PRODUCT AND QUOTIENT RULE TEST THURSDAY APRIL 10
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
No comments:
Post a Comment