MCI45S - Introduction to Calculus - SLOT 1B

Friday Oct 17:  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.

Thursday Oct 16:   we finished up page 13 of the notes from yesterday, 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.

Wednesday Oct 15:   we went through pages 7-12 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 these Graphs of Derivatives Worksheets  (here is the answer key).  This is quite a bit of work, so I will let you have most of tomorrow as a work/ask questions period.

Tuesday Oct 14:  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 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.  

Friday Oct 10:  1.4, 1.6 Test.  Have a great long weekend! 

Thursday Oct 9:  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 Oct 8:  after we went over the examples on this handout, it was a 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 Friday.  If you are looking for extra practice, go to page 24 #3-6.  I'll let you have tomorrow's class to work on the worksheet and/or the extra practice questions.

Tuesday Oct 7:  we finished up the examples at the end of lesson 1.6 page 44 of the  Unit A: Limits Notes Package (and I added an example #5 that isn't in the notes).  Then we had time to try  the examples on this handout.  We will go over them at the start of tomorrow's class together.  The assignment is 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 Friday. 

Monday Oct 6: 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.  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.

Friday 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 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.

Thursday Oct 2:  work period for Exercise 1.4 #1,2,6-11 in the  Chapter 1: Limits and Rates of Changes booklet.  If you are already finished it and you are looking for more practice, go to Page 24 and work on #3-7

Wednesday Oct 1:  1.2 and 1.3 Test

Tuesday Sept 30:  No school today - Truth and Reconciliation Day

Monday Sept 29: after a quick check-in to see if anyone has any 1.3 assignment questions, 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.   Your homework for Thursday and today's lessons is Exercise 1.4 #1,2,6-11 in the  Chapter 1: Limits and Rates of Changes booklet.  Reminder: we're doing a 1.2-1.3 Test on Wednesday.  I'll let you have Thursday as a work period for the 1.4 assignment. after seeing if there was any last minute questions from 1.3 or 1.2 before Wednesday's test, we had time to work on the 1.4 assignment from Friday.

Friday Sept 26: I went over Example 3 on page 40 of the Unit A: Limits Notes Package (here is the DESMOS file I used)  We lose some of this class to the Truth and Reconciliation Day video.  Have a great weekend!

Thursday Sept 25:  our warm up today is another Continuity Example (the file here has a key at the end) and 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.  No new assignment (part 2 of this lesson will be Monday), so for homework, keep working on the 1.3 assignment(s) from yesterday.  

Wednesday Sept 24: we finished up the lesson 1.3 examples on pages 28-29 of the Unit A: Limits Notes Package. Then we had work time for  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 (the answer key for that is the "Section 3.3" part on page 32).

Tuesday Sept 23:  after taking a minute to point out a couple of things on yesterday's test, 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 (here is the DESMOS file that I was using for page 25).  Then we moved into the Continuity lesson on pages 26-27 (here is the DESMOS file I was using for pages 26-27.  We still have a couple of examples to finish tomorrow, but you can get started on the homework for this lesson: Exercise 1.3 #1-9 in the  Chapter 1: Limits and Rates of Changes booklet.  We'll do a test on just this lesson (1.3) along with more 1.2 questions on Wednesday of next week.

Monday Sept 22: 1.1 and 1.2 Test

Friday Sept 19:  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 23-25 in the Unit A: Limits Notes Package .   There's more of this lesson to do on Tuesday, 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.

Thursday Sept 18:   we went over the "you try" questions on page 22 of the  Unit A: Limits Notes Package.   Then I went over a few of the Exercise 1.1 questions.  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).  We'll do our first  test on 1.1 and 1.2 on Monday.

Wednesday Sept 17:  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 week Monday.

Tuesday Sept 16:  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 three examples on page 21 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.

Monday Sept 15:  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 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 12:   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.  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.  

Thursday 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.  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.

Wednesday Sept 10:  after a few minutes of finishing up the factor theorem examples on page 6 and 7, we had today as a work/ask questions period to finish up Grade 11 Skills Review (here is the answer key) and the Dividing Polynomials practice sheet (here is the answer key).  If you want a preview of where we go from here (and an answer to the 'what is Calculus' question we asked last week) watch this Professor Dave video introducing the concept of what calculus actually is.

Tuesday Sept 9:  we finished up the sum and difference of cube examples on page 8, then we went through pages 4-7 of the  Unit A: Limits Notes Package.  You can now do #6,7 of the  Grade 11 Skills Review (here is the answer key) and this Dividing Polynomials practice sheet (here is the answer key) that I handed out today.   I also did a quick refresher on function notation.  You can now do #11,12 of the review.  That brings us to the end of the 'review' of the skills we'll need to do this course.  I'll let you have tomorrow as a work/ask questions period, then we'll start 'real' calculus on Thursday.  

Monday Sept 8: we went over how to work with radicals, so now you can do #10 of the  Grade 11 Skills Review (here is the answer key).  I handed out the  Unit A: Limits Notes Package. and we did most of the sum and difference of cubes examples on page 8 (we'll go over the rest tomorrow), so now you can do #6 on the skill review.  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 on pages 2 and 3 of the notes package.  

Friday Sept 5: after a brief philosophical conversation about CALCULUS, we did a quick review of equations and graphs of the linear equation and factoring skills that you learned in grade 10 and the rational algebra skills from grade 11.  You can now do #1-5, 8,9 of the Grade 11 Skills Review (here is the answer key).  If that's as far as you can finish up to for Monday, that's great, but feel free to try more of the booklet if you have time.  I'll do examples for the rest of the questions in the booklet on Monday.  We'll get into actual CALCULUS next week!

Thursday Sept 4:  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. 

HERE IS THE TEXTBOOK

HERE IS A LINK LIST FOR LESSON VIDEOS

Grade 9 Math 10F and 10T - SLOT 2

Friday Oct 17:  Trans Math Test #2 - Squares, Square Roots and Pythagoras.  After you finish, you can work on textbook page 18 #4-7, 9-13, 17,19,22 - these should be done for Monday.  If you are done that, you can go back to this  fraction decimal percent practice page that I handed out after our last test, OR you can work on this Waterloo Math Contest problems handout.   Here is the answer key for that.

Thursday Oct 16:   we went over some of the textbook page 11 questions and the two challenge questions I left you with on Tuesday and yesterday, then I gave the class two more challenge questions that have to do with squaring, exponents, and pythagoras.   We'll look at the answers to those next week.  The rest of the class was time to work on either textbook page 18 #4-7, 9-13, 17,19,22 or the (optional) practice worksheets for Friday's Trans Math Test, with this sheet on the front and this sheet on the back or this practice quiz on estimating square roots.  The files linked here have answer keys.  

Wednesday Oct 15:  after finishing up a quick note on page 17 (and answering one of yesterday's challenge problems) we went through the notes and examples for pages 21,22,24, and 25 of the Square Roots Notes Booklet.  The textbook assignment for this lesson is textbook page 11 #3,5,7-12 (omit 12b),14-18 and page 18 #4-7, 9-13, 17,19,22.  I gave the class time to work on this and the page 11 questions should be done for tomorrow.  You can have more work time on Thursday and Friday to finish the page 18 questions and they will be due for Monday.  I have another challenge question for you:  can you think of a repeating decimal that is a perfect square?  For more (optional) practice for Friday's Trans Test, I handed out this practice quiz on estimating square roots.  The file here has its own answer key

Tueday Oct 14:  We started class by refreshing our memories on how to simplify fractions (like we did on page 20 last week) and how to convert decimals to fractions, then we combined those skills by doing page 23 in the Square Roots Notes Booklet as a warm up (we ignored the instruction to NOT simplify - that would have been insane! - and for #25-36 we switched them to improper fractions).  Then we finished correcting  this page on the back (here is the answer key so you can check yours at home if you missed today's class).  Then we went back to pages 17 and 18 and filled in these blank pages with some notes and examples to remind us how to square fractions and decimals.  No new homework yet, but I left the class with two challenge questions:  the famous 'false fraction simplification' problem and 'Does a perfect square have to be a whole number'?  I also handed out one more (optional) practice worksheet for Friday's Trans Math Test, with this sheet on the front and this sheet on the back.  The files linked here have answer keys.  Speaking of challenging questions, some of you already have this Waterloo Math Contest problems handout.   Here is the answer key for those of you who have already been working on it.  

Friday Oct 10: we started by finishing our discussion of why the fractional square root calculations we are doing are only estimates and not exact values.  Then we did page 20 of the  Square Roots Notes Booklet as a warm up.   Then we corrected the worksheet with this page on the front and started going over this page on the back (here is the answer key so you can check yours at home if you missed today's class).  If you aren't finished this page, that is your only homework for the weekend.  Next week Friday we'll do our second Trans Math Test on square roots of whole numbers and pythagoras calculations.

Thursday Oct 9:  we started class with some work time for Examples 3 to 6 on pages 14-16 of the Square Roots Notes Booklet.    Then we discussed the "challenge" question I asked you yesterday - which was basically to explain why the fractional square root estimation technique we have been using is, in fact, only an approximation of the true value of the square root of a non-perfect square.  Then we started lesson 3.3: Square Roots of Rational Numbers.  We went through pages 19 and 21 together.  Your homework is to finish Example 5 on page 22 and if you are not done the worksheet with this page on the front and this page on the back (here is the answer key), then do that.  We will be back to using our textbooks tomorrow.  

Wednesday Oct 8:   We went over the two "classic" pythagoras problems from Monday, then we watched this video to confirm the result of the 2nd of those problems.   Then we did some more explanation and demonstration for estimating square roots using benchmarks on a number line.  I gave the class a few minutes to work and then we corrected Examples 3 to 6 on pages 14-16 of the Square Roots Notes Booklet.   I'll give you another 30 minutes of work time tomorrow.  I left the class with a challenge question to think about for tomorrow.  Then, for extra practice, I handed out a worksheet with this page on the front and this page on the back.  The rest of the class was to finish up the worksheet - here is the answer key.

Tuesday Oct 7:   we corrected page 7 in the Square Roots Notes Booklet together.   Then we had time to work on this Pythagoras Review Sheet.  If you don't finish it in class time, it will be homework.  Recall that I gave you the two "classic" pythagoras problems from yesterday.  We'll go over them tomorrow. After that, we moved on to Lesson 3.2: Estimating Square Roots of Whole Numbers, covering pages 11-13.  Your assignment for this lesson is to finish Examples 3 to 6 on pages 14-16.  I'll give you a few minutes of class time to finish those tomorrow.  

Monday Oct 6:  I handed out our new notes booklet:  Square Roots Notes.  We went through pages 3-6,8 and 9 together.  We also spent some time reviewing the Pythagorean Theorem.  We watched this video, and this video, and  this video and this video (this is the Vi Hart one) .  The assignment for this lesson is to fill in the "Example 1" chart on page 4 and do the "Example 4" questions on page 7 and this Pythagoras Review Sheet (the file link has an answser key for you to check your answers).  Then to end the class we used the blank page 10 to do a couple of interesting (classic!) problems that involve the Pythagorean Theorem.  We will go over them tomorrow. 

Friday Oct 3:  Powers and Exponents Test.  If you finish with time to spare, I handed out this fraction decimal percent practice page.  We will start our next unit reviewed some skills you learned in grades 6-8 that allow you to convert fractions and decimals from one to another.  The worksheet copy linked here has an answer key if you can't wait for next week to check if you are correct.

Thursday Oct 2:  we went over some textbook page 84 questions.  Then we had time to work on the Practice #3 (here is the answer key), and Practice #4 (here is the answer key) worksheets that I handed out yesterday.   If you finish those and you still feel as though you need more review before the Chapter 2 test tomorrow, you can work on the review on textbook pages 87-89 and the practice test on page 90.  

Wednesday Oct 1:  we went over the Practice #2 sheet and I gave the class a little more time to work on  textbook page 84 #4-9, 11,12,14,15,16,19-21 it should be done for tomorrow.  For people ready to move on, I handed out  Practice #3, and Practice #4 worksheets.  If you finish those and you still feel as though you need more review before the Chapter 2 test, you can work on the review on textbook pages 87-89 and the practice test on page 90.  We'll write the Chapter 2 test on Friday.  I'll let you have some review/work time tomorrow after we go over the page 85 questions.

Tuesday Sept 30:  No school today - Truth and Reconciliation Day

Monday Sept 29:  we corrected the Practice #1 sheet and then we went through the examples on pages 20-22 of the Powers and Exponents Notes booklet, then the class had some time to work on textbook page 84 #4-9, 11,12,14,15,16,19-21.   You should be done that for Thursday.  For Wednesday, make sure you are done the Practice #2 sheet that I handed out on Friday of last week.  We will test the Unit THIS Friday. 

Friday Sept 26:   we lose this period to the Truth and Reconciliation Day activities.  Have a great weekend!

Thursday Sept 25:  we went over some of the textbook page 76 problems.  Then we went through the "quick practice" questions from page 19 of the Powers and Exponents Notes booklet.  Then we ended the class by looking at the sheet called Practice #1 (which I handed out back on Monday), which reviews the first lesson of this chapter - this is the first step in getting ready for a test next week!  I also handed out the Practice #2 sheet today.  Have the Practice #1 and Practice #2 sheets done for Monday.  

Wednesday Sept 24:  we had some time to work on textbook page 76 #4-8, 10,11,13,15,20-23.  Then we went through the exponent laws 2 lesson on pages 14-16 of the Powers and Exponents Notes booklet.  Your homework for tomorrow is to finish up the textbook page 76 assignment.  You also have a sheet called Practice #1 on Monday that you could work on.

Tuesday Sept 23:  we went over some of the  textbook page 66 questions together.  Then we did a few examples in our notebook to fresh our memories on the first three power laws.  We first met those on pages 8-10 of the Powers and Exponents Notes booklet, which we did in class last week.  The Practice #1 sheet that I handed out after yesterday's test should be done for tomorrow.  If you are done, you can move on to the new assignment, which is textbook page 76 #4-8, 10,11,13,15,20-23.  I'll give you a little work time tomorrow for that. 

Monday Sept 22: we started by quickly correcting the practice riddle that I handed out on Friday, then we went back to the BEDMAS puzzles I handed out back on our first day of classes a couple of weeks ago (here, at long last, is the answer key).  After that, we did Trans Test #1: BEDMAS.  People who finished with class time to spare were free to work on this sheet called Practice #1, which reviews the first lesson of the Powers and Exponents chapter.  Reminder that the textbook page 66 assignment from last week should be done.  We'll go over that tomorrow.

Friday Sept 19:  after some work time, we corrected the BEDMAS practice sheet sheet together (if you missed class today, correct it yourself with this answer key).  Then we solved the 7^99 problem from yesterday.  We ended by looking at a math meme that keeps floating around the internet.  For homework this weekend to get more ready for the first Trans Math test on Monday (on BEDMAS) here is another practice riddle (the file here has an answer key at the end).  Also, if you still need to finish up  textbook page 66 #3-5,10,11,14,15,16,18,20,21,22,24,26,27, please have that done for Monday.

Thursday Sept 18:  we went over some of the textbook page 66 questions together and had some time to work on finishing that assignment.  Then we worked on this BEDMAS practice sheet.  We will do our first little test of the year on this material (for our Trans Math credit) this Monday.   After that, we got back into thinking about Powers and Exponents by going back to a question I left you with last week:  is 8^x always going to be larger than 9^x-1?  To solve that I showed the class how to use Excel.  Then I left you with a new problem.  What will the ones digit of 7^99 be?

Wednesday Sept 17:  I started class with a story about why 13 532 385 396 179 is my favourite number.  Then we had with time to work on textbook page 66 #3-5,10,11,14,15,16,18,20,21,22,24,26,27 (for #16, just get the answer, you don't need to write out the button sequence).  I'll give you a few more minutes to work on this assignment tomorrow.  If anyone does finish that with time to spare, here is a trans BEDMAS practice sheet to work on.  Here is the answer key   If you finish it tonight and want to check your answers.  We'll wrap up our Trans Math BEDMAS review tomorrow by going over the BEDMAS puzzles I handed out back on our first day of classes a couple of weeks ago. 

Tuesday Sept 16: we added BEDMAS rules to our review of basic integer calculation rules and I handed out this spooky bedmas riddle as our drill for this class.  Then we went back to the Powers and Exponents Notes booklet and did the notes for page 12.  Then we did the evalute questions on page 13 and corrected them.  You can start on the next homework assignment tonight, textbook page 66 #3-5,10,11,14,15,16,18,20,21,22,24,26,27.  I'll give you time to work on that one tomorrow.

Monday Sept 15:  We started with a quick review of our integer calculation rules.  Then I handed out this Adding, Subtracting, Multiplying, and Dividing Integers worksheet and we did it as a drill to see where we might need to freshen up these skills.  Then it was back to our Powers and Exponents chapter, where we went over we went over some of the textbook page 61 and the scientific notation practice sheet questions together.  Then we went through the next lesson in the Powers and Exponents Notes booklet, pages 10-11.  No new homework tonight.

Friday Sept 12:  we started with this Negative Base Practice warm up.  Then we went back to the Powers and Exponents Notes booklet and did the examples on pages 7-9.  After that we had time to work on our next assignment, textbook page 61 #4-11, 14.  People ready to move on from the page 61 assignment can finish up working on the scientific notation practice sheet that I handed out yesterday.  Both the textbook assignment and the sceintific notation  practice sheet  should be done for Monday.

Thursday Sept 11:  We corrected #3 from the  Powers of Negative Bases Practice sheet that we did yesterday.  Then we did the back of that page and corrected it.   Then we went over some of the textbook page 55 questions together.  Towards the end of the period we looked at using scientific notation for really big numbers.  I handed out this practice sheet (the file here has the answer key) for people to work on  It should be completed for Monday.  

Wednesday Sept 10:   we started with our first textbook assignment for this year, textbook page 55 #4,5,7-9,11,13,16-18,20,21,24.  We will go over them tomorrow, so if you don't finish these in class, you have some homework to do tonight.  Anyone who might already be finished should try finishing the BEDMAS puzzles I handed out last week (can anyone get 39 without using a square root?).  At the end of the class, I handed out this Powers of Negative Bases Practice sheet that we did in class as a little practice speed test and then we went over the first two questions together.  We'll go over #3 tomorrow and save the back for the end of tomorrow's class.  If you missed class today, you can download it and try it yourself (the file link has an answer key at the end of the file).

Tuesday Sept 9:  we went through page 4 and then had time to finish up the "Quick Practice" questions on pages 5,6 of the Powers and Exponents Notes booklet.  Then we looked at a couple of fun facts about exponents.  We discussed Al's Allowance and the Legend of Pal Paysam.  For tomorrow's class, please bring your textbook. 

Monday Sept 8:  After looking over some student answers, I gave the class some hints with the BEDMAS puzzles that I handed out on Friday.  We'll re-visit them again later in the week.  Then we wrapped up the 24 game that we were playing on Friday.  We used that as a spring board to start talking about EXPONENTS.  I handed out the Powers and Exponents Notes booklet.  We did the notes together for pages #1-3.  We'll finish up page 4 tomorrow. If you want to try to work ahead, the assignment for this lesson is the "Quick Practice" questions on pages 5,6.  You can try them for homework tonight, but if you don't finish them, I'll give you a few minutes to finish this up tomorrow.

Friday Sept 5:  we continued going over the  course outline from yesterday and discussed the expectations that I have for you going forward.  Then we wrapped up the little number game that we started yesterday with the 3-digit numbers on your textbooks, and finally, we moved on to one of my favourite number games: the 24 game.  The goal of the 24 game is to have a fun way to work on basic arithmetic operational skills, especially brackets.  So for a little bit of homework over the weekend, I am handing out these BEDMAS puzzles for you to try.  Play with them for a few minutes this weekend and see how many you can get.  On Monday, I'll give you some examples to help you solve them all.

Thursday September 4:  Welcome to Grade 9 Math!  Nothing too strenuous on the first day!  We went over some of the course outline,  I assigned textbooks and we played with the numbers on the textbooks a little.  For fun, see if you can find the "constant" for a 4-digit number.  See you tomorrow!

HERE IS AN E-COPY OF THE TEXTBOOK

MAP30S - Grade 11 Applied Math - SLOT 5

CHAPTER 3 TEST TUESDAY  - DON'T FORGET TO MAKE A STUDY SHEET (with the formulas!)

Friday Oct 17:  Work time for Page 147 #3-5, 8-10.  If you finish that, work on some review from textbook pages 152 #1-8  and 154 #2-12 and get started on making the study sheet that you will be bringing into Tuesday's test.

Thursday Oct 16:  We went over a few questions from Tuesday's page 136 assignment. Then we continued with a 3.3 ACC (Cosine Law) ( the file has a key).  Once again, if you can't do these questions, you are not keeping up with the pace of the course and you can't expect to pass the next test if you don't turn things around. Then we finished up the last couple of examples in Lesson 3.4, pages 10-11 in the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. The assignment for 3.4 is Page 147 #3-5, 8-10.  I'll give you some work time for these problems tomorrow.  If you have your own protractor and ruler, bring them for Monday's class.

Wednesday Oct 15:  after handing back and going over the Chapter 2 test, we started with work time for the textbook page 136 questions from yesterday.    After that, we started the examples pages 9-11, Lesson 3.4 in the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet.   If you are finished the page 136 assignment, today's lesson assignment is textbook page 147 #3-5,8-10.  You will get some work time for it tomorrow after we finish up the examples on notebook pages 9-11.  

Tuesday Oct 14:  after going over a few of the page 124 textbook problems, we started by having students try this 3.2 ACC ( Acute Sine Law) ( the file has a key ).  Then we went back to the last two pages of  Lesson 3.3 in the   Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet and then had time to work on textbook page 136 #1-7,9-11,13,15.  I'll give you some time to work on this assignment tomorrow.

Friday Oct 10:   we started by going over some of the questions in the textbook page 124 #2-17 assignment.  Then we finished up the examples on pages 7-8 in Lesson 3.3 of the   Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet and then had time to work on textbook page 136 #1-7,9-11,13,15.  You should be done #1-7 for Tuesday and I'll give you some work time on Tuesday to do the rest.  Have a great long weekend.

Thursday Oct 9:  after a few minutes of work time for the page 124 assignment from yesterday, we went back to the   Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet and we started Lesson 3.3 where we derived and did the first couple of examples of the Cosine Law.  We'll finish up that lesson tomorrow, but if you are finished all of the page 124 assignment, you can get started on page 136 #1-7,9-11,13,15.

Wednesday Oct 8:  After checking to see if anyone had any questions about the  Right Angle Trig Practice sheet   (here is the answer key), then we did a 3.1 ACC.  After that,  I handed out the  Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet.  On the first page we derived the formula for the SINE LAW and learned how to use it as we worked through lesson 3.2.   Your homework for this lesson is textbook page 124 #2-17.  I'll give you some work time for this assignment tomorrow.

Tuesday Oct 7:  Chapter 2 Test.  Anyone who finished with time to spare can work on this Right Angle Trig Practice sheet.   Here is the answer key.  

Monday Oct 6:  One last chance to ask questions about the homework or reviews from Chapter 2 before we test it tomorrow.  Then we finished up the notes and examples in the Chapter 3 Introduction - Right Angle Trig Review Notes.  After that, I handed out this  Right Angle Trig Practice sheet.   Here is the answer key.  You should have this done for Wednesday.  Bring it with you tomorrow and you can work on it if you finish the Chapter 2 test with time to spare.

Friday Oct 3:  I handed out a Chapter 2.4 Review, which we did as a little practice quiz (if you missed class, here is the key to correct it).  After a quick go-over of the Chapter 2 reviews, I handed out this Chapter 3 Introduction - Right Angle Trig Review Notes.  We went through the notes and the first few examples together.  No new homework so you can spend time this weekend getting ready for Tuesday's Chapter 2 test (make a study sheet!)

Thursday Oct 2:  I gave the class some work time for page 99 #1-3,6,7.  

If anyone is finished that, I will give them a 2.1-2.3 Review (here is the key for that)  to work on.  We test this chapter on Tuesday.  If you finish the handout review, you can find textbook review on page 104 #1,2,4-6 (self test) and page 106 #2-5,7-11 (chapter review)

Wednesday Oct 1:    started class by going over a few homework questions from the textbook page 90 assignment, then we went through the 2.4 lesson on pages 19-20 of the Chapter 2: Properties of Angles and Triangles Notes Package.   No new homework tonight, but now that you have seen how we should be doing the "prove" questions, you may want to re-try some of the page 90 homework from Monday.  If you want to start on the 2.4 assignment it is page 99 #1-3,6,7 - I'll give you some work time for it tomorrow.  We'll use Thursday as a review day, start Chapter 3 on Friday and Monday, and then we'll test Chapter 2 on Tuesday.

Tuesday Sept 30:  No school today - Truth and Reconciliation Day

Monday Sept 29:   I handed back the chapter 1 test and we went over a few of the questions.  At the end of the semester, I will drop the lowest test score from your average.  BUT keep in mind that the material from all of the Chapter tests will be on the final exam in June.  After that, we finished up the 2.3 lesson on pages 17-18 of the Chapter 2: Properties of Angles and Triangles Notes Package. The rest of the class was work time for the 1.3 assignment, textbook page 90 #2-5,7,10,13,14,15.   You should be done this for Wednesday.  Remember that there is no school tomorrow.

Friday Sept 26: we went over some of the page 72 and 78 questions,  Then we did this mini-quiz (ACC) for 2.1-2.2.  The file link has an answer key at the end if you missed class and want to try it for yourself.   After that we started the notes for Chapter 2.3 on pages 16-18 of the Chapter 2: Properties of Angles and Triangles Notes Package.  We will finish them on Monday.  For your homework this weekend, see if you can finish the "proof" of the NON-adjacent Interior Angle Theorem that we started in class today.

Thursday Sept 25: we started with a line drawing activity with an interesting result, then we watched this video.video.  After that, we went back to the notes for the last page of Chapter 2.2 of the Chapter 2: Properties of Angles and Triangles Notes Package.   Then we had some time to work on the assignment from yesterday, Textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20.  Those need to be done for tomorrow.   If anyone is interested in watching the rest of the cartoon I showed you a clip from today, here is the link.

Wednesday Sept 24:  we went back to the notes for Chapter 2.1 and 2.2, on pages 10-15 of the Chapter 2: Properties of Angles and Triangles Notes Package.   If you missed today's lesson, the filled in version of the notes package is here.  The assignment for this section is Textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20.

Tuesday Sept 23: Chapter 1 Test.  The test likely won't take most people the entire period on Monday, so if you finish with time to spare, you can work through the examples we didn't do on pages 2-8 of the Chapter 2: Properties of Angles and Triangles Notes Package.  

Monday Sept 22:  When I scheduled the Chapter 1 test for today, I COMPLETELY FORGOT about the Lockdown thing that has been scheduled for 2 PM today, so I have moved the test to tomorrow and today I handed out the Chapter 2: Properties of Angles and Triangles Notes Package and we went through some of the introductory section, pages 2-8 together.  I'll leave it to you to decide if you need more practice on these measurement skills.  If you think you do, you can finish the rest of the examples that we didn't get to for homework.  If you feel you're good, don't worry about them.  Then we started to go through notes for lesson 2.1 and 2.2, on page 10.  We'll continue that on Wednesday.

Friday Sept 19:  First, we went through a lockdown safety power point.  Then, after going over some of the 1.6 questions together, we had a few minutes to work on the  Chapter 1 review questions that I handed out yessterday.    Our class was cut short by the Terry Fox presentation.  Chapter 1 test on Monday - don't forget that you can make yourself a study sheet.

Thursday Sept 18:  We lost a few minutes of this class to the bus ridership drill.  We went over some of the last 4 questions from the 1.6 notes in our  Chapter 1 Notes Package.  Then we had some time to work on the textbook page 49 problems from yesterday.  Then I handed out this Chapter 1 Review Booklet to help you get ready for our Chapter 1 test on Monday.  I have an answer key for the 1.2 to 1.6 sections of the review here, while the 1.1 section has its own key.  Bring a protractor to class tomorrow.

Wednesday Sept 17: We started by watching a very exciting bus ridership video and then did a problem known as the Tax Collector problem (here is the solution).  Then we finished off the last pages of the 1.6 lesson in the notes booklet.  The assignment for this lesson is to finish the last 4 examples in the notes booklet and do textbook page 49 #2-4,6-11,14.  If you need a little break from the textbook questions, you can play with the 5-Triangle Puzzle I handed out yesterday.   I'll give you more time to finish the textbook questions tomorrow.  If you are finished the textbook and want to spend the rest of your class time on puzzles, here is a Logic Problem (here is the key) and this practice Sudoku, (here is the key).  

Tuesday Sept 16:   we started by revisiting the webpage that "reads your mind".  Then we went over some of the questions from the page 42 assignment from yesterday.  Then we figured out what is going on in this  YouTube video (which is how to think about #4 from yesterday's homework).  After that, we did the 1.6 notes in our  Chapter 1 Notes Package and I handed out this Introduction to Sudoku puzzle and we went over it.   No new assignment tonight, we will finish up lesson 1.6 tomorrow.

Monday Sept 15:  we started by looking at two famous proofs of the pythagorean theorem: Bhaskara's and Garfield's.  Then went over a few of the page 23 and 31 questions together.  Then we finished our discussion for chaper 1.5: Invalid Proofs and looked at why 2 in fact does NOT equal 0!  Then we looked at the webpage that "reads your mind" and looked for the deductive logic that allows it to work.  My new challenge for you is to detemine the flaw in this 'proof' that seems to suggest that 64=65  (if that link does not work for you, here it is on YouTube).  If you enjoyed that puzzle, you can try this  5-Triangle Puzzle that I handed out.  The assignment for section 1.5 is page 42 #3-5,7,9,10.  Our Chapter 1 test will be 1 week from today.

Friday Sept 12:  we went over the examples at the end of the 1.4 lesson in the Chapter 1 Notes Package that I left for you to try.  Then we had some time to work on textbook page 23 #10-12, 15-17 and page 31 #1-5, 7,8,10,11,15.  They should be done for Monday.  After that we went back to the Chapter 1 Notes Package and went through the examples and notes for Lesson 1.5.   We didn't quite finish the lesson discussion, so we'll finish it on Monday and your only homework for the weekend is to finish the page 23 and 31 textbook questions (if you didn't finish them in class) and try to find the mistake or reasoning error in the last example we did (or did we really just prove that 2=0 !?).  We ended with something fun, see if you can figure out how this webpage is "reading your mind".   We'll discuss it on Monday.  We also watched  this video to see an example of students your age found a new proof of a very old theorem.

Thursday Sept 11:  we took one last look at the rest of the  Essential Skills Review to see if there were any questions where people were stumped on how to get the answers.  Then we had time to work on textbook questions:   page 17 #2 and page 22 #1,3,4.  Then we went back to the Chapter 1 Notes Package and went through the examples and notes for Lesson 1.4.  I left you with the examples at the end of the lesson to try for yourself - we'll correct them at the start of tomorrow's class.   The assignment for this section is textbook page 23 #10-12, 15-17 and page 31 #1-5, 7,8,10,11,15.  You can start it tonight if you want, but I will give you some work time for it tomorrow.

Wednesday Sept 10: I started with a story about my favourite number and solved the climb to a prime conjecture.  Then we explored what looked like a simple pattern problem (but looks can be decieving!).  Then we went over the a-e examples at the end of lesson 1.3 in the notes booklet.   Reminder that you still have textbook assignment Page 17#2 and Page 22 #1,3,4 - I'll give you some more class time to work on those tomorrow and say they are due for Friday.  Reminder that as much of the Essential Skills Review as you can manage should be finished for tomorrow (here is the answer key) .  

Tuesday Sept 9:  we started by talking about our favourite numbers. I love all numbers, so it's hard for me to pick just one favourite, but right now, I'd have to say that it's  13 532 385 396 179.  Then  we solved the triangle problem on page 4 of the Chapter 1 Notes Package..  Then we solved the circle cord problem for page 5.  After that, we continued into the notes and finished up lessons 1.1, 1.2, and 1.3 up to page 9.    Then we looked at the climb to a prime game, which lead to these conjectures: Will my favourite (non-prime) two digit number climb to a prime?  Will ALL numbers eventually climb to a prime?  Here is a direct link to the prime number checker to help you play.  The "climb to a prime" game explains why 13 532 385 396 179 is Mr K's favourite number.  Then I assigned you to finish the a-e questions at the end of lesson 1.3 in the notes booklet for tomorrow.  After that,  our first textbook assignment of the semester, Page 17 #2 and Page 22 #1,3,4.  I'll give you some time to work on them tomorrow.  

Monday Sept 8:  We went through some hints on how to do the rest of the  Essential Skills Review and went over any of the questions from #1-7 that students in the class felt stuck on.  We'll go over the rest of that booklet on Thursday, so cool if you can get it all done for then (here is the answer key).  After that, I handed out the Chapter 1 Notes Package and we did some notes about Conjectures (lesson 1.1).  I left you with a couple of problems to consider for homework: first, there's the last couple of examples of lesson 1.1 of the notes package (pages 4-5)  and one from the board:  is 8^x always going to be larger than 9^(x-1)?  Make a conjecture.  We'll decide if your conjecture is true or false tomorrow.  

Friday Sept 5:  we started by finishing our look at the course outline.  Then I gave the class some hints with some of the questions on the Essential Skills Review.  Your only homework this weekend will be to try to solve the rest of #1-7 from that review.  Feel free to see how much of the rest of the review you can finish on your own, but don't panic if you need to wait to see me do more examples on Monday.  Here is the answer key.    Have a great weekend. 

Thursday Sept 4:  Welcome to Grade 11 Applied Math!  Here is the course outline.  We played a couple of  games with 2 digit numbers (and learned about the Collatz Conjecture) while I assigned textbooks and tried get to know you a little bit.  No homework yet!  If anyone wants to use the HOTPO online calculator that I was using in class, here is the link.  If anyone who is also taking computer science wants to have a try at coding a program to calculate it yourself, let me know! No homework due tomorrow on the first day, but I did hand out this Essential Skills Review, that will be homework for Monday - if you are keen to work ahead.

TEXTBOOK:   Chapter 3 Getting Started, Chapter 3.1, Chapter 3.2, Chapter 3.3, Chapter 3.4, Chapter 3 Review, Chapter 3 Self-Test, Chapter 2.1, Chapter 2.2, Chapter 2.3, Chapter 2.4, Chapter 2 Self Test, Chapter 2 Review,  Chapter 1.1, Chapter 1.2, Chapter 1.3, Chapter 1.4, Chapter 1.5, Chapter 1.6, Chapter 1.7,  ANSWER KEYS

CHAPTER 3 & 4 VIDEO LESSONS:  Deriving the Sine Law,  Using the Sine Law (3.2 examples), Deriving the Cosine Law, Using the Cosine Law (3.3 examples), Lesson 3.4-word Problems, 4.1 - 4.2 Trig of Obtuse Angles, 4.3 Part 1, 4.3 Part 2,