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
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
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.
Monday Jan 6: Welcome back! I handed out t
he 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.
Monday Dec 16: Related Rates test
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.
Monday Dec 9: Implicit Differentiation Test
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, h
ere 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.
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.
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.
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!
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.
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)
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
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
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.
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.
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 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 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
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 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.
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.
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