Wednesday Sept 23: we continued through pages 20-21 of the Unit A: Limits Notes Package. Your homework is to do 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 week Monday.
Tuesday Sept 22: After wrapping up Examples 2 and 3 on pags 13-14, we moved on to pages 16-19 of the Unit A: Limits Notes Package and examples of "Limit Laws" as we moved on to more algebraic ways to calculate limits. We'll continue from there tomorrow. For homework tonight, 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.
Monday Sept 21: we finished up Example 1 on page 11 of the Unit A: Limits Notes Package , then we moved on to Examples 2 and 3 on pages 12-14. We'll finish example 3 tomorrow - see if you can finish it on your own. 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 on Friday. 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 18: we started the lesson on pages 9-11 of the Unit A: Limits Notes Package together, making it through most of example 1 of the lesson. We'll pick it up there on Monday. We're still not quite ready for the first homework assignment just yet, so it's a homework-free weekend if you are caught up on everything else. If you want to play with the graph 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. We'll look at these more closely together on Monday.
Thursday Sept 17: 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 to play with that before we move on to new assignments.
Wednesday Sept 16: back to pages 5-7 of the Unit A: Limits Notes Package. You can now do #6,7 of the Grade 11 Skills Review (here is the answer key). You should also keep workin on the Dividing Polynomials practice sheet (here is the answer key). I also did a quick refresher on function notation, in case you were having trouble with #11,12 of the skills review. That brings us to the end of the 'review' of the skills we'll need to do this course. We'll start 'real' calculus tomorrow. To prepare us for that, here is a video that you should watch.
Tuesday Sept 15: after another long division (of just numbers) warm up, we went back to pages 2 and 3 of the Unit A: Limits Notes Package, and we discussed how to handle the situation where there is a remainder after division. Then we looked at the 'shortcut' for algebraic long division, called "synthetic division" and practiced that on the same two examples. For you to practice this new skill on your own, I handed out this Dividing Polynomials practice sheet (here is the answer key). Lastly we moved on to pages 4 and 5, introducing the Factor, Integral Zero, and Remainder theorems. This allows us to factor many cubic (and higher degree) polynomials - a nice little tool for the toolbox! We'll continue tomorrow.
Monday Sept 14: we started with warm up to remind everyone how we handle division and long division with numbers, then we finished going over the sum and difference of cube examples on page 8 of the Unit A: Limits Notes Package. Then I 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 introducing algebraic long division. We started with divisions that had no remainder (so they could have been done using a factoring method) then moved back to page 2 of the Unit A: Limits Notes Package, to see an example with a remainder. We'll pick it up there tomorrow. No new assignment yet, so you can keep working on the Grade 11 Skills Review (here is the answer key), where you can now do everything except #7.
Friday September 11: thanks to Hunter for noticing the typo on #2 of the Grade 11 Skills Review (here is the answer key) - that should read STANDARD form, not "point slope" form. We refreshed memory on how to do questions 1 and 2, then moved into reviewing factoring (including the notorious "decomposition" method), and we discussed why you can factor a difference of squares binomial, like the questions in #5. Then I handed out the Unit A: Limits Notes Package. and we did the first example of the sum and difference of cubes examples on page 8, so now you can try the rest on that page (I'll go over them on Monday) and do #6 on the skill review. That just leaves #7 as something that should be brand new to you. See if you can finish the rest of the questions in the booklet over the weekend.
Thursday September 10: 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 don't expect you to all be able to do every single question on it just yet (and a couple of the skills in here aren't in the grade 11 curriculum anymore). I'll be giving you some examples and hints as we get to know each other over the next few days. 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.
Wednesday September 9: no classes on day 1. Just get your locker, have a hot dog and see you tomorrow for the first official day of classes!
HERE IS A LINK LIST FOR LESSON VIDEOS