we did a lesson on pages 13-14 of the Unit C: Chain Rule and Implicit Differentiation Notebook. This lesson focuses on equations where the variable we're trying to find the rate of change of, isn't explicitly defined (it isn't isolated). Not a lot of new homework for this concept yet, but you can do #1a part i on page 14 of the Unit C Assignment Book. Here is the video of the lesson and here is the Desmos file I was using in the lesson.
CHAIN RULE TEST (Ch 2.6) THURSDAY APRIL 21
Wednesday April 20: one more review/work/ask questions day before we test Chain Rule tomorrow. We can go over the dreaded 2.6 #4 and #6e if people would like. If we don't get to them, I have a few full solutions to those here.
Tuesday April 19: today is a work/ask questions period for question #6 in the 2.6 section in the Unit C Assignment Book. If you are ready for more practice, I handed out a Chain Rule Worksheet for more practice.
Monday April 18: Welcome back! today's lesson covers pages 9- 12 of the Unit C: Chain Rule and Implicit Differentiation Notebook. This extends the Chain Rule to include the Product and Quotient Rules. After today's examples, you can now do 2.6 #6 of the Unit C Assignment Book. Here is the video of the lesson if you missed any part of it or want to see these examples again.
Thursday April 14: All Winnipeg schools are officially going to be closed Wednesday and Thursday. We will be doing classes remotely through Teams. Check your Teams Calendar or follow this link to the meeting.
For today's class, we did an example that isn't in the booklet that is just like questions #3-5 in the 2.6 assignment from the Unit C Assignment Book. You should be able to do all of #1-5,7-12 in that assignment. The rest of the class was work time. Have a great long weekend!
Wednesday April 13: Today we looked at chain rule again today, but this time we used the Leibniz Notation to go through the examples on pages 6-8 of the Unit C: Chain Rule and Implicit Differentiation Notebook. If you missed the class here is a video of the lesson (watch out for the error on example 3). You can now add the following 2.6 questions in the Unit C Assignment Book to yesterday's assignment: #2-5,12. I'll let you have tomorrow as a work catch up/ask questions day, then we'll get into more complicated chain rule questions on Monday.
Tuesday April 12: we went through lesson 2, Chain Rule in the Unit C: Chain Rule and Implicit Differentiation Notebook today. Here is the video in case you missed it, or if you just want to see the examples again. Your new assignment from the Unit C Assignment Book is 2.6 page 1 #1,7-10.
Monday April 11: we started our next unit by handing out the Unit C: Chain Rule and Implicit Differentiation Notebook. We started Unit C, with a lesson on Composite Functions. Here is the video of the lesson if you missed it. Your assignment is #1-7 on page 9 of the Unit C Assignment Book.
LAST UNIT B TEST FRIDAY APRIL 8 (covers 2.5,2.8, 3.1, 3.2 in the workbooklet)
Thursday April 7: today was the last day for Unit B. We used the class to work and answer questions on anything from: 2.4, 2.5, 2.8, 3.1, and 3.2.
Wednesday April 6: We spent this class going over some homework questions from the 2.5and 2.8 sections of the Chapter 2 Derivatives workbooklet.
Tuesday April 5: no new lesson today (likely several students will be out writing the Euclid contest), but I went through 3.1 #7 with the class. If you missed it, here is the video. Then it was work and ask questions time. I'll give you another class tomorrow to work on homework or do some review, then we test Quotient rule, Higher Order Derivatives, Velocity and Acceleration (sections 2.5, 2.8, 3.1, and 3.2) on Friday. If you are looking for more review to practice tonight and tomorrow, you can do some questions from page 29 #1,2 ,page 31 #1-4, page 33 #1,2, page 35 #9,12,17
Monday April 4: welcome back! I hope everyone had a great break. This class we did our last new lesson of the Derivatives unit, Velocity and Acceleration. This covers pages 27-31 in the Unit B: Derivatives Notes Book. Here is the video of the lesson if you missed it or wanted to see it again. The assignment for this section is 3.1 #1-9 and 3.2 #1,3(omit d),4,7,8 in the Chapter 2 Derivatives workbooklet. You will get time in class tomorrow to work or ask questions. The answer key in the booklet for 3.1 and 3.2 is incomplete, so here is a better scan.
Friday March 25: work time for the assignments from Tuesday and Thursday: Chapter 2 Derivatives workbooklet 2.5 #1-3,5-7, 2.8 #1 (a,b,c,d,f,h), 2(a,b), 3,6,8 and page 33 #1-3. Have a great break, everyone!
Thursday March 24: Today's lesson is on higher order derivatives, covering pages 24-26 in the Unit B: Derivatives Notes Book.. Here is the video if you missed the lesson or want to go through it again. Here is the DESMOS file I was using in class. The assignment for today's lesson is 2.8 #1 (a,b,c,d,f,h), 2(a,b), 3,6,8 and page 33 #1-3
Wednesday March 23: Unit B Test 2 (covers 2.2-2.4: Basic Derivatives and Product Rule). If you finish with time to spare, you can work on 2.5 #1-3,5-7 in the Chapter 2 Derivatives workbooklet.
Tuesday March 22: First, it was CUSR day! Then we went through the last three Quotient rule examples on pages 22-23 in the Unit B: Derivatives Notes Book. If you missed the class here is the video. The assignment for this section is 2.5 #1-3,5-7 in the Chapter 2 Derivatives workbooklet. If you are done all of the assigned questions from 2.2-2.4 in the Chapter 2 Derivatives workbooklet and you are looking for more practice for tomorrow's quiz, you can jump to page 26 and do anything from 1-11 to practice the basic derivative questions and for extra product rule practice, page 29 #16,9,10 are all good questions. If that isn't enough for you, Ms Bednarski put together this extra practice sheet.
Monday March 21: we did the first three examples for Lesson 6: Quotient Law, covering pages 20-22 in the Unit B: Derivatives Notes Book. Here is the video of the lesson if you missed any of it and here is the Desmos file that I was using for the examples. If you are ready for Wednesday's 2.2-2.3 Test, then you can get started on 2.5 #1-3,5-7 in the Chapter 2 Derivatives workbooklet.
Thursday March 17: we went back to the product law examples on pages 17-18 of the Unit B: Derivatives Notes Book . We looked at the graphs of the examples on Desmos. The graphs are in this file, if you want to explore them for yourself. Then we had some time to work in the Chapter 2 Derivatives workbooklet. Over the weekend, finish 2.3 #1-3,6-10,12,13 and starting the product rule practice on 2.4 #1-6.
Wednesday March 16: 2.1 Test
Tuesday March 15: we started the lesson on the Product Rule for derivatives, starting on page 17 of the Unit B: Derivatives Notes Book . We got through the examples and we'll wrap up the discussion of what they mean on Thursday. If you missed the class or want to see the examples again, here is the video. Your next assignment is from the Chapter 2 Derivatives workbooklet: a little more basic derivative practice 2.3 #1-3,6-10,12,13. If you are ready to move on to try practicing today's material, the product rule questions are 2.4 #1-6. Reminder that tomorrow we test 2.1 and the Graphs of Derivatives Worksheets (here is the answer key).
Monday March 14: today's lesson on Basic Derivative Rules covers pages 12-14 in the Unit B: Derivatives Notes Book, This is a key class, so if you missed any of it (or want to watch it again) here is the video (today's lesson starts at the 4:30 mark). The homework for this lesson is 2.2 #1-4,7-10,12 in Chapter 2 Derivatives Workbook. You should also make sure you understand the differentiability of piecewise functions lesson from last week by doing page 28 #29 for practice.
Friday March 11: we went over pages 9-11 of the Unit B: Derivatives Notes Book, covering the lesson, Derivatives-Other Notations. The video for today's lesson is the first 4:30 of this video. For homework, keep working on 2.1 #2-6,8-13,16 in the Chapter 2 Derivatives Workbook and the Graphs of Derivatives Worksheets (here is the answer key). If you are interested learning more of the history of the development of calculus and the feud between Lebniz and Sir Isaac Newton, check out this video.
Thursday March 10: just a quick little lesson on Differentiability on pages 15-16 of the Unit B: Derivatives Notes Book. Then we had either time to work or ask me questions. You should now be doing all of 2.1 #2-6,8-13,16 in the Chapter 2 Derivatives Workbook and the Graphs of Derivatives Worksheets (here is the answer key). Here is the video of the first part of today's lesson. Note that this video was made before I had the notes on pages 15-16 to refer to. Here is the video where I do work through those pages.
Wednesday March 9: today's lesson is a continuation of yesterday's look at derivatives. Today we explore the relationship between the graph of a function and the graph of its derivative function, covering pages 5-8 of the Unit B: Derivatives Notes Book. Here is my key for the last page of examples in today's lesson (I already don't like my estimate for the first one - I made it too steep). Here is the Desmos file of the examples on pages 5-8, if you want to play with them for yourself. You can now add 2.1 #2 and 13 in the Chapter 2 Derivatives Workbook to the assignment from yesterday. If you missed the lesson or want to see it again, here is the video.
Tuesday March 8: we started Unit B: Derivatives today, with the first lesson in the Unit B: Derivatives Notes Book, the definition of a derivative (first principles of the derivative). The first assignment is in the 2.1 section, page 2 #4-6,8,10,11 of the Chapter 2 Derivatives Workbook. Here is the video of today's lesson.
1.4-1.6 TEST MONDAY MARCH 7
Friday March 4: today is a work/review/ask questions period for Assignment 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet and the Limits to Infinity worksheet. If you are looking for more practice on 1.4 for this weekend and you already worked through the page 24 problems, Ms Bednarski put together this worksheet. Here is its answer key.
Thursday March 3: we finished off the Limits to infinity lesson from yesterday (see yesterday's post for the video). Here's the Desmos file of the graphs we looked at in class today. You should now be ready to work on Assignment 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet and the Limits to Infinity worksheet. Tomorrow will be a work/ask questions class and we will test 1.4 and 1.6 on Friday.
Wednesday March 2: today's lesson is for Limits as x approaches infinity. This covers pages 37-40 of the Unit A: Limits Notes Package. We started with a little refresher on infinite geometric series and Zeno's paradox, then went into some examples. We'll finish them tomorrow. If you are done the 1.4 and page 24 stuff and feel ready to start the next assignment, it is 1.6 #1-5,8 and the Limits to Infinity worksheet that I handed out today. Don't panic if you get stuck, the examples we'll do tomorrow will probably clear up your confusion. Here is the video of today's lesson (it has tomorrow's examples, too if you want to see ahead).
Tuesday March 1: we did a small lesson on pages 33-36 of the Unit A: Limits Notes Package, where we go from Formula 2 to a general equation for the slope of a tangent for any specific curve. We also looked back at continuity a bit and worked through an example of a piecewise function without having a graph to look at. Here is the video for today's class (it starts with example 3). There is no new assignment for this lesson, so you have another night to work at the 1.4 assignment (in the pink Chapter 1: Limits and Rates of Changes booklet) #1,2,6-11 and, if you are looking for more practice, page 24 #3-6.
Monday February 28: today is work/ask questions time for the 1.4 assignment (in the Chapter 1: Limits and Rates of Changes booklet) where you can now do all of #1,2,6-11. If you are looking for more practice, you can do pink booklet page 24 #3-6.
Friday February 25: today is part 2 of the Chapter 1.4 lesson, where we introduce "Formula 2" for finding the slope of a tangent line using limits. This covers pages 29-32 in the Unit A: Limits Notes Package. Here is the video of the lesson. Your homework for this part of the lesson is Exercise 1.4 #1a(ii), #2a(ii), #8-11 (use Formula 2 for all of these). Monday will be a work/help period for this assignment and the one from Tuesday.
Thursday February 24: 1.3 Quiz today. Tonight you could keep working on Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7 from the pink Chapter 1: Limits and Rates of Changes booklet. Or you could take the night off from Calculus homework. You'll get a work period with no new lesson on Friday. Your call.
Wednesday February 23: some students are away writing the Fermat contest, so we'll have a work/study period for those who aren't. Work on 1.3 questions for the quiz tomorrow, or if you feel ready for Thursday's 1.3 Quiz and you want to get started on the new homework early, you can do Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7.
Tuesday February 22: we started our two part lesson on the Equation of tangent lines with the lesson that derives and gives us examples of "Formula 1". This took us through pages 25-28 of the Unit A: Limits Notes Package. You'll be able to tackle all of the Exercise 1.4 assignment in the Chapter 1: Limits and Rates of Changes booklet after tomorrow's part 2 of the lesson. But if you feel ready for Thursday's 1.3 Quiz and you want to get started on the new homework early, you can do Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7. Here is a link to the video of today's lesson.
Friday February 18: work period for Exercise 1.3 #1-7,9 in the Chapter 1: Limits and Rates of Changes booklet. We will do a quiz on this section on Wednesday. If you are looking for extra practice, skip to page 27 and try #1-8. Have a great long weekend!
Thursday February 17: 1.1-1.2 Quiz
Wednesday February 16: Today's lesson is Continuity. We're still, technically in Lesson 1.3 of your workbook, covering pages 21-24 of the Unit A: Limits Notes Package. Here is the video of the lesson. Now you should be able to finish all of Exercise 1.3 #1-7,9 in the Chapter 1: Limits and Rates of Changes booklet. We'll give you a work class for this on Friday and you can spend time tonight getting ready for tomorrow's 1.1-1.2 Quiz. If you are looking for more 1.1/1.2 practice, the Chapter 1: Limits and Rates of Changes booklet has some extra practice starting on page 21. Page 21 #1-2 are good, and page 24 #5 and 6 are good. We'll quiz 1.3 on Wednesday of next week.
Tuesday February 15: Today we started by going over the "you try" questions on page 17 of the Unit A: Limits Notes Package (if you were late or missed the class here is the key we went over). Then we did a lesson on one sided limits, coving pages 18-20. Your homework for this lesson is Exercise 1.3 #1-7,9 in the Chapter 1: Limits and Rates of Changes booklet, but you don't have to start it today if you are still working on 1.2 and the Limit Practice handout (here is the answer key) assignments from yesterday. The 1.3 assignment is also for tomorrow's lesson. Here is the video of today's lesson.
Monday February 14: Today we go through more examples of using algebra methods to calculate limits, on page 16 of the Unit A: Limits Notes Package. Here is the video of today's class. Your homework for this lesson is to do the "you try" examples on page 17 (we'll go over them tomorrow), then continue to work on Exercise 1.2 #1-9,12 in the Chapter 1: Limits and Rates of Changes booklet as well as the Limit Practice handout that I handed out today (here is the answer key). Take a minute to celebrate Valentine's Day by checking out these awesome Desmos Graphs!
Friday Feb 11: we moved on to pages 11-15 of the Unit A: Limits Notes Package and examples of "Limit Laws" as we moved on to more algebraic ways to calculate limits. The next assignment will be Exercise 1.2 #1-9,12 in the Chapter 1: Limits and Rates of Change Workbook. . You might not be ready for all of these problems until after Monday's examples, but see how many you can do over the weekend. Here is the video of today's lesson , in case you missed the class or want to review the examples. Here is the answer key for the "Secant Example for You to Try " on page 15
Thursday Feb 10: work period to finish up and ask questions about Exercise 1.1 #1-6 in the Chapter 1: Limits and Rates of Change Workbook. The answer key starts on page 16. If you are ready to move on, you can do the "Secant Example for you to try" on page 10 of the Unit A: LIMITS Notes Package. Treat it like a practice quiz to see if you understand and can do lesson 1. Here is its answer key.
Wednesday Feb 9: We went through examples 2 and 3 of the Unit A: LIMITS Notes Package. If you missed the class or want to see the lesson again, start at around the 16 minute mark of this video. Here is the Desmos file for Example 2. You can work on the first assignment, which is Exercise 1.1 #1-6 in the Chapter 1: Limits and Rates of Change Workbook. The answer key starts on page 16. Here is a video I made last year on how to make these graphs on Desmos for yourself. I also made this video of how to use Excel to to do the same calculations repeatedly, as an alternative to Desmos.
Tuesday February 8: we went through the second example "dissecting a circle" on pages 3-4 of the Unit A: LIMITS Notes Package. If you missed the classes for today and yesterday, here is a video of the lesson. Then we started into the lesson on page 5 of the Unit A: Limits Notes Package. If you missed the class, here is the video of the 2nd part of today's lesson (we made it up to the 15 minute mark or so). Here is the Desmos file of the graph of Example 1.
Monday February 7: Welcome to Semester 2: Introduction to Calculus. Today we went over the course outline, but didn't get very far into anything mathematical just yet. We looked at the very first example on pages 1-2 in our Unit A: LIMITS Notes Package. I also handed out the Chapter 1: Limits and Rates of Change Workbook. Then we watched this Professor Dave video introducing calculus. No homework yet.
SLOTS 2 and 6 - MPC40S - GR 12 Pre-CALCULUS MATH
Link to VIDEO LESSONS PAGE
MPC40S formula sheet
FRC EXAM REVIEW PACKAGE HERE (we found a mistake on the answer key for page 26 #1 it should be 0.45%)
Friday June 17:
One more message!
THREE PEOPLE HANDED IN THEIR OPTIONS RE-TEST ON WEDNESDAY WITHOUT PUTTING THEIR NAMES ON IT!
I'm not even sure which class they are from, since I put them into one big pile before I started marking them!
SO, if you wrote the re-test on Wednesday and you HAVE NOT received a message on Edsby telling you how you did, then you must be one of my nameless papers.
Please message me immediately so we can figure this out! Alternately, if you are coming in for a science exam on Monday or Tuesday, stop by 203 and you can point out which one is yours.
And don't forget to bring back your textbooks!
Mr K
Thursday June 16: LAST POST OF THE YEAR:
Hello Everyone!
Well that's about it for the semester. It was a pleasure to be your MPC40S teacher. I hope you all have great summers and go on to fun things next year, whatever they may be.
Keep your eyes on Edsby and you'll see your final grade. Over the weekend, those of you who did re-testing yesterday will notice if the re-tests had any effect on your average. I'll also message you. I'll also message you if I don't have your TEXTBOOKS returned by the end of the day on Monday - PLEASE BRING THEM IN AND DON'T MAKE ME CHASE YOU FOR THEM!
A few of you never did come in to pick up your last unit test. If you want to come in and get yours, you have until next Wednesday - after that they go to the shredder.
Fare thee Well!
Mr K
OPTIONAL RE-ASSESSMENT WEDNESDAY JUNE 15
Monday and Tuesday, June 13th - 14th are days for students who are going to try to retest any old outcomes to do some review.
Students who have chosen NOT to re-write any of the course's outcomes, I do not expect you to attend these classes and there will be no new material taught. Having said that, I DO still HAVE to take attendance and report you as absent if you chose to stay home.
If you have to be at school but are not re-testing, you can consider the class time as study time for your science exams, or use the time to finish assignments in other courses. The library will not be available for much of this week, so if you are coming to school in slots 2 or 6, you will have to stay in 203.
Also, please come by sometime before the end of the day on Wednesday and drop off your textbook and pick up your last test.
Students who ARE re-testing on Wednesday: I highly recommend going through your tests to make sure you won't repeat the same errors that you did the first time. After that, use your TEXTBOOK as your source for review material.
Reminder that the handout:Course Outcome List (with Chapters and Weightings) has a list of which outcome corresponds to which chapter in the textbook, along with a list of the weightings for each outcome to better help you decide what to re-test on Wednesday.
The re-test is your regular, 70 minute class period on Wednesday. There will be no alternate date or time for writing the re-test. In the period, you can try to finish as many outcomes as you like, but don't expect to complete more than 3 or 4 at most. If your new score is higher than your previous score, it will replace your old score. If, on the other hand, you hand it in to be marked and you score lower than your original mark, we average the two scores together. Please bring your textbook with you on Wednesday to turn in.
Chapter 9/10 Booklet Answer Key errors:
9.1 #5c: the asymptotes should be x=-4 and y=-1 not -2 and 4 (the graph is right)
9.2 #1: the point of discontinuity is x=-2
9.2 #4b: the POD should be (3,-1/6)
9.2 #5 the answers for c and d are switched
10.3: ##4f should be 0
Thursday June 9:
AM CLASS: we started with a 10.3 ACC, then it was work time for the Chapter 9 Review at the end of the booklet.
PM CLASS: we started with a 10.3 ACC, then we took a quick look at the 2nd Oblique Asymptote example on page 31 of the booklet. Again, this won't be on tomorrow's test.
BOTH CLASSES: It's CUSR time again! If you missed today's class and want to change the CUSR letters from whatever you had on your last report, you can message me on Edsby with your new picks. If I don't hear from you, I'll just go with the Term 3 data. If you have forgotten what CUSR is all about, watch this video.
Wednesday June 8:
AM CLASS: we took a quick look at the 2nd Oblique Asymptote example on page 31 of the booklet. Again, this won't be on Friday's test. Then we had some work time for the 10.3 page on pages 36-38 of the booklet
PM CLASS: work time for the 10.3 page on pages 36-38 of the booklet and the Chapter 9 Review at the end of the booklet.
Tuesday June 7:
we did the lesson for section 10.3: Composite Functions on pages 34-37 of the Chapter 9/10 Booklet. Here is the video of the lesson. The assignment for this section is the 10.3 page on pages 36-38 of the booklet. The spacing got all messed up when this booklet got scanned, so a couple of the questions overlap each other on your copy. If you look at the online version, the problem has been fixed. If you are looking for more practice on this outcome for Friday's test, go to the page 507 textbook questions listed at the end of the lesson. Again, you could be working on the Chapter 9 review at the end of the booklet.
we did the lesson for section 10.3: Composite Functions on pages 34-37 of the Chapter 9/10 Booklet. Here is the video of the lesson. The assignment for this section is the 10.3 page on pages 36-38 of the booklet. The spacing got all messed up when this booklet got scanned, so a couple of the questions overlap each other on your copy. If you look at the online version, the problem has been fixed. If you are looking for more practice on this outcome for Friday's test, go to the page 507 textbook questions listed at the end of the lesson. Again, you could be working on the Chapter 9 review at the end of the booklet.
Monday June 6:
we started class by going over a few questions from the 9.1 and 9.2 homework pages in the Chapter 9/10 Booklet. Then we did the 9.1 ACC and the 9.2 ACC (keys are in the files). Then we took a quick look at Oblique Asymptotes on page 30 of the booklet. This won't be on Friday's test, but those of you thinking of taking the Calculus courses for engineers or architects next year - they'll pop up. If you are caught up on the 9.1 and 9.2 homework, you could get started on the Chapter 9 review at the end of the booklet.
Friday June 3: work period for pages 24-26 in the Chapter 9/10 Booklet and this worksheet with Extra Practice for 9.2 (here is the answer key).
Thursday June 2: today we started with a quick summary of the two 9.1 lessons on pages 16 and then we went through Lesson 9.2, covering pages 20-23 in the Chapter 9/10 Booklet. I'll have to record this lesson as I go through it, so check back here Thursday afternoon for a link to the video. You can now do the assignment on pages 24-26 and this worksheet with Extra Practice for 9.2 (here is the answer key). The AM group loses tomorrow's class to the awards day presentation, so the PM class will have a work period.
Wednesday June 1: we went through pages 8 and 9 to recap part 1, then we did Lesson 9.1 Part 2 today, covering pages 11-15 in the Chapter 9/10 Booklet. Here are the videos, you can watch if you missed the lesson: 9.1 Part 2 A, and 9.1 Part 2 B . The assignments for this lesson (and the previous lesson, from last week, Thursday) are on pages 8-10 and 17-19.
Thursday May 26: we started the last unit today, going through section 9.1 Part 1 in the Chapter 9/10 Booklet (pages 1-7). The videos of the lesson are in these posts: part 1, part 2, part 3. No new assignment for this section yet, so keep working on the Chapter 11 worksheets. As usual, if you finish the worksheet and want more practice, go to the textbook problems listed at the end of the notes examples. We'll do some more chapter 11 ACCs tomorrow, then we will have some Q&A time for the Chapter 11 assignments. If anyone is really working fast and wants to start the Chapter 11 review/practice test (here is a key) tonight, go for it. I also have this Extra Practice Page that you can download if you'd rather not open your textbook and you want even more practice. Friday and Monday's classes will also be Q&A/work periods. If you get tired of Chapter 11 and want to move on to Chapter 9, you can do the assignment on pages 8-10.
CHAPTER 11 TEST TUESDAY MAY 31
Monday May 30: My guest teacher, Mr Favreau started the class by handing out these Chapter 11 Mental Math worksheets (the file here has answer keys at the end). After going over those, it was, once again, time to ask questions or work on the Chapter 11 review/practice test (here is a key). If you are looking for extra review, you can download this Extra Practice Page or try the Reviews and Practice Test at the end of Chapter 11 in your textbook.
Friday May 27: We started with next three ACCs in the Chapter 11 ACC Booklet - if you missed class and want to try them, the file link has the answer keys at the back. Then we had the rest of the period to work on finishing the Chapter 11 Exercise booklet and the Chapter 11 review/practice test (here is a key). My guest teacher, Mr Favreau taught this course for a lot of years before he hung up the skates, so please make sure to ask him ANY questions that you may be stuck on. It will make him feel better about the fact that I didn't leave him a lesson to do.
Wednesday May 25: we went through the second part of lesson 11.3 in the You can now do the 11.3: Binomial Theorem Part 2 worksheet in the . The video for today's lesson starts at the 22:45 mark of this post. We'll let you have Friday as a work period.
Tuesday May 24: we started class by seeing if anyone needed some help with the 11.1 and 11.2 worksheets in the Chapter 11 Exercise booklet. Then I handed out a Chapter 11 ACC Booklet and we did the frist two pages - if you missed class and want to try them, the file link has the answer keys at the back. Then we went through part 1 of lesson 11.3: Binomial Theorem in the Chapter 11: Permutations, Combinations and the Binomial Theorem booklet.. Here is the video for the lesson - today's class gets us to the 22:45 mark. You can now do the 11.3: Binomial Theorem Part 1 worksheet in the Chapter 11 Exercise booklet.
Friday May 20: Work period to finish up the 11.1 and 11.2 worksheets in the Chapter 11 Exercise booklet. If you finish with time to spare, you can try some extra practice work on textbook Page 524 #5,8-11, 18, C2 and page 534 #1-8,11,13,14,17,C1,C3. Have a great long weekend.
Thursday May 19: we started by going over the two examples introducing Combinations on page 10 of the Chapter 11: Permutations, Combinations and the Binomial Theorem booklet. Then we covered pages 11-12, which brings us to the end of Lesson 11.2. You can now do the 11.2: Combinations worksheet in the Chapter 11 Exercise booklet. The video for Combination Arithmetic is here. The video for Combinations with Cases is here. Tomorrow will be a work period for the 11.1 and 11.2 worksheets.
Wednesday May 18: we continued through lesson 11.1 (Permutations) in the Chapter 11: Permutations, Combinations and the Binomial Theorem booklet. Then we started on the 11.2 lesson (Combinations), getting up to the end of the notes on page 10. Try the two examples at the bottom of page 10 tonight, we'll go over them tomorrow. Also, you can now do all of the 11.1 worksheet in the Chapter 11 Exercise booklet. The videos for today's lessons on Permutations are: Permutations with Constraints, Permutations with Cases part 1, and Permutations with Cases part 2. The video for today's lesson on Combinations is here.
Tuesday May 17: After all the algebra, graphing, and trigonometry, it's nice to do some good, old-fashioned counting (well, ok, there is a little algebra). We started Lesson 1.1 in the Chapter 11: Permutations, Combinations and the Binomial Theorem today. We did the lessons and examples up to page 6. I handed out the Chapter 11 Exercise booklet today, but we haven't quite made it to the point where we can do the first worksheet. Until then, you can do textbook page 524 #1-4,6,7,22,24,C3. The videos for lesson 1.1 are broken into smaller parts: Counting Principle, Factorials, Permutations, Permutations with Repeats. I mentioned in class that there are online videos that explain why 0!=1. Here is a good one. And here are a couple of videos to help you grasp the maginitude of 52!: this one and this one.
ANSWER KEY ERRORS:
CH 7: Page 8 #1b should be 1/2 not 3/2
CHAPTER 8:8.4 Log and Exponential Equations sheet: #3d should be x=3.6337
8.4 Applications of Exponential Funcitons Page #5b should be 6.98 years not 9.19
OMIT #10 - THE FORMULA DOESN'T WORK.
8.4 Applications of Logarithmic Functions:
#2b: change this to read "how many times more acidic is rain with a pH of 4.5 than the normal rain with a pH of 5.6"
#2d: CAN'T be the correct answer - it asks for the pH of a solution 4 times more BASIC than water, but it gives an answer (6.4) that is lower than 7? I think the answer should be 7.6
MONDAY MAY 16th: CHAPTER 7/8 TEST
Friday May 13: we started with the 8.4 (Part 2) ACC, then we had work/ask questions time for the word problems on page 26 of the notes booklet or the 2nd 8.4 worksheet in the Chapter 8 Assignment Booklet (Omit #10 and change #2b to read "how many times more acidic is rain with a pH of 4.5 than the normal rain with a pH of 5.6"). Reminder that I handed out a review page yesterday for the algebra and graphing stuff that you can work on over the weekend. Test is Monday.
Thursday May 12: We started with an 8.4 (Part 1) ACC, then we went through the last part of the 8.4 lesson on pages 21-25 of the Logarithmic Functions booklet. We didn't quite get to the last 3 examples, so we'll tidy them up tomorrow. Your homework for this section is page 26 of the booklet. Here is the key for the Word Problems page (I don't know if they are all correct - let me know if you have any disagreements!). Here is the video for pages 21-22 (start at the 8:00 mark). Here is the video for the "e" and natural logs lesson on pages 23-25. If you are ready to start reviewing for Tuesday's test, here is practice mini-quiz on the main ideas of chapter 7 and 8 (here is the answer key) and if you want more practice, you can do the TEXTBOOK Chapter 7 Practice Test on pages 368-369 and the Chapter 8 Practice Test pages 419-420.
Wednesday May 11: we went through the page 14-16 examples at the end of section 7.3 in the Exponential Functions booklet. Then we did the notes and examples for lesson 8.4 Parts 1 and 2 - applications equations in the Logarithmic Functions booklet. Your assignment is to finish the first 8.4 Worksheet ("Logarithmic and Exponential Equations") in the Chapter 8 Assignment Booklet, and then move on to the second 8.4 worksheet, "Applications of Exponential Functions". If you want to see us go through today's examples again: here are videos for 7.3 part 1, 7.3 part 2 (the one we did today), 8.4 Applications 1 part 1, and 8.4 Applications 1 part 2
Tuesday May 10: we started class by going over page 14 of the Chapter 8 Logarithmic Functions booklet. Then we checked the class for questions about the 8.2 and 8.3 Assignment pages from the Chapter 8 Assignment Booklet, before trying an 8.2 ACC and an 8.3 ACC. Then we did the examples from pages 15-16 on using logs to solve exponential equations in different bases. Here is the video of these pages. You can now do all of the 8.4: Logarithmic and Exponential Equations worksheet in the Chapter 8 Assignment Booklet.
Monday May 9: we started by seeing if anyone had any homework issues with the 8.1 Worksheet in the Chapter 8 Assignment Booklet or the Intro to Logs Assignment (here is the key). Then we did an 8.1 ACC. Then we went through the the first couple of examples of the 8.4 lesson in the Chapter 8 Logarithmic Functions booklet (pages 8-13). If you missed class or want to see pages 8-13 explained again, here is the video. Your job tonight is to try the "your turn" examples on page 14 of the notes booklet (where we left off in the lesson) - we'll go over them tomorrow. After that, keep working on the 8.2 and 8.3 assignment pages in the Chapter 8 Assignment Booklet. If you want more practice, go to the textbook problems listed at the end of each lesson. If you feel you've mastered the 8.2 and 8.3 stuff you can get started on #1-2,7 of the 8.4 Assignment page.
Friday May 6: Back to both classes being in the same place (almost). We went through lessons 8.2 and 8.3 in the 8 Logarithmic Functions booklet. Here is a video for 8.2 and here is a video for 8.3. You can now do the 8.2 and 8.3 assignment pages in the Chapter 8 Assignment Booklet. We'll start Monday's class by going over some 8.1 questions and then do an 8.1 ACC, then I'll give you some work time fo the 8.2 and 8.3 assignments.
AM Class: The fire drill cost us a few minutes, so we didn't get to the last example of 8.3 - we'll catch up on that in Monday's class. Also, yesterday the slot 6 class was introduced to the number e in this video - you should watch it this weekend.
Thursday May 5:
AM CLASS: We lose this class to the Wellness Day Activity
PM CLASS: We started with the 7.2 ACC, then we went through Lesson 8.1 (pages 2-5) in the Chapter 8 Logarithmic Functions booklet. Here is a video of the lesson if you want to review it. Your assignment tonight is the 8.1 Worksheet in the Chapter 8 Assignment Booklet and the Intro to Logs Assignment (here is the key). If you want more practice on this topic, you can do the textbook page 380 questions listed at the end of the lesson. We also spent about 10 minutes of class being introduced to the number e in this video.
PM CLASS: We started with the 7.2 ACC, then we went through Lesson 8.1 (pages 2-5) in the Chapter 8 Logarithmic Functions booklet. Here is a video of the lesson if you want to review it. Your assignment tonight is the 8.1 Worksheet in the Chapter 8 Assignment Booklet and the Intro to Logs Assignment (here is the key). If you want more practice on this topic, you can do the textbook page 380 questions listed at the end of the lesson. We also spent about 10 minutes of class being introduced to the number e in this video.
Wednesday May 4:
AM CLASS: We started with the 7.2 ACC, then we went over the 8.1 Investigation activity from yesterday (here is the key). Next, we went through Lesson 8.1 (pages 2-5) in the Chapter 8 Logarithmic Functions booklet. Here is a video of the lesson if you want to review it. Your assignment tonight is the 8.1 Worksheet in the Chapter 8 Assignment Booklet and (if you still need to) finish up the Intro to Logs Assignment (here is the key). If you want more practice on this topic, you can do the textbook page 380 questions listed at the end of the lesson.
PM CLASS: we started class by going over a couple of homework questions from 7.2. We'll do the 7.2 ACC tomorrow. We'll also set aside the last part of Lesson 7.3 until later and jump into Chapter 8 and go through this Investigation that introduces the concept of logarithm (here are the answers ). No new assignment, but if you are all caught up on the 7.1-7.3 assignments, you can try some of this Intro to Logs Assignment (here is the key).
Tuesday May 3:
AM CLASS: we started class by going over a couple of homework questions from 7.2, then we did the 7.3 ACC. We'll do the 7.2 ACC tomorrow. We'll also set aside the last part of Lesson 7.3 until later and jump into Chapter 8 with two activities: an Investigation that introduces the concept of logarithm (here are the answers ) and the Intro to Logs Assignment (here is the key).
PM CLASS: We then we did the 7.3 ACC., then we went over a couple of questions from page 8 of the Chapter 7: Exponential Functions booklet, then we did Lesson 7.2 and the last example of part 1 of Lesson 7.3 on pages 6,7, and 13 of the booklet. Your homework is to do Page 4 #5-7 and page 8 #4,5. If you want more practice for this lesson, do textbook page 354 #1-4,6,7, C1,C2 and page 364 #1-6, C2. The video for lesson 7.2 is here. Here is a video for the page 13, 7.3 example.
Monday May 2:
AM CLASS:
We went over a couple of questions from pages 4 and 8 of the Chapter 7: Exponential Functions booklet, then we did Lesson 7.2 and the last example of part 1 of Lesson 7.3 on pages 6,7, and 13 of the booklet. Your homework is to do Page 4 #5-8 and page 8 #4,5. If you want more practice for this lesson, do textbook page 354 #1-4,6,7, C1,C2 and page 364 #1-6, C2. The video for lesson 7.2 is here. Here is a video for the page 13, 7.3 example.
PM CLASS:
We went over a couple of questions from page 8 of the Chapter 7: Exponential Functions booklet, then we went through the 7.1 lesson on pages 1-3. The assignment the 7.1 lesson is the #1-4 on the 7.1 Assignment page, which is page 4 of the booklet. The video for the 7.1 lesson is here.
Friday April 28:
AM CLASS:
AM CLASS:
We continued lesson 7.3 in the Chapter 7: Exponential Functions booklet by going through pages 11-12. Then we went through the 7.1 lesson on pages 1-3. The assignment for the 7.3 lesson is page 8 #1-3 in the booklet (if you want more practice, you can do textbook page 364 #1-6, C2), the assignment for the 7.1 lesson is the #1-4 on the 7.1 Assignment page, which is page 4 of the booklet. The video for the 7.3 (pages 11-12) part of this class is the same one I posted yesterday. Start at the 31:00 mark. The video for the 7.1 lesson is here.
PM CLASS:
We finished looking at 3 classic problems. Then we continued lesson 7.3 in the Chapter 7: Exponential Functions booklet by going through pages 11-12. The assignment for this part of the 7.3 lesson is page 8 #1-3 in the booklet (if you want more practice, you can do textbook page 364 #1-6, C2). The video for the 7.3 (pages 11-12) part of this class is the same one I posted yesterday. Start at the 31:00 mark.
We finished looking at 3 classic problems. Then we continued lesson 7.3 in the Chapter 7: Exponential Functions booklet by going through pages 11-12. The assignment for this part of the 7.3 lesson is page 8 #1-3 in the booklet (if you want more practice, you can do textbook page 364 #1-6, C2). The video for the 7.3 (pages 11-12) part of this class is the same one I posted yesterday. Start at the 31:00 mark.
CHAPTER 6 TEST THURSDAY APRIL 28
Wednesday April 27: we did the ACC for 6.4 together (here is the answer key), then had a chance to ask for hints on any of the Chapter 6 problems that you might still be stuck on. Then we started our next unit, Exponential Functions by discussing 3 classic problems. Then I handed out the new Chapter 7: Exponential Functions booklet and we did the first part of the R10, Chapter 7.3 Solving Exponential Equations lesson on page 10. Here is the video of this class from last year (we made it up to about the 31:00 minute mark today). If you finish tomorrow's test early, you can finish the rest of page 10 (see if you can complete it without calculator help). Here is an educational video made by IBM in the 1960s to help students understand exponential growth.
ANSWER KEY MISTAKES: 6.2 Assignment #2c cos 30 = sqrt3/2 not 1/2, 6.2 Assignment #4c is -sinx (you'll notice that this is the original answer, but for some reason, someone crossed it out and wrote in tan x). 6.4 #9 the second answer sould be 2.2575 + (pi)k (they forgot that 1.2199 is the TAN of theta and didn't solve for theta)
Tuesday April 26: we finished the 6.4 lesson today by doing a couple of examples where we had to use our calculators to solve the equations. I recorded the lesson in this video for anyone who missed the class. Then we had some time to work on the 6.4 page in the Chapter 6 Assignment booklet. If you are finished that, you can move on to review. The main reviews for the unit are page 23 of the Chapter 6 Notes Booklet and this Review-Chapter 6 Questions handout (here is the answer key). If you want more practice to play with before the test, here is an old Trig Identities Assignment (the online file has the key), that I found. If you want more than that, you can always do the recommended textbook questions listed at the end of each of the lessons in the notes booklet.
Monday April 25: we started class by going over the answer key to pages 18 and 19 of the Chapter 6 Notes Booklet. See the post from last Thursday below if you want to see a video of me making the key. Then we did the ACC for 6.3 (part 2) (here is the answer key) and if you missed the class here is a video of me going through the ACC and another proof example. Finally, we started the lesson examples for 6.4: Solving Trig Equations using Identities which takes us to the end of the Chapter 6 Notes Booklet. Here is a video of the lesson if you missed it or want to watch any of the examples again. You can now work on the 6.4 page in the Chapter 6 Assignment booklet. If you are ready to start reviewing for Thursday's test, see tomorrow's post.
Thursday April 21: we started by seeing if anyone had any 6.2 homework problems, then we did the ACC for 6.2 (here is the answer key). After that, we spent a few minutes critiquing each other's proofs and whatever time was left over we looked at the Chapter 5 test that I handed back. Over the weekend, make sure you are done all of the 6.3 Assignment in the Chapter 6 Assignment booklet and for more practice, you can do the 6.3 Part 2 extra practice booklet (here is the key). If you want more practice, you can try the textbook problems listed at the bottom of page 17 of the notes. We ran out of time to go over pages 18-19 in the Chapter 6 Notes Booklet, so we'll do that 1st thing on Monday. If you don't want to wait that long to see if you did them right, here is the answer key to pages 18 and 19 (I do 3 of the 4 proofs two different ways each) and a video of me making that key, explaining my reasoning as I go.
Wednesday April 20: we started by seeing if anyone was stuck on any of the 6.3 Part 1 assignments from last Thursday, then we did the ACC for 6.3 (Part 1) (here is the answer key). Today's lesson covers Lesson 6.3 (Part 2), pages 16-19 in the Chapter 6 Notes Booklet. I had the class do pages 18-19 themselves for homework. We'll go over them tomorrow (update: moved to Monday). For homework, you can now do #7,9, and 10 of the 6.3 Assignment in the Chapter 6 Assignment booklet. If you want extra practice on these kinds of proofs, here is an extra practice booklet (and here is the key), Also, you can try the textbook problems listed at the bottom of page 17 of the notes. If you need the video of today's lesson skip to the section from 31:50 to 41:10.
Tuesday April 19: Today we started by going over 6.1 #1d on from the Chapter 6 Assignment booklet, which has an error on the answer key - it's a bit of a controversy actually, and it's kind of fun to talk about. Then we did an ACC for 6.1 (here is the answer key), then we did the lesson for 6.2, Special Identities covering pages 12-15 in the Chapter 6 Notes Booklet. You can now do the 6.2 Assignment in the Chapter 6 Assignment booklet. Here is a video of today's lesson. In this video, today's class is from 0:00 to 31:50 and from 41:10 to the end of the video - the middle section is for tomorrow's lesson.
Monday April 18: CHAPTER 5 TEST
Thursday April 14: All Winnipeg schools are officially going to be closed Wednesday and Thursday. We will be doing classes remotely through Teams. Check your Teams Calendar or SLOT 2 Students: follow this link to join the meeting and SLOT 6 students: follow this link to join the meeting.
For today's class, we did lesson 6.3 (Part 1), pages 6-9 in the Chapter 6 Notes Booklet. Here is a video of the lesson (today's lesson starts at about the 22:20 mark). The homework for this section is page 10 in the notes booklet and the following questions on the "6.3 Proving Identities" page of the Chapter 6 Assignment booklet: #1-6,8. After the lesson, I asked the class if anyone had any questions from Chapter 5 before Monday's test.
Wednesday April 13: Today, For the first part of the period, we started the Trig Identities unit by going through Lesson 6.1 in the Chapter 6 Notes Booklet. Here is a video of the lesson (up to the 22:20 mark - after that, it's the video of tomorrow's lesson) if you missed it or want to see any part of it again. Your Assignment is the 6.1 Assignment page in the Chapter 6 Assignment booklet and page 10 of the Notes booklet. You will have a work period tomorrow. In the 2nd half of today's period, we had time to keep working on Chapter 5 review (see last Thursday's post for the answer keys) and ask questions.
CHAPTER 5 WORK BOOKLET ANSWER KEY ERRORS: 5.1 #2a should be -1/2, 5.4 (the 1st one) #2b has more than 2 answers. it should have 6: 10,50, 130, 170,250, 290 degrees
Tuesday April 12: we started with the 5.4 ACC (here is the answer key) then had work/ask question time to prepare for tomorrow's test. See last Thursday's update for the links to the review assignments and their answer keys.
Monday April 11: we finished up the examples from pages 19-21 of the Chapter 5: Trig Functions and Graphs booklet. If you missed today's class, you can watch Friday's video starting at the 30:00 Minute mark. Page 22 of the booklet is an assignment page that you can have the rest of class to work on (Here are the solutions). If you finish it, you can move on to the two 5.4 worksheets in the Chapter 5 Assignment booklet.
Friday April 8: we started with a 5.2 ACC (the answer key is in this file). Then we went through the 5.4 lesson in the Chapter 5: Trig Functions and Graphs booklet. This takes us up to the end of page 19 in your notes booklet. Here is a video of the lesson - in today's class we made it up to about the 30 minte mark. Monday, we'll quickly re-visit the example on page 19, then we'll go over the examples on pages 20-21. If you want to try those examples for yourself, over the weekend, go for it! After that we'll do a workshop class on solving the word problems associated with these types of sinusoidal problems. Again, if you want to try a few on your own, the problems we'll look at are from page 22 of the booklet (Here are the solutions), or the two 5.4 assignments in the Chapter 5 Assignment booklet. Your main job over the weekend make sure you are caught up on all of the 5.2 material: page 16 of the booklet (answer key is in here), and the two 5.2 worksheets in the Chapter 5 Assignment booklet. If you are done those, see yesterday's post for reviews that you can get started on.
Thursday April 7: We started class with a 5.1 ACC (the answer key is in this file) we corrected pages 14-15 in the Chapter 5: Trig Functions and Graphs booklet together. Then we had time to work on the page 16 assignment and the 5.2 worksheets in the Chapter 5 Assignment booklet. This answer key has all of the solutions for pages 14-16. I pointed out to the class today that if you can do that page 16 assignment, you have pretty much mastered 5.1 and 5.2. If you finished these and want more practice, you can start on the review worksheets I handed out today: a T4 Chapter 5 Review- Part 1 (the file here has keys at the end) and a T4 mini-review (again, the file has an answer key) Further practice can be found in the textbook. I have a couple of extra videos that can support you: here is a video of me going through textbook page 250 #1e and 2f, and here is a video of a coupe of examples from textbook page 253: #15c and #16b.
Wednesday April 6: we worked through the second part of the 5.2 lesson in the Chapter 5: Trig Functions and Graphs booklet. This takes us up to the end of page 13 in your notes booklet. Here is the video if you missed it. For homework, do pages 14-16 of the notes booklet. We'll start tomorrow's class by going over pages 14-15 together, then you will have time to work on page 16 (here is the key) and you can now do both of the 5.2 worksheets in the Chapter 5 Assignment booklet. You should be finished page 16 and the first three pages in the assignment booklet for Friday.
Tuesday April 5: we went through the notes for part 1 of the 5.2 lesson, pageas 8-11 in the Chapter 5: Trig Functions and Graphs booklet. Here is the video if you missed it. For homework, you can get started on the first 5.2 page (if you have finished the 5.1 & 5.3 page) in the Chapter 5 Assignment booklet. You'll probably notice that the questions on the first 5.2 Assignment page are much easier than the examples we did in class. To try some more problems with 4 or more transformations, go to the textbook assignment listed at the bottom of notebook page 11. That's textbook page 250 #1-3. If you can do those, you have got this stuff handled! I highly recommend taking some time to check your answers with DESMOS as well as looking up the answers in the back of the textbook.
Monday April 4: welcome back! I hope everyone had a great break. Today we went through the notes for the 5.1 and 5.3 lessons in the Chapter 5: Trig Functions and Graphs booklet, pages 3-7. I handed out the Chapter 5 Assignment booklet. For homework, you can do the 5.1 & 5.3 assignment on the first page. Here is a video of today's lesson if you missed it or want to see it again.
Friday March 25: we did an introductory lesson/activity for Chapter 5. I don't have a video for it, so if you missed today's class, come in and see me at a lunch hour after the break and I can explain the gist of it to you. I handed out this Chapter 5: Trig Functions and Graphs booklet, but we won't start the notes in it until after the break. After the activity, we watched and discussed some of the following video animations. Your only homework over the break is to watch the rest of them.
- Generating Sine Curves from the unit circle (version 1 and version 2), and my favourite, the interactive unit circle
- This one is pretty cool, too.
- These videos that will get you thinking about real-world applications of this kind of math: ferris wheel, cgi spring, spray paint on a spring, newtonian pendulum (number 1, number 2, number 3).
- Finally, check out this beautifully animated video showing the relationships between trigonometry and circular motion.
Have a great break, everyone!
CHAPTER 4 TEST (T1, T2-T3, T5) - THURSDAY MARCH 24th
ANSWER KEY MISTAKES IN THE CH 4 BOOKLET: 4.3 #1h should be undefined, #3d should be 13/12 and #3f should be undefined. 4.4 #2g - the 9pi/4 should be 11pi/4
Wednesday March 23: we had a work/review day to get ready for tomorrow's test. See yesterday's update for the review questions.
Tuesday March 22: First, it was CUSR day! Then we did the second 4.3 ACC from this this 4.1-4.3 ACC booklet (here are the answer keys). Then we had some time to work through the 4.4 worksheet on page 30 of the Chapter 4: Trigonometry and the Unit Circle booklet. If you are done those, it's time to start review. I handed out the T5 Review (here is the answer key), and the booklet of old exam problems (omit 2017 #32, 2016 #9, and 2014 #40) (here is the answer key - small error on June 2015 #2: it should read "and" not "or"). If you want extra-EXTRA practice questions, do textbook Page 211#1-3, 4 & 5, 7-11, 13, 18, C4, C3. and Pages 215-219. Also, if you missed today's class, I do need your CUSR data. Watch this video and send me your CUSR choices or I'll pick them for you.
Monday March 21: We started with the first 4.3 ACC from this this 4.1-4.3 ACC booklet (here are the answer keys). Then we covered the 4.4 Lesson examples (pages 23-27) in the Chapter 4: Trigonometry and the Unit Circle booklet. The assignment for this section is the 4.4 Worksheet on page 30 of the booklet. As usual, there are extra practice problems in the textbook if you need them, just check the bottom of page 27 for the details if you want to try them. If you missed today's lesson, the videos that covers it are here (part 1) and here (part 2) - these are videos of full, remote learning classes, including some homework questions and stuff, so keep your mouse finger ready to fast forward. Alternately, you can watch Ms Cox's videos here (part 1) and here (part 2).
Thursday March 17: started class today, by doing three of the first four ACCs from this 4.1-4.3 ACC booklet (here are the answer keys). We did 4.1, then the first and third 4.2 pages. You can do the 2nd 4.2 (with the enitre unit circle) on your own. Then we finished the examples on pages 22-23 of the Chapter 4: Trigonometry and the Unit Circle booklet. That brings us to the end of the 4.3 lesson and we had a little work time. You can now do all of the page 29, 4.3 worksheet problems. If you are looking for extra practice on 4.1-4.3, you can do textbook questions Page 175#7-11, Page 186 #1-3, Page 201 #1-3,6,8-11,13. If you missed today's class, the examples we covered today are covered at the end of this video.
Wednesday March 16: We started class by finishing off the grade 12 unit circle on page 16 and comparing it to the completed one on page 20. Then we continued into the 4.3 Lesson (pgs 17-22) in the Chapter 4: Trigonometry and the Unit Circle booklet. If you missed the lesson you can see the videos I posted to the blog yesterday (today's lesson covers the material in the videos: Part 3 and Part 4 (we still need to finish the last couple of pages of this video's examples tomorrow). You can now do the #1 and #2 4.3 questions on page 29 of the booklet. We'll learn how to do the #3 questions tomorrow.
Tuesday March 15: today's class started with this 4.1 ACC (here is the key). Then we get into the 4.3 lesson in the Chapter 4: Trigonometry and the Unit Circle booklet. For today and tomorrow, the videos of the lessons are numbered a little differently on the weebly than they are in your notes, but here is the correct order compared to the way I do the course: Part 1, Part 2, Part 3, Part 4, (we made it to the end of Part 2 today). If you want a review of how to get unit circle coordinates, that includes referring to the angles in radian measure, go back to this video - it reviews and expands on the ideas from Thursday's lesson. This picture is a nice way to visualize all 6 trig functions.
Monday March 14: We finished off lesson 4.1 on pages 8-9 of the Chapter 4: Trigonometry and the Unit Circle booklet. This video here covers this part of today's class, starting at the 40 minute mark or so. If you would rather watch Ms Cox's version of the lesson, watch this video. Then we ventured into Lesson 4.2 on pages 10-12. The homework for this lesson is #3 in the 4.1 assignment, and all of the 4.2 questions on pages 28-29 of the booklet. For question #2 part e, if you are wondering why it asks for SIX trig functions instead of 3, don't worry - that's part of tomorrow's lesson (just do sin, cos, and tan for now). If you missed the 4.2 lesson or want to see it again, here is the video of my class. Here is Ms Cox's video, if you want a slightly different perspective.
Friday March 11: Chapter 3 Test. If you are done early work on the stuff from yesterday.
Thursday March 10: After checking to see if anyone had any last day questions from Chapter 3 (test tomorrow), I started the Chapter 4: Trigonometry and the Unit Circle booklet today. Lesson 4.1 takes us through pages 3-7 (with a nice little treat on page 4). You can re-watch my version of today's lesson with the video here (we made it to the 40 minute mark). Alternately, you can see Ms Cox's version of the 4.1 Lesson here: (part 1 and part 2). For homework over the weekend, you can try filling in the blank unit circles that I handed out yesterday (at each point, state the number of degrees and the grid coordinates), then you can try the Grade 11 Trig Review Worksheet (this file has the answer key at the end). I highly recommend that if you get stuck on old trig concepts, you go back to the Chapter 2 section of the Grade 11 FRC Math Videos. After that, do the 4.1 assignment on page 28 of the new booklet (skip #3, we'll do that on Monday). If you want a nice reminder of what pi is, or maybe you are unaware of it's history, this video is a nice definition, and this video is a nice overview of its history.
STUPID QUESTION ERROR CHAPTER 3 BOOKLET PAGE 25 #5f this function has no integer factors. Skip it or use Desmos to graph it (the answer key is wrong)
ANSWER KEY ERROR: CHAPTER 3 BOOKLET PAGE 11 #6b the answer should be NO, it is not a factor, r=72 (or, if you change the question to "-36" the answer is correct as given)
Wednesday March 9: We started class with ACCs for 3.3 and 3.4. For anyone who missed class Here is a video of me making the answer keys. After that, I went over homework requests and gave people work time for the R11, R12 (Chapter 3) Review. If you finish all that and still want more review, see textbook pages 153-156. Also, we need to start looking ahead to the trigonometry demands that will be coming in Chapters 4-6. I handed out some things to help us prepare for that.
Tuesday March 8: Someone pointed out to me that page 17 doesn't have an answer key in the booklet, so here it is. Sorry about that. I went over page 21, then we did pages 27-30 of the Chapter 3: Polynomials Booklet. Here is the video of this lesson. You should now be able to do all of pages 22-24 (here is an answer key) and the page 25 3.4 worksheet. There isn't any practice on the stuff we did today on that page (and there will only be 1 question like it on Thursday's test) so if you want more practice, try a couple of the textbook questions listed at the bottom of page 30. If you are ready to start reviewing, yesterday I handed out the R11, R12 (Chapter 3) Review. If you finish all that and still want more review, see textbook pages 153-156.
Monday March 7: we did the 3.2 ACC from this booklet. The answer key is on the 4th page of this file. Then we did the last lesson 3.3 example on page 16 of the Chapter 3: Polynomials Booklet. After a quick check to see if anyone was stuck on the page 11 or 17 homework questions, we started on lesson 3.4, covering pages 18-20. If you missed the class, you can see the lesson in these three videos: part 1, part 2, part 3. For homework tonight, try the examples on pages 21-24. Feel free to check your answers with DESMOS, but here is an answer key for pages 21-24 if you can't get Desmos to work. I will go over a couple of them tomorrow before we finish the last part of lesson 3.4. If you get through those, see how much of the page 25, 3.4 worksheet you can get through. If people want to start looking ahead to the test later this week, I handed out the R11, R12 (Chapter 3) Review.
Friday March 4: we did the 3.1 ACC in our spiffy new Chapter 3 ACC booklet. The answer key is on the 2nd page of this file. Then we checked to see if anyone had homework issues - and, oh dear - everyone was stuck on page 11 #7 but sorry, that's MY fault. It turns out, you need today's lesson to be able to do those. Oops! We'll re-assign #7 for Monday. Then we went though the 3.3 Factor Theorem lesson on pages 13-16 in the Chapter 3: Polynomials Booklet. We'll go through the very last example on page 16 on Monday (feel free to try it yourself). For homework, you can now do all of page 17 (and #7 on page 11!) in the booklet. Here is the answer key for page 17. The videos for todays lesson are here: part 1 and part 2. If you want more practice on anything from today or yesterday, check out the textbook problems listed at the bottom of notes booklet pages 10 and 16.
Thursday March 3: we did the second part of the 3.2 lesson on pages 8-10 in the Chapter 3: Polynomials Booklet, covering both long division and synthetic division as well as the Remainder Theorem. The Remainder Theorem part of today's lesson can be seen in these two videos: part 1 and part 2. The videos I linked to yesterday have the long and synthetic division examples. Tonight, you can now do all of page 11 in the booklet and if you are ready to move on, you can do the 3.2 sections on page 17. We also spent a few minutes today looking at graphing polynomial functions on DESMOS, as we went through the lesson. If you want to play with those graphs for yourself, here is the file.
Wednesday March 2: today we did the first lesson (3.1) in the the Chapter 3: Polynomials Booklet, covering pages 2-6 and we started looking at 3.2. long division on page 7. The video for this lesson is in two parts: Part 1 is here and Part 2 is here. The homework for this assignment is in the textbook: Read (yes, READ) pages 108-113, and do page 114 #1-4,6,C1, C2. You'll have a couple of days to do this assignment, since tomorrow's lesson won't have an assignment (yet). Check out this file - it always makes me smile.
Tuesday March 1: CHAPTER 2 TEST. If you finish with some time to spare, you can get ready for chapter 3 and work on this Factoring Practice (here is the answer key). If you want to see examples to help you review this type of factoring, you can check out this video it covers all of the examples in this Factoring Notes handout.
Monday February 28: We started with some student questions from the 2.2 and 2.3 worksheets in the Radical Functions booklet. The 2.2 answer key has incorrect ranges for the original functions in #3. Then we did a 2.2 ACC and a 2.3 ACC (answer key attached - and here is a video of me making the 2.3 answer key in case you missed class and you are trying it from home). If you haven't already done these, tonight you should work on the review at the end of the booklet and the extra practice sheets I handed out on Friday (see Friday's update for the answer keys). Test tomorow. If you already finished the reviews I handed out on Friday and you are looking for more practice, there are extra assignments in your textbook: Page 72 #1-5,9-11,16, C1, C2 and Page 86 #1-6,8,10,16 as well as the chapter reviews/practice test on pages 99-102.
Friday February 25: We finished up pages 13 and 14 of the 2.2 lesson in the Radical Functions booklet. If you want to play around with the desmos file I used in the examples, here it is. Then we went through the 2.3 Lesson on pages 17-20 Here is a video for Lesson 2.3 in case you missed class or want to see the examples again. Your homework for Monday is the 2.2 worksheet on page 15 and the 2.3 worksheet on page 21 of the booklet. If you finish that, you can get started on the review on pages 23-28 of the booklet. If you are looking for more review, I handed out a couple of review worksheets for people who want to get ready for next week's test: The first is a 2.1 ACC Practice Quiz (here is its answer key), the next one has a Mental Math - Transforming Radical Functions page on the front (here is the key) and a back that says Warm Up (here is the key for that one).
Thursday February 24: After checking to see if anyone had homework issues, we did the 2.1 ACC (the file here has a key). Then we went through most of lesson 2.2 in the Radical Functions booklet. Here is the video if you missed the lesson or want to see it again. We'll finish up the last few examples tomorrow before we start the 2.3 lesson. The next assignment is the Extra Practice questions on the bottom of page 14 and the page 15 2.2 worksheet.
Wednesday Febraury 23: we started our new unit and handed out the Radical Functions booklet. We went through lesson 2.1 (you can watch the video here). Your new assignment is the 2.1 Radical Functions Sheet on page 7 of the booklet. We'll do the 2.1 ACC tomorrow.
Tuesday February 22: the slot 2 class lost their math class to a grad presentation in the gym. It makes my life too difficult to have two sections of the same course at two different places in the curriculum, so for fun I had the slot 6 class try their hand at this 2021 University of Waterloo Math Contest. If anyone from the slot 2 class wants to give it a try, you can download it. If anyone in either class enjoys this kind of problem solving and wants to give the 2022 contest a try, you can register with me before the deadline on March 11th. The contest itself will be held at 8:30 AM on Tuesday April 5th.
Friday February 18: TEST 1: CHAPTER 1 R2-5, R6. Have a great, homework-free long weekend!
Thursday February 17: After we did a 1.4 ACC, it was a review class for chapter 1. If you have finished all of the assigned questions in the notes booklet and the 1.3 Extra Practice Booklet (here is the key), and the Extra Transformations Practice sheet (here is the key), then you can find more practice on pages 56-59 of the textbook.
Wednesday Febraury 16: we finished lesson 1.4, pages 29-31in the Chapter 1: Transformation and Functions booklet. You can now do all of the 1.4 assignment is on page 31 (note there is a mistake on the answer key for #4b: it should be C=9/5F+32. This makes their c answer wrong, too), and if you want extra practice you can try some questions from the textbook assignment listed on page 28. If you missed the class or want to see the examples again, today's lesson is this video.
Tuesday February 15: we started with a 1.3 ACC (the file linked here has a key at the end) and then we moved in to part 1 of Lesson 1.4 on pages 26-28 in the Chapter 1: Transformation and Functions booklet. The 1.4 assignment is on page 31, but you might not want to tackle anything after #2 until we go through the examples tomorrow. If you want extra practice you can try some questions from the textbook assignment listed on page 28. If you missed the class or want to see the examples again, today's lesson is this video.
Monday February 14: Today we went through a few of the problems together on the 1.3 worksheet on page 24 of the Chapter 1: Transformation and Functions booklet. Then we let students have the rest of the class to work on questions from page 38 of the textbook. If you struggled a lot with the 1.3 worksheet, start with #1,3,4. If the worksheet went well, jump to the more challenging questions: 6,7,9,15. We'll do a 1.3 ACC tomorrow, then move on to 1.4. 1.3 is the most important part of the chapter and it will make up most of the marks on this Friday's test. So I handed out a 1.3 Extra Practice Booklet (here is the key) and an Extra Transformations Practice sheet (here is the key). If you want to save these two handouts until later in the week to use as test reviews, that's a good idea, too. Finally, take a minute to celebrate Valentine's Day by checking out these awesome Desmos Graphs!
Friday Feb 11: we started with a 1.2 ACC (here is the key). Today's lesson 1.3 doesn't really have any new skills, it just asks us to transform functions combining shifts (1.1) and reflections/stretches (1.2) in the same questions. That takes us through pages 21-23 in the Chapter 1: Transformation and Functions booklet. The assignment is the 1.3 worksheet on page 24. If you want more practice, you can try some of the textbook questions listed at the bottom of page 23 in the notes. If you missed all or part of the lesson here is a video that covers most of it.
Thursday Feb 10: we finished up the examples in the 1.2 lesson on pages 16-18 of the Chapter 1: Transformation and Functions booklet. Then we did a 1.1 ACC together (here is the key). Then we had time to work on the 1.2 assignment on page 19. If you want more practice, you can do the textbook assignment from the bottom of page 18 in the booklet (page 28 of the textbook). If you missed all or part of the lessons, from today or yesterday, they are covered in the following videos: Part 1, Part 2, Part 3.
Wednesday Feb 9: we went over the "you try" examples on page 8 of the Chapter 1: Transformation and Functions booklet and talked about a couple of problems from last night's 1.1 assignment on page 10. If you want to play with the Desmos files that I used in class, here is Question #2 and Question #3. Then we started to go through pages 12-18, the notes and examples for lesson 1.2 in the Transformation and Functions booklet. We didn't quite get to the examples today, so we'll finish that tomorrow, then have some time to work on the assignment (which you can try starting tonight if you want), 1.2 Worksheet on page 19. If you want more practice, you can do the textbook assignment from the bottom of page 18 in the booklet (page 28 of the textbook). If you want another look at the lesson, the videos are here.
Tuesday Feb 8: we went over a couple of the things people were stuck on, in the What Do You Remember? sheet. Then we finished Lesson 1 in the Chapter 1: Transformation and Functions booklet. There are videos for this lesson here. Your assignment is the 1.1 worksheet on page 10 of the booklet. If you want extra practice, you can do the textbook assignment from the bottom of page 8 in the booklet (page 12 of the textbook).
Monday February 7: Welcome to Semester 2: Grade 12 Pre-Calculus Math. Today we went over a course outline, We begin the course with a a little grade 10 and 11 skill review booklet, called What Do You Remember? to get things started while I assign textbooks and make a seating chart. For the remainder of the class we went through the first page of the Chapter 1: Transformation and Functions booklet, which reviewed the grade 10 concepts of domain and range of a function. We will start our first new lesson in the 40S course in that booklet tomorrow. Tonight, see if you can finish the What Do You Remember? sheet.
SLOT 5 - MES40S - GR 12 ESSENTIAL MATH
Thursday June 16: LAST POST OF THE YEAR!
Hello Everyone!
Well that's about it for the semester. It was a pleasure to be your MES40S teacher. I hope you all have great summers and go on to fun things next year, whatever they may be.
Check your grades and you will see that the last unit tests (Probability) are now recorded. If you want to come in and get yours, you have until next Wednesday - after that they go to the shredder.
If you are one of the students who still owes an assignment or a test, I will send you an Edsby message (if I haven't already) to arrange for you to come in next during the assessment week.
Fare thee Well!
Mr K
Wednesday June 15: Today is the day some students will write the OPTIONAL RE-TEST where they can try to re-do any one of the unit tests that they want. If they get a higher score this time around, it will replace their previous mark. If it is lower, the two marks will be averaged out.
Students who have chosen NOT to re-write any of the course's tests and have finished their Probability test: I do not expect you to attend today's class and there will be no new material taught. Having said that, I DO still HAVE to take attendance and report you as absent if you chose to stay home.
If you have to be at school but are not re-testing, you can consider the class time as study time for your science exams, or use the time to finish assignments like the Vehicle Finance Project and the Probabilities Hand In, which I will still accept for marks. You could also use the time to finish work for your other courses.
The library may not be available, so if you are coming to school in slot 5 on Wednesday, you will have to stay in 203.
PROBABILITY TEST - TUESDAY JUNE 14th
Monday June 12: we went over the Probability Review together after some work time. Test tomorrow. Today was the final deadline for turning in the Probabilities Hand In. After one last call to see if anyone had it ready to hand in, I handed it back and we went over the questions on it.
Friday June 10: more work time for Assignment 7 #1-4 in the Probability Assignment Booklet. The answer key for Assignment 7 is in this booklet. If you are done that, work on this Expected Outcome worksheet (here is its answer key) and this Extra Probability workbook (this is kind of our review for the unit - it has its key included). There are still some people who haven't handed in the Probabilities Hand In - you have until Monday.
Thursday June 9: we started with a mini quiz to see how the unit is going so far. Then we did the last lesson in the Probability Notes Booklet, Lesson 5: Making Decisions Based on Probability. You can now do Assignment 7 #1-4 in the Probability Assignment Booklet. The answer key for Assignment 7 is in this booklet. Also, it's CUSR time again! If you missed today's class and want to change the CUSR letters from whatever you had on your last report, you can message me on Edsby with your new picks. If I don't hear from you, I'll just go with the Term 3 data. If you have forgotten what CUSR is all about, watch this video. One last thing we did today: I handed out a re-test sign up sheet, for anyone who wants to re-test any of the chapter tests from this semester. If I don't get this back by Tuesday, I will assume that you don't want to re-test anything!
Wednesday June 8: work time for the booklet of Probability Exam Problems, and the Probabilities Hand In. If you are done those, you can start on this Expected Outcome worksheet (here is its answer key) and this Extra Probability workbook (this is kind of our review for the unit - it has its key included).
Tuesday June 7: we went over Assignments 4 and 6 in the Probability Assignment Booklet together. The answer keys for Assignments 4 and 6 are in this booklet. Then we had work time for the Probability Exam Problems, and the Probabilities Hand In.
Monday June 6: another work period for Assignments 3,4, and 6 in the Probability Assignment Booklet. If anyone works fast enough to finish these three assignments, work on the Probability Exam Problems, and the Probabilities Hand In. We'll do a mini-quiz on Thursday.
Friday June 3: we had time to work on Assignments 3,4, and 6 in the Probability Assignment Booklet. Assignment 3 is especially time consuming, since you have to perform experiments and record the data. Having said that, if anyone works fast enough to finish these three assignments, yesterday I hand out a booklet of Probability Exam Problems, and a Probabilities Hand In to work on. We'll do a mini-quiz on Tuesday.
Thursday June 2: we went through Lesson 4: Expected Values in the Probability Notes Booklet. The assignment for this section is Assignment 6 in the Probability assignment booklet (here is the answer key). Tomorrow will be a work period. Here is a link to the video for Lesson 4, in case you missed today's class.
Wednesday June 1: Today we started by going over Assignments 1 and 2 in the Probability assignment booklet (here is the answer key). Then we did the notes and examples for Lessons 2 and 3 in the Probability Booklet. Here is a video of the lesson for anyone who didn't attend the class. You can now work on Assignments 3 and 4 in the Probability Assignment Booklet. I'll be giving people a work period for these on Friday.
Tuesday May 31: we started with more work time for Assignments 1 and 2 in the Probability assignment booklet (here is the answer key). Then we discussed this classic probability problem for a while. It's based on this game show It has an interesting history, as we saw in this video. We played this simulation just to make sure.
Monday May 30: My guest teacher, Mr Favreau went through some refreshers from the first Probability lesson that we did last Wednesday, then the class had time to work on the Probability Puzzle page (What did the girl rock say to the boy rock?) and Assignments #1 and 2 (pages 1-6) in the Probability Assignment Booklet (Here is the answer key).
STATISTICS TEST: FRIDAY MAY 27 (closed book - you are allowed a study sheet)
Thursday May 26: we spent a few minutes going over the Statistics Unit Review, then we had the rest of the class to prepare the study sheet and work on this Statistics Practice Test (the answer key is at the end of the file). Reminder that the test is tomorrow.
Wednesday May 25: Today we went through the first lesson in the new Probability Booklet. Here is a video of the lesson we did in class for anyone who may have missed class today. The assignment is the Probability Puzzle page (What did the girl rock say to the boy rock?). You can work on this if you have time to spare after you finish the test on Friday.
Tuesday May 24: we started class by going over this booklet of Percentile problems from old exams. Then we had time to finish the Percentiles Hand In and the Statistics Hand In (both due by the end of this week) or work on the Statistics Unit Review. We test this Friday. You are allowed a study sheet for this test, so it would be a good idea to start one today.
Friday May 20: work period. See yesterday's update for links to the assignments.
Thursday May 19: We did a measurement activity using MMMR and percentile calculations together. If you missed this class, here is a video explaining the basics of the activity. Tomorrow will be a work period for you to work on: Percentiles Hand In or the Statistics Hand In (both due next week). If you are finished those, my guest teacher will handout this booklet of Percentile problems from old exams (we'll go over it on Monday), and the Statistics Unit Review.
Wednesday May 18: after a little bit of work time, we went over some Assignment #3 questions on pages 21-24 of the Statistics Booklet. Then we watched this video discussing Percentiles. Then we looked at some important Statistics ideas that we WON'T test you on, but if you ever get to a Statistics course or any course after high school where you have to deal with data, I promise you, understanding these ideas will be very useful! We looked at Standard Deviation (and here), the Normal Distribution (and here and check this out and this), and Factorials and Arrangements.
Tuesday May 17: we started class by going over the booklet of weighted and trimmed mean questions from the January 2019 provincial exam. Then we did the notes and examples for Lesson 3 in the Statistics Booklet. Here is a video of the lesson for anyone who missed the class. Then we had work time for Assignment #3 on pages 21-24 of the booklet (here is the answer key), which we will go over tomorrow. If you are done that, you can work on the Percentiles Hand In or the Statistics Hand In .
Monday May 16: I have booked a library period to FINISH and HAND IN the Vehicle Finance Project. Anyone who hands it in early (the original due date) on Friday gets bonus marks, but for the folks who need more time, this is it! By the end of the period, hand in what you have done. It doesn't need to be typed - neat, legible writing or printing is fine. If you missed class today, you can hand it in to be over Edsby. Anyone who hands it in after the end of today will lose marks for it being late.
Friday May 13: we started with some work time for the Assignment #2 questions 1-5 on pages 14-17 of the Statistics Booklet. Then we watched this video that helps summarize a lot of the ideas from lessons 1 and 2. Then I handed out a booklet of weighted and trimmed mean questions from the January 2019 provincial exam (this file has an answer key and exemplars). We will go over these problems on Tuesday.
Thursday May 12: we moved on to Lesson 2 on pages 10-13. Your new assignment is Assignment #2 questions 1-5 on pages 14-17 of the Statistics Booklet. Here is the answer key for it. Check back here later this afternoon for a video of the lesson and notes for today. In class, our discussion of outliers in data, lead us to this video and this video.
Wednesday May 11: we started with some time to work on Statistics Booklet, Assignment #1 on pages 4-9 (here is the answer key). Then we went over a few of the questions together. Then I handed out a booklet of MMMR Problems from an old provincial exam. We went over a couple of them. No new assignment. Here is a video of the class going over Assignment #1 and the booklet questions for those who missed the class today.
Tuesday May 10: I handed out the new Statistics Booklet. We did the Lesson 1 examples on pages 1-3. Your first assignment is Assignment #1 on pages 4-9 (here is the answer key). If you missed today's lesson or want to see it again, here is the video of it. If you finished with time to spare, the rest of class was work time for the Vehicle Finance Project.
VEHICLE FINANCE TEST MONDAY MAY 9
Friday May 6: we'll meet in the Library to work on the Vehicle Finance Project. If you don't finish it in this period, you will have to finish it for homework. This will be your only in-class work time. It must be handed in before the end of next week.
Thursday May 5: we had some more time to work on the Vehicle Finance practice test. Then we went over it together. Here is a video of me going over it with the class. Other than making your STUDY SHEET that you are allowed to bring in to the test on Monday, you should be ready - given a little bit of studying!
Wednesday May 4: After a few more minutes to work through then, we went over a few of the Assignment 9 questions # 1-5 in the Vehicle Finance Assignment Booklet. Here is the answer key. Then I handed out this negative equity guide and we discussed it a bit. Then I handed out your Vehicle Finance Project and we went through how it will be completed. I also handed out a Vehicle Finance practice test. The test is Monday. You are allowed to bring in a single page of notes for the test.
Tuesday May 3: we started the class with some time to work on Assignment 8 #1-4 in the Assignment booklet. Here is the answer key. Then we went over a few of the questions together. Then we did Lesson 9 in the Vehicle Finance Notes Booklet, Car Loans. Here is a video of the class. Your new homework is Assignment 9 questions # 1-5 in the Vehicle Finance Assignment Booklet. Here is the answer key.
Monday May 2: Then we did Lesson 8 in the Vehicle Finance Notes Booklet, Leasing a Vehicle. If you missed the lesson, here is a video. You can now do Assignment 8 #1-4 in the Assignment booklet. Here is the answer key.
Friday April 29: After some work time, we went over a few Assignment 7 questions together. Then I handed out some Old Exam Vehicle Finance Problems that we worked on together. Here is the answer key. Reminder that today was the deadline to hand in the Fuel Economy Hand-In Assignment. If you missed class today and you have it at home, please take a picture of your work and send it to me on Edsby.
Thursday April 28: we started with some time to work on Assignment #6 in the Assignment booklet (here is the answer key). Students who were finished used the time to work on the Fuel Economy Hand-In Assignment which needs to be handed in by tomorrow. Then we went through Lesson 7: Buying a Used Vehicle in the Vehicle Finance Notes Booklet. You can now do Assignment 7. Here is a video of the lesson, in case you missed the class or need to see it again.
Wednesday April 27: we started with some time to work on Assignment #5 #1-4 in the Assignment booklet (the answer key can be found in this file). Students who were finished used the time to work on the Fuel Economy Hand-In Assignment. Then we went through Lesson 6: Depreciation in the Vehicle Finance Notes Booklet. You can now do Assignment 6 #1. If you missed this class, the video of Lesson 6 starts at the 14:30 mark .
Tuesday April 26: To get class started, I handed out your first hand in assignment for this unit: the Fuel Economy Hand-In Assignment and gave the class 20 minutes or so to work on it. Then we did Lesson 5 in the Vehicle Finance Notes Booklet: Buying a New Vehicle. If you missed today's class, here is the video (today's lesson goes up to the 14:30 mark - the rest is tomorrow's lesson). The next assignment is Assignment #5 #1-4 in the Assignment booklet. The answer key can be found in this file.
Monday April 25: we started class with some time to work on Assignment 4 #2a, 2b, 3,4,5,7,8 in the Assignment booklet. Then we went over the answers together. Here is the answer key (it also has the key for the assignment 5). Here is a video of me making the answer key if you need further explanations. After that, we discussed the cost of fuel for a vehicle as part of home budgeting considerations and looked at this helpful government website and this EnerGuide explanation.
Thursday April 21: today we continued our discussion of Lesson 3 together, based on this year's AUTOPAC Insurance Rate Calculator - we spent a few minutes in class going through it. We also spent a few minutes on the MPIC Licensing page, to see how much having a bad driving record (moving violations and accidents caused) will increase how much you pay! Some of the other topics we discuss involve learning about how Manitoba's government run, public insurance compares to other provinces where private companies sell vehicle owners their insurance. We did some investigating here - it's interesting - people who think that privatization of the auto-insurance industry would create more competition and lead to cheaper insurance are not necessarily correct. After that, we started Lesson 4: Fuel Economy in the Vehicle Finance Notes Booklet. Here is a video of the lesson if you missed it or want to see it again. Your assignment is Assignment 4 #2a, 2b, 3,4,5,7,8 in the Assignment booklet. Here is the answer key (it also has the key for the assignment 5). Here is a video of me making the answer key if you need further explanations.
Wednesday April 20: we started class with some time to work on Assignments #1 and 2 in the Assignment booklet (here is the answer key) before we went over a few of the questions together. Then we Then went through lessons 3 in the Vehicle Finance Notes Booklet. We're not going to do calculations or a formal Assignment for Lesson 3: Autopac. We'll finish the conversation in tomorrow's class.
Tuesday April 19: we started the new Vehicle Finance Notes Booklet by going through the notes and examples for Lessons 1 and 2. We also watched this video together. I'll give you some time in tomorrow's class so you can work on Assignments #1 and 2 in the Assignment booklet (here is the answer key). If you missed class today, here's the video for Lessons 1 and 2 that I made last year.
HOME FINANCE TEST MONDAY APRIL 18th
Thursday April 14: All Winnipeg schools are officially going to be closed Wednesday and Thursday. We will be doing classes remotely through Teams. Check your Teams Calendar or follow this link to join the meeting.
In class today, we'll go over a couple more Assignment 10 questions in the Home Finance Assignments Booklet. Then we'll go over some questions from the Practice Test. Test is Monday. As a nice closer for the Home Finance Unit, here's a link to this governement document from the Rental Tendencies Board, which is a branch of the government created to protect the rights and enforce the meeting of the responsibilities of renters and landlords.
Wednesday April 13: We went through a couple of examples from Assignment 10 in the Home Finance Assignments Booklet. Then we had time to work on the rest of Assignment 10 and the Practice Test.
Tuesday April 12: we started with time to work on Assignment 9 in the Home Finance Assignments Booklet. Then we went through Lesson 10 in the Home Finance Notes Booklet. If you missed today's class you can catch up on Lesson 10 starting at the 14:48 mark of this video. Then we had time to work on Assignment 10 in the Assignment booklet. You can have more time tomorrow to finish it, then we'll spend a couple of classes doing review. I handed out this Practice Test, that we can do for review. The test will now be Monday.
Monday April 11: class was cancelled today due to an incident that kept students from slot 3 in lockdown over the lunch period. So slot 5 today became our lunch period.
Friday April 8: I handed back and we went over the Lesson 5-7 Mini Quiz from yesterday. We wrapped up lesson 8 by watching the first 11 minutes of this video. It's similar to the one we looked at back at the start of the unit - comparing the financial advantages to owning vs renting. Then we went through Lesson 9 in the Home Finance Notes Booklet. I'll give you time on Monday to work on Assignment 9 in the Home Finance Assignments Booklet. If you missed today's class, you can catch up on Lesson 9 in the first 14:48 of this video.
Thursday April 7: we started with a mini-quiz on lessons 5-7. Then we went through Lesson 8 in the Home Finance Notes Booklet. If you missed today's class, I don't have a video for Lesson 8, but you can re-watch this video that we saw back on the first day of the unit. It discusses some pros and cons of renting vs. owning a home.
Wednesday April 6: We did a couple more examples of efficiency calculations, looking at the Canadian EnerGuide system. We also had some work time to finish up Assignment 7 in the Home Finance Assignments Booklet before we went over it together. I found this video that covers today's lesson AND yesterday's lesson! Huzzah!
Tuesday April 5: we finished up Lesson 7 in the Home Finance Notes Booklet. Then we had time to work on Assignment 7 in the Home Finance Assignments Booklet. Sorry, I don't have a video for this part of Lesson 7, so if you miss today's class, pop in and see me when you get back (I am available most lunch hours) and I will go over the efficiency formula with you.
Monday April 4: welcome back! I hope everyone had a great break. After some work time where I handed back the Mortgage Hand In and the mini-quizzes from before the break, we went over some questions from Assignment 6 in the Home Finance Assignments Booklet together. Then we started Lesson 7 in the Home Finance Notes Booklet. We didn't get to the efficiency calculations, so we'll do that tomorrow. If you missed the class, this video covers the lessons for last Friday and today.
Friday March 25: we did Lesson 6 today in the Home Finance Notes Booklet. You can now do Assignment 6 in the Home Finance Assignments Booklet. Here is the video of the lesson - today we only went as far as the end of Lesson 6 - the video keeps going into Lesson 7. Have a great break, everyone!
Thursday March 24: we started with a lesson 4 mini-quiz, then had some time to work on Assignment 5 in the Home Finance Assignments Booklet. Towards the end of class, I went over a couple of the questions with the whole class. We finished up today's class watching and discussing a couple of recent news videos about houses and mortgages: this one and this one.
Wednesday March 23: we started with a lesson 3 mini-quiz, then we did the calculation examples for Lesson 5: Other Costs in the Home Finance Notes Booklet. You can now do Assignment 5 in the Home Finance Assignments Booklet. Here is the video of Lesson 5 if you missed today's class (this video also includes the lesson for yesterday's class). Tomorrow we'll have some time to work on the Assignment 5 questions in the Home Finance Assignments Booklet.
Tuesday March 22: It's CUSR day! Then we went over some Assignment 4 questions. Finally we went through the first page of Lesson 5: Other Costs in the Home Finance Notes Booklet. We'll finish the rest of the lesson tomorrow. Get those Mortgage Hand Ins to me! They count for marks (a few of you really NEED those marks!). Here is the video of Lesson 5 if you missed today's class (this video also includes the lesson for tomorrow's class). Also, if you missed today's class, I do need your CUSR data. Watch this video and send me your CUSR choices or I'll pick them for you.
Monday March 21: first we had some work time for Assignments 3 and 4 quesitons in the Home Finance Assignments Booklet. PLEASE NOTE: For Assignment #3, you have to use the online mortgage calculator that we used in last week's lesson to get their answer for #2. For #3, the best answer would be to cut down on Entertainment expenses or put less $ into savings (you can think of the equity in the house as savings, so it's sometimes just as good to put $ towards the prinicipal of the mortgage as it is to invest it). For #4, using the online calculator, your answers should be: a) $39 509.13, b) $145.16, c) 13 years, d) $6 131.78
Thursday March 17: We did Lesson 4: GDSR in the Home Finance Notes Booklet. Here is a video of the lesson if you missed it. Then we had work time today, you can work on the the Mortgage Hand In and the Assignments 3 and 4 quesitons in the Home Finance Assignments Booklet.
Wednesday March 16: we started with our first mini-quiz of the Home Finance unit. Then I handed out and we had time to work on the Mortgage Hand In. If you hand it in by Friday I can get your mark back to you by Monday!
Tuesday March 15: we started with a little more time to work on the Lesson 1 and 2 Practice Sheet (here is the answer key). Then we did the Lesson 3: Lab Day Examples from page 6 of the Home Finance Notes Booklet together, using this online mortgage calculator. Then we had time to work on Assignment #3 in the Home Finance Assignments Booklet. Tomorrow, we'll do our first Home Finance mini-quiz and start working on our first hand in assignment for this unit.
Monday March 14: we went over question #1 in Assignment #2 in the Home Finance Assignments Booklet together, first on paper, then using an Excel spreadsheet so we could see what this payment schedule looked like all the way to the end of the mortgage. Then we had time to work on the Lesson 1 and 2 Practice Sheet. Omit question #9. Here is the answer key.
Friday March 11: we started Lesson 2 in the Home Finance Notes Booklet. Then we had time to work on the single question on Assignment 2 in the Home Finance Assignments Booklet. After that, we had the rest of the class to work on the Lesson 1 and 2 Practice Sheet. Omit question #9. For the questions that say "use the following amortization table" do your work on the page of blank amortization schedules that I handed out today. Here is the video of the lesson. On Monday we will do another example of mortgage amortization tables and then we'll learn how to use Microsoft Excel to make these tables.
Thursday March 10: we started with some time to work on Assignment 1 in the Home Finance Assignments Booklet. This gave the people who needed a little more time to finish yesterday's Polygon test some time to complete it. Then we went over the answers together and watched this video, then looked at this article. For anyone who missed the class, here is the video of me going thorough lesson 1.
POLYGON GEOMETRY TEST WEDNESDAY MARCH 9
Tuesday March 8: We watched this video. Today is the last day of Polygon Geometry before tomorrow's test. We went over some highlights in the notes, then had some time to finish up the Polygon Hand in assignment and prepare a study sheet for the test. I also handed out the Home Finance Notes Booklet, then we went through Lesson 1. Now you can do Assignment 1 in the Home Finance Assignments Booklet. For anyone who missed the class, here is the video of me going thorough lesson 1.
Monday March 7: we went over the booklet of old Provincial exam Geometry problems (the answer key is here in the e-file). Then we did another little mini-quiz. Then we finished with work time for the Polygon Hand in assignment. Reminder that we test this unit on Wednesday and you are allowed to bring in a study sheet (1 piece of notebook-sized paper) with anything you want on it. You don't have to worry about formulas on that page because I will give you this formula sheet on test day.
Friday March 4: we started by correcting the L4 Quadrilaterals worksheet on the last 2 pages of the Geometry booklet. Then we had work time for the Polygons assignments: a booklet of old Provincial exam Geometry problems (the answer key is here in the e-file) . We will go over them on Monday. If you are ready to move on, you can start working on the Polygon Hand in assignment which we will say is due by Wednesday of next week. For the last few minutes of class we played with polygon puzzles called tangrams at this webpage.
Thursday March 3: we started with a little mini-quiz, then we did the examples for the L4 Quadrilaterals notes, then had work time for the L4 Quadrilaterals worksheet on the last 2 pages of the Geometry booklet. Then I handed out a booklet of old Provincial exam Geometry problems (the answer key is here in the e-file).. You will get a whole work period on Friday.
Wednesday March 2: we started with a few minutes to finish up the Exterior Angle worksheet on page 7 of the Geometry booklet, then we corrected it together. Then we did the Lesson 4 notes together. New assignment is the L4 Quadrilaterals worksheet on the last 2 pages of the booklet. We still have some examples to do together tomorrow, so you will get some work time to finish it tomorrow.
Tuesday March 1: I gave the class a little more time to finish the Page 230 Handout assignment from yesterday. Then we went over it together (here is the answer key) and I went through lesson 3 in the Geometry booklet. I assigned the Exterior Angles Worksheet on page 7. You will get some work time for it tomorrow. If you are ready to move on, see if you can use the Properties of Quadrilaterals Sheet to fill in the chart on pages 8 and 9.
Monday February 28: went over the Assignment at the bottom of page 3 in the Geometry booklet today. Then I went through lesson 2 on pages 4 and 5. And just for fun, we played with an online Spirograph ( here is the link). Your assignment is the Page 230 Handout #1,2,4,5,6,7d and e, 8 b,c and d, and 9.
Friday February 25: I handed out a Polygons Notes booklet today. We did lesson 1: Regular Polygons on pages 2-3. Then we watched this video, then had time to work on the Assignment at the bottom of page 3. I also handed out a Properties of Quadrilaterals Sheet; if you are finished the page 3 questions, you can use the Properties sheet to fill in the chart on pages 8 and 9.
TRIGONOMETRY TEST THURSDAY FEB 24th
Tuesday February 22 and Wednesday February 23: Both days are work periods to finish up the problem solving worksheet that must be HANDED-IN before the end of the week and the two reviews I handed out on Friday: the Sine Law Quest worksheet (here is an answer key) and the Cosine Quest worksheet (here is the answer key).
Friday February 18: we went over the handout of old provincial exam problemstoday, then had work time for the problem solving worksheet that must be HANDED-IN next week. You have to solve (showing work) any 4 of the 7 problems in the hand in. If you are working fast enough to be finished that, you can start on the two worksheets that I handed out today, Sine Law Quest worksheet (here is an answer key) and a Cosine Quest worksheet (here is the answer key). These act as a nice review as we head into next week. We will test next Thursday.
Thursday February 17: today we moved on to trigonometry problems that involve context and situations, and you have to figure out for yourself if you use sine law or cosine law. Here is a handout of some old provincial exam problems (the answer key is the 2nd page of the file) that we will go over tomorrow. Then, if you have time, work on this problem solving worksheet. It will be a HAND-IN due next week. You have to solve (showing work) any 4 of the 7 problems in the hand in.
Wednesday February 16: we started with some work time for the Cosine Law Assignment worksheet and the Law of Cosines Worksheet (the answer keys are at the end of the files), while some people finished up the little quizzes that we did yesterday and Monday. You can expect another one of these little quizzes for cosine law tomorrow. Then we looked at a couple of examples where we use letters besides A, B, and C on the triangle and an example where we had to decided which to use, Sine Law or Cosine Law. After that, the rest of the class was more work time for the worksheets. I handed out this formula sheet for your notes - you will get the same one on our first test at the end of next week.
Tuesday February 15: Today we did our second hand-in assessment for marks, Sine Law quiz #2. Then we started into Lesson #4 on pages 7-8 in the Trigonometry Booklet: Cosine Law Pt 2. You can now do all of the Cosine Law Assignment worksheet (the answer key is at the end of the file link). If you finish that and you are ready to move on, the next assignment is the Law of Cosines Worksheet that I handed out today (the answer key is at the end of the file). Tomorrow will be a work period for this sheet.
Monday February 14: Today we did our first hand-in assessment for marks, Sine Law quiz #1. Then we started into Lesson #3 on pages 5-6 in the Trigonometry Booklet: Cosine Law Pt 1. Your assignment is to try #1,3,4,5 on this Cosine Law Assignment worksheet. The answer key is at the end of the file link. We'll learn how to use Cosine law to find angles in tomorrow's class.
Friday February 11: work time for #6-13,15,17,18 of the Law of Sines Worksheet. Before we got started, I gave a brief explanation as to why you can't really do #14 and #16 and why there are two sets of answers for #11 and #12 on the answer key. For this course, you only have to worry about the ACUTE answers (that's all that your calculator will give you anyway). When you finish that worksheet, I handed out a Sine Law Assignment worksheet that you can get started on. The link here has an answer key at the end of the file. If you can't finish that one in today's class, you can work on it over the next couple of days. On Monday we start working on a new formula.
Thursday Febraury 10: we went over a couple of problems from #1-5 and #25-28 of the Law of Sines Worksheet together. Then we went through lesson 2, page 4 of the Trigonometry Booklet: Using the Sine Law to find unknown angles in a non-right angled triangle. You can now do #6-13,15,17,18 of the Law of Sines Worksheet. I'll give you tomorrow as a work period.
Wednesday February 9: After going over one more SOHCAHTOA problem from the Right Angle Trig Review sheet together, we started the first grade 12 lesson on pages 2-3 of the Trigonometry Booklet: Using the Sine Law to find unknown sides in a non-right angled triangle. We also looked at how to use Sine to find the area of a triangle without needing to know it's height. Your assignment is this Law of Sines Worksheet. You can do #1-5 and #25-28. There is an answer key at the end of the file link in the previous sentence.
Tuesday Feb 8: we looked at some more review of how to do right-angled trigonometry, then had time to work on the Right Angle Trig Review sheet (Here is an answer key).
Monday Feb 7: Welcome to Semester 2: Grade 12 Essential Math. Today we went over a course outline, and started the course with a Right Angle Trig Review sheet (Here is an answer key). We'll work on it in class and finish it up tomorrow (don't forget to bring a scientific calculator). Then we will start our grade 12 trigonometry unit in this, Trigonometry Booklet.
SEMESTER 1:
SLOT 1A - MCI45S - INTRODUCTION TO CALCULUS
Thursday January 27 and Friday Jan 28: Optional re-testing. Attendance is optional too, but be warned, I still have to take attendance, so if you decided to not come to class, make sure it's cool with your parent/guardian who gets the phone call.
A few last bits of business to bring this semester to a close:
When I do your report card, I'll just use the same CUSR letters that you chose when we did the term 1 reports. If you want me to change any of them, I'll leave it to you to message me on Edsby. You have until the end of the day next Thursday, February 3. If you need a reminder of how the CUSR portion of your report card works, watch this video.
Deadlines are rapidly approaching for MATH CONTEST SIGN UPS . Stop by room 203 or message me if you have any interest in the Fermat, Hypatia, Euclid, or U of M Contests.
For all of the students in class who are signed up for Calculus AB next semester, but who AREN'T in MPC40SH this semester: Ms Laftery has updated her Calculus Weebly review materials at this link. She wanted me to tell you that the keyed notes that the students are accountable for are now there. She also included the textbook questions and solutions for the differentiability homework. This is the material that the MPC40SH students covered in the last week or so of classes. These lessons and the accompanying homework needs to be completed before the AB Calculus cours starts up on Feb 7th.
I am still waiting for a few people to catch up on the Unit D test during the assessment week, so I won't be handing them back until then. Your score will be on Edsby as soon as I can get it there, but if you want to have it back to keep, please come in and visit me sometime in the first week of semester 2. Along with your Unit D tests, if I still have any other of your tests that I wasn't able to hand back to you due to absence, I will hang on to them until a week or so into second semester. After that, they get recycled. The Optional re-tests don't get handed back, since we use the same ones from semester to semester, so keep your eye on Edsby for a message sometime next week saying how you did.
Have a great semester 2, everyone. It has been an honour to be the teacher who introduced you to calculus.
Wednesday January 26: today is a work period for students to get prepared for the Optional Re-Tests that they have signed up to do tomorrow and Friday. There is no new material being covered and if you chose to not re-test any of Units A, B or C, then attendance from today through Friday isn't particularly required. They'll still make me take attendance, so if you decide to give yourself a sleep in, or stay home to work on other courses, make sure you clear that with the parent/guardian who will get the attendance phone call. If you aren't doing any retests, but for some reason you have to be here, bring something to work on from your other courses.
Tuesday Jan 25: Part 2 of the UNIT D TEST. Reminder that today is the hard deadline for returning your sign up sheet for the Options Re-Test. Anyone stuck at home can message me their selections on Edsby. If I don't get your selections by the end of the day, I will assume that you do not wish to re-test any outcomes.
Monday Jan 24: Part 1 of the UNIT D TEST
Friday Jan 21: last new idea of the unit today, as we discussed odd and even functions. Then we looked at the last page of the Unit D - Curve Sketching Notes Booklet. Here is the video of the lesson (up to about the 7:00 mark of the video). You will get a copy of that page on Monday and Tuesday's tests. Then we had work time. The last assignment (which also acts as a review) is to do as many of the questions as you can in the 5.5 Assignment in the Chapter D - Curve Sketching Workbook. Today, I also handed out the sign up sheet for the Options Re-Test. You have to get it back to me by the end of the day on Tuesday. Anyone stuck at home can message me their selections on Edsby. If I don't get your selections by the end of the day on Tuesday, I will assume that you do not wish to re-test any outcomes.
Thursday Jan 20: today, we did the 8th lesson in the Unit D - Curve Sketching Notes Booklet, on Horizontal Asymptotes. Here is the video of the lesson. The assignment for this section is 5.2 #3,4 in the Chapter D - Curve Sketching Workbook. Tomorrow's lesson will be quite short, then you will have some work time.
Wednesday January 19: lesson 7 in unit D is Vertical Asymptotes on pages 20-21 of the Unit D - Curve Sketching Notes Booklet, which shouldn't feel like a brand new idea since you explored the concept in grade 11 - all we do it tie those grade 11 ideas to our Limits work that we did this semester. Here is the video of the lesson. The assignment for this section is 5.1 #1-3 in the Chapter D - Curve Sketching Workbook.
Tuesday January 18: work time for 5.4 #1-3 in the Chapter D - Curve Sketching Workbook.
Monday January 17: today's lesson (number 6 in unit D, if you are keeping score) is the Second Derivative Test on pages 18-19 in the Unit D - Curve Sketching Notes Booklet . This is a quicker way to find local max and min than the interval analysis that we learned earlier in this unit, but be warned, it does fail sometimes. Here is the video of the lesson. The assignment for this section is 5.4 #1-3 in the Chapter D - Curve Sketching Workbook. I'll give you a work period tomorrow. Students who are signed up for the CALCULUS(AB) course in Semester 2: I handed out a couple of booklets to you today: MPC40SH Calculus Notes and MPC40SH Calculus Exercises. The material in those booklets is being covered for 5 days (starting on Wednesday) in this semester's MPC40SH classes. If your credit in MPC40S is in the regular class, you will need to work on the material in these booklets. You can follow the order that they do things, and find links to lesson videos on Ms Laferty's Weebly.
Friday January 14: yet another example of Concavity and POI to help you get through the 5.3 assignment. Just one example today exploring the weird curve you get from y=x/(x^2+1). Here is the video of today's lesson, in case you need it. Again, I'm not assigning anything new. Use the weekend to finish 5.3 #1-3 or go back and conquer any lingering issues you may have had with 4.1 or 4.2.
Thursday January 13: more examples for Lesson 4 - Concavity and POI. Today we go backward a few pages in the Unit D - Curve Sketching Notes Booklet and cover the examples on the page with the title, "Concavity: More Examples", which we skipped over on Tuesday. Today's examples are cool - they all have a neat twist to them. Here is the video of the lesson in case you missed any of it. No new assignment - keep workin on the assignment from Tuesday.
Wednesday January 12: work period for section 5.3 (page 10) of the Chapter D - Curve Sketching Workbook #1-3. I won't add to this assignment until Monday, since we have a few more examples to cover tomorrow and Friday.
Tuesday January 11: look out! The Unit D - Curve Sketching Notes Booklet is in the wrong order here. Skip past the page with the title, "Concavity: More Examples" to the page that says, "Concavity and Points of Inflection." Oops! That's today's lesson where we'll see how to find the difference between concave up and concave down as well as how to find points of inflection on a curve. Here is the video of the lesson in case you miss any part of the class. The assignment for this section is 5.3 (page 10) of the Chapter D - Curve Sketching Workbook #1-3. Yes, we're skipping over 5.1 and 5.2 until next week. I'll give you tomorrow as a work period.
Monday January 10: Happy New Year! So we're back to online classes for this week. The link to the class meeting is in your Teams Calendar and should also be accessable via the inviation in your Pembina Trails email, or you can use this link. Today's plan is to ease our way back into things. We'll check that everyone's tech is working, do attendance, and then I'll go over a few questions from the 4.2 and 4.3 homework assignments in the Chapter D - Curve Sketching Workbook, to refesh our memories on where we are in the course. New lesson tomorrow. If you missed any part of the class, you can watch the recording here.
Tuesday Dec 21 and Wednesday Dec 22: work time for the 4.2 #1-7and 4.3 #1-4 assignments from the Chapter D - Curve Sketching Workbook. No new lesson. Have a safe and restful X-mas break, everyone.
Monday Dec 20: If you haven't seen it already, check out the Edsby message I posted on our class page over the weekend. Today's class will cover a couple of examples that aren't in the Unit D - Curve Sketching Notes Booklet. Here is a handout that we used in class. Not a new lesson, just a couple more examples of using the first derivative test to find extreme points on curves. Here is a video of today's examples. The assignment for this section is still 4.3 #1-4 of the Chapter D - Curve Sketching Workbook. It's a big assignment (and some people are still working on the 4.2 assignment as well), so I won't do new lessons tomorrow or Wednesday - just work time.
Make sure you can access your Microsoft Teams for this course. We may end up needing it after the break!
Friday Dec 17: we went through lesson 3: the First Derivative Test, covering pages 8-9 of the Unit D - Curve Sketching Notes Booklet. Here is a video of the lesson. The assignment for this section is 4.3 #1-4 of the Chapter D - Curve Sketching Workbook. This is a pretty big assignment - you are asked to sketch a lot of functions - so we'll give you some work time on Tuesday and Wednesday, after a couple more examples on Monday. THIS WEEKEND, CHECK TO SEE IF YOU CAN ACCESS YOUR TEAMS ACCOUNT. Just in case..
Thursday Dec 16: work period for the 4.1 and 4.2 assignments in the Chapter D - Curve Sketching Workbook. I did take a few minutes to go over an example (4.1 #4 g) where you have to use a common denominator to get the expression you are working with to a 'factored' form before doing your interval check.
Wednesday Dec 15: we did examples 2-3 on pages 6-7 of the Unit D - Curve Sketching Notes Booklet. Tomorrow you'll have time to work on the 4.1 and 4.2 assignments. Here is a video of the lesson. We'll give you tomorrow's class to work on the assignments as well.
Tuesday Dec 14: Unit D lesson 2 today: Maximum and Minimum Values, Fermat's Theorem, and Critical Values, which is pages 4-5 in the Unit D - Curve Sketching Notes Booklet. We'll need tomorrow's class to finish this lesson's last example, but if you are ready to move on, you can start work on 4.2 #1-7 in the Chapter D - Curve Sketching Workbook. We'll give you tomorrow as a work period after I finish the last example. Here is a video of today's lesson.
Monday Dec 13: we started by solving the Larry the Lifeguard problem, then we started Unit D today. Lesson 1 is Increasing and Decreasing Functions, pages 2-3 in the Unit D - Curve Sketching Notes Booklet. Here is the video of the lesson. Your assignment for this lesson is 4.1 #1-5 in the Unit D - Curve Sketching Workbook.
Thursday Dec 9: RELATED RATES AND ANTIDERIVATIVES QUIZ. Homework free long weekend! Woooo!
Wednesday Dec 8: review/ask questions class for related rates and antiderivatives. Quiz tomorrow.
Tuesday Dec 7: work time for #2-8 on the page with no number between the pages numbered 4 and 5 in the Unit C Assignment Book (the answers are on the very last page of the booklet). I'll also help you go through any of the Related Rates problems from the related rates worksheet that you might be having trouble with. If you want to try a challenging, next level related rate problem, try the Lifeguard Problem.
Monday Dec 6: we introduced the concept of the Antiderivative today, with the lesson on pages 29-32 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is a video of the lesson. If you want to play with the Desmos file I used in this lesson, you can download it here. The assignment for this lesson is #2-8 on the page with no number between the pages numbered 4 and 5 in the Unit C Assignment Book (the answers are on the very last page of the booklet). We'll give you tomorrow's class as a work period for this assignment.
Friday Dec 3: work period for the the related rates worksheet. The file link has full solutions at the end. If you finish those and want a few more to try, there are some on pages 12-13 of the Unit C Assignment Book. Specifically, you can try #5,6,8,9,10.
Thursday Dec 2: we went over an alternate strategy for example 4 from Tuesday. Then we went over Example 5. Here is a video of the lesson. You can now do all of the problems on the related rates worksheet. We'll give you tomorrow as a work period.
Wednesday Dec 1: Implicit Differentiation Quiz
Tuesday Nov 30: we went over a couple more examples of related rate problems (Examples 3 and 4 in the notes). Here is the video of the class (the video starts with a homework questions from the Implicit Differentiation Worksheet). You can now try #3,5,6,7,10,12,13,14,17,18,19 on the related rates worksheet (recall that yesterday's examples allow you to try #1,8,11,15,20).
Monday Nov 29: we started the lesson on Related Rates today, going through Examples 0,1, and 2 on pages 22-24 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is a video of the lesson. We will continue from there tomorrow. If you are done working on the Implicit Differentiation assignments and want to get started on the related rates worksheet, you can try #1,8,11,15,20. The answer key (and solutions) for the Related Rates worksheet is at the end of the file. If you are looking for more Implicit Differentiation practice to get ready for Wednesday's test, you can try pages 14-15 in the Unit C Assignment Book.
Thursday Nov 25: work time to finish 2.7 #1-7 in the Unit C Assignment Book and get started on the Implicit Differentiation Worksheet. Have a great weekend!
Wednesday Nov 24: more implicit differentiation examples today from pages 19-21 of the Unit C: Chain Rule and Implicit Differentiation Notebook. This lesson looked at some fun curves with weird equations and weirder graphs. Here is a video of the lesson. You can have another night to work on 2.7 #1-7 in the Unit C Assignment Book. I also handed out an Implicit Differentiation Worksheet for more practice if you are ready to move on. I'll give you class time tomorrow to work on that. Here is the Desmos file of the graphs if you want to play with them for yourself.
Tuesday Nov 23: today we finished up the Implicit Differentiation lesson with the second example from page 18 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is the video of the lesson. Here is the Desmos file I used in class, if you want to explore it for yourself. The assignment is 2.7 #1-7 in the Unit C Assignment Book.
CHAIN RULE (Ch 2.6) QUIZ MONDAY NOV 22
Friday Nov 19: today was the 2nd part of the Implicit Differentiation lesson, where we use chain rule and Leibniz logic to find the derivative of a curve where we don't (or can't) isolate the y variable. This covers pages 15-17 of the Unit C: Chain Rule and Implicit Differentiation Notebook. Here is the video of today's lesson. We'll finish the lesson off with one more example on Tuesday, but if you are all done the Chain Rule assignments and want to get started, the assignment will be 2.7 #1-7. We'll do an example like #7 next week. If you are finished the 2.6 and worksheet assignments from this week and want extra practice for Monday's quiz, you can try questions from pages 12-13 of the Unit C Assignment Book.
Thursday Nov 18: We started today's class by finishing the simplification of the last example from Tuesday's lesson. We'll give you a few days to keep working at the 2.6 #1-10,12 assignment in the Unit C Assignment Book and the Chain Rule Worksheet (the answer key is at the end of the file), before we quiz them on Monday. But between now and Monday we do have to move on, so today we did a lesson on pages 13-14 of the Unit C: Chain Rule and Implicit Differentiation Notebook. This lesson focuses on equations where the variable we're trying to find the rate of change of, isn't explicitly defined (it isn't isolated). No new homework for this concept yet, so you get one more night to finish 2.6 and the Chain Rule Worksheet . Here is the video of the lesson and here is the Desmos file I was using in the lesson.
Wednesday Nov 17: work/get help period for 2.6 #1-10,12 in the Unit C Assignment Book and the Chain Rule Worksheet (the answer key is at the end of the file). The quiz on Monday will be on this material. If you are looking for more practice, you can do extra practice questions from pages 12 and 13 of the homework booklet.
Tuesday Nov 16: today's lesson extends the Chain Rule to include the Product and Quotient Rules. After today's examples, you can now do 2.6 #6. Here is the video of the lesson if you missed any part of it or want to see these examples again. I handed out a Chain Rule Worksheet (the answer key is at the end of the file) for more practice. Tomorrow will be a work/ask questions period.
Monday Nov 15: we looked at chain rule again today, but this time we used the Leibniz Notation to go through the examples on pages 6-8 of the Unit C: Chain Rule and Implicit Differentiation Notebook. If you missed the class here is a video of the lesson (watch out for the error on example 3), but this video doesn't include the word problem at the end of today's class (or the warm-up I started with). You can now add the following 2.6 questions in the Unit C Assignment Book to yesterday's assignment: #2-5,12. I'll let you have tomorrow as a work catch up/ask questions day, then we'll get into more complicated chain rule questions on Wednesday.
Friday Nov 12: we went through lesson 2, Chain Rule in the Unit C: Chain Rule and Implicit Differentiation Notebook today. Here is the video in case you couldn't make it in due to the snow, or if you just want to see the examples again. Your new assignment from the Unit C Assignment Book is 2.6 page 1 #1,7-10.
Wednesday Nov 10: Test 5: Derivatives - covering 2.4,2.5, 2.8,3.1,3.2
Tuesday Nov 9: we started our next unit by handing out the Unit C: Chain Rule and Implicit Differentiation Notebook. We started Unit C, with a lesson on Composite Functions. Here is the video of the lesson if you missed it. Your assignment is #1-7 on page 9 of the Unit C Assignment Book.
Monday Nov 8: today was the last day for Unit B. We used the class to answer questions on anything from: 2.4, 2.5, 2.8, 3.1, and 3.2. If you are looking for more review to practice tonight and tomorrow, you can do some questions from page 29 #1,2 ,page 31 #1-4, page 33 #1,2, page 35 #9,12,17
Friday Nov 5: the band students were away, so we didn't do anything new. The non-band students used it as work time.
Thursday Nov 4: we finished up yesterday's lesson, then I went through 3.1 #7 with the class. If you missed it, here is the video. Then it was work and ask questions time. Tomorrow, the band students are away, so it will be work time. We'll have the second (and final Unit B test) on Wednesday.
Wednesday Nov 3: we did our last new lesson of the Derivatives unit, Velocity and Acceleration. Here is the video of the lesson if you missed it or wanted to see it again. The assignment for this section is 3.1 #1-9 and 3.2 #1,3(omit d),4,7,8. You will get time in class tomorrow to work or ask questions. The answer key in the booklet for 3.1 and 3.2 is incomplete, so here is a better scan.
Tuesday Nov 2: It's CUSR Day! (Watch this video if you missed the class). Today's lesson is on higher order derivatives. Here is the video if you missed the lesson or want to go through it again. Here is the DESMOS file I was using in class. The assignment for today's lesson is 2.8 #1 (a,b,c,d,f,h), 2(a,b), 3,6,8 and page 33 #1-3.
Monday Nov 1: we used today's class as a work/ask questions class for the 2.4 and 2.5 assignments.
Friday Oct 29: Test 4: Derivatives 2.1-2.3
Thursday Oct 28: we went through the last three Quotient rule examples. If you missed the class here is the video. The assignment for this section is 2.5 #1-3,5-7. Tomorrow is the 2.1-2.3 test, we'll use Monday as a work/ask questions class for the 2.4 and 2.5 assignments.
Wednesday Oct 27: we wrapped up yesterday's Product rule lesson - checking our work from yesterday with this Desmos file, then we did the first two examples for Lesson 6: Quotient Law. Here is the video of the lesson if you missed any of it and here is the Desmos file of the Quotient rule examples that I was using.
Tuesday Oct 26: we started the lesson on the Product Rule for derivatives. We got through the algebra of the examples today and we'll wrap up the discussion of what they mean (and look at their graphs on Desmos) tomorrow. The graphs are in this file, if you want to explore them for yourself. If you missed the class or want to see the examples again, here is the video. Your next assignment is from the Chapter 2 Derivatives homework booklet: a little more basic derivative practice 2.3 #1-3,6-10,12,13. If you are ready to move on to try practicing today's material, the product rule questions are 2.4 #1-6.
Monday Oct 25: today we looked at Differentiation, with examples of reminding us that we can determine whether or not a piecewise function is continuous and now, seeing if it is differentiable at a specific point. This covers pages 15-16 in the Unit B: Derivatives Notes Booklet. Not a long lesson (here is the video if you missed it) - and the only questions I am adding to the assignment from Thursday are 2.1 #3 and page 28 #29 in the Chapter 2 Derivatives homework booklet. If you are still working on the 2.2 assignment from Thursday, I just want to make sure that you realize that for this assignment you are using the basic derivative rules and NOT the first principles formula (unless the question specifically asks for it!)
Thursday Oct 21: we went over the Basic Derivatives rules lesson from pages 12-14 in the Unit B: Derivatives Notes Booklet today. This is a key class, so if you missed any of it (or want to watch it again) here is the video (today's lesson starts at around 4:40). The homework for this lesson is 2.2 #1-4,7-10,12 in the Chapter 2 Derivatives booklet. Have a great long weekend!
Wednesday Oct 20: Just a short lesson today on other notations (pages 9-11) in the Unit B: Derivatives Notes Booklet , then some time to work on the 2.1 #2,4-6,8-13,16 assignment in the Chapter 2 Derivatives homework booklet and the Graphs of Derivatives Worksheets (here is the answer key). Today's lesson takes us to the 4:40 mark of this video. If you are interested learning more of the history of the development of calculus and the feud between Lebniz and Sir Isaac Newton, check out this video.
Tuesday Oct 19: today's lesson is a continuation of yesterday's look at derivatives. Today we explore the relationship between the graph of a function and the graph of its derivative function. This covers pages 5-8 of the Unit B: Derivatives Notes Booklet. Here is my key for page 8 of examples in today's lesson (I already don't like my estimate for the first one - I made it too steep). You can now add 2.1 #2 and 13 to the assignment from yesterday, so you should now be doing all of 2.1 #2,4-6,8-13,16 in the Chapter 2 Derivatives homework booklet and you can do the Graphs of Derivatives Worksheets (here is the answer key). If you missed the lesson or want to see it again, here is the video.
Monday Oct 18: Today was the first lesson in our Unit B: Derivatives Notes Booklet, covering the definition of a DERIVATIVE. The first assignment is in the 2.1 section, page 2 #4-6,8,10,11 of the Chapter 2 Derivatives Homework booklet. Here is the video of today's lesson in case you missed it or want to see it again.
Friday Oct 15: 1.4, 1.6 Test. I handed out our Unit B: Derivatives Notes Booklet and our Unit B: Derivatives Workbook. We'll start those on Monday. Homework free weekend!!
Thursday Oct 14: today we're going over questions from 1.4 and 1.6 (and the page 24 and Limits to Infinity worksheet assignments) to prepare for tomorrow's test.
Wednesday Oct 13: today is a work period for Assignment 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet and the Limits to Infinity worksheet. Tomorrow we'll go over some 1.4 and 1.6 questions together to prepare for Friday's test.
Tuesday Oct 12: we finished off the Limits to infinity lesson from Thursday. You should now be ready to work on Assignment 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet and the Limits to Infinity worksheet. Tomorrow and Thursday will be work/ask questions classes and we will test 1.4 and 1.6 on Friday.
Thursday Oct 7: today's lesson is for Limits as x approaches infinity. We started with a little refresher on infinite geometric series and Zeno's paradox, then went into some examples. We'll finish them on Tuesday. If you are done the 1.4 and page 24 stuff and feel ready to start the next assignment, it is 1.6 #1-5,8 and the Limits to Infinity worksheet that I handed out today. Don't panic if you get stuck, the examples we'll do on Tuesday will probably clear up your confusion. Here is the video of today's lesson (it has Tuesday's examples, too if you want to see ahead). I hope everyone has a great long weekend!
Wednesday Oct 6: we did a small lesson where we go from Formula 2 to a general equation for the slope of a tangent for any specific curve. We also looked back at continuity a bit and worked through an example of a piecewise function without having a graph to look at. Here is the video for today's class (it starts with example 3). There is no new assignment for this lesson, so you have another night to work at the 1.4 assignment (in the pink Chapter 1: Limits and Rates of Changes booklet) #1,2,6-11 and, if you are looking for more practice, page 24 #3-6.
Tuesday Oct 5: we wrapped up yesterday's lesson by running the three examples we did yesterday through DESMOS. Then we went over the 1.1-1.2 and 1.3 quizzes. I wanted to point out some minor details that several people are doing wrong. Then we had work/ask questions time for the 1.4 assignment (in the pink Chapter 1: Limits and Rates of Changes booklet) where you can now do #1,2,6-11. If you are looking for more practice, you can do pink booklet page 24 #3-6.
Monday Oct 4: today is part 2 of the Chapter 1.4 lesson, where we introduce "Formula 2" for finding the slope of a tangent line using limits. This covers pages 34-37 in the Unit A: Limits Notes Package. Here is the video of the lesson. Your homework for this part of the lesson is Exercise 1.4 #1a(ii), #2a(ii), #8-11 (use Formula 2 for all of these). Tomorrow will be a work/help period for this (and Monday's) assignment. I'll add some optional questions from later in the booklet if people are done and want more practice.
Friday Oct 1: 1.3 Quiz today. Over the weekend you could keep working on Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7 from the pink Chapter 1: Limits and Rates of Changes booklet.
Wednesday Sept 29: 1.3 review day. We spent time going over some 1.3 assignment questions together to prepare for Friday's quiz. Reminder that back on Monday, we assigned Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7 from the pink Chapter 1: Limits and Rates of Changes booklet. You have until Monday to work on that.
Tuesday Sep 28: 1.1 and 1.2 quiz today.
Monday Sept 27: we started our two part lesson on the Equation of tangent lines with the lesson that derives and gives us examples of "Formula 1". This took us through pages 30-33 in the Unit A: Limits Notes Package. You'll be able to tackle all of the Exercise 1.4 assignment in the Chapter 1: Limits and Rates of Changes booklet after next Monday's part 2 of the lesson. But if you feel that you are well prepared for tomorrow's 1.1-1.2 quiz and want to get started on the new homework early, you can do Exercise 1.4 #1a(i),b,c, #2a(i),b,c, #6-7. Here is a link to the video of today's lesson.
Friday Sept 24: no new lesson today. We had work/ask questions time for the 1.3 assignment and pages 22 and 27.
Thursday Sept 23: Today's (still in section 1.3) lesson is Continuity. Here is the video of the lesson. Now you should be able to finish all of Exercise 1.3 #1-7,9 in the Chapter 1: Limits and Rates of Changes booklet. Tomorrow will be a work time/ask questions class. If you are ready to move ahead to more practice tonight, do page 21 #1,2 (use Desmos and/or Excel for those), Page 27 #2,3,9-11, 21. Reminder that next week's quiz will be on 1.1 and 1.2. We'll quiz 1.3 on Friday.
Wednesday Sept 22: Today we started by going over the "you try" questions on page 22 (here is the key). Then we did a lesson on one sided limits. Your homework for this lesson is Exercise 1.3 #1-7,9 in the Chapter 1: Limits and Rates of Changes booklet, but you don't have to start it today if you are still working on 1.2 and the Limit Practice handout (here is the answer key) assignments from yesterday. The 1.3 assignment is also for tomorrow's lesson. Here is the video of today's lesson.
Tuesday Sept 21: Today we go through more examples of using algebra methods to calculate limits, from pages 21-22 of the Unit A: Limits Notes Package. Here is the video of today's class. Your homework for this lesson is to continue to work on Exercise 1.2 #1-9,12 in the Chapter 1: Limits and Rates of Changes booklet as well as the Limit Practice handout that I handed out today (here is the answer key).
Monday Sept 20: Now we're rolling! Here is the answer key for the "Secant Example for You to Try " on page 15 of the Unit A: Limits Notes Package. Then we moved on to pages 16-20 examples of "Limit Laws" as we moved on to more algebraic ways to calculate limits. The next assignment will be Exercise 1.2 #1-9,12. You might not be ready for all of these problems until after tomorrow's examples, but see how many you can do tonight. Here is the video of today's lesson , in case you missed the class or want to review the examples.
Friday Sept 17: we finished example 3 of lesson 1 of the Unit A: Limits Notes Package. The Desmos file of this problem is here . All that I am adding to the homework is the "Secant Problem for You to Try" on page 15 of the Notes package. Here is my Desmos file of the problem. You already had #1-10 of the Chapter 1: Limits and Rates of Change Workbook. I spent time at the end of the class showing the steps on how to use Desmos to make graphs. If you missed the class or I went too fast, here is a video I made last year on how to make these graphs on Desmos for yourself. I also made this video of how to use Excel to to do the same calculations repeatedly, as an alternative to Desmos.
Thursday Sept 16: we finished example 1 and did example 2 in lesson 1 of the Unit A: Limits Notes Package. The Desmos files for these examples are here: Example 1 and Example 2. Feel free to try to get ahead of me and finish Example 3 for yourself (here is its Desmos file). You can now do Exercise 1.1 #1-10 in the Chapter 1: Limits and Rates of Change Workbook. Please use the Desmos technology to help you sketch graphs and do the tedious calculations, like repeatedly calculating slope (like in #7). Excel is also a nice way to save time on those repeated calculations. If you missed today's lesson, it's covered in the 2nd half (or so) of this video.
Wednesday Sept 15: we went over Example 5 on page 7 of the Grade 11 Review and Polynomial Division booklet. That brings the "review of grade 11 and 12" part of the course to a conclusion. If there are still things on the two worksheets from day 1 that have you confused, come and see me at a lunch hour or (if you are non-band) we can work on stuff in the 1B slot after class. Then we started into the lesson on page 9 of the Unit A: Limits Notes Package. If you missed the class, here is the video of today's lesson (we made it up to about the 14 minute mark today). We'll finish that lesson tomorrow. You can get started on the new assignment, which is Exercise 1.1 #1-6 in the Chapter 1: Limits and Rates of Change Workbook. The answer key starts on page 16.
Tuesday Sept 14: We went over the function notation review (here is the answer key) and used it to go over a bit of #11 and 12 on page 2 of the Grade 11 Review booklet. I'm not going to spend class time going over how to do #9 and 10 on page 1, so if you need help with those, come and see me on your own. After the function stuff, we started on this Introduction to Calculus notes page to introduce new ideas that will be important in calculus. If you missed today's class, here is a video of the lesson.
Monday Sept 13: I did another example of long division, then moved into synthetic division with the notes and examples on pages 2-6 of the Unit A: Limits Notes Package. Those pages also cover the factor theorem and the integral zero theorem, which will allow you to do everything in the Grade 11 Review and Polynomial Division (except #14 on page 2 - we're omitting that one). For the division practice on page 3, you can use either long division or synthetic - it's nice to be able to do both. Tonight, try to do the example on page 5 yourself and we'll start tomorrow's class by going over it. As for the rest of the worksheet, don't panic if you still need some help with #11 and 12 on page two. In tomorrow's lesson, we'll go over the function notation review will help with that. If you missed today's lesson, here is a video of the long division method, here is a video of the factor theorem, and here is the video of the integral zero theorem.
FRIDAY SEPT 10: we looked at some topics from the Grade 11 Review and Polynomial Division Booklet. The methods for solving question 6 was introduced today. It's the notes on page 8 of the Unit A: Limits Notes Package. Then we started learning how to divide polynomials. The division by factoring and cancelling method will allow you to do number 8 on page 1of the Grade 11 Review and Polynomial Division Booklet. For question 7 on page 1 and for most of the questions on page 3, you will use one of the other division methods. Today, I looked at long division. On Monday, I will go over the synthetic division method. Over the weekend, finish #1-6,8-10 on page 1 of the Grade 11 Review and Polynomial Division Booklet. You can try the questions on page 2, but omit #14. Don't start page 3 until after Monday's lesson. You can also try the function notation review this weekend. Also, watch this Professor Dave video introducing calculus.
THURSDAY SEPT 9: Welcome to Introduction to Calculus. Today we went over the course outline, but didn't get very far into anything mathematical just yet. We'll start our first proper lessons tomorrow and Monday. Until then, I have handed out the Grade 11 Review and Polynomial Division Booklet and a function notation review. You can get started on those tonight, but these will very likely have some questions that you won't know how to do until we start some lessons, so don't panic! OMIT #14 on the Grade 11 Review and Polynomial Division Booklet Of course, feel free to google things like "factor theorem" or "polynomial long division" or "factoring sum of cubes" and see if you can get ahead of me. I also handed out our Unit A: Limits Notes Package and the Chapter 1: Limits and Rates of Change Workbook but we won't start using them until next week.
SLOTS 2 and 6 - MPC30S - GR 11 Pre-CALCULUS MATH (Honours)
EXAM REVIEW can be found HERE
(ANSWER KEYS HERE: Part 1, Part 2, Part 3) - watch for typos on: Ch 3 #5d (it factors to 1/4(x+8)^2+4, they factored out the 1/4 incorrectly), Ch 9 #7, Ch 2 #6 (wrong answer circled)
(ANSWER KEYS HERE: Part 1, Part 2, Part 3) - watch for typos on: Ch 3 #5d (it factors to 1/4(x+8)^2+4, they factored out the 1/4 incorrectly), Ch 9 #7, Ch 2 #6 (wrong answer circled)
Friday Jan 28: Optional re-testing. Attendance is optional, but be warned, I still have to take attendance, so if you decided to not come to class, make sure it's cool with your parent/guardian who gets the phone call.
A few last bits of business to bring this semester to a close:
First, PLEASE bring back your textbooks so I don't have to phone home looking for them.
Second, when I do your report card, I'll just use the same CUSR letters that you chose when we did the term 1 reports. If you want me to change any of them, I'll leave it to you to message me on Edsby. You have until the end of the day next Thursday, February 3. If you need a reminder of how the CUSR portion of your report card works, watch this video.
Deadlines are rapidly approaching for MATH CONTEST SIGN UPS . Stop by room 203 or message me if you have any interest in the Fermat, Hypatia, or Euclid Contests.
If I still have one (or more) of your last tests that I wasn't able to hand back to you due to absence, I will hang on to it until a week or so into second semester. After that, they get recycled. The Optional re-tests don't get handed back, since we use the same ones from semester to semester, so keep your eye on Edsby for a message sometime next week saying how you did.
Have a great semester 2, everyone. It has been an honour to be your Grade 11 Pre-Calculus teacher.
Wednesday Jan 26 and Thursday Jan 27: I will let you have work time to either finish up the Grade 11 Review and Polynomial Division Booklet (to prepare for next semester) or work on review to prepare for whatever retests you have chosen. There is no new material being covered for the rest of this week and if you chose to not re-test any outcomes on Friday, then attendance from Wednesday through Friday isn't particularly required. I NEED YOUR TEXTBOOK, PLEASE TURN IT IN BY THE END OF THE WEEK. They'll still make me take attendance, so if you decide to go home to work on other courses, make sure you clear that with the parent/guardian who will get the attendance phone call. If you aren't doing any retests, but for some reason you have to be here, bring something to work on from your other courses.
One more thing that you could be doing to prepare for semester 2 is to get more familiar with using DESMOS. If you joined my Desmos class, like I asked you to back on January 10, you'll see a couple of quadratics activities on your profile that I have "assigned". They are for practice and fun only - not for marks.
Wednesday Jan 26 and Thursday Jan 27: I will let you have work time to either finish up the Grade 11 Review and Polynomial Division Booklet (to prepare for next semester) or work on review to prepare for whatever retests you have chosen. There is no new material being covered for the rest of this week and if you chose to not re-test any outcomes on Friday, then attendance from Wednesday through Friday isn't particularly required. I NEED YOUR TEXTBOOK, PLEASE TURN IT IN BY THE END OF THE WEEK. They'll still make me take attendance, so if you decide to go home to work on other courses, make sure you clear that with the parent/guardian who will get the attendance phone call. If you aren't doing any retests, but for some reason you have to be here, bring something to work on from your other courses.
One more thing that you could be doing to prepare for semester 2 is to get more familiar with using DESMOS. If you joined my Desmos class, like I asked you to back on January 10, you'll see a couple of quadratics activities on your profile that I have "assigned". They are for practice and fun only - not for marks.
Tuesday Jan 25: Reminder that today is the hard deadline for returning your Selection Sheet for Friday's Options Re-Test. We looked at a quick review of infinte geometric sequences (from R10, Chapter 1), since that will be a topic that comes up in our first unit of the Intro Calculus course next semester. We used this idea to look at a very interesting math controversy that's been around since about WW1. That's as nice a way to finish up the course as I can think of! If you want to explore this topic in more detail, check out this Numberphile Video and this Numberphile video. And here is a magazine article just published yesterday (coincidence!) that looks at why infinte series are so important to the sciences. There is lots of other videos and discussions about this idea online, so have fun with this rabbit hole.
Monday Jan 24: We went over the function notation review, then had some time to work on it or finish the Grade 11 Review and Polynomial Division Booklet. Here is the answer key for the function notation handout. Reminder that I need your Selection Sheet for Friday's Options Re-Test back to me tomorrow, before the end of the day.
Friday Jan 21: we finished the last few examples in the Factor Theorem lesson booklet, then we had time to work on #1-12 on pages 1 and 2 of the Grade 11 Review and Polynomial Division Booklet. After that, do as much of the division on page 3 as you can stand. Reminder that I need your Selection Sheet for next week's Options Re-Test back to me before the end of the day on Tuesday.
Thursday Jan 20: More examples of long division, as well as demonstrating synthetic division . We also went through the examples and discussed the ideas in the Factor Theorem lesson. Here is a link to the video recording of today's lesson. Tomorrow will be work time for the Grade 11 Review and Polynomial Division Booklet. I handed out the Selection Sheet for next week's Options Re-Test. I need you to get it back to me before the end of the day on Tuesday. Anyone stuck at home can message me their selections on Edsby. If I don't get your selections by the end of the day on Tuesday, I will assume that you do not wish to re-test any outcomes.
Wednesday January 19: Today we start in on some skills that the MPC40S course will cover, but you will need them for next semester's MCI45SH (Introduction to Calculus) Course. I handed out the Grade 11 Review and Polynomial Division Booklet, as well as a Factor Theorem lesson, and a list of synthetic division steps. Then we started learning how to divide polynomials. The division by factoring and cancelling method will allow you to do number 8 on page 1 of the Grade 11 Review and Polynomial Division Booklet. For question 7 on page 1 and for most of the questions on page 3, you will use either polynomial long division or synthetic division. Here is a recording of today's lesson.
Tuesday January 18: CHAPTER 8 & 9 TEST
Monday January 17: After checking to see if anyone had problems with the Reviews from Friday, we did a Chapter 8 enrichment lesson on Systems of Linear Inequalities and Linear Programming. Here is the video of the lesson. We test Chapters 8 and 9 tomorrow.
Friday January 14th: work period for the Chapters 8 and 9 Review (R6,R7,R8) for Tuesday's test. The R6 Review is pages 12-15 in the Chapter 8: Systems of Equations booklet and the R7, R8 Review is pages 19-26 of the Chapter 9:Linear and Quadratic Inequalities booklet (note that the last answer of the review, #5, got cut off on the last page. It should be x > 2.84 ft. If you are looking for more practice, the textbook reviews R6 on pages 457-460 and R7,R8 has review questions on pages 501-505.
Thursday January 13th: we'll spend some time going over a few questions from the Chapter 9:Linear and Quadratic Inequalities booklet and the page 496 textbook assignment. Then we tackled a couple of interesting challenge problems. Tomorrow you can work on the review pages at the end of the Chapter 8: Systems of Equations booklet and the Chapter 9:Linear and Quadratic Inequalities booklet. We'll test on Tuesday.
Wednesday January 12: work time for pages 14-18 of the Chapter 9:Linear and Quadratic Inequalities booklet (here is a key for page 18) and textbook assignment, page 496 #1,3,6,7,9,14,17. No video for today's class.
Tuesday January 11: we went through Example 7 on page 11, then did the 9.3 Lesson in the Chapter 9:Linear and Quadratic Inequalities booklet. Here is the video of the lesson if you missed any of it. You can now do pages 14-18 of the booklet (here is a key for page 18). If you finish those you can start on the textbook assignment, page 496 #1,3,6,7,9,14,17. Tomorrow will be a work period for these assignments.
Monday January 10: Happy New Year! So we're back to online classes for this week. The link to the class meeting is in your Teams Calendar and should also be accessable via the inviation in your Pembina Trails email, or Slot 2 students can use this link and Slot 6 students can use this link. Today's plan is to ease our way back into things. We'll check that everyone's tech is working, do attendance, and then I'll go over a few questions from the 9.1 and 9.2 homework in the Chapter 9:Linear and Quadratic Inequalities booklet, to refesh our memories on where we are in the course. New lesson tomorrow. If you missed any part of today's class you can watch the recording here.
SLOT 2 STUDENTS: When you have a minute, go to this Desmos page to join our Desmos class.
SLOT 6 STUDENTS: When you have a minute, go to this Desmos page to join our Desmos class.
Wednesday Dec 22: work time for the assignments from yesterday. No new lesson. Have a safe and restful X-mas break, everyone.
Tuesday Dec 21: we we started the Chapter 9:Linear and Quadratic Inequalities booklet, going through lessons 9.1 and 9.2 up to page 10. Here is the video for 9.1 and here is the video for 9.2. Your homework for the break is:
From the Chapter 8: Systems of Equations booklet: pages 8-9 (here is a key), pages 10-15 (they have their own keys). If you want more practice, there is a textbook assignment listed at the bottom of page 9 that is optional.
From the Chapter 9:Linear and Quadratic Inequalities booklet: If you feel you need more practice on the linear stuff, you can try some of the textbook assignment on the bottom of page 6. Then do Example 7 on page 11 (here is a key), Then try as much of the textbook assignment from the bottom of page 11 as you deem necessary to master this stuff (#9 is the key question - make sure you can do those).
From the Chapter 9:Linear and Quadratic Inequalities booklet: If you feel you need more practice on the linear stuff, you can try some of the textbook assignment on the bottom of page 6. Then do Example 7 on page 11 (here is a key), Then try as much of the textbook assignment from the bottom of page 11 as you deem necessary to master this stuff (#9 is the key question - make sure you can do those).
Monday Dec 20: If you haven't seen it already, check out the Edsby message I posted on our class page over the weekend. Today we started Chapter 8: Systems of Equations booklet, working through pages 1-7. Here is the video if you missed any part of the lesson. Your homework tonight is pages 8-9 (here is a key) . The textbook assignment listed at the bottom of page 9 of the notes is optional - try some of it if you feel you need more practice.
Make sure you can access your Microsoft Teams for this course. We may end up needing it after the break! We still have classes in-person and I still have to do in-person attendance until they tell us otherwise.
Friday Dec 17: CHAPTER 7 TEST: ABSOLUTE VALUE AND RECIPROCAL FUNCTIONS. THIS WEEKEND, CHECK TO SEE IF YOU CAN ACCESS YOUR TEAMS ACCOUNT. Just in case..
Thursday Dec 16: we did a quick couple of practice mini-quizzes on absolute value graphs and reciprocal graphs (I didn't realize until this morning, that these are the same as pages 33-36 in the booklet - oops!), then we had time to work on the review, pages 30-36 in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet to get ready for tomorrow's test. Here is the key for Page 30 - the rest are in the booklet.
Wednesday Dec 15: we looked at the graphs of the challenge questions from yesterday, then we had time to work on textbook page 403 #1-10,15,17,18,19. If you are finished those, you can start on the review, pages 30-36 in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet. Here is the key for Page 30 - the rest are in the booklet.
Tuesday Dec 14: we went through the rest of the 7.4 Lesson (pages 28-29) in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet, which focused on reciprocals of quadratic functions. I left you with a couple of challenge questions that we will tackle tomorrow. Here is the video of the lesson. The assignment for this lesson is textbook page 403 #1-10,15,17,18,19, you 'll get some work time tomorrow.
Monday Dec 13: we did the first part of the 7.4 Lesson (pages 23-27) in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet. No new assignment for this section yet, but today's homework is 18-22 (here is the answer key) in the notes booklet, reviewing lessons 7.1-7.3. Here is the video of the lesson.
Thursday Dec 9: work time for the pages 375 and 389 assignments from Tuesday and yesterday. If you finish those and want to get ahead on the assignment for Monday, it will be pages 18-22 in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet. Here is the answer key.
Wednesday Dec 8: we went through Lesson 7.3, pages 13-17 in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet. The assignment for this section is textbook page 389 #1-6,15,19,20,22,23. We'll give you work time tomorrow. If you are finding this stuff easy, try this challenge problem.
Tuesday Dec 7: we went through Lesson 7.2, pages 10-12 in the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet. The assignment for this section is textbook page 375 #1-13,16,18. The video of this lesson is here.
Monday Dec 6: CHAPTER 5 RADICALS TEST. If students finish early, they can work on the "you try" questions on pages 4-8 of the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet (here is the answer key). We will correct them tomorrow.
Friday Dec 3: I handed out the Chapter 7 Absolute Value and Reciprocal Functions Notes Booklet and we went through pages 3-8, leaving the "you try" questions for you to do before we resume Chapter 7 again on Tuesday (here is the answer key). If you noticed that you made mistakes on pages 3-4 when we did them in class, you should try some the of the textbook questions listed at the bottom of that page. Click here for a video of the lesson part of the class if you missed it. After the lesson we discussed a few of the Radical Challenge Problems together. Be skeptical of the mystical nonsense attributed to phi. Phi is cool, but here is a rational look at it's actual significance.
Thursday Dec 2: We started by correcting pages 19-20 of the Chapter 5 Radicals Notes booklet, then it was a review day for Chapter 5. Pages 22-27 of the booklet are all review and if you are looking for more practice (and you already worked through the previous textbook assignments), you can try the textbook review and practice test on pages 304-307. I'll give you more work time tomorrow after we explore a couple of the challenge problems together.
Wednesday Dec 1: we corrected the "you try" questions on pages 15-17 of the Chapter 5 Radicals Notes booklet, then we did the 5.3 Lesson on Solving Radical Equations, which will take us from pages 18-20. If anyone misses the class, here is a video of the lesson. Your assignment is the bottom of page 19, then pages 20-21. We'll correct 19 and 20 tomorrow and page 21 has its own key. For more practice, do the textbook questions listed at the bottom of page 20.
Tuesday Nov 30: today we covered Lesson 5.2 (B): Dividing Radicals and Rationalizing Denominators, pages 13-14 in the Chapter 5 Radicals Notes booklet. Your assignment for this section is the "you try" questions on pages 15-17. We will go over them at the start of tomorrow's class. For more practice when you are done those, see textbook page 289 #6-11,13, 14, 17, 20,23, 26. If you missed today's class, or want to see examples again, today's lesson starts at the 32:25 mark of this video. Finding this unit easy? Then try this page of Radical Challenge Problems. We'll go over a few of these on Friday.
Monday Nov 29: after a little work time, we started by correcting the "you try" pages 9 and 12 in the Chapter 5 Radicals Notes booklet. Then we had more work time for either page 278 #1-4,6,11,14, and 20, or page 278 #5, 8-10,15, 17, 21-23 or page 289 #1-5, 22. If you are finished with the radical stuff, you can work on the Ch 6 Enrichment formula manipulation worksheet I handed out after the test last Thursday.
Thursday Nov 25: CHAPTER 6 TEST (A4, A5, A6). Students who finished early could work on the assignments from Tuesday and Wednesday OR I handed out a worksheet to people who finished with a Chapter 6 topic that used to be in the course, but isn't focused on these days. See if you can get them all! If you finish the radical assignments on Monday, you can work on it some more then. Have a great weekend!
Wednesday Nov 24: we started class by correcting page 7 from the Chapter 5 Radicals Notes booklet, then we did the 5.1(B) and 5.2(A) Lessons, covering pages 8-11 in the booklet. You can now do the "you try" pages 9 and 12 in the notes booklet, then for more practice, you can try textbook page 278 #5, 8-10,15, 17, 21-23 and page 289 #1-5, 22. We'll correct the "you try" pages together on Monday, then we'll have the rest of that class as work time for the textbook assignments from today and yesterday. If you missed today's class, or want to see examples again, today's lesson goes up to the 32:25 mark of this video.
Tuesday Nov 23: We started Chapter 5: Radicals today, by going through pages 2-6 of the new Chapter 5 Radicals Notes booklet. Here is a video of the lesson if you missed it. Your assignment is to do the "You try" questions on page 7 of the booklet. If you want more practice, you can start working on textbook page 278 #1-4,6,11,14, and 20. I also handed out a completely optional Chapter 6 Word Problem Practice Sheet for anyone who might want a little more practice before Thursday's test. If you did the page 349 assignment and feel confident, you can ignore it.
CHAPTER 4 TEST (R1 and R5) - WEDNESDAY NOV 10
Monday Nov 22: today's class doesn't really have a new lesson. We just did the word problem examples on pages 28-29 of the Chapter 6 - Part B Booklet. If you missed today's class, I have this video where I go over the problems in the first 30 minutes here. The rest of the class was work time for the assignment from Friday: notes packages pages 24 and 27, and today's assignment: textbook page 349 #5,9,10,12-15. The test for this unit will be Thursday, so if you finish the above homework and want to start reviewing, I handed out a practice quiz for A4 and A5 , a A6 Practice Quiz, and an A4,5,6 Review to help you get ready. Answer keys for these reviews are at the end of the file links.
Friday Nov 19: today's lesson is section 6.4: Parts 1 and 2 (pages 21-23, and 25-26) in the Chapter 6 - Part B Booklet. There are two pages of practice for this section in the notes package: pages 24 and 27 to do for homework, and if you want more practice, there are the textbook questions listed at the bottom of page 27. If you missed this class or want to see the examples again, you can watch this video.
Thursday Nov 18: today's lesson is section 6.3: Part 2 (pages 15-18) in the Chapter 6 - Part B Booklet. There are two pages of practice for this section in the notes package: 19-20 and if you want more practice, there are the textbook questions listed at the bottom of page 18. If you missed this class or want to see the examples again, you can watch this video.
Wednesday Nov 17: several slot 2 students missed most or all of the class to write the Waterloo math contest, so I let both slots have a work catch up day. If you need more practice than pages 8, 11, 15, and 19 of the booklets, you can work on textbook questions from any one of those pages - pick on whichever section you feel you need the most practice.
Tuesday Nov 16: today's lesson is section 6.3: Part 1 (pages 16-18) in the Chapter 6 - Part B Booklet. The assignment for this section is page 14 in the notes booklet. There's only 4 questions to practice on that page, so also do textbook page 336 #4a,b, 5, 10a, 11,12 Tomorrow's class will not have a new lesson. It will be a work/ask questions period. If you missed this class or want to see the examples again, you can watch this video.
Monday Nov 15: Back when you were in grade 8 (assuming you were here in Western Canada), were you one of those students who got to the multiplying fractions lessons and thought, "this is so much easier than the adding and subtracting we learned in grade 7! Why didn't we do this first?!" Here at FRC, we hear you; today we do lesson 6.2 in the Chapter 6 - Part B Booklet, where we will learn to multiply and divide algebraic rational expressions BEFORE we talk about addition and subtraction.
If you missed today's lesson or want to see the examples again, here is a 6.2 video that Mr Lacko made. The assignment for this section is page 15 of the booklet. If you want more practice, try some of the textbook assignment from the bottom of the page.
Friday Nov 12: I handed out our Rational Expressions and Equations notes packages: Chapter 6 - Part A and Chapter 6 - Part B. Our lesson today is the 6.1 lesson on pages 7-10 (there are no pages numbered 1-6) of Booklet A on simplification and finding non-permissible values of rational expressions. I can imagine that a few students might not be able to make it in today due to the snow, so I will record the lesson. Here is the video of the lesson. If you are working through any of the lessons for this unit on your own, you can download the key for all of the examples in both booklets here. The assignments for this lesson are the #1-7 practice questions on page 8 and the #1-9 Practice questions on page 11 of the booklet. The textbook questions listed at the bottom of page 11 are optional - if you feel that you need more practice, give them a try. The answer keys for these are at the back of the Part B booklet.
Tuesday Nov 9: review/ask questions day. If you need more review problems to work on you can do the review and self test on pages 258-262. If you specifically want factoring practice, remember that I handed out an Extra Factoring Practice sheet last week. Also make sure you try the problems on pages 14-18 of the notes booklet. Here is an answer key and here is the video of me making the answer key (explaining as I go), in case you need some hints on how I got the equations (here is the key for the two part c questions in #2 that aren't in the video).
Monday Nov 8: after we finished up the last example on page 11, today's lesson explores some of the cool features of our new toy, the quadratic formula. This takes us through pages 12 and 13 of the Chapter 4 - Quadratic Equations Notes booklet. Here is the video of the lesson. The textbook assignment for this section is Page 254 #1-8, #9-12,14,15, #17-19, 22. You should also do the problems on pages 14-18 of the notes booklet. We won't go over them in class, but here is an answer key and here is the video of me making the answer key (explaining as I go), in case you need some hints on how I got the equations (here is the key for the two part c questions in #2 that aren't in the video). Tomorrow will be a work/review/ask questions class.
Friday Nov 5: for section 4.4, we derived the quadratic equation and filled in pages 10-11 of the Chapter 4 - Quadratic Equations Notes booklet. Here is the video of the lesson. We'll do more examples on Monday, so until then, keep working on page 241 #6,7,10,12 and the R5 Applications Booklet.
Thursday Nov 4: today's lesson is a bit of a chapter 3 review, as we use completing the square to solve quadratic equations. Our lesson was examples 1-4 from textbook pages 236-239. If you missed the class or want to review these examples, the video is here. The assignment for this section is page 241 #6,7,10,12. The first 4 minutes of this Veritasium video has a brilliant visualization explaining why we call it "completing the square" (and if you want to learn where imaginary numbers come from, watch the rest of the video). If you finished page 229 #1-8 and you still want more factoring practice, I handed out this (optional!) Extra Factoring Practice sheet.
Wednesday Nov 3: work time for page 229 #1-12, 16-18, 20,21,23,24,29(use a calculator for that one). I also handed out an R5 Applications Booklet that you can work on over the rest of the week. There is a typo on #3, the equation should be h(t)=-16t^2+16t+480. There is another typo on #7: the 64t term should NOT have a ^2 on it.
Tuesday Nov 2: It's CUSR Day! (Watch this video if you missed the class). We went over a couple of questions from yesterday's 4.1 assignment, then we did the rest of the 4.2 examples from pages 7-8 in our Chapter 4 - Quadratic Equations Notes booklet. The video for these examples is here. The assignment for this section is page 229 #1-12, 16-18, 20,21,23,24,29(use a calculator for that one). Tomorrow, you will get a work period.
Monday Nov 1: we did some more examples from the textbook together, then we had time to work on page 215 #4-8,12,13. No calculator for #4, but after that, use either a graphing calculator or Desmos to graph your equations. Here is a video of the examples in case you missed class or need to see them again.
Friday Oct 29: Chapter 3 Test - R3/R4
Thursday Oct 28: I handed out our Chapter 4 - Quadratic Equations Notes booklet and we started the chapter by reviewing and expanding our grade 10 factoring skills. This got us through pages #1-6 of the booklet. Then we spent a few minutes looking at how to graph quadratics using DESMOS and a TI graphing calculator. Here is the video for the factoring part of the lesson. Here is the video for the 4.1 graphing technology part of the lesson. No homework for this section yet, we'll do a few examples from the textbook on Monday, then we'll assign some problems from Chapter 4.1 and 4.2. If you are bored this weekend and stuck at home handing out the candy on Halloween night, you can work ahead on page 229 #1-10, but I won't officially assign these until Tuesday.
Wednesday Oct 27: Mostly a work/ask questions class today. To help get ready for Friday's test, there is an "In Class Review" at the end of the Chapter 3 Quadratics notes package. There is a typo on #4, it should read "change to VERTEX form". Here are answer keys for them. If you are looking for more practice there is a review and a practice test in the textbook at the end of the chapter (you can skip the word problems - they'll be on the next test - after we finish chapter 4). If you have access to a graphing calculator or you want to use a screen bigger than your smartphone and have access to a tablet or a laptop, you can bring it to class tomorrow and Monday.
Tuesday Oct 26: we went through lesson 3.3, pages 23-25 of the Chapter 3 Quadratics notes package. The lesson is an algebra technique called "completing the square". It's our next step on the path towards being able to solve (and graph) any solvable quadratic equation, whether it's factorable or not. Your assignment for this section is to finish the "you try questions" on pages 26-27 of the notes package. Here is the key for them. Then do textbook page 192 #1-12,16,20.
Monday Oct 25: today we started with a handed out a 3.1-3.2 Practice Quiz. There is a typo on the last page: change -5 to +5, or you can't factor it. When sketching the second last one, use a y-axis scale where you count by 2s to fit on the grid better. Here is the answer key. After the mini quiz, we took us some homework questions from pages 157 and 174. Then we ended the class with some more grade 10 factoring review - specifically focusing on perfect square trinomials. I don't have a video for this review lesson, but if you missed class or need more examples, check out this grade 10 lesson video.
Thursday Oct 21: we went over some questions from textbook page 157, then we did lesson 3.2, pages 18-21 of the Chapter 3 Quadratics notes package. If you missed the class or want to review the lesson again, here is the video. Your new assignment is textbook page 174 #1-4,6-10,14,19,21-23. Have a great long weekend!
Wednesday Oct 20: the finished up the last few examples from lesson 3.1b on pages 16-17 of the Chapter 3 Quadratics notes package, then we had work time for textbook page 157 #1,2,4,5a,6-10,15,18.
Tuesday Oct 19: Today we finished the 3.1A and did most of the 3.1b lessons in the Chapter 3 Quadratics notes package. This takes us up to the middle of page 16 (Example 5a). We'll finish the last three examples on pages 15-16 tomorrow, but you can start the textbook assignment tonight. It is textbook page 157 #1,2,4,5a,6-10,15,18. This is a pretty large assignment, so we'll have work time tomorrow. Bring some graph paper for your sketching questions. If you are looking for videos, the end of this video from Friday gets you to the end of page 10. Then this video gets you to the end of page 16.
Monday Oct 18: T3 (2.3 Sine law and 2.4 Cosine law) Test Today
Friday Oct 15: we started off with the T3 Mini Quiz. Then we did the first couple of pages of the 3.1A Lesson in the Chapter 3 Quadratics notes package. Here is the video of the lesson, in case you missed it or want to see it again (AM class we made it to about the 14:30 mark. PM class we made it to the 18:00 mark. No new assignment yet, so you can spend the weekend making sure you are ready for the T3 test and you have finished up the 2.3 and 2.4 assignments. If you want to see one more nice explanation of the ambiguous case, here is a nice video.
Thursday Oct 14: we went over a few questions in the 2.3 and 2.4 homework, then I handed out your new Chapter 3 Quadratics notes package. We went through pages 1-3 as a quick review of concepts from grade 10 that you need to be familiar with as we go forward. I don't have a video for this part of the booklet, so if you missed the class and those pages don't look familiar, or you need further explanation, please see me.
Wednesday Oct 13: Test #2: T1 and T2. This test is meant to be shorter than a full period, so when you are finished you can work on the 2.3 and 2.4 assignments (see yesterday) and the the Bearing Problem practice sheet.
Tuesday Oct 12: we went over the last three examples in the 2.4 Cosine Law lesson on pages 25-26 of the Chapter 2: Trigonometry Notebook. Then we did a bearing/heading problem on page 121 #14. Then I handed out this practice sheet for those kinds of questions (Bearning Problems) since there will be one on next week's T3 test. After that it was work time. To make your life a little easier, here are the 2.3 and 2.4 assignment questions combined into one place: page 108 #1-13, 15,17,18,20,23 and page 119 #1-7,10,12,17,23,24,26,29. T1 and T2 Test tomorrow.
Thursday Oct 7: yesterday's 2.2 Practice quiz was so much fun that I decided we should try another one that focusses more on the unit circle. So here is the 2.2B Practice Quiz that we did together. Then we did the notes and examples for lesson 2.4: Cosine Law, on page 24 of the Chapter 2: Trigonometry Notebook. I'll leave the last three examples on pages 25-26 for you to try for yourselves (example 23 has a typo, the bottom line should be 75 units) and we'll go over them on Tuesday. The assignment for that section is textbook page 119 #1 - 6,7, 10, 12, 17,23, 24, 26, 29. If you missed yesterday's formula derivation or today's class examples, here is a video of the lesson. Don't forget, you are testing 2.1 and 2.2 next week, so this long weekend might be a great time to make sure you have that material mastered. I hope everyone has a great long weekend!
Wednesday Oct 6: we finished up the ambiguous case example on page 23 of the Chapter 2: Trigonometry Notebook. Then we did the 2.2 Practice Quiz from the booklet that I handed out at the start of the unit. Then we derived the formula for the cosine law. If you missed today's class, it will be part of the video on tomorrow's update. Finally, we had work time for the 2.3 assignment, which now includes the assignment from Monday and page 108 #6-9,11,17,23. I handed out some Blank Unit Circles so you can get practiced up for next week's T1-T2 (Chapters 2.1 and 2.2) test (which I moved to Wednesday.
Tuesday Oct 5: we used today's class to do an enrichment activity to help us build some understanding of the lesson we'll do tomorrow: the Congruent Triangle Activity. I don't have a video for this activity, but if you missed class and want to try it for yourself, you can work your way through this power point that goes step by step on drawing the triangles. Then we started the Lesson 2.3B notes on pages 21-22 of the the Chapter 2: Trigonometry Notebook. If you missed the class, the notes got us to the 11:25 mark of this video. No new assignment yet - keep working on the assignment from yesterday.
Monday Oct 4: today we did a 2.1.1 practice quiz (key attached). Then we went over some 2.2 homework questions from the page 96 assignment. We'll do the 2.2 Mini Quiz on Wednesday. Finally, we did the notes on Lesson 2.3A, pages 19-20 in the Chapter 2: Trigonometry Notebook. The assignment for this section is textbook page 108 #1-5, 10, 12, 13, 15,18, 20. If you missed today's lesson or want to see it again, here is a video. PLEASE BRING A PROTRACTOR TO TOMORROW'S CLASS.
Friday Oct 1: the slot 2 class got a work/ask questions period for the page 96 and Trigonomery Equation worksheet assignment from Wednesday (typo on the answer key- #9 should be 171.0 not 170.0). The slot 6 class loses this class to the Reconciliation event.
Wednesday Sept 29: we finished Lesson 2.1.3 and did Lesson 2.2.1 on pages 14-17 in the Chapter 2: Trigonometry Notebook. If you missed the class or want to see the lesson again, it's covered in this video and this video. The assignment for this section is textbook page 96 #1-16,18,21-24,29 (this is the combination of the two assignments from pages 15 and 17 of the notes booklet). I also handed out a Trigonomery Equation worksheet for you to try. There is no school tomorrow and I won't be doing a new lesson on Friday, so you have until Monday to work on yesterday and today's assignments.
Tuesday Sept 28: we started Lesson 2.1.3 on pages 10-12 in the Chapter 2: Trigonometry Notebook. If you missed the class or want to see the lesson again, it's covered in this video. The assignment for this section is textbook page 83 #8,10 -13,15,17,20, 21,24. Check out this interactive unit circle.
Monday Sept 27: we did Lesson 2.1.2 on pages 7-9 in the Chapter 2: Trigonometry Notebook. If you missed the class or want to see the lesson again, it's covered in this video. The assignment for this section will be given after tomorrow's lesson.
Friday Sept 24: we went through pages 1-6 in the Chapter 2: Trigonometry Notebook. If you missed the class or want to see the pages 1-3 lesson (Lesson 2.0) again, here is the video. If you were struggling with the Right Angle Trigonometry Review, hopefully that lesson cleared things up for you. If you missed the class or want to see the page 4-6 part of the lesson (Lesson 2.1.1) again, here is the video for that one. The assignment for this section is the Right Angle Trigonometry Review (here is the answer key) and textbook page 83 #1-7,9,15-17, 20
Thursday Sept 23: Chapter 1 Test
Wednesday Sept 22: we had one more look at some questions from the pages 66-70 of the textbook. We also did the enrichment activities on the last two pages of the notes booklet together and the Al's Allowance problem. Chapter 1 Test is tomorrow. If you feel good and ready and want to look ahead to the next unit, I handed out three things today: a Right Angle Trigonometry Review, the Chapter 2: Trigonometry Notebook, and a booklet of Chapter 2 Quizzes. The Right Angle Review should take you all of about 10 minutes. If you want to explore Fractals some more, here is the link I used in class.
Tuesday Sept 21: today is a work/get help class for the Chapter 1 Review and Practice Test on pages 66-70.
Monday Sept 20: We started with the 1.4 Mini-Quiz, then we went over some 1.5 homework problems and did the 1.5 Mini Quiz. Tomorrow will be a work/ask questions period for the Review and Practice Test on pages 66-70.
Friday Sept 17: We went over some of the 1.4 homework problems, then the Slot 2 class lost a few minutes to the Student Vote activity that the Social Studies Department has asked us to do. So, we'll hold off on doing the 1.4 Mini-Quiz until Monday. Then we did the 1.5 Lesson in the Sequences and Series booklet. You can try part b of the last example for yourself. This included a discussion of Zeno's Paradox. Here is the video for Lesson 1.5. The assignment for this section is textbook page 63 #1-5-8,11, 12, 14, 15 , 19, 20
Thursday Sept 16: We went over some 1.3 homework problems, then we did a 1.3 Mini-Quiz. Then we did the 1.4 Lesson in the Sequences and Series booklet. The assignment for this section is textbook Pages 53 #1-6, 8, 10, 11,13, 15-19. Here is the lesson video. We'll go back to our "climb to a prime sequence" tomorrow and see if anyone beat 4 terms.
Wednesday Sept 15: we went over some 1.2 homework problems, then did the 1.2 Mini Quiz from the booklet I handed out yesterday. Then we did the 1.3 lesson in the Sequences and Series booklet. The assignment for this section is textbook P. 39 #1-10, 12, 13, 18, 20, 22, 23, 26, 27. Here is the lesson video if you missed the class.
Tuesday Sept 14: We started out by seeing if anyone had solved the "how many rows does it take to get to a 5" problem from the see-and-say sequence: 1,11,21,1211,1231, ... Then I handed out a booklet of Chapter 1 Mini Quizzes. We did the 1.1 Mini Quiz in class today (the key is at the end of the file - #5 has an error the correct answer is 47). Then we had some work time for textbook page 16 #1-11,15,19,21,24,25 and page 27 #1-7, 9,10,12,14,16,19,23. We wrapped up with the "climb to a prime" sequence game. Here is a direct link to the prime number checker to help you play with your own favourite non-prime number. Tomorrow we'll see how your "climb to a prime" sequence looks, we'll do a 1.2 Mini Quiz and we'll move on to Chapter 1.3.
Monday Sept 13: we finished Lesson 1.1 and then went through Lesson 1.2 in the Sequences and Series booklet. The homework is textbook page 16 #1-11,15,19,21,24,25 and page 27 #1-7, 9,10,12,14,16,19,23. You'll have some work time in tomorrow's class. Try to complete the page 16 portion for tomorrow. Here is a video of the 1.2 Lesson if you missed it or want to see it again.
FRIDAY SEPT 10: we went over a few things on the grade 10 skill review sheet, then I handed out the answer key for the Number Sequence Activity and checked in to see if anyone got anywhere with the tough ones. Then we looked at Lesson 1.1 in the Sequences and Series booklet, but we didn't quite finish the lesson, so no new homework this weekend. If you need to, spend some time making sure that you understand how to do the material on the grade 10 skill review sheet. If you missed today's class, here is the lesson on video.
THURSDAY SEPT 9: Welcome to Grade 11 Honours Pre-Calculus! Here is the course outline and an overview of the curriculum. Here is a grade 10 skill review sheet, just to refresh some skills while I hand out your first notes package, the Sequences and Series booklet, as well as your textbook. I also handed out a Number Sequence Activity. I'll hand out an answer key for it tomorrow in case you want to try to solve some of it tonight. The questions on the grade 10 skill review sheet should be things you already know how to do, but don't panic if you need a little bit of refresher on those skills. I don't expect anyone to solve all of the questions on the Number Sequence Activity, so think of that as a challenge or puzzle - NOT as curricular expectations!
SLOT 3 - MAP30S - GR 11 APPLIED MATH
ONLINE RESOURCES: Desmos, Statistics Calculator at Calculator Soup, Frequency Table Calculator, Histogram Generator
EXAM REVIEW PACKAGES are in Answer key is HERE. MISTAKE ON THE ANSWER KEY FOR #6 should be A! YOU CAN OMIT #15.
VIDEO LESSONS: Deriving the Sine Law, Using the Sine Law (examples), Deriving the Cosine Law, Using the Cosine Law (examples), Lesson 3.4-word Problems, 4.1 - 4.2 Trig of Obtuse Angles, 4.3 Part 1, 4.3 Part 2, Chapter 5 Lesson 1, Chapter 5 Lesson 1, chapter 5 Lesson 2 (part A), Ch 5 Lesson 2 Part B, grade 7-9 graphing review, Chapter 6, lesson 1Part 1, Chapter 6 Lesson 1 Part 2, Chapter 6 Lesson 2, Chapter 6 Lesson 3, Chapter 7 Lesson 1, Chapter 7.2 lesson, Page 11 #6, Chapter 7.2 Lesson part 2, Chapter 7.4 lesson, Chapters 7.1-7.4 Summary video, Chapter 7.5 Part 1 video lesson, Chapter 7.5 Part 2 Lesson video.
Chapter 2.1, Chapter 2.2, Chapter 2.3, Chapter 2.4, Chapter 2: Mid-Chapter Review, Chapter 2 Self-test, Chapter 2: Chapter Review
Thursday Jan 27 and Friday Jan 28: Optional re-testing. Attendance is optional, but be warned, I still have to take attendance, so if you decided to not come to class, make sure it's cool with your parent/guardian who gets the phone call.
A few last bits of business:
First, PLEASE bring back your textbooks so I don't have to phone home looking for them.
Second, when I do your report card, I'll just use the same CUSR letters that you chose when we did the term 1 reports. If you want me to change any of them, I'll leave it to you to message me on Edsby. You have until the end of the day next Thursday, February 3. If you need a reminder of how the CUSR portion of your report card works, watch this video.
If I still have one (or more) of your last tests that I wasn't able to hand back to you due to absence, I will hang on to it until a week or so into second semester. After that, they get recycled. The Optional re-tests don't get handed back, since we use the same ones from semester to semester, so keep your eye on Edsby for a message sometime next week saying how you did.
Have a great semester 2, everyone. It has been an honour to be your Grade 11 Applied Math teacher.
Wednesday January 26: today is a work period for students to get prepared for the Optional Re-Tests for tomorrow and Friday. There is no new material being covered and if you chose to not re-test any of Chapters 1-7, then attendance from today through Friday isn't particularly required. I NEED YOUR TEXTBOOK, PLEASE TURN IT IN BY THE END OF THE WEEK. They'll still make me take attendance, so if you decide to go home to work on other courses, make sure you clear that with the parent/guardian who will get the attendance phone call. If you aren't doing any retests, but for some reason you have to be here, bring something to work on from your other courses.
Tuesday January 25: Chapter 7 Test
Monday Jan 24: one last class to ask questions and work on the Review at the back of the Chapter 7 Quadratics Notes Booklet (here is an answer key). If you want more review than there is at the end of the notes booklet, you can work on the textbook's CH 7 Review, or the Ch 7 Self Test. Reminder: for tomorrow's test, you can bring in a page of notes with whatever you want on it.
Friday Jan 21: work time for the Review at the back of the Chapter 7 Quadratics Notes Booklet (here is an answer key). If anyone is still working on textbook page #1,3,5,7,8,9, you can work on that. If you want more review than there is at the end of the notes booklet, you can work on the textbook's CH 7 Review, or the Ch 7 Self Test. For Tuesday's test, you can bring in a page of notes with whatever you want on it.
Thursday Jan 20: we went through the review word problems at the end of the 7.8 lesson in the Chapter 7 Quadratics Notes Booklet. Then we had time to work on textbook page 436 #1,3,5,7,8,9, or start in on the review at the end of the notes booklet (here is an answer key). Here is a recording of the examples part of the class.
Wednesday January 18: We did the 2nd half of Lesson 7.8 today, then started our review of the Chapter. The assignment is the same as yesterday, page 436 #1,3,5,7,8,9, but if you are ready to move on from that, you can start the Review at the back of the Chapter 7 Quadratics Notes Booklet (here is an answer key). Check back here Wednesday afternoon for a link to the recording of the lesson.
Tuesday January 18: we started Lesson 7.8 of the Chapter 7 Quadratics Notes Booklet, where we learn how to produce quadratic equations from the information in a word problem, both with and without technology. Here is a link to the recording of the lesson. The 7.8 assignment is textbook page 436 #1,3,5,7,8,9. You'll get work time Thursday.
Monday January 17: we finished up the word problem examples in the 7.7 Lesson of the Chapter 7 Quadratics Notes Booklet. You should now be able to do all of the problems in textbook page 427 #1-4,7,8,10. The rest of the period was work time. Here is a video recording of the lesson part of the class. I still need some of you to go to this Desmos link to join our Desmos class.
Friday January 14: back to the Chapter 7 Quadratics Notes Booklet. Today we started the notes and examples for Lesson 7.7 - Solving Quadratic Equations Using the Quadratic Formula. The assignment for this section is textbook page 427 #1-4,7,8,10. We didn't get to the word problem examples yet, so for Monday, just try the first couple of questions. You'll get some work time on Monday. Also, make sure you are caught up on the old assignments from pages 391, 405, and 417. Here is the link to the recording of today's class.
Thursday January 13: we extended our look at the vertex form of a quadratic equation by learning how we can solve for the x intercepts of a quadratic, given its equation in vertex form. Once we went through a few examples, we re-assigned page 417 ##1-5,8,13,18. For the people who finished the original assignment yesterday, we added the challenge that for #1 and 2 - for the questions that HAVE x intercepts (some don't), use this technique to find them. Then check your results with Desmos. Here is a recording of the lesson part of the class.
Wednesday January 12: work period for textbook page 417 #1-5,8,13,18. No recording today. You'll get a little more work time tomorrow if you need it.
Tuesday January 11: we went over a few more homework problems from the page 391 and 405 assignments, then we went through Examples 1,3 and 4 in section 7.6 of your textbook (pages 410-415). Your new assignment is page 417 #1-5,8,13,18. You can have tomorrow's class as a work period. Here is a link to the recording of the 7.6 lesson part of today's class.
Monday January 10: Happy New Year! So we're back to online classes for this week. The link to the class meeting is in your Teams Calendar and should also be accessable via the inviation in your Pembina Trails email, or you can use this link. Today's plan is to ease our way back into things. We'll check that everyone's tech is working, do attendance, and then I'll go over a few questions from the pages 391 and 405 homework assignments to refesh our memories on where we are in the course. New lesson tomorrow. If you missed any part of today's class you can watch the recording here.
When you have a minute, go to this Desmos link to join our Desmos class.
Wednesday Dec 22: work time for the assignments from yesterday. No new lesson. Have a safe and restful X-mas break, everyone.
Tuesday Dec 21: We continued our 7.5 lesson on solving quadratics by factoring. I also showed you how to 'cheat' a bit by using technology when you get stuck trying to factor. Here is the video of today's examples. The assignment for this section is textbook page 405 #1-4,6,7,9,12,14. Some of you might still be working on the page 391 #1-5, 8,9,11,13. assignment from Friday, so we'll let you have tomorrow as work time and we won't start on lesson 7.6 until after the break. Make sure you can access your Microsoft Teams for this course. We may end up needing it after the break!
Monday Dec 20: If you haven't seen it already, check out the Edsby message I posted on our class page over the weekend. We did the first part of a lesson for Chapter 7.5, refreshing and using our grade 10 factroring skills to solve for x intercepts of quadratic equations. This section isn't in the Chapter 7 Quadratics Notes Booklet so we just worked on loose leaf from the examples I made up in class. Here is a video of the lesson, if you missed the class (again - it's NOT in the notes booklet!). Make sure you can access your Microsoft Teams for this course. We may end up needing it after the break! We still have classes in-person and I still have to do in-person attendance until they tell us otherwise.
Friday Dec 17: we reviewed the vertex form of a quadratic equation, then did a little 7.1-7.4 summary on page 14 of the notes package. Here is a video of the lesson. After that we had time to work on the textbook assignment: page 391 #1-5, 8,9,11,13. THIS WEEKEND, CHECK TO SEE IF YOU CAN ACCESS YOUR TEAMS ACCOUNT. Just in case..
Thursday Dec 16: we did a 7.1-7.3ACC (answer key is at the end of the file), then we did the 7.4 Lesson on page 13 of the Chapter 7 Quadratics Notes Booklet. Here is a video of the lesson. The assignment for this section is textbook page 391 #1-5, 8,9,11,13. We'll use tomorrow mostly as a work period.
Wednesday Dec 15: we went over the 3 examples on page 11 of the Chapter 7 Quadratics Notes Booklet. You can now do textbook assignment, page 369 #1-10. The rest of the class is work time.
Tuesday Dec 14: we went over #6 from the page 370 assignment and extended it to consider how we could use our grade 10 algebra skills or graphing technology to find the equation of these quadratics. Then we continued the 7.2 lesson in the Chapter 7 Quadratics Notes Booklet. Your homework tonight is the three examples on page 11 of the booklet. Here is a video of the first part of the class, where we went over #6 and learned how to find equations given data. Here is a video of the 7.2 Lesson part of the class.
Monday Dec 13: we started by looking at a couple of the textbook questions from the page 360 assignment. Then we started the 7.2 lesson in the Chapter 7 Quadratics Notes Booklet. We'll continue this section tomorrow, but you can try textbook page 370 #6,8-10. We'll add to that tomorrow. Here is a video of the lesson.
Thursday Dec 9: CHAPTER 6 LINEAR INEQUALITIES TEST. If you finish with time to spare, work on textbook page 360 #1-3,5,6. You should be done those for Monday.
Wednesday Dec 8: I handed out the Chapter 7 Quadratics Notes Booklet and we went through Lesson 7.1. Here is the video of the lesson. The assignment for this section is textbook page 360 #1-3,5,6. You should be done those for Monday. Here is the link to the video clip we watched in class, a very cool application of parabolas - blob jumping!
Tuesday Dec 7: Work/ask questions time to finish up the page 330 and 344 assignments and start working on the Chapter 6 Review (here is the answer key). We start Chapter 7 tomorrow.
Monday Dec 6: After a 6.3 ACC, we had work time for Page 330 #1,2,5 and page 344 #11-14 in the Ch 6: Systems of Linear Inequalities Notes Booklet. I also handed out a Chapter 6 Review (here is the answer key) that you can start working on to prepare for Thursday's test.
Friday Dec 3: After a 6.2 ACC, we went through lesson 6.4-6.6, pages 14-17 of the Ch 6: Systems of Linear Inequalities Notes Booklet. Click here for the video of the lesson. The textbook assignment for this lesson is Page 330 #1,2,5 and page 344 #11-14. You will get some work time on Monday.
Thursday Dec 2: After a 6.1 ACC (here is the solution),we went through the last example in the 6.2/3 Lesson on page 13 of the Ch 6: Systems of Linear Inequalities Notes Booklet. Then we had some work time for textbook page 317 #1-2 (use paper and pencil), # 3,5-7 (use technology). Here is the video of the lesson.
Wednesday Dec 1: We went over a couple of the textbook page 303 questions together to start the class. Then we continued 6.2-6.3 lesson on pages 10-12 of the Ch 6: Systems of Linear Inequalities Notes Booklet. We'll do the last example from this lesson to start the class tomorrow, before moving on to lesson 6.4-6.6 on Friday. The new assignment is textbook page 317 #1-2 (use paper and pencil), 3,5-7 (use technology). Here is a video of the lesson.
Tuesday Nov 30: We started class by correcting #2 and 3 on page 8 of the Ch 6: Systems of Linear Inequalities Notes Booklet. Then, after some work time for textbook page 303 #1-5,9,10,12, we did the grade 10 graphing review page in this handout, and then we started the 6.2-6.3 lesson on page 9. Here is a video of the lesson part of the class. No new assignment until we finish up the lesson tomorrow, so you have one more night to finish up the page 303 assignment.
Monday Nov 29: today, we finished off lesson 6.1 in the Ch 6: Systems of Linear Inequalities Notes Booklet. Here is the video of the lesson. The assignment for this lesson is textbook page 303 #1-5,9,10,12. For #1 and 5, graph with pencil and graph paper. For all other questions, use technology to graph, then just sketch the result. For fun: if you want another (animated!) version of the Infinity Hotel (a.k.a the Hilbert Hotel) story that I told you on Thursday, check out this video. If you want to see a great explanation as to why you can't count (or make a list of) every irrational number, check out this video (start at the 5 minute mark).
Thursday Nov 25: we started Chapter 6 today. We spent a few minutes reviewing some grades 7-9 graphing rules (the first two pages of this handout), then we did the notes and examples for lesson 6.1, pages 1-3 in the Ch 6: Systems of Linear Inequalities Notes Booklet. Here is the video for the first part of class, where we reviewed grade 7-9 graphing. Here is the video for the second half of the class where we started Chapter 6, lesson 1. No homework yet. Have a great weekend!
Wednesday Nov 24: STATISTICS (Ch 5) TEST When people were finished, I handed out the Ch 6: Systems of Linear Inequalities Notes Booklet. This next unit involves lots of graphing, so it would be a good idea to bring in some graph paper.
Tuesday Nov 23: work/get help class for the Assignment 5.5 handout (here is the answer key) and the Chapter 5 Review (here is the answer key). Test tomorrow.
Monday Nov 22: we went through part 2 of lesson 5.5 in the Chapter 5 Notes Booklet, learning how to do an inverse shadenormal (on the calculator) or an inversecdf, as it's called on Desmos. This is basically the opposite of what we did on Friday. Here are both sets of lesson 5.5 notes filled in for anyone who missed one of the lessons. Here is the video of today's class if you missed it or need to see examples again. You can now do all of the Assignment 5.5 handout (here is the answer key). Once you are finished that, last week, I handed out the Chapter 5 Review (here is the answer key) that you can start working on. You'll get time to work on it tomorrow and we test the chapter on Wednesday.
Friday Nov 19: we finished the examples in the first part of lesson 5.5 Here are both sets of lesson 5.5 notes filled in for anyone who missed one of the lessons. Here is the video of today's class, if you missed any of it or want to see the examples again. Over the weekend, work on the Assignment 5.5 handout (here is the answer key) - you won't be able to do #5,6,11 until after Monday's lesson. Once you are finished it, yesterday I handed out the Chapter 5 Review (here is the answer key) that you can start working on.
Thursday Nov 18: we went over the 5.4 worksheet #2 (here is the answer key) again, using Desmos and he other online graphing aps. Then we did the first part of lesson 5.5, Z-scores, in the Chapter 5 Notes Booklet. We'll do the rest of that chapter together on Monday. Use tonight to finish the worksheets from Tuesday and Wednesday. I split today's class into two videos: here is me going over the 5.4 worksheet using Demos and the online apps and here is the new lesson introducing section 5.5, Z-Scores.
Wednesday Nov 17: we finished part 2 of the the 5.4 lesson in the Chapter 5 Notes Booklet. and then we worked on the 5.4 Normal Distribution Part 1 Worksheet (here is the answer key) and the 5.4 worksheet #2 (here is the answer key). We did question #1 together, #2 is your homework for tomorrow. If you finished that, work on page 251 #1,4,5,9,10,11,13,14. Here is the video of the class, if you missed any of it or want to see the examples again. Please note that I added a couple of questions to this assignment, ALSO: note that any place in the textbook that it asks for a "frequency polygon", just make a histogram.
Tuesday Nov 16: today we introduced the concept of a normal distribution with this video and went through Lesson 5.4 - Part 1 in the Chapter 5: Statistical Reasoning Notes Booklet. Here is the video of the class, if you missed any of it or want to see the examples again. If you are ready to move on from the 5.1-5.3 Practice Booklet (Here is the answer key), the work for this section is this 5.4 Normal Distribution Part 1 Worksheet (here is the answer key). If you want to see a different explanation of this topic, watch this video. If you finish the booklet and want more practice, you can do textbook page 251 #1,6,13,14.
Monday Nov 15: we watched this video. Then I handed out the 5.1-5.3 Practice Booklet . It should be done by Wednesday. Here is the answer key. We had some work time for it today, after that we watched this video and this Price Is Right video, then this video and this video, as an introduction to lesson 5.4 on normal distribution.
Friday Nov 12: we went through lesson 5.3: Standard Deviation in the Chapter 5: Statistical Reasoning Notes Booklet. I can imagine that a few students might not be able to make it in today due to the snow, so I will record the lesson. Check back here this afternoon for the video of the class. The textbook practice for this section is page 233 #2,5,7,8,14. Also, you should watch this video for a very nice description of the meaning of standard deviation. We didn't watch this one in class, but here is another video that shows how to calculate standard deviation.
Wednesday Nov 10: we lose most of this class to the Remembrance Day Ceremony. Whatever time we have, students can work on page 222 #3-5 and I can help troubleshoot tech problems.
Tuesday Nov 9: Today we finished Lesson 5.2 in the Chapter 5: Statistical Reasoning Notes Booklet. We used the online Histogram Generator, as well as Desmos. Here is a video of the class. The assignment for this chapter is textbook page 222 #3-5.
Monday Nov 8: after we went over the last example in the 5.1 lesson, we started Lesson 5.2: Frequency Tables and Histograms in the Chapter 5: Statistical Reasoning Notes Booklet. Today's lesson used the online Frequency Table Calculator and then we did a histogram by hand. Here is the video of the class in case you missed it or need to see it again. Tomorrow we'll continue the lesson and use technology. No new assignment.
Friday Nov 5: we did the first lesson in Chapter 5: 5.1-Exploring Data. This covered pages 2-5 in the Chapter 5: Statistical Reasoning Notes Booklet and is pretty much a review of concepts from grade 8, but now we focus on using technology to help us manage the data. We didn't get to the final example about the car batteries, so I told the class to try that one at home and we'd go over it on Monday. Here is a video of the lesson in case you need to see the online or TI instructions again (or you were absent). The assignment for this section is textbook page 211 #1b,d, 2,3. The online Statistics Calculator we used in class is this one here at Calculator Soup.
Thursday Nov 4: Chapter 4 Test. Anyone who finished early could try one of the questions from tomorrow's assignment (it is grade 8 review), textbook page 211 #1b,d, 2,3. After the test I handed out the Chapter 5: Statistical Reasoning Notes Booklet. Reminder to students that this is the part of the course where you MUST come to class either with a smart phone capable of accessing the internet to run DESMOS (among other online graphing and calculation apps) OR a TI-83 or TI-84 graphing calculator.
Wednesday Nov 3: work/practice time for the assignments from yesterday: page 13 of the notes booklet (here is the answer key) and textbook page 194 #2,3,8,10. Test tomorrow. If you have finished all assigned questions and you want more practice, you can do the Chapter 4 Review, or the Chapter 4 Self Test
Tuesday Nov 2: It's CUSR Day! (Watch this video if you missed the class). I went through the 4.4 examples on page 15 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet. I'll record the class for this and post the video of the examples here. Our review assignment is page 13 of the notes booklet (here is the answer key) and textbook page 194 #2,3,8,10
Monday Nov 1: we finished up the rest of the 4.3 examples on pages 11-12 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet. If you missed the class or want to see the examples again, here is the video of the class. Then we worked on textbook page 183 #4,6,8,12,13. Tomorrow is a review day, then we'll have a work day, then we test Chapter 4 on Thursday.
Friday Oct 29: we had some work time for the page 172 assignment and we did #15 together. Then we did the lesson 4.3 notes on pages 7-9 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet together. Here is a video of the lesson. If you want to see a different explanation of this topic check out this video. We'll finish up the rest of these examples on Monday, but if you think that you are ready to try the next assignment and you want to work ahead, the assignment for this section is page 183 #4,6,8,12,13
Thursday Oct 28: we went through lesson 4.1 and 4.2 in our Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet. The homework for this section is textbook page 172 #8-15. What is different about #15 from the rest of the assignment? (Hint: think about the activity we did on Tuesday!). Here is the video of the lesson. If you want to play with the interactive circle yourself, here is the link.
Wednesday Oct 27: Chapter 3 Test. If you finish early you can try filling out the chart on the second page of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet that I handed out once people were finished.
Tuesday Oct 26: we used today's class to do an activity to help us build some understanding of the concepts we'll do in Chapter 4: the Congruent Triangle Activity. I don't have a video for this activity, but if you missed class and want to try it for yourself, you can work your way through this power point that goes step by step on drawing the triangles.
Monday Oct 25: we went over a couple of page 147 questions, then we had time to work on the Chapter 3 Self Test that starts on page 152 of the textbook. If you are looking for more review, you can do the Chapter 3 Review, page 154 of the textbook. Please bring a ruler and a protractor to tomorrow's class. I moved the test to Wednesday, but you are on your own for review - tomorrow we do a scale diagraming activity to set up Chapter 4.
Thursday Oct 21: we started with a 3.2 ACC (Sine Law) (here's the key) and a 3.3 ACC (Cosine Law) (here is the key). Then we had work time for page 147 #3-5,8-10. If you want to start on the review that we'll work on in class on Monday, you can start the Chapter 3 Self Test. Have a great long weekend!
Wednesday Oct 20: we had some work time for the page 137 assignment, then we did pages 9-11, Lesson 3.4 in the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. If you are finished with the page 137 assignment and are ready to try some word problems, tomorrow's assignment will be page 147 #3-5,8-10. You will get some work time tomorrow. Also, I handed out the formula sheet that you get on the test next Tuesday so you can get used to it before hand.
Tuesday Oct 19: we went over the Cosine Law examples in Lesson 3.3 of the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. Then we had some time to work on page 137 #2-5, 7,8,10,13,15.
Monday Oct 18: we went over some of the homework questions from page 124 #2-5,7,9. We spent extra time on #9, so we could learn how to handle compass headings. Then we started Lesson 3.3 in the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. where we talked about what we can use if there isn't enough information to use the Sine Law. This lead us to derive the formula for the COSINE LAW. Today we just derived the formula. We'll do the examples in the booklet tomorrow, but if you are finished all of the page 124 problems that I assigned on Friday, you can try page 137 #2-5, 7,8,10,13,15. You will get some work time tomorrow and we'll go over answers on Wednesday.
Friday Oct 15: We started by going over a couple more problems on the Right Angle Trigonometry Review booklet together. Then we did the first lesson in our new Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. We derived the formula for the SINE LAW and learned how to use it. Your homework for this lesson is textbook page 124 #2-5,7,9 Don't panic if you can't do #9, but give it a try! Hint: make a diagram (if you're feeling really ambitious, try using a ruler and a protractor and making a scale diagram!)
Thursday Oct 14: we started by going over a few questions in the Right Angle Trigonometry Review booklet together. Your homework tonight is to finish the rest of the booklet. Here is the answer key.
Wednesday Oct 13: Chapter 2 Test today. I don't think this test is very long, so you should have some time at the end to work on the Right Angle Trigonometry Review that I handed out way back on the day we wrote the Chapter 1 test. Here is the answer key for that review. We'll go over some of it tomorrow as we start into Chapter 3.
Tuesday Oct 12: we went over some questions together from the 2.4 textbook assignment and the Chapter 2 Assignment/Review Booklet (here is the answer key). On that review, we noticed that #11b might not be solvable. On the answer key, it is assumed that there is more than one pair of parallel lines. We can't really assume that, so I don't think there is enough information to solve for w and x. Test tomorrow.
Thursday Oct 7: We went over a few questions from the 2.3 homework from yesterday, then we did a mini-quiz (ACC) for 2.3, then we had work time for the 2.4 assignment on textbook page 99 #1-3,6,7. If you are finished those and want to start reviewing, you can work on the Chapter 2 Assignment/Review Booklet that I handed out at the beginning of the unit. Here is the answer key. If that isn't enough practice for you, there are reviews at the end of the chapter in your textbook that you can try. I hope everyone has a great long weekend!
Wednesday Oct 6: we started with a mini-quiz (ACC) for 2.1-2.2. The file link has an answer key at the end if you missed class and want to try it for yourself. Then we finished the 2.3 examples on pages 17-18, and we did the 2.4 lesson on pages 19-20 of the Chapter 2: Properties of Angles and Triangles Notes Package. Then we had time to work on the assignment, textbook page 90 #2-5,7,10,13,14,15
Tuesday Oct 5: we started by going over some of the questions from yesterday's homework. Then we started the notes for Chapter 2.3 on pages 16-17 of the Chapter 2: Properties of Angles and Triangles Notes Package. We'll finish the notes and examples tomorrow, but if you want to get started on the next assignment, it's textbook page 90 #2-5,7,10,13,14,15
Monday Oct 4: today we finished up the 2.1 and 2.2 Lesson up to the end of page 15 in the Chapter 2: Properties of Angles and Triangles Notes Package. Then we had time to work on the textbook assignment: Page 72 #2,5,6 and page 78 #1,2,4,17,20. If you missed today's lesson, the filled in version of the notes package is here. That link also has the key to the page 6-7 assignment from Wednesday.
Friday Oct 1: we did notes for lessons 2.1 and 2.2, pages 10-12 in the Chapter 2: Properties of Angles and Triangles Notes Package together. We'll finish up pages 13-15 on Monday, so there is no new assignment just yet. If you want to try to work ahead, the assignment for this section is textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20. If you missed today's lesson, the filled in version of the notes package is here. That link also has the key to the page 6-7 assignment from Wednesday.
Wednesday Sept 29: Chapter 1 Test. If you finish early, you can work on pages 6 and 7 in the Chapter 2: Properties of Angles and Triangles Notes Package or this Right Angle Trigonometry Review that I handed out today (here is the answer key).
Tuesday Sept 28: today was a class to work on and get help for tomorrow's test. The review is at the end of Chapter 1 in the textbook: the Chapter 1 Self Test and the Chapter 1 Review Page 58 #1-7 and Page 61 #1-5,7-10, 13, 15.
Monday Sept 27: we started Chapter 2 today. We did pages 2-5 and 8-10 in the Chapter 2: Properties of Angles and Triangles Notes Package together. Pages 6 and 7 are for you to practice on your own. That's about the only homework for today and tomorrow, so if you want to spend time getting ready for Wednesday's test here is a textbook review that you can work on tonight and in class tomorrow: the Chapter 1 Self Test and the Chapter 1 Review Page 58 #1-7 and Page 61 #1-5,7-10, 13, 15.
Chapter 1 Test Wednesday September 29
Textbook Section 1.1 Textbook Section 1.2 Textbook Section 1.3 Textbook Section 1.4 Textbook Section 1.5, Section 1.6, Chapter 1 Self-Test, Chapter 1 Review
Friday Sept 24: we went through the homework questions from yesterday and had some time to work on the Chapter 1 Homework booklet. Here is the answer key for the 1.2-1.6 sections of the booklet. Then we ended with the Friday versions of the SET GAME and Sudoku. FOR NEXT WEEK, BRING A PROTRACTOR AND A RULER TO CLASS.
Thursday Sept 23: Today we started class with a SET GAME and a Sudoku. Then we continued to explore the Tax Collector problem (here is the best possible solutions for games with 12, 24, and 48 cheques). Then we did the logic problems on pages 17-18 of the Chapter 1 Notes Package together. Then we had time to work on the assignment: textbook page 43 #5,6, page 49 #2,-4,6-11,14, and the examples on pages 22-23 of the Notes package. If anyone finishes that and wants to move on, the next assignment is in the Chapter 1 Homework booklet. You can also work on the 5-Triangle Puzzle (here are the solutions: one and two) and the practice Sudoku page (here is the answer key).
Wednesday Sept 22: Another day, another SET GAME. Then we did some examples from section 1.6 in the Chapter 1 Notes Package. Then we let students have some time to work on the Tax Collector problem, the practice Sudoku page from yesterday, and the 5-Triangle Puzzle. All the games and puzzles are cool, but we should get back to some textbook work, so the next assignment is textbook page 43 #5,6 and page 49 #2,-4,6-11,14, and finish the examples on pages 22-23 of the Notes package. You will get more work time tomorrow.
Tuesday Sept 21: After today's SET GAME, we wrapped up our discussion of the Collatz Conjecture from yesterday. We looked at this article and talked about the difference between when a mathematician is "satisfied" with a proof of a conjecture, vs when a person who is using mathematical reasoning for applied purposes is satisfied with the level of validity of the proof. Then we did a Chapters 1.1-1.3 practice quiz (not for marks). Then we looked at more deductive reasoning and solved the riddle of how this webpage is "reading your mind". Finally, we started looking at Sudokus, so I handed out a practice Sudoku. I also handed out a the 5-Triangle Puzzle.
Monday Sept 20: After today's STUDENT ELECTION, we started by seeing if anyone had any homework questions they needed help with. Then we solved this problem, which lead us to looking at a famous problem called Fermat's Last Theorem. This video helped us to understand it. Then we looked at a couple of near misses in the Simpsons. Then we went back to talk about the Collatz Conjecture. We watched and discussed this video and this video. So, did anyone figure out how this webpage is "reading your mind"? We'll reveal it's secrets tomorrow.
Friday Sept 17: We did some more examples in the Chapter 1 Notes Package, focusing on 1.4: Invalid Proofs. Then we had some more work time for the assignment from yesterday. The assignment is now: page 13 #2,8,9,11, page 17 #2, page 22 #1,3,4, and page 42 #3. Finally, we left you with an interesting piece of math lore called the Collatz Conjecture. And see if you can figure out how this webpage is "reading your mind"
Thursday Sept 16: We started with today's SET GAME. Then we continued doing examples in the Chapter 1 Notes Package, then we had some time to work on the textbook assignment: page 13 #2,8,9,11, page 17 #2 and page 22 #1,3,4. You should be done these questions for Monday, but I will likely add a few more tomorrow. If anyone finishes that and wants to move on, the next assignment is in the Chapter 1 Homework booklet. You can work through the practice questions in this booklet at your own pace. We are going to be using puzzles from over the next few days.
Wednesday Sept 15: We went over the questions I asked you to think about yesterday, pages 3-5 in the Chapter 1 Notes Package. Then we did a few more examples in the notes. We'll do some more examples tomorrow, but if you want to get started on the next assignment, it will be textbook page 13 #2,8,9,11, page 17 #2 and page 22 #1,3,4. You'll have some work time tomorrow.
Tuesday Sept 14: We looked back on the "climb to a prime" game to see why Mr K's favourite number is 13 532 385 396 179 (sadly, a number too large for his hockey jersey). Then we did notes and examples in the Chapter 1 Notes Package. Your assignment for tomorrow, is to try to make conjectures for the examples on pages 3-5.
Monday Sept 13: we went through some of the grade 10 (and earlier) skill review package together, just to brush up on old skills. We also introduced the class to DESMOS, which is the graphing tool that we will be using for most of the graphing we do in the course. Now that we have done some examples of trigonometry (SOHCAHTOA) and graphing lines, see if you can finish the rest of the booklet. Tomorrow we'll start some official notes and textbook work.
FRIDAY SEPT 10: we played the SET GAME. Then briefly discussed how this game relates to math and we talked about the nature of mathematical reasoning. Then we went right back to yesterday's conjecture: is 8^x always going to be larger than 9^(x-1)? We found out that the answer was no (thanks to an excel spreadsheet!). Then we looked at the "see-and say" pattern and again, made a conjecture about how it was going. We wrapped the class up by playing the climb to a prime game, which leads to the conjectures I want you to consider this weekend: Will my favourite (non-prime) two digit number climb to a prime. Will ALL numbers eventually climb to a prime? Here is a direct link to the prime number checker to help you play. If you want to see the greatest mathematician of our lifetime (sadly, he died of Covid last year) talk about the see and say pattern, here is a video. And if you just can't wait until Monday to talk about the climb to a prime game, here is another video with a professional mathematician talking about it. Finally, I mentioned that there is a comedian who does routines on math (a stand-up mathematician) who does a bit about spreadsheets and you looked incredulous. Well, here it is. I told you it was real!
THURSDAY SEPT 9: Welcome to Grade 11 Applied Math! Here is the course outline. Here is a grade 10 (and earlier) skill review package just to refresh some old skills while I assign textbooks and get to know you a little bit. You can work on it tonight, but if you don't finish it, we'll have some time in class tomorrow. The questions on the grade 10 (and earlier) skill review package should be things you already know how to do, but don't panic if you need a little bit of refresher on those skills. We introduced the concept of a conjecture. This is our Chapter 1 Notes Package and this is our Chapter 1 Homework booklet. So what is your favourite (non-prime) number?
