Tuesday, September 3, 2024

Intro to Calculus (MCI45) SLOT 1A - September 2024


Remember that I will calculate your final grade by averaging together your three best Units out of the 4 that we studied.

Good luck on the rest of your exams!

Thursday Jan 23:   Officially, I can't NOT do attendance, but yeah.. our course is done.  Some students will be away today writing the MPC40S Provincial exam, but for everyone else, there is nothing more to do in this course.  I will still have to take attendance.  If you have to be here anyway, bring some exam review material from another course to work on.  If the parental units are cool with the attendance phone call, have a sleep-in.  
It has been a pleasure being the teacher who introduced you to calculus!  All the best in Semester 2!

Wednesday Jan 22: UNIT D TEST PART 2

Tuesday Jan 21:  UNIT D TEST PART 1

Monday Jan 20:  time to work on  Chapter D - Curve Sketching Workbook, section 5.5  #1-11

Friday Jan 17:  last new lesson!  We went through the Odd and Even Funtion Lesson on page 24 of the Unit D - Curve Sketching Notes Booklet.  The last assignment that puts everything together is  Chapter D - Curve Sketching Workbook, section 5.5  #1-11 is the review to work on between now and Tuesday's test.

Thursday Jan 16:  we did another example where we used concavity (along with all of our other tests) on pages 16-17 in the Unit D - Curve Sketching Notes.  Then we did the "Second Derivative Test" lesson. The assignment for this lesson is 5.4 #3 in the  Chapter D - Curve Sketching Workbook

Wednesday Jan 15: We went back to the 3rd example of the Concavity and Points of Inflection lesson in the  Unit D - Curve Sketching Notes Booklet and added our skills from earlier this unit to find its max, min, and explore its asymptotes.  Then we continued with the "Concavity: More Examples" lesson.  The assignment for this section is still 5.3 #1-3

Tuesday Jan 14:  We corrected the three limit review examples at the bottom of page 23 (the "Horizontal Asymptote lesson) then we went through "Concavity and Points of Inflection" lesson on pages 12-14 of the  Unit D - Curve Sketching Notes Booklet.   The assignment for this section is 5.3 #1-3 (page 10) of the  Chapter D - Curve Sketching Workbook 

Monday Jan 13:  we went back to the   Unit D - Curve Sketching Notes Booklet, but the pages are not in the correct order, so we jumped to the Vertical and Horizontal Asymptote lessons on pages 20-23.  We left the last three examples at the bottom of page 23 (limit review) for you to try.  We'll go over them at the start of tomorrow's class.  The homework for these lessons are 5.1 #1-4 and 5.2  #1-3  in the Chapter D - Curve Sketching Workbook

Friday Jan 10:  we did example 2 in the handout, First Derivative Test More Examples.  The assignments are still 4.1 #1-54.2 #1-7 and 4.3 #1-4 in the Chapter D - Curve Sketching Workbook

Thursday Jan 9:  I supplemented the notes booklet with the handout, First Derivative Test More Examples and we went through example 1 today.  The assignments are still 4.1 #1-54.2 #1-7 and in  4.3 it is now #1-4 in the Chapter D - Curve Sketching WorkbookHere is the Desmos file I used in class today. 

Wednesday Jan 8:   we finished the rest of Unit D, lesson 2:  Maximum and Minimum Values, Fermat's Theorem, and Critical Values, covering the examples on pages 6- 7, and then we did the First Derivative Test lesson on pages 8-10 in the Unit D - Curve Sketching Notes Booklet.  You can now work on all of 4.2 #1-7 and 4.3 #1-2 in the Chapter D - Curve Sketching Workbook.

Tuesday Jan 7:   No new lesson today due to the ELA Provincial exam.  We had time to work on 4.1 #1-5  and  4.2 #1-7 in the Unit D - Curve Sketching Workbook

Monday Jan 6:  Welcome back!  I handed out the Unit D - Curve Sketching Notes Booklet.  We started with Lesson 1, Increasing and Decreasing Functions, pages 2-3 and lesson 2: Maximum and Minimum Values, Fermat's Theorem, and Critical Values, which is pages 4-6 Your assignment for Lesson 1 is 4.1 #1-5  in the Unit D - Curve Sketching Workbook.  We'll need Wednesday's class to finish the last two examples in lesson 2, but if you are ready to move on, you can start work on 4.2 #1-7.

Friday Dec 20:  Have a great X-Mas break!  See you on Jan 6th!

Thursday Dec 19:  Antiderivatives Quiz.  We will not be doing a new lesson tomorrow.

Wednesday Dec 18: we went over some of the #2-8 questions from the Extention: Antiderivatives page in the Unit C Assignment Book together.  Quiz on that material tomorrow.

Tuesday Dec 17:  we had work time for #2-8 on the Extention: Antiderivatives page in the Unit C Assignment Book (the answer key is on the very last page of the booklet and here is the key for #8).  HERE IS A CLEARER COPY OF THE ANTIDERIVATIVES ASSIGNMENT (and key)

Monday Dec 16:  Related Rates test

Friday Dec 13:   we introduced the concept of the Antiderivative today, with the lesson on pages 28-32 of the Unit C: Chain Rule and Implicit Differentiation NotebookIf 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 Extention: Antiderivatives page in the Unit C Assignment Book.  We'll give you Tuesday's class as a work period for this assignment.

Thursday Dec 12:  Last day to work on/get help with  related rates worksheet.  If you finish those and want a few more related rate problems to try, there are some on pages 12-13 of the Unit C Assignment Book.  Specifically, you can try #5,6,8,9,10.  We will test related rates on Monday.

Wednesday Dec 11: We did these 3 more examples (the file here has a key) and gave people the rest of the class to keep workin on related rates worksheet.  If you finish those and want a few more related rate problems to try, there are some on pages 12-13 of the Unit C Assignment Book.  Specifically, you can try #5,6,8,9,10.

Tuesday Dec 10:  work time for the related rates worksheet.  The file here has full solutions.

Monday Dec 9:  Implicit Differentiation Test

Friday Dec 6: We went through example 5 on page 28 of the Unit C: Chain Rule and Implicit Differentiation NotebookHere's an animation of problem #5.  After that, it was work time for the Implicit Differentiation Worksheet to get ready for Monday's test.  If you are ready to move on, you can work on the related rates worksheet.  The file here has full solutions.   I'll let you have Tuesday as a work period for that.

Thursday Dec 5:   After another check in to see if anyone is stuck on anything in 2.7, we continued the lesson on related rates, going through examples 1,3,4, from pages 23-28 in the Unit C: Chain Rule and Implicit Differentiation Notebook.  If you want to play with animations and graphs of the problems in today's examples, here is the expanding rectangle, here are animations of filling the cone:  #1#2, and #3.    I'll finish up example #5 tomorrow, then hand out a couple of worksheets.  No new assignment yet.

Wednesday Dec 4:  we went over a couple of 2.7 questions (the dreaded #6!) then we started the lesson on Related Rates today, going through Examples 0 and 2 on pages 22-23 of the Unit C: Chain Rule and Implicit Differentiation Notebook  We will continue from there tomorrow.  If you want to play with animations and graphs of the problems in today's examples, here is the pond ripple (and here is a video of the phenomenon in real life), and here is the falling ladder.   No new homework yet.  We will test Implicit Differentiation (2.7) on Monday. 

Tuesday Dec 3:   work/ ask questions time for 2.7 #1-7 and page 14 #2-7 in the Unit C Assignment Book.  We will test Implicit Differentiation on Friday.  

Monday Dec 2:  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. For homework, finish up 2.7 #1-7, 10  in the Unit C Assignment Book and page 14 #2-7.   I'll give you some class time tomorrow to work.   Here is the Desmos file of today's graphs if you want to play with them for yourself. 

Thursday Nov 28:   today we found the domain and range for the ellipse in the page 18 example of the Unit C: Chain Rule and Implicit Differentiation Notebook.  Here is the Desmos file I used in class, if you want to explore it for yourself.   After that I did this example of another geometry problem that requires implicit differentiation to solve.  You can now do all of the assignment 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.  As I mentioned in class, Desmos is not capable of implicit differentiation, so if you want some online backup, try this Wolfram Alpha calculator.  

Wednesday Nov 27:  Chain Rule Test - if you finish with time to spare, work on finishing the ellipse example we started on page 18 in class yesterday (here is the Desmos file of this graph).

Tuesday Nov 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 15-18 of the Unit C: Chain Rule and Implicit Differentiation Notebook.  We'll finish off the last example from the lesson on Thursday to check to see if you got the correct domain (here is the Desmos file of this graph).   If you are ready for tomorrow's 2.6 test you can get started on the next assignment: 2.7 #1-7of the Unit C Assignment Book.

Monday Nov 25:  we did a quick check-in to see if anyone had any 2.6 or Chain Rule worksheet homework issues.  Then 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).  There isn't 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 Desmos file I was using in the lesson.

Thursday Nov 21:  work/ask questions time for the 2.6 #1-10,12 assignment in the Unit C Assignment Book and this Chain Rule worksheet that I handed out today (the file link has an answer key at the end).  Enjoy your weekend!

Wednesday Nov 20:   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.  

Tuesday Nov 19:  I gave the class a work/ask questions period for the 2.6 #1-5,7-10,12 assignment in the  Unit C Assignment Book.  If you are looking for more practice, go to page 12 and do 5.2 #1-3, or go back to the Chapter 2 Derivatives workbooklet and do 2.8 #1 e, g, #2c,d, #4,5

Monday Nov 18:  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.  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 15:  we went through lesson 2, Chain Rule in the Unit C: Chain Rule and Implicit Differentiation Notebook today.  Your new assignment from the Unit C Assignment Book is 2.6 page 1 #1,7-10.  For extra practice you can also go back to the Chapter 2 Derivatives workbooklet and do 2.8 #1 e, g, #2c,d, #4,5

Thursday Nov 14:  we went over a few problems from page 9 of the  Unit C Assignment Book together You can add  page 11 #16-18 to Tuesday's assignment.  Then we had some work time.

Wednesday Nov 13:  DERIVATIVES TEST 3 (2.8, 3.1, 3.2)

Tuesday Nov 12:  we started class by seeing if anyone had any questions from 2.8,3.1, or 3.2.  Test on those tomorrow.  Then we began 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. Your assignment for this lesson is #1-7 on page 9 of the Unit C Assignment Book.  

Friday Nov 8:  more work time for the assignments listed on Wednesday and Thursday's posts.  We test 2.8, 3.1, and 3.2 next Wednesday.  Have a great long weekend!

Thursday Nov 7:   I started by going through 3.1 #7 with the class.  Then it was time to work on the 2.8-3.2 assignments from the Chapter 2 Derivatives workbooklet. (see yesterday's post for the list of questions).  If you finish those and are looking for more practice, you can do some questions from page 29 #1,2 page 31 #1-4, page 33 #1-3, page 35 #9,12,17

Wednesday Nov 6:  Today's derivative application lesson covers pages 27-31 in your Unit B: Derivatives Notes Book.  This is our last lesson for unit B.  I'll do one more larger example tomorrow, then the rest of the week will be work time.  The assignments in the  Chapter 2 Derivatives workbooklet to works on are: 
2.8:  Page 11 #1 (a,b,c,d,f,h), 2(a,b), 3,6,8 and page 33 #1-3
3.1:  Page 12 #1-9 
3.2:  Page 15 #1,3(omit d),4,7,8  (the answer key in the booklet for 3.1 and 3.2 is incomplete, so here is a better scan)

Tuesday Nov 5:  After spending a few minutes going over yesterday's test, today's lesson is on higher order derivatives, covering pages 24-26 in your   Unit B: Derivatives Notes Book.  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 in the  Chapter 2 Derivatives workbooklet.  We'll test this part of the chapter next Tuesday.

MONDAY NOV 4:  2.3-2.5 TEST (BASIC RULES, PRODUCT and QUOTIENT RULES)

Thursday Oct 31-Friday Nov 1:  we had time to work on (and ask questions about):
2.3 #1-12
2.4 #1-6
2.5 #1-7 (answer key typo on #6, it should be (-5,-5) NOT (-5,5)). 
Also, on Friday, I asked for your CUSR data for the report card.  If you missed Friday's class, watch this video and send me your CUSR choices on Edsby.  If I don't hear from you by the end of class on Monday, I will just use whatever code pops into my head.

Wednesday Oct 30:  We did a quick review of the basic differentiation rules and went back to assign 2.3 #1-12 in the  Chapter 2 Derivatives workbooklet.  I'll let you have tomorrow and Friday as time to catch up on work or ask questions.  Then we'll test 2.2-2.5 on Monday.  

Tuesday Oct 29:  Today we went through two of the last three Quotient rule examples (the last two are not in your notebooklet, they are on this handout), we'll go over the last one together on Monday - try it for yourself before then.   The assignment for that section is 2.5 #1-7 in the  Chapter 2 Derivatives workbooklet.  (2.5 #6 has an answer key typo: it should read (-5,-5) NOT (-5,5)

Monday Oct 28:   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 Desmos file that I was using for the examples. If you want to work ahead, the assignment for this section is 2.5 #1-7 in the Chapter 2 Derivatives workbooklet, but we still have some more examples to finish in this section.  We'll do them tomorrow.  In the meantime, try to finish the 2.4 #1-6 assignment from last week.

Thursday Oct 24:  2.1, 2.2, and GRAPHING DERIVATIVES TEST

Wednesday Oct 23:  we started the lesson on the Product Rule for derivatives, starting on page 17 of the  Unit B: Derivatives Notes Book.  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 on Thursday we will test 2.1,2.2 and the Graphs of Derivatives Worksheets  (here is the answer key).
Tuesday Oct 22:  I handed out a page with three differentiability examples (here is the key)  that we went over.  Then we did a couple of homework problems from 2.1 and 2.2. Tonight is the last night to work on these assignments and the Graphs of Derivatives Worksheets  (here is the answer key) before we test them on Thursday.

Monday Oct 21:  just a quick little lesson on Differentiability on pages 15-16 of the Unit B: Derivatives Notes Book.   Then we had time to go over a few homework questions together.  You can now do 2.1 #3, which finishes your 2.1 assignment.  Make sure you are also done the Graphs of Derivatives Worksheets  (here is the answer key) from last week.  On Thursday, we'll test 2.1 and 2.2.

Thursday-Friday Oct 17-18:  work and ask questions periods for  2.1 #2,4-6,8-13,16 in the Chapter 2 Derivatives Workbook and the  Graphs of Derivatives Worksheets  (here is the answer key). If you finish those assignments, you can start working on 2.2 #1-4,7-10,12.

Wednesday Oct 16: we went over pages 7-13 of the Unit B: Derivatives Notes Book, finishing up our graphing lesson from yesterday and covering the lessons: Derivatives-Other Notations and Basic Derivative Rules. Again, here is  the Desmos file of the examples on pages 5-8, if you want to play with them for yourself.  For homework, keep working on  2.1 #2,4-6,8-13,16 in the Chapter 2 Derivatives Workbook, but I also handed out this Graphs of Derivatives Worksheets  (here is the answer key).  This is quite a bit of work, so I will let you have tomorrow and Friday as work/ask questions periods.  

Tuesday Oct 15:  we started Unit B: Derivatives today, with the first lesson, covering pages 2-6 in the Unit B: Derivatives Notes Book, the definition of a derivative (first principles of the derivative) and graphing derivatives.  If you want to play with the Desmos file I was using in the first three examples of the lesson, here it is.  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.  The first assignment is in the 2.1 section, page 2 #2,4-6,8,10,11,13 of the Chapter 2 Derivatives Workbook.

FRIDAY OCT 11 1.4 and 1.6 TEST

Thursday Oct 10:  work and ask questions period for 1.4 and 1.6.  Test tomorrow.

Wednesday Oct 9: After we did this Limits to Infinity Practice Sheet  together, (here is an answer key for it) we worked on Assignment 1.6  #1-5,8 and the Limits to Infinity worksheet.  If you want more practice at these, there is extra practice on page 24 #3-6.

Tuesday Oct 8:  we finished off the Limits to infinity lesson from Friday.  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 that I handed out today.  Tomorrow will be a work/ask questions class and we will test 1.4 and 1.6 on Friday.  

Friday Oct 4:   today's lesson is for Limits as x approaches infinity.  This covers pages 42-44 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 Tuesday.  If you are done the 1.4 and page 24 assignments and feel ready to start the next assignment, it is 1.6 #1-5,8  Don't panic if you get stuck, the examples we'll do on Tuesday will probably clear up your confusion.  Have a great long weekend.

Thursday Oct 3:  we did a lesson on pages 38-39 of 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.    There is no new assignment for this lesson, so you have another night to work at the 1.4 assignment #1,2,6-11 and, if you are looking for more practice, page 24 #3-6.  If you want to play with the Desmos files I used in class today, here it is: Examples 1.

Wednesday Oct 2:  We looked at one more continuity example on page 40 of the Unit A: Limits Notes Package.  This one is named Example 3 and it is a piecewise function that you are expected to determine whether or not it is continuous without having a graph to look at.  Then, of course, we graphed it.  After that it was work and ask questions time for the 1.4 Assignment in the  Chapter 1: Limits and Rates of Changes booklet. The assignment is #1,2,6-11.  If you want to play with the Desmos file I used in class today, here it is:  Example 3.

Tuesday Oct 1:  1.3 TEST

Friday Sept 27:  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) in the  Chapter 1: Limits and Rates of Changes booklet.  Reminder:  1.3 Test on Tuesday. Wednesday will be a work/help period for this assignment and the one from yesterday.

Thursday Sept 26:  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 of the  Unit A: Limits Notes PackageYou'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.  I'll give you work time for this assignment (and the one I'll assign tomorrow) on Wednesday, but if you feel ready for Tuesday'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.  Reminder that if you want more practice for Tuesday's 1.3 test, go to page 27 of the workbooklet and do #1-8 (the answer key is the "Section 3.3" part on page 32)

Wednesday Sept 25:  Today we did example 4 in the lesson on Continuity.  We're still, technically in Lesson 1.3 of your workbook, covering page 29 of the Unit A: Limits Notes Package.   Now you should be able to finish all of Exercise 1.3 #1-9 in the  Chapter 1: Limits and Rates of Changes booklet.  We'll quiz 1.3 on Tuesday.  If you want more practice, skip to page 27 of the workbooklet and do #1-8.

Tuesday Sept 24:   Today, we did a lesson on one sided limits, coving pages 23-25 in the Unit A: Limits Notes Package .  We also started the Continuity lesson on page 26-28 (it's all pretty much one lesson)  Your homework for this lesson is Exercise 1.3 #1-9 in the  Chapter 1: Limits and Rates of Changes booklet.

1.1 and 1.2 LIMITS TEST MONDAY SEPT 23

Friday Sept 20:  we went over some  questions from Exercise 1.2 #1-9,12 in the  Chapter 1: Limits and Rates of Changes booklet and the Limit Practice handout that I handed out yesterday (here is the answer key).  First Calculus test is Monday

Thursday Sept 19:  Today we go through more examples of using algebra methods to calculate limits, on pages 21-22 of the Unit A: Limits Notes Package.  Here is the video of today's class.  Your homework 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).  We'll do our first 'Calculus' test on 1.1 and 1.2 on Monday.

Wednesday Sept 18:  we moved on to pages 16-20 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 tomorrow's examples.    Here is the video of today's lesson , in case you missed the class or want to review the examples

Tuesday Sept 17: work/ask questions period for Exercise 1.1 #1-5,7-10 in the Chapter 1: Limits and Rates of Change Workbook. The answer key starts on page 16.  Here is the answer key for the "Secant Example for you to try" on page 15.

Monday Sept 16:   We finished up Examples 2 and did Example 3 on pages 12-14 of the Unit A: Limits Notes Package together.  If you missed today's class or want to see the examples again, they are on the video I linked to on Friday.  Here is the Desmos file I used for Example 2.  For homework, do the "Secant Example for you to Try" sheet on page 15 of the booklet.  You can also start work on the first work booklet assignment, which is Exercise 1.1 #1-5,7-10 in the Chapter 1: Limits and Rates of Change Workbook that I handed out today. The answer key starts on page 16.  Here is the answer key for the "Secant Example for you to try" on page 15.

Friday Sept 13:  Pre-Calculus Skill Quiz.  No real homework this weekend, but you should definitely watch the videos I posted yesterday and play with the Excel and Desmos files.  Being able to use these technologies will make next week's homework WAY easier to do.

Thursday Sept 12:  we did the lesson on pages 9-12 of the Unit A: Limits Notes Package together, making it almost all the way through example 2 of the lesson.  We'll pick it up there on Monday.  We're still not quite ready for the first homework assignment just yet.  If you want to play with the files I used in class, here is the Desmos file and here is the Excel file.  Here is 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.  

Wednesday Sept 11:  today's lesson is on this handout: Limits: An Introduction.  We looked at two very important ideas in calculus:  1) you can say that if you are infinitely close to a value, you actually have that value and 2)  you can find the size of something finite by spliting into infinite pieces and then counting them.  If you missed today's class I have a video here.  There is no new assignment for today's lesson, so if you need to finish the  Grade 11 Skills Review (here is the answer key), you have one more night.

Tuesday Sept 10:  We went over a couple of questions from #7 of the Grade 11 Skills Review booklet.  Then we looked at #9 and 10 - working with rational and radical expressions - two KEY skills for the rest of this course.  We ended with a quick review of slope and the three versions of the equations of a straight line.  Practice for both of these are in #11 and 12.  This brings us to the end of the skill review.  Tomorrow we start the CALCULUS!  If you are done the skill review booklet, your only other homework is to  watch this Professor Dave video introducing the concept of what calculus actually is - we'll discuss that more tomorrow.

Monday Sept 9:  We went through how to do the factor theorem, using pages 4-7 of the Unit A: Limits Notes Package .  Then we jumped to page 8 to learn how to factor a sum and difference of cubes. Now you can try #6 and 7 in the Grade 11 Skills Review booklet - we'll do a couple more examples tomorrow if you still find this tough

Friday September 8:  I handed out a Recap of Prior Skills page that focuses on reviewing dividing polynomials where the numerator contains the denominator as one of its factors.  This lead us to  consider how to handle a situation where the denominator ISN'T a factor of the numerator.  I also handed out our Unit A: Limits Notes Package and we went through the examples on pages 2 and 3.  You can now do everything in the Grade 11 Skills Review except for #6 and #7.  We'll do that lesson on Monday.  Here is the answer key.  We'll give you a little more long and synthetic division practice on Monday, but in the meantime, if you want to try a couple more, you can do #8,a,b, and c with these methods.

Thursday September 7: 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 Skills Review.  You can get started on this tonight (here is the answer key), but if you get stuck on a few things here and there, don't panic! - I'll be giving you some refresher hints as we go.  If you are stuck, feel free to google things like "factor theorem" or  "factoring sum of cubes" and see if you can get ahead of me.  On the other hand, it is probably fair to say, that if you sit down and find that you can't do ANY of this review on your own, you have signed up for the wrong course, and you aren't ready for Calculus right now. 


Applied Math Grade 11 SLOT 2 - Sept 2024

DESMOSCaclulator Soup (for basic MMMRand StDev)Histogram Generator (for making a histogram from a frequency table, Frequency Table Calculator (for finding MMMR and standard deviation from a frequency table)


Hi there Applied Math Students!

I have marked and recorded the last test you wrote on Thursday of last week (Chapter 5). If you want to use it tomorrow to have a look at what mistakes you made so that you don't repeat them on Wednesday's exam, you can stop by room 203 tomorrow (Tuesday) and pick it up.

I have not yet had the chance to sit down and calculate which of your Chapters was your worst and remove it from your average. I'll get to that later this week.

Also, I was thinking over the weekend that in normal, non-tech-calamity years, we would have had a class at the end of the course to work on review and students could have potentially taken a few minutes to make sure they had all necessary formulas on their study sheets.

Since we needed that last class of the semester to assess Chapter 5, I will give you this formula sheet that I have attatched to this message when you come in to write your exam on Wednesday morning.

Of course, on exam day you can still bring in a "study sheet" of paper with ANYTHING you think may help you written on it (just like you did on all of the chapter tests), but I don't want to see people lose marks for having a formula written down incorrectly, when you didn't get the chance to run your copy past me first.

See you tomorrow or Wednesday. Good luck!

Mr K.





TEXTBOOK:  Chapter 5.1Chapter 5.2Chapter 5.3Chapter 5.4Chapter 5.5Chapter 5.6Chapter 5 ReviewChapter 5 Self-Test,  Ch 6.1Ch 6.2Ch 6.3Ch 6 Mid Unit Review,  Ch 6.4Ch 6.5Ch 6.6,  Ch 6 ReviewCh 6 Self TestCh 7.1Ch 7.2Ch 7.3Ch 7.4Ch 7.5Ch 7 Mid Unit ReviewCh 7.6Ch 7.7Ch 7.8CH 7 ReviewCh 7 Self Test, ANSWER KEYS

VIDEO LESSONS:  5.1 (working with data), 5.2 part 1(using calculator soup and drawing a historgram)5.2 part 2 (using technology to make a histogram), 5.3 (standard Deviation), 5.4- Part 15.4-Part 2

HERE ARE DOWNLOADABLE EXAM REVIEW BOOKLETS.  Answer key is HERE.  MISTAKE ON THE ANSWER KEY FOR #6 should be A!  YOU CAN OMIT #15.  #28 is wrong, 0 is <4, so the shaded region should be the left.  #35 angle a is 130 not 50

Wednesday Jan 29 - 9:00 AM Room 203 FINAL EXAM

Thursday Jan 23: Chapter 5 "quiz"

Wednesday Jan 22:  I handed out ACC #2 and ACC #3 (we only did the 2nd question on ACC #2 since the first question is on the review).  If you missed class and want to try then yourself, here are the keys.  Then we went over a couple of questions from yesterday's  5.5 Assignment (here is the answer key).   Then I handed out the Chapter 5 Review to work on for the rest of the class (here is the answer key for that) .

Tuesday Jan 21:  we finished up Lesson 5.5.   I handed out a 5.5 Assignment that you can start in class and finish up tonight (here is the answer key).  

Monday Jan 20:  After a quick review of  Lesson 5.4, we started Lesson 5.5 in the Chapter 5: Statistical Reasoning Notes Booklet and had a few minutes to finish up the Chapter 6 test from Friday. 

CHAPTER 6 TEST FRIDAY JAN 17th.  If you'll recall, we were in the middle of Chapter 5.4 when our tech went ka-blooey. Over the weekend, see if you had managed to finish the 5.4 Normal Distribution Part 1 Worksheet (here is the answer key), or textbook page 251 #1,5,10,11,13,14.   Here is a Desmos file so you can avoid having to type all the data in for a couple of questions on the 5.4 Worksheet. 

Thursday Jan 16:  we went over the last two examples in the 7.8 section of the Chapter 7 Quadratics Notes Booklet.  Then we had time to work on the Review at the end of the booklet (here is the answer key)  and work on having our study sheets ready for tomorrow's test.  
NOTE:  the person who made the answer key for the review at the end of the booklet did #4 in a completely different way than I did in our examples.  It's not wrong - it is the correct solution - it's just done with an approach that we didn't use.  She used the chart and a graphing calculator without bothering to find the equation (the calculator does that for her).  Our method is to find the equation (we can ignore the chart if we want) and grpah that to find the numbers.  Here's my solution.  If you want to see how I got the numbers, here's my DESMOS file for that question.  If you want to see the way that this person got their numbers, here's another Desmos file with their solution.

Wednesday Jan 15:  we went over more of the examples in the 7.8 section of the  Chapter 7 Quadratics Notes Booklet.  I left the last two examples for you to try on your own tonight.  We'll go over them tomorrow and then let you have a review day.   If you are done all of the textbook assignments you can start working on the review assignment at the end of the booklet.

Tuesday Jan 14:   we finished up the 7.7 Lesson from the Chapter 7 Quadratics Notes Booklet - Solving Quadratic Equations Using the Quadratic Formula.  The assignment for this section is textbook page 427 #1-4,7,8,10. Then we did some 7.8 examples.  We'll do a few more tomorrow to finish up Chapter 6.

Monday Jan 13:   we started by going over a few questions from the page 391 textbook assignment.  Then we did 7.1-7.3ACC (answer key is at the end of the file).   After that, did a quick lesson for Chapter 7.5, where we took another look at solving by factoring.   This particular lesson is not in the unit notes booklet, so we worked off of loose leaf.  The assignment for this section is textbook page 405 #1-4.  Since that lesson is pretty short (and we'd seen some of it already) we continued into Lesson 7.7 in the Chapter 7 Quadratics Notes Booklet - Solving Quadratic Equations Using the Quadratic Formula.  I left the last three examples of the lesson for you to try, we'll go over them tomorrow.   The assignment for this section is textbook page 427 #1-4,7,8,10.   

Friday Jan 10:  we finished up the examples in the 7.4 lesson (again, it should say that it is 7.6) in the  Chapter 7 Quadratics Notes Booklet.  Then we had work time for textbook page 391 #1-5, 8,9,11,13 and I added page 417 #1,4,5,8,13.    If you are finished these questions, remember that you could spend some time with the  EXAM REVIEW.

Thursday Jan 9:  we went over a few questions from the page 369 assignment, then we kept going into  the 2nd half of the 7.4 lesson (it should actually say that it is the 7.6 lesson) in the Chapter 7 Quadratics Notes Booklet.  We didn't quite finish the examples, so we'll finish those up tomorrow.  The assignment is still textbook page 391 #1-5, 8,9,11,13.   You'll get some work time for that tomorrow.

Wednesday Jan 8:  we finished up the last examples in the 7.2 lesson of the Chapter 7 Quadratics Notes Booklet.    Then we did the first page of the 7.4 Lesson.  For those who are finished the page 369 assignment, the assignment for the 7.4 section is textbook page 391 #1-5, 8,9,11,13.  You can get started on it tonight, but you might need to skip a few questions until we finish up the lesson tomorrow. 

Tuesday Jan 7:  work period for textbook assignment, page 369 #1-15. 

Monday Jan 6:  Welcome back!  We started by going over a few questions from the  textbook page 360 #1-3,5,6 assignment.  Then we went through Lesson 7.2, pages 6-10 in the Chapter 7 Quadratics Notes Booklet.  You can now do textbook assignment, page 369 #1-15.  I'll let you have tomorrow's class as work time and save the lesson for 7.3 until Wednesday, since some of the grade 12 students will miss tomorrow's class for their Provincial ELA exam.

Friday Dec 20:  just listening to X-Mas music while we have some work time for the assignment that goes with yesterday's lesson:  textbook page 360 #1-3,5,6.   Normally, I send home an exam review over the X-mas break that students can work on if they want.  This year, due to not having access to printing until just a couple of days ago, there is no way to get you a hard copy of it, but if you look directly above this post, you can find a link to a downloadable version of it.  Note that there are a few answer key errors listed.  Have a great break!  See you in the new year on Jan 6th!

Thursday Dec 19:  After we went over the  skill refresher I handed out the Chapter 7 Quadratics Notes Booklet and we went through Lesson 7.1.  Here is the video of the lesson - if you missed today's class. Here is the link to the video clip we watched in class, a very cool application of parabolas - blob jumping (here's the world record)!

Wednesday Dec 18:  Chapter 6 test.  If you finish with time to spare, I handed out  this skill refresher to sharpen some of the skills form grade 9 and 10 that we'll need in Chapter 7 unit (here is the key).

Tuesday Dec 17:  we did 6.4 ACC (the file here has a key so you can try it and correct it yourself if you missed class),  then we went over a couple of the problems from the  6.4-6.6 Homework Assignment (here is the answer key).   Chapter 6 test tomorrow.  If you are looking for some last minute review, you can try the Ch 6 Self Test on page 347 and the  Ch 6 Review on page 349.  Before you leave class today, get your study sheet ready for tomorrow.

Monday Dec 16:  we went over some of the page 330 and 344 problems together.  Then we finished up with some time to work on the 6.4-6.6 Homework Assignment (here is the answer key).  We test on Wednesday.

Friday Dec 13:  work period for textbook Page 330 #1,2,5 and page 344 #11-14.   If you finish those, you can start on this 6.4-6.6 Homework Assignment (here is the answer key).  We test next week, Wednesday.

Thursday Dec 12:   we went through lesson 6.4-6.6, pages 14-17 of the  Ch 6: Systems of Linear Inequalities Notes Booklet The textbook assignment for this lesson is Page 330 #1,2,5 and page 344 #11-14.  You will get tomorrow as a work class for this assignment.

Wednesday Dec 11:  we went over a few of the homework problems from page 317.  Then we did a  6.2 ACC (the file link has the answer key at the end if you missed class and want to try it for yourself).  Then we had time to work on textbook page 323 #1,2,4,7 - you may use DESMOS for all of these and just sketch the result in your notebook to answer the problems.

Tuesday Dec 10:  we finished up the rest of the examples in  the 6.2-6.3 lesson on pages 11-13 of the Ch 6: Systems of Linear Inequalities Notes BookletThe assignment for this section is textbook page 317 #1-2 (use paper and pencil) and # 3,5-8,10 (use technology).

Monday Dec 9:  First we checked in to see if anyone had any questions about textbook page 303.  Then we did  a 6.1 ACC (here is the solution).  After that, we started going through the 6.2-6.3 lesson on pages 9-10 of the Ch 6: Systems of Linear Inequalities Notes BookletThe assignment for this section is textbook page 317 #1-2 (use paper and pencil).  If you want to try to work ahead, after tomorrow's lesson you will be able to do # 3,5-7 (use technology). 

Friday Dec 6:  we reviewed the grade 10 skill of solving 2 equations and 2 unknowns using a graph for a few minutes, then we had time to work on textbook page 303 #1-12.  For numbers 1-6 use graph paper and pencil to create your graphs.  For #7-12, you can use technology (DESMOSto graph, then just sketch the result. 

Thursday Dec 5:  it looks like we will be without internet for a while yet, so we will continue into Chapter 6.  Today I let the class have time to work on page 303 #1-12.  For numbers 1-6 use graph paper and pencil to create your graphs.  For #7-12, you can use technology (DESMOSto graph, then just sketch the result. 

Wednesday Dec 4:  Day 3 of the internet/network freeze.  We finished up the 6.1 Lesson in the Ch 6: Systems of Linear Inequalities Notes Booklet.  If the network is back up and running tomorrow, we'll go back to Chapter 5 and save the rest of Chapter 6 for after we write the Chapter 5 test.  If the network is still down tomorrow, I'll give you a Chapter 6.1 textbook assignment.  You should be bringing graph paper to class from here on in.  

Tuesday Dec 3:  Day 2 of the internet/network freeze, so we continued into lesson 6.1 in the Ch 6: Systems of Linear Inequalities Notes Booklet.  We still aren't finished the 6.1 Lesson, so no homework for Chapter 6 until tomorrow.  One last reminder: the 5.1-5.3 Practice Booklet HAND IN  - IS NOW 2 DAYS LATE (you are losing 10% per day here - get it done!).  You should be bringing graph paper to class from here on in. For fun:  if you want another (animated!) version of the Infinity Hotel (a.k.a the Hilbert Hotel) story that I told you today, 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).

Monday Dec 2:  so...since we are without internet for today (perhaps longer) we will put Chapter 5 on hold and use the time to start Chapter 6.  We spent a few minutes reviewing some grades 8-10 graphing rules, then we started the notes and examples for lesson 6.1, pages 1 in the Ch 6: Systems of Linear Inequalities Notes Booklet.  No Chapter 6 homework yet, but some of you can use tonight to finish up the 5.1-5.3 Practice Booklet HAND IN  - WHICH IS NOW LATE (you are losing 10% per day here - get it done!). 

Thursday Nov 28: I went over a couple of problems from the 5.4 Normal Distribution Part 1 Worksheet (here is the answer key).  Then we did this ACC #1 as a practice quiz (here is the key if you missed class and want to try it yourself).  Then I gave the class work time for any of the following:   finish up the 5.1-5.3 Practice Booklet  (HAND IN BY MONDAY), the 5.4 Normal Distribution Part 1 Worksheet (here is the answer key). textbook page 251 #1,5,10,11,13,14. (NOTE: any place in the textbook that it asks for a "frequency polygon", just make a histogram), and the 5.4 worksheet #2 (here is the answer key and here is the Desmos file so you can avoid having to type all the data in).

Wednesday Nov 27:  after going over a couple of homework questions from textbook page 233, we did the second part of the 5.4 Lesson (part 2) in the  Chapter 5: Statistical Reasoning Notes Booklet.  Then we had time to work on any of the following: the  5.1-5.3 Practice Booklet (HAND IN MONDAY), the 5.4 Normal Distribution Part 1 Worksheet (here is the answer key),  and finally the sheet I handed out today: the 5.4 worksheet #2 (here is the answer key and here is the Desmos file so you can avoid having to type all the data in).  If you finish that too, you can work on textbook page 251 #1,5,6,10,11,13,14.  NOTE: any place in the textbook that it asks for a "frequency polygon", just make a histogram.

Tuesday Nov 26:  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.    If you are ready to move on from the  5.1-5.3 Practice Booklet (HAND IN NEXT MONDAY) that I handed out yesterday, 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 25:  First, we discussed textbook page 222 #3-5 (here is the Demos file for #3), then we watched  this video that shows how to calculate standard deviation.  Then we picked up lesson 5.3 in the Chapter 5 Radicals Notes booklet at Example 3.  This Desmos file has the data for the first part of the example, but we used the Frequency Table Calculator to do the example more efficiently.  The textbook practice for the 5.3 Lesson, which is page 233 #2,5,7,8,14 (try doing #2 with just a table and a regular calculator, so that you are practiced at this for the test)I also handed out the 5.1-5.3 Practice Booklet .  It should be HANDED IN by MONDAY.  NOTE:  on the hand in assignment, some of the questions say that the data is a SAMPLE.  This means that you use the standart deviation formula that is used for a sample and not for the entire population (on Desmos, "stdevp" is for a population and "stdev" is for a sample.

Thursday Nov 21:  you have the weekend to work on the assignment from yesterday (page 222 #3-5), but in class today, we keep going into Lesson 5.3 in our Chapter 5 Radicals Notes booklet.  Here is the Desmos file I was using for the lesson.  We watched this video for a very nice description of the meaning of standard deviation.  We didn't quite finish the 5.3 examples, so we'll pick it up at Example 3 on Monday.  If you finish the questions from page 222 and you want to work ahead, on Monday I'll assign the textbook practice for the 5.3 Lesson, which is page 233 #2,5,7,8,14. 

Wednesday Nov 20:  we continued with the "Potter's Class" Example in the 5.2 Lesson in the Chapter 5: Statistical Reasoning Notes Booklet.  Today, we'll take the "Potter's Class" example that we graphed by hand in yesterday's class and graph it using technology.  We used this ap at the online Histogram Generator to graph it from our frequency chart (this ap was not part of my original notes booklet, so I handed out this page to add to your notes booklet), then we used a different Histogram Generator to graph it from the raw data (this one didn't work for a lot of people), as well as Desmos.  To save some data entry time on the last example, here is the Desmos file that I used.   The assignment for this chapter is textbook page 222 #3-5.   

Tuesday Nov 19: after a brief discussion on the page 211 questions from yesterday, 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 using the grid on page 10 of the notes booklet .  We'll continue from there tomorrow.   

Monday Nov 18:  we went through the car battery example on page 5 of the Chapter 5: Statistical Reasoning Notes Booklet.  Then we had time to work on textbook page 211 #1b,d, 2,3.  If you finish those, you can work on the  Mean, Median, Mode, and Range Deductive Reasoning Problems worksheet that I handed out after the test on Friday.

FRIDAY NOV 15:  CHAPTER 4 TEST.  If you finish with time to spare, I handed out a Mean, Median, Mode, and Range Deductive Reasoning Problems worksheet that you could try.  If you finish that and want to work ahead, the assignment for the lesson we did yesterday is textbook page 211 #1b,d, 2,3 - you should be done those for Tuesday. 

Thursday Nov 14:  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 discuss the final example about the car batteries, so I told the class to do the data entry themselves and we'll 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 online Statistics Calculator we used in class is this one here at Calculator Soup.

Wednesday Nov 13:  we went over a couple of textbook page 183 #1-4,6-9,12,13,17 problems together.  Then I assigned page 194 #3,5,6,8,9,10,16.  If you finish those in class with time to spare, you can start on the  Chapter 4 Self-Test on page 198, if you finish that and feel that you need more review, there is the  Chapter 4 Review on pages 199-200.  We'll start chapter 5 tomorrow and we'll test Chapter 4 on Friday.

Tuesday Nov 12:  we went over a couple of questions from page 13 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet then some time was given to finish textbook page 183 #4,6-9,12,13,17.   If you finished that, you can start on page 194 #3,5,6,8,9,10,16.   We'll be testing Chapter 4 on Friday.

Friday Nov 8:  we lose this class to the Rememberance Day Ceremony.  I think the ceremony will take the entire period, but if I'm wrong about that, you can just keep working on page 13 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet and textbook page 183 #1-4,6-9,12,13,17.

Thursday Nov 7:   we went over the two example problems on page 15 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet (if you want to check your answers here is a key).  Then had time to work on page 13 of the notes and textbook page 183 #1-4,6-9,12,13,17.  

Wednesday Nov 6:  We went over the solutions to the 4.2 ACC from yesterday.  If you missed class today and want to try it for yourself, here is the key. Then we continued into part 2 of the 4.3 lesson on pages 11,12 and 9 of the  Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet (the pages are in the wrong order).  Then I gave the rest of the class to work on the problems on page 13 of the booklet (here is the answer key) and textbook page 183 #1-4,6-9,12,13,17. .   If you want to see a different explanation of this topic check out this video.  If you missed today's class you can find a link to a lesson video above the updates.  

Tuesday Nov 5:  we started with a check in to see if anyone was stuck on any of the page 172 problems.   Then we went through the first part of the 4.3 lesson on pages 7-8 of the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet.  We'll finish the lesson tomorrow.  Then we did this 4.2 ACC, which we will correct together tomorrow.  Anyone who finishes the ACC can start on textbook page 183 #1-4, I'll add to that assignment after tomorrow's part 2 of the 4.3 lesson.  If you missed today's class you can find a link to a lesson video above the updates.  CHECK OUT THE VERY IMPORTANT ANNOUNCEMENT ON THE EDSBY PAGE.  It concerns this letter that I sent home today.

Monday Nov 4:  we started with checking in to see if anyone needed help with any of the questions on the More 4.1 Practice worksheet (here is the answer key).  Then we did this 4.1 ACC (if you missed class and want to try it for yourself, here is the key).  Then we had a little more time to work on textbook page 172 #3-15. We will do a practice quiz on those questions tomorrow.

Friday Nov 1:  we went over a few questions from the 4.1 textbook assignment.  For more practice on this topic I handed out a  More 4.1 Practice worksheet (here is the answer key).  Then we went through lesson 4.2 in our Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet.  The homework for this section is textbook page 172 #3-15.  This, together with the 4.1 practice is a fair bit of work, so I will give you some time on Monday (but not much).   Also, on Friday, I asked for your CUSR data for the report card.  If you missed Friday's class, watch this video and send me your CUSR choices on Edsby.  If I don't hear from you by the end of class on Monday, I will just use whatever code pops into my head.

Thursday Oct 31:  we went over the rest of the 4.1 examples in the Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet.  If anyone still needs  the key for the 4.1 lesson page (the chart) here it is.  Then we had time to work on textbook page 163 #1-3.  We ended with a video with another explanation of why sin, cos and tan are functions of circles in this video.  

Wednesday Oct 30:  we went over the last question from Monday's Congruent Triangle Activity.   Then we went through most of lesson 4.1 in our Chapter 4: Trig Ratios of Obtuse Triangles Notes booklet.  I  left some of the examples on the last page of the lesson for you to try tonight.  We'll go over them tomorrow.  If you are ready to move on, the homework for this section is textbook page163 #1-3.  I'll assign it officially tomorrow.  If you want to play with the interactive unit circle for yourself, here is the link.  

Tuesday Oct 29:  Chapter 3 Test - if you finish with some time to spare, you can try the last diagram in yesterday's  Congruent Triangle Activity.  If you still need something to do 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.  

Monday Oct 28:  we did  the Congruent Triangle Activity.  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.  No new homework for this activity besides the question I left you with at the end of the activity (the last diagram in the booklet and the question of AAA or AAS). 

Thursday Oct 24:  we went over a few problems from the page 147 assignment from yesterday.  Then we had time to work on some review for next Tuesday's Chapter 3 test:  textbook pages 152 and 154.  I also encouraged the class to take some time this period to work on the study sheet that they are allowed to bring in to the test.

Wednesday Oct 23:  we went over #10 on page 11, the last example of Lesson 3.4 in the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet.  Then we went over a couple of questions from the Bearing Problem Practice page.  After that, students had work time for textbook page 147 #3-5,8-10.  

Tuesday Oct 22:  we started with a 3.3 ACC (Cosine Law) ( the file has a key).  Once again, if you can't do these questions, you are not keeping up with the pace of the course.  Then we did pages 9-11, Lesson 3.4 in the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet.   Today's homework is to finish #10 on page 11 of the notes.  Also, you can keep working on the Bearing Problem Practice page.  If you want to work on the next assignment, it is page 147 #3-5,8-10.  You will get some work time for that tomorrow.

Monday Oct 21:  we started with a 3.2 ACC ( Acute Sine Law) ( the file has a key).  If you couldn't do these questions, you need to go back and catch up on homework or you will likely fail the next test.  Then we went over the last 3.3 example on page 8 of your  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. With the last few minutes, we went over some questions from the textbook page 137 assignment together.  For tonight, see if you can do more of the  Bearing Problem Practice page.   We'll go over a few of those on Wednesday.  

Friday Oct 18:  work period for textbook page 137 #2-5, 7,8,10,13,15.   If you finish all of that (and you are looking for a challenge) my guest teacher handed out this Bearing Problem Practice page.  I'll assign it officially next week.  Have a great weekend.

Thursday Oct 17:  we went over a couple of the homework questions from textbook page 124.  Then we went through 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 and do the examples in the booklet.  The 3.3 assignment is page 137 #2-5, 7,8,10,13,15.  I'll let you have tomorrow as a work period for it.

Wednesday Oct 16:  we had time to work on the assignment from yesterday,  textbook page 124 #2-17.  If you don't finish it in class, then you have some homework to do.  Then, before the end of class, we had a quick review of some algebra and bedmas topics that will come in handy for tomorrow's lesson.

Tuesday Oct 15:  we finished up the examples from the 3.2 lesson in the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet we also did #9 from page 126 of your textbook together.   I also handed back the Chapter 2 test and we discussed it a bit.  The full assignment for lesson 3.2 is:  textbook page 124 #2-17.  I'll give you work time tomorrow.  

Friday Oct 11:  We wrapped up our discussion of the page 114  problem from yesterday.  Then we went over a couple of questions on the Right Angle Trigonometry Review booklet. Then we started the first lesson in our new Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet.  It was missing this page, so I handed it out seperately.  We derived the formula for the SINE LAW and learned how to use it.  Your homework for this part of the lesson is textbook page 124 #2-5.  You'll get some work time on Tuesday, but I will be adding more to the assignment when we finish the lesson.

Thursday Oct 10:  we finished up the lesson handout from Tuesday's class, then we had some time to work on the Right Angle Trigonometry Review booklet.  The answer key for the review booklet is at the front of this file.  We ended class by using a scale diagram to try to solve the problem on page 114 of the textbook together.  

Wednesday Oct 9:  Chapter 2 test.  If you finish with time to spare, work on the Right Angle Trigonometry Review booklet that I handed out yesterday.  The answer key for it is at the front of this file.

Tuesday Oct 8: we went over some problems on the 2.1-2.3 Review  (here is the answer key), the 2.4 Review and the Chapter 2 review.  Then we ended class by starting a SOHCAHTOA review using this lesson handout and I handed out this Right Angle Trigonometry Review booklet for you to work on if you finish the test early tomorrow.  Bring a protractor to Friday's class if you have one.

Friday Oct 4:  We checked to see if anyone had any problems with the textbook assignment from yesterday.  Then we did a quick overview of the chapter together and I dropped the news that you can bring a piece of paper with ANYTHING you want on it to the test next week.  Reminder that you have a 2.1-2.3 Review  (here is the answer key)  and the 2.4 Review (here is the keyto work on.  I also handed out this Chapter 2 review for you to work on over the weekend (OMIT #17-21,30,32 - these are Chapter 3 questions).  On Tuesday, we'll go over any problems you may have had on these reviews.  If you want even more review for next week's test, go to the textbook's  Chapter 2 Self-test and Chapter 2: Chapter Review.  

Thursday Oct 3:  We finished the 2.4 lesson in the Chapter 2: Properties of Angles and Triangles Notes Package.  The assignment for that is textbook page 99 #1-3,6,7.  This assignment isn't very big, you should be done it for tomorrow. Then we watched this video.  If you finish the page 99 assignment, I handed out a 2.1-2.3 Review  (here is the answer key) and a  2.4 Review (here is the key) for you to work on.  The Chapter 2 Test will be Tuesday.

Wednesday Oct 2:  We started class by going over a few homework questions from the textbook page 90 assignment,  then we did a mini-quiz (ACC) for 2.3.  Then we started the 2.4 lesson on pages 19-20 of the Chapter 2: Properties of Angles and Triangles Notes Package.   We'll finish the lesson tomorrow.  No new homework tonight, but now that you have seen how we should be doing the "prove" questions, you may want to re-try some of the 2.4 homework from yesterday.   We'll use Friday as a review day and test Chapter 2 on Tuesday.

Tuesday Oct 1:  we finished the 2.3 examples on pages 17-18 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.  If anyone finished that, they can work on the  2.1 and 2.2 Practice Booklet to work on for the rest of the period   (here is the answer key).  If anyone is finished both of these things, I will give them a 2.1-2.3 Review (here is the key for that)  to work on. 

Friday Sept 27: started by going over a few problems from textbook pages 72 and 78.  Then we did 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 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 on Tuesday, but if you want to get started on the next assignment, it's textbook page 90 #2-5,7,10,13,14,15.  If the practice quiz didn't go so well for you, spend some time this weekend reviewing the XFZC theorems!

Thursday Sept 26:  work time for Textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20.  If you finish that, I handed out 2.1 and 2.2 Practice Booklet to work on for the rest of the period   (here is the answer key). 

Wednesday Sept 25:  we finished up the notes on the 2.1 and 2.2 Lesson in the Chapter 2: Properties of Angles and Triangles Notes Package.  Then we had a little time to work on Textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20.  I'll give the class more time tomorrow.

Tuesday Sept 24:  Chapter 1 test today.  If you finish with time to spare, you can work on your measuring skills on the pages we skipped in yesterday's lesson in the Chapter 2: Properties of Angles and Triangles Notes Package 

Monday Sept 23:  we spent a few minutes going through questions from the review booklet.  Then we started Chapter 2.  We did some examples in the introductory section, pages 2-8 in the Chapter 2: Properties of Angles and Triangles Notes Package together.  You can finish the rest of the examples that we didn't get to in class tomorrow (after the test), or on your own.  Then we started notes for lessons 2.1 and 2.2, on page 10.  If you missed today's lesson, the filled in version of the notes package is here.  We'll pick up where we left off on Wednesday, since we are testing Chapter 1 tomorrow.  

Friday Sept 20:  Another day, another SET GAME.  Then I went over the last three examples in the Chapter 1 Notes Package and a few problems from the page 43 and 49 assignment from yesterday.  To help you get ready for Tuesday's first test,  I handed out a review booklet.  Here is a solutions/answer key for everything after the 1.1 section (which has its own key in the booklet).  

Thursday Sept 19:  Thursday Sept 19:  Another day, another SET GAME.  I also explained how to do Sudokus and the premise of the Tax Collector problem.  Then we finished up the examples from 1.6 in the Chapter 1 Notes Package, but I left the last three for you to try - we'll go over them tomorrow.  The next assignment is textbook page 43 #5,6 and page 49 #2-4,6-11,14.  If you need a little break from the textbook questions, I handed out a practice Sudoku, (here is the key), and the 5-Triangle Puzzle, or the Logic Problem (here is the key), or  the Tax Collector problem (here is the solution).

Wednesday Sept 18:  After today's SET GAME, we solved this problem from yesterday.  Then we did some examples from section 1.6 in the Chapter 1 Notes Package.  We'll finish that lesson up tomorrow.

Tuesday Sept 17:  We played another round of  the SET GAME.  We figured out how this webpage is "reading your mind".  Then we finished off the Lesson 1.5 examples on page 15 in the Chapter 1 Notes Package.  Then we had time to work on textbook page 31 #1-5,7-15 and page 42 #2,3,5,7,9,10.  In addition to the assignment, I want you to try to figure out what is going on here  (if that link does not work for you, here it is on YouTube). 

Monday Sept 16:  we started by showing people how to play the SET GAME.  Then we finished up lessons 1.4 in the Chapter 1 Notes Package, and then we started looking at Lesson 1.5.  The new assignment is textbook page 31 #1-5,7-15 and page 42 #2,3,5,7,9,10.  This is a larger assignment, so I'll give you time tomorrow to work on it after we finish up Lesson 1.5.  

Friday Sept 13:  we went over textbook page 17 #2 and page 22 #1,3,4.  Then we started the 1.4  notes in the Chapter 1 Notes Package.  We didn't quite make it to the end of the lesson, so no homework tonight.  Did anyone figure out how this webpage is "reading your mind"?  We'll talk about that Monday.

Thursday Sept 12.  We started by going over the last example for section 1.2 (on page 7) and then we went through the notes for section 1.3 in the Chapter 1 Notes Package.  The assignment for this section is textbook page 17 #2 and page 22 #1,3,4.  I gave the class time to work on these.  We'll talk about them tomorrow. See if you can figure out how this webpage is "reading your mind"

Wednesday Sept 11:  we started by going through the textbook assignment from yesterday:  page 13 #2,8,9,11.  Then we solved the chord/circle/region problem on page 5 of the notes.  Then we defined "Deductive Reasoining" and I told a couple of historical stories about this kind of math thinking.  We started the notes for lesson 1.2 in the Chapter 1 Notes Package, but didn't quite finish.  For tonight, see if you can come up with a conjecture for the last 1.2 example at the top of page 7.

Tuesday Sept 10:  we started with a discussion of  8^x vs 9^(x-1) problem from yesterday.  What was your conjecture?  Then we started the notes for lesson 1.1 of our Chapter 1 Notes Package.  Your first real assignment is: try to come up with a conjecture for the chord/circle/region problem on page 5 of the notes and then do textbook page 13 #2,8,9,11.   You should finish these questions for tomorrow.  If you want to learn more about the climb to a prime game from yesterday, here is a video with a professional mathematician talking about it. 

Monday Sept 9:  We started by seeing if anyone was still stuck on anything from the grade 10 (and earlier) skill review package (here is the ANSWER KEY).  Then we looked a little closer a the HOTPO game from last week, which we will now call the Collatz Conjecture.  Then we played the climb to a prime game, which leads to conjectures. 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.  The "climb to a prime" game explains why 13 532 385 396 179 is Mr K's favourite number.  After all that fun, we ended with this problem that I want you to ponder for tomorrow:  is 8^x always going to be larger than 9^(x-1) for ANY value of x?

Friday Sept 6:  I gave some hints for solving the questions on the grade 10 (and earlier) skill review package.  On Monday, we'll wrap up any other problems you may be having with it, so try to have all of its questions attempted by then.  Then we went back to the HOTPO game from yesterday.  Your only homework for the weekend is to finish the grade 10 (and earlier) skill review package.  Here is the ANSWER KEY.  If anyone wants to use the HOTPO online calculator that I was using in class, here is the link.  If anyone who is also taking computer science wants to have a try at coding a program to calculate it yourself, let me know! 

Thursday September 5:  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 and finish looking at it on Monday.  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.  Beyond that all we did today is talk about some of our favourite numbers and played a little round of HOTPO.  For tomorrow, be prepared to come in with your favourite two-digit number and we'll spend a little more time with that game.

TEXTBOOK:  Chapter 1.1Chapter 1.2Chapter 1.3Chapter 1.4Chapter 1.5Chapter 1.6Chapter 1.7Chapter 2.1Chapter 2.2Chapter 2.3Chapter 2.4Chapter 3 Getting StartedChapter 3.1Chapter 3.2Chapter 3.3Chapter 3.4Chapter 3 ReviewChapter 3 Self-TestChapter 4.1Chapter 4.2Chapter 4.3Chapter 4.4,  Chapter 4 Self-TestChapter 4 Review

CHAPTER 3 & 4 VIDEO LESSONS:  Deriving the Sine Law,  Using the Sine Law (examples)Deriving the Cosine LawUsing the Cosine Law (examples)Lesson 3.4-word Problems4.1 - 4.2 Trig of Obtuse Angles4.3 Part 14.3 Part 2