Thursday March 19: after I handed back the 2.1 test, it was a work period for 2.2 #1-4,7-10,12,15 and 2.3 #1-13.
FIRST PRINCIPLES AND GRAPHING DERIVATIVES TESTS (2.1) WEDNESDAY MARCH 18
Tuesday March 17: Happy St. Patrick's Day! We started with this differentiability warm up. Then I went over a few questions from the Graphs of Derivatives Worksheets (here is the answer key). Again, if you are looking for more practice for tomorrow's test go to the 4.1 #1-7 questions on page 24 in the Chapter 2 Derivatives Workbook. If you feel that you are good and ready for the test tomorrow, you can work on 2.2 #1-4,7-10,12,15. If you finish that, move on into 2.3 #1-13. I'll let you have Thursday as a work period and you'll have until Monday to get these two sections done.
Monday March 16: for our warm up today, I handed out this little derivative matching activity (the file link has a key). Then we checked in to see if anyone has any homework questions from 2.1 or the Graphs of Derivatives Worksheets (here is the answer key) and I spent the rest of the class going over homework questions. If you want more practice on first principles and graphing, go to the 4.1 #1-7 questions on page 24 in the Chapter 2 Derivatives Workbook. If you feel that you are ready for Wednesday's 2.1 test, you can get working on 2.2 #1-4,7-10,12,15.
Friday March 13: after this warm up (here is the key and here is the Desmos file) we went through the differentiability lesson 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. If you are looking for extra practice for the test, go to page 23 of the workbook and look at #2-6. Reminder that for Monday you should also be done the Graphs of Derivatives Worksheets (here is the answer key), and then get working on 2.2 #1-4,7-10,12.
Thursday March 12: I gave back the last test and we went over it a bit, it was a work period for 2.1 #2,4-6,8-13,16 in the Chapter 2 Derivatives Workbook, the Graphs of Derivatives Worksheets (here is the answer key), and 2.2 #1-4,7-10,12.
Wednesday March 11: we finished up the lesson on Derivative rules on pages 13-14 of the notes from Monday, then we went over page 8 in the Unit B: Derivatives Notes Book. Here is the Desmos file I used in class today. Then we had some work 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. This is a lot of work, so I'll give you tomorrow's class to work on all of this.
Tuesday March 10: 1.4, 1.6 Test.
Monday March 9: we went through pages 7,9-12 of the Unit B: Derivatives Notes Book, finishing up our graphing lesson from Friday and covering the lessons: Derivatives-Other Notations and Basic Derivative Rules. We'll go over page 8 on Wednesday. Again, here is the Desmos file of the examples on pages 5-8, if you want to check your estimates for yourself. For homework, I handed out these Graphs of Derivatives Worksheets (here is the answer key) to give you more practice on the graph estimations. Also, you can keep working on the first principles assignment: 2.1 #2,4-6,8-13,16 in the Chapter 2 Derivatives Workbook, This is quite a bit of work, so I will let you have most of Wednesday as a work/ask questions period
Friday March 6: 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" examples on pages 7-8 and we'll go over it Monday. 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.
Thursday Mar 5: after a check in to see if anyone had any questions about the 1.4 and 1.6 assignments, we had some work/ask questions time for the Limits to Infinity worksheet and/or the extra practice questions page 24 #3-6 in the Chapter 1: Limits and Rates of Changes booklet.
Wednesday March 4: after we went over the examples on this handout, I went over a few questions from the 1.4 assignment on Formula 1 and 2 problems. Tomorrow, I'll give you a work period to finish up 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 yesterday. Test on this material (and Formula 1 and 2) will be Tuesday. If you are looking for extra practice, go to page 24 #3-6.
Tuesday March 3: today's warm up was the examples on this handout. We will go over them at the start of tomorrow's class together. The rest of the class was work time for assignment is 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet. I'll give you more time to work tomorrow, but I will also add the Limits to Infinity worksheet that I handed out today. We will test next Tuesday.
Monday March 2: after a quick check in to see if anyone has any 1.4 assignment questions, today's lesson is for Limits as x approaches infinity. This covers pages 42-44 of the Unit A: Limits Notes Package. The assignment, it is 1.6 #1-5,8 in the Chapter 1: Limits and Rates of Changes booklet.
Friday Feb 27: 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 the weekend 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
1.2 and 1.3 THURSDAY FEB 26
Wedndesday Feb 25: some students were away for the Fermat contest, so we just went through one more piecewise continuity problem from page 40 of the (here is the DESMOS file I used for it and here is the solution) and then we had time to work on Exercise 1.4 #1,2,6-11 in the Chapter 1: Limits and Rates of Changes workbook.
Tuesday Feb 24: we started by using the continuity example on page 40 of the notes booklet as a warm up. We'll go over it tomorrow. Then we took a minute to see if anyone had any questions about the 1.3 assignment in the Chapter 1: Limits and Rates of Changes workbook. Then we did 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. For homework you can now do all of Exercise 1.4 #1,2,6-11 in the Chapter 1: Limits and Rates of Changes workbook. I'll let the class have work time for that tomorrow while some of the class is away writing the Fermat contest.
Monday Feb 23: we started by going over the Continuity Example page from last week. Then we began 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. Part 2 of this lesson will be tomorrow, so you can spend more time tonight making sure you are done the 1.3 assignment. See Friday's post if you want more practice questions before Thursday's test. If, on the other hand, you feel ready to move on from 1.3 you can start the 1.4 assignment, but only do 1.4 #1a(i), b,c and #2a(i), b, and c, 6 and 7.
Friday Feb 20: we checked in to see if anyone had any questions about Exercise 1.3 #1-9 in the Chapter 1: Limits and Rates of Changes booklet, then I gave the class some work time. In addition to the 1.3 questions, you have the Continuity Example page that I handed out on Wednesday (the file link has a key at the end). We will test more of 1.2 and 1.3 on Thursday. If you want more 1.3 practice, go to page 27 of the workbooklet and do #1-8 (the answer key for that is the "Section 3.3" part on page 32). You can find more 1.2 practice on page 28 #10,11.
Thursday Feb 19: 1.1 and 1.2 Test. When you are finished that, you can work on Exercise 1.3 #1-9 in the Chapter 1: Limits and Rates of Changes booklet or the Continuity Example page that I handed out yesterday (the file here has a key at the end).
Wednesday Feb 18: after one last check to see if anyone is stuck on 1.1 or 1.2 problems (test tomorrow!) we went back to Example #3 on page 25 of the Unit A: Limits Notes Package and looked at how to graph a piecewise function on Desmos (here is the DESMOS file that I was using for this example). Then we went back to the Continuity lesson on page 27 (here is the DESMOS file I was using for pages 26-29. You can now do all of the homework for this lesson: Exercise 1.3 #1-9 in the Chapter 1: Limits and Rates of Changes booklet. I also handed out another Continuity Example (the file here has a key at the end) for you to try. If you are looking for one more bit of practice for tomorrow's test, go to the back of the workbook and see page 21 #1 and page 28 #10,11. There are answer keys for them at the very back. If you have already done and corrected the 1.1, 1.2 and the Limit Practice handout assignments, you probably don't need any more practice.
Tuesday Feb 17: Today, after a quick check in to see if anyone is stuck on any of the Exercise 1.2 or the Limit Practice handout questions, we did a lesson on one-sided limits, coving pages 23-26 in the Unit A: Limits Notes Package . There's more of this lesson to do tomorrow, but if you want to start ont the homework for this lesson, it is Exercise 1.3 #1-9 in the Chapter 1: Limits and Rates of Changes booklet. We will test 1.1 and 1.2 on Thursday.
Thursday Feb 12: Today we went through the "you try" examples on pages 21-22 of the Unit A: Limits Notes Package. Then I asked the class if anyone wants me to got over any of the Exercise 1.1 questions from the Chapter 1: Limits and Rates of Changes workbook (If anyone wants to see my Desmos file for #10, here it is), but nobody took me up on that. Your homework for the long weekend is Exercise 1.2 #1-9,12 as well as the Limit Practice handout that I handed out today (here is the answer key). After that, 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). Have a great long weekend!
Wednesday Feb 11: 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. For homework tonight, do the six examples on pages 21-22 and we'll go over them tomorrow. Also, 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.
Tuesday Feb 10: We finished Example 2 and went through Example 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 today. The answer key starts on page 16. Here is the answer key for the "Secant Example for you to try" on page 15.
Monday Feb 9: we continued through the lesson on pages 9-12 of the Unit A: Limits Notes Package together, making it through example 1 and the start of example 2 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. 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, and here is the Excel file that I would have used to do the same calculations.
Friday Feb 6: I had an guest teacher in today, so it was work time to finish up the Grade 11 Skills Review (here is the answer key), or the Dividing Polynomials practice sheet (here is the answer key), or the Lil' More Factoring Practice.
Thursday Feb 5: 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 tomorrow's class and the weekend to do them. MONDAY is the DEADLINE to register for the FERMAT Contest.
Wednesday Feb 4: we went back into pages 4-7 of the Unit A: Limits Notes Package and used polynomial division and the Factor Theorem to factor cubic and quartic polynomials. You can now do the rest of the Grade 11 Skills Review and the Lil' More Factoring Practice. I also handed out this Dividing Polynomials practice sheet (here is the answer key). I'll let you have Friday's class to work on these. For homework tonight, watch this Professor Dave video introducing the concept of what calculus actually is.
Tuesday Feb 3: I handed out the Unit A: Limits Notes Package. and we did the sum and difference of cubes examples on page 8, so now you can do #6 on the Grade 11 Skills Review. I handed out a Lil' More Factoring Practice for you to keep practicing your factoring. 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 (and its shortcut: synthetic division) on pages 2 and 3 of the notes package.
Monday Feb 2: Welcome to Introduction to Calculus. Today we went over the course outline, then I handed out the Grade 11 Skills Review and did some examples from #1-5. You can finish off those questions tonight (here is the answer key). Tomorrow we'll start on the skills in here that aren't in the grade 11 curriculum anymore. If you want to work ahead, feel free to google things like "factor theorem" or "factoring sum of cubes" and see if you can get ahead of me.
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