Wednesday June 11 - Thursday June 12: Unit D Test. It has been an honour and a privilege to have been the teacher tasked with introducing you to calculus. Good luck on all of your exams and good luck next year in MPC40SH and CALCAB!
Tuesday June 10: we went over #12 on the 5.5 assignment in the Chapter D - Curve Sketching Workbook. Then we had time to work on the worksheet similar to the 5.5 assignment that I handed out on Friday. We also did our CUSR data for the report card. If you missed today's class, watch this video and send me your CUSR choices on Edsby. If I don't hear from you by the end of the week, I will just use either the same letters as the last report card or whatever letters pop into my head. Test tomorrow and Thursday.
Monday June 9: we went over the challenge questions sheet that I handed out on Friday. I would say that #1 is very similar to a couple of the questions on Wednesday/Thursday's tests. The rest are a little bit more complicated that what we'd test you on. Tomorrow, we'll go over #12 from assignment is 5.5 #1-12 in the Chapter D - Curve Sketching Workbook together.
Friday Jun 6: we went over a couple of the 5.5 #1-11 questions together. I handed out this worksheet similar to the 5.5 assignment to work on this weekend, as well as this page of challenge questions. We'll use Monday's class to go over the challenge questions sheet and have Tuesday's class to work on the worksheet similar to the 5.5 assignment. Then we test on Wedensday and Thursday.
Thursday June 5: work time for 5.5 #1-11
Wednesday June 4: we went over the second example in the Putting It All Together booklet. If you missed today or yesterday's classes, here is the key, so you can try going through these examples yourself. The assignment is 5.5 #1-12 in the Chapter D - Curve Sketching Workbook. I'll let you use tomorrow as a work period.
Tuesday June 3: I handed out this Putting It All Together booklet and we went through the first example today - we'll go over the second one tomorrow, so feel free to try it yourself tonight and see if you get the same thing we'll get tomorrow. The next assignment is 5.5 #1-12 in the Chapter D - Curve Sketching Workbook.
Monday June 2: We went through the Odd and Even Funtion Lesson on page 24 of the Unit D - Curve Sketching Notes Booklet. This one doesn't have an assignment, so keep working on 5.4 #1-3 in the Chapter D - Curve Sketching Workbook.
Friday May 30: work period to catch up on 5.3 #1-3 and 5.4 #1-3 in the Chapter D - Curve Sketching Workbook.
Thursday May 29: we did the "Second Derivative Test" lesson, pages 18-19 in the Unit D - Curve Sketching Notes. The assignment for this lesson is 5.4 #1-3 in the Chapter D - Curve Sketching Workbook.
Wednesday May 28:We went back to the 2nd example of the Concavity: More Examples lesson on page 11 of the Unit D - Curve Sketching Notes Booklet. Then we continued on to the example on pages 16-17. The assignment for this section is still 5.3 #1-3
Tuesday May 27: went through "Concavity and Points of Inflection" lesson on pages 12-14 of the Unit D - Curve Sketching Notes Booklet, and then back to examples 1 and 2 in on the page that reads, "Concavity" More Examples" on pages 10 and 11 (the booklet has pages in the wrong order). We started Example 2 on page 11 - you can try to finish it for tomorrow's class. The assignment for this section is 5.3 #1-3 (page 10) of the Chapter D - Curve Sketching Workbook
Monday May 26: We corrected the three limit review examples at the bottom of page 23 (the "Horizontal Asymptote lesson) in the Unit D - Curve Sketching Notes Booklet, then we expanded the first of those examples to include all of the skills we have learned so far this chapter, so that we could sketch a graph of it.
Friday May 23: work period for you to do the three limit examples on the bottom of page 23 (the "Horizontal Asymptote lesson) in the Unit D - Curve Sketching Notes Booklet and 5.1 #1-4 and 5.2 #1-3 in the Chapter D - Curve Sketching Workbook.
Thursday May 22: 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. You will have tomorrow as a work period.
Wednesday May 21: I supplemented the notes booklet with the handout, First Derivative Test More Examples and we went through those examples today. The assignments are still 4.1 #1-5, 4.2 #1-7 and in 4.3 it is now #1-4 in the Chapter D - Curve Sketching Workbook. Here is the Desmos file I used in class today. If you missed today's class, here is the lesson video.
Tuesday May 20: 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. If you missed today's class, here is a lesson video.
Friday May 16: we went through part 2 of Lesson 2 in the Unit D - Curve Sketching Notes Booklet. Then we went over how to do 4.1 #4g and h and #5. You can now work on all of 4.2 #1-7 in the Chapter D - Curve Sketching Workbook. Band Trippers, here is today's lesson video.
Thursday May 15: we went through part 1 of lesson 2: Maximum and Minimum Values, Fermat's Theorem, and Critical Values, which is pages 4-6 in the Unit D - Curve Sketching Notes Booklet. You can keep working on 4.1 #1-5 and if you are ready to move on, you can try 4.2 #1-7 in the Unit D - Curve Sketching Workbook. Band Trippers: here is the lesson video.
Wednesday May 14: I handed out the Unit D - Curve Sketching Notes Booklet. We started with Lesson 1, Increasing and Decreasing Functions, pages 2-3 Your assignment for Lesson 1 is 4.1 #1-5 in the Unit D - Curve Sketching Workbook. For all you band trippers, today's lesson is this video.
Tuesday May 13: Related Rates Test
Monday May 12: we went over a few of the related rates worksheet problems together. Test tomorrow.
Friday May 9: work period for the related rates worksheet. Reminder that the file here has full solutions. Band students will test this on Monday. Everyone else we test Related Rates on Tuesday.
Thursday May 8: we started by re-doing Example 4 on page 27 of the Unit C: Chain Rule and Implicit Differentiation Notebook, using a slightly different technique from yesterday. Then we finished example 5 on the next couple of pages. Here are animations of filling the cone: #1, #2, and #3. Here's an animation of problem #5. Now can now do the related rates worksheet that I handed out yesterday. The file here has full solutions. I'll let you have tomorrow as a work period for that.
Wednesday May 7: we started the lesson on Related Rates today, going through Examples 0-4 on pages 22-28 of 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 pond ripple (and here is a video of the phenomenon in real life), and here is the falling ladder, here is the expanding rectangle, I'll finish up example #5 tomorrow, then hand out a couple of worksheets. No new assignment yet.
IMPLICIT DIFFERENTIATION TEST TUESDAY MAY 6th
Monday May 5: work/ ask questions time for 2.7 #1-7 and page 14 #2-7 in the Unit C Assignment Book and the Implicit Differentiation Worksheet. We went through the infamous #6 from 2.7. We test tomorrow.
Friday May 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 also handed out an Implicit Differentiation Worksheet for more practice if you are ready to move on. I'll give you some class time on Monday to work. Here is the Desmos file of today's graphs if you want to play with them for yourself.
Thursday May 1: today was the 2nd part of the Implicit Differentiation lesson as we finished up the last example on page 18 and did this example off the board (here is its Desmos file). The homework for this lesson is 2.7 #1-7, page 14 of the Unit C Assignment Book.
Wednesday April 30: today we introduced Implicit Differentiation, 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. 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). For homework, I gave you a 'part b" on the last example we did to ponder - we'll go over it tomorrow. Also, you can now get started on the next assignment: 2.7 #1-7of the Unit C Assignment Book. You'll have a couple of days to get that done.
Tuesday April 29: we did the lesson on pages 13-17 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). We need to do tomorrow's lesson before you can tackle most of the homework for this section, but tonight you can do page 14 #1 part i and #6 of the Unit C Assignment Book. Here is the Desmos file I was using in the lesson. If you missed today's lesson, here is the video file.
CHAIN RULE TEST (2.6) MONDAY APRIL 27
Friday April 25: this was another work/ask questions period for the 2.6 #1-10,12 assignment in the Unit C Assignment Book and the Chain Rule worksheet. If anyone is done all of that and they are looking for more chain rule practice to prepare for Monday's test, I handed out this Extra Practice page (here is a solution file).
Thursday April 24: we lose this class to the Career Fair
Wednesday April 23: 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).
Tuesday April 22: 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.
Monday April 21: 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 Thursday's assignment: #2-5,12.
Thursday April 17: 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
Wednesday April 16: 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, 16-18 on pages 9 and 11 of the Unit C Assignment Book. We also spent a few minutes looking at inverse functions (not in the notes) since that pops up in the homework. For the choir students who missed the class today, here is a video of the notebooklet part of today's lesson.
Tuesday April 15: 2.8, 3.1, 3.2 test
Monday April 14: 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 last Wednesday'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. Test tomorrow.
Thurday April 10: Product and Quotient Rule test. Also, I asked for your CUSR data for the report card. If you missed today's class, watch this video and send me your CUSR choices on Edsby. If I don't hear from you by the end of the day, I will just use whatever code pops into my head. Enjoy your long weekend!
Wednesday April 9: after a check-in to see if anyone is stuck on anything for tomorrow's test (assignments 2.4 and 2.5) we went through the derivative application lesson covering 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 on Monday, then you can have work/ask questions time for the rest of class Monday and all of the class on Tuesday, before we test it next Wednesday. 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)
Again, if you want some more practice before tomorrow's test before you tackle all of the above new work, go to the back of the workbook and try page 29 #2,4,5 and page 32 #2-4.
Tuesday April 8: I was away for an appointment today, so I had my guest teacher run this higher derivatives lesson video covering pages 24-26 in your Unit B: Derivatives Notes Book. Here is the DESMOS file I was using in the video. 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. This part of the unit won't be on this Thursday's test. We'll test this part of the chapter next week.
Monday April 7: Welcome Back! Today I had to run the Fryer/Galois/Hypatia Math contests, so I had Ms. Laferty monitor the class and answer questions as they finished up 2.4 #1-6, 2.5 #1-7 (2.5 #6 has an answer key typo: it should read (-5,-5) NOT (-5,5)) in the Chapter 2 Derivatives workbooklet. So if you are one of the contest writers, you aren't missing a new lesson. If you are all done the assigned questions from 2.4 and 2.5, you can go to the back of the workbook and try page 29 #2,4,5 and page 32 #2-4.
Friday Mar 28: we went over the last quotient rule example from this handout, then we watched this cartoon and had some work time for the Chapter 2 Derivatives workbooklet assignments: 2.4 #1-6, 2.5 #1-7 (2.5 #6 has an answer key typo: it should read (-5,-5) NOT (-5,5)). Have a great spring break, everyone!
Thursday Mar 27: 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 tomorrow - 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))
Wednesday Mar 26: We went through the lesson on the Product Rule for derivatives, starting on page 17 of the Unit B: Derivatives Notes Book and getting all the way to the first three examples for Lesson 6: Quotient Law, covering pages 20-22 in the Unit B: Derivatives Notes Book. We'll finish up the Quotient law examples tomorrow, but if you want to get a start on the assignment for these two sections, go to the Chapter 2 Derivatives workbooklet and do 2.4 #1-6 and 2.5 #1-7. We still have some more examples to finish in tomorrow's class.
Tuesday March 25: TEST for 2.2, 2.3, and DIFFERENTIABILITY
Monday Mar 24: we started by seeing if anyone had any 2.2 or 2.3 homework questions, then let people have time to finish that assignment. If you are looking for more practice for the test tomorrow, go to page 26 of the workbook and try some of the 4.2 questions.
Friday Mar 21: we started by looking at the differentiability of a rational exponent function (2.1 #15), then a quick discussion on the differentiability of types of curves. After that, some work time for 2.2 #1-11 and 2.3 #1-3,6-13. We will test this material and the Differentiability lesson on Tuesday.
Thursday Mar 20: TEST for 2.1 and GRAPHING DERIVATIVES
Wednesday Mar 19: we started by going over the differentiability warm up that I handed out yesterday. Here is the key if you missed it. Then we had one last chance to ask for help with the 2.1 assignment from the Chapter 2 Derivatives workbooklet or the Graphs of Derivatives Worksheets before we test tomorrow. If you are looking for extra practice for the test, go to page 23 of the workbook and look at #2-6.
Tuesday Mar 18: After I handed out this differentiability warm up (we'll go over it tomorrow), we started by seeing if anyone had any 2.1 or Graphs of Derivatives Worksheets problems. Then we finished up the basic derivatives rules examples on page 13 and continuted into a lesson on Differentiability on pages 14-15 of the Unit B: Derivatives Notes Book. You can now do 2.1 #3 and 15, 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 the Graphing Booklet. If you are looking for extra practice for the test, go to page 23 of the workbook and look at #2-6. If you are done all that and feel ready for Thursday's test, you can get started on the 2.2 and 2.3 assignments: 2.2 #1-11 and 2.3 #1-3,6-13
Monday Mar 17: we went over pages 9-13 of the Unit B: Derivatives Notes Book, covering the lessons: Derivatives-Other Notations and most of the Basic Derivative Rules lesson. We'll finish off the lesson tomorrow, but for homework, I added #12 to the 2.1 assignment. The assignment for today's lesson from the Chapter 2 Derivatives Workbook is 2.2 #1-4,7-10,12. You can start on it tonight if you are all done the 2.1 assignment and the Graphs of Derivatives Worksheets (here is the answer key).
Thursday Mar 13: after a quick discussion of what happens when you try to find the derivative of the vertex point of y = abs(x), we went through the graphs on page 8 of the notes booklet. Then we had work and ask questions time 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 Mar 12: we went through 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 as a work/ask questions period.
Tuesday Mar 11: 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. I'll leave it for you to do the "you try" example on page 7 and we'll go over it tomorrow. 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. This assignment won't be due until Thursday, but I will be adding to it as we go.
1.4 and 1.6 TEST MONDAY MARCH 10
Friday Mar 7: work/ask questions period for the 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. Test Monday. If you are looking for extra practice, go to page 24 #3-6.
Thursday Mar 6: we did the examples on this handout together. Then we had time to work on 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet. I'll let you have time to work and ask questions tomorrow (but another worksheet is coming) and then we test on Monday.
Wednesday Mar 5: 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 then went into the examples. We'l do a few more examples tomorrow. The next assignment, it is 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet.
Tuesday Mar 4: 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 in the Chapter 1: Limits and Rates of Changes booklet 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.
Monday March 3: work/ask questions period for the 1.4 Assignment in the Chapter 1: Limits and Rates of Changes booklet #1,2,6-11. If you are already finished it and you are looking for more practice, go to Page 24 and work on #3-7
Friday Feb 27: 1.3 TEST. We'll give you a work/get help class on Monday for the 1.4 Assignment in the Chapter 1: Limits and Rates of Changes booklet #1,2,6-11. I'll give you Monday's class as work/ask questions time for that assignment and start the next new lesson on Tuesday.
Thursday Feb 26: 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.
Wednesday Feb 25: work time to either finish up 1.3 #1-9 (or the extra practice on page 27 #1-8) or to work on Exercise 1.4 #1,2, 6-11 in the Chapter 1: Limits and Rates of Changes booklet.
Tuesday Feb 24: our warm up today is another Continuity Example (the file here has a key at the end) and today's lesson 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 Friday. Tomorrow will be a work period to either finish up the 1.3 practice or to work on the new 1.4 assignment and the one from yesterday.
Monday Feb 24: I checked in to see if anyone needs any help/explanation for any of the 1.3 questions, then we 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 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. I'll give you work time for this assignment (and the one I'll assign tomorrow) on Wednesday, but if you feel ready for Friday'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. Reminder that if you want more practice for Friday'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)
Friday Feb 21: 1.1 and 1.2 Test. If you finish with time to spare, you can work on Exercise 1.3 #1-9 in the Chapter 1: Limits and Rates of Changes booklet. If you want more practice, skip to page 27 of the workbooklet and do #1-8.
Thursday Feb 20: Today we did examples 3-4 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 next week. Reminder that we test 1.1 and 1.2 tomorrow.
Wednesday Feb 19: 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.
Tuesday Feb 18: we went over the "you try" questions on page 22 of the Unit A: Limits Notes Package. Then we had time to work on (or ask questions about) Exercise 1.2 #1-9,12, and the Limit Practice handout that I handed out today (here is the answer key). We'll do our first test on 1.1 and 1.2 this Friday.
Friday Feb 14: Happy Valentine's Day! Today we go through more examples of using algebra methods to calculate limits, on page 21 of the Unit A: Limits Notes Package. Your homework is to continue to finish the "you try" examples on page 22, then 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 test on 1.1 and 1.2 next Friday.
Thursday Feb 13: 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. We didn't quite get through all of the examples for this lesson, so you can use tonight to finish the 1.1 assignment from yesterday. 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.
Wednesday Feb 12: We went through Examples 2 and 3 on pages 12-14 of the Unit A: Limits Notes Package together. 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 yesterday. The answer key starts on page 16. Here is the answer key for the "Secant Example for you to try" on page 15.
Tuesday Feb 11: we continued through the lesson on pages 9-12 of the Unit A: Limits Notes Package together, making it through example 1 of the lesson. We'll pick it up there tomorrow. 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 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.
Monday Feb 10: 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. 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), or you want to do more of the Dividing Polynomials practice sheet (here is the answer key), you have one more night.
Friday Feb 7: I'm not in today, so students can use today's class to finish up and check your answers for the Grade 11 Skills Review booklet (Here is the answer key). If you have time to spare after that, work on the Dividing Polynomials practice sheet (here is the answer key). Your only other homework this weekend is to watch this Professor Dave video introducing the concept of what calculus actually is.
Thursday Feb 6: we finished up Examples 4 and 5 on pages 6 and 7 of the Unit A: Limits Notes Package . Then we reviewed working with rational and radical expressions - two KEY skills for the rest of this course - and introduced using function notation to find f(x) values and slopes of equations. You can now do the rest of the Grade 11 Skills Review booklet. I'll let you have a work class tomorrow to finish it up (Here is the answer key). Also, you can work on the Dividing Polynomials practice sheet (here is the answer key).
Wednesday Feb 5: we started with a couple more examples of long division from the board, then we went through how to do the long division shortcut: synthetic division which covers pages 2 and 3 of the Unit A: Limits Notes Package . Then we started looking at the factor theorem, using pages 4-6. We'll finish up Examples 5 and 6 tomorrow. Now you can do #7 in the Grade 11 Skills Review booklet and this Dividing Polynomials practice sheet (here is the answer key).
Tuesday Feb 4: today we reviewed factoring - a few examples on the board and the ones from page 8 of the Unit A: Limits Notes Package. I also handed out this 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 and we introduced algebraic long division. You can now do #3-6, 8 in the Grade 11 Skills Review booklet.
Monday Feb 3: Welcome to Introduction to Calculus! Today we looked at the oft forgotten skills from grade 10 Linear Equations. We did a few examples on the board, then I handed out the 1st 4 pages of this Grade 11 Skills Review. You can do #1 and 2 tonight. Please note there is a typo in the instructions on #2 - write the answer in STANDARD form, not point-slope (get used to that format - it's kind of the default format for lines in this course). Here is the answer key
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