Grade 12 Introductions to Calculus 45S - Slot 1A Semester 1

1.4 and 1.6 TEST TUESDAY OCT 20

Monday Oct 19:  today is a review day for going over 1.4, 1.6, and Limits to Infinity worksheet questions together before we test this on tomorrow.  Reminder if you are looking for more 1.4 practice before the test tomorrow, look at page 24 #3-6.  For tomorrow's test, Band students can start writing at 8 AM.

Friday Oct 16: after a quick check in to see if anyone is stuck on any 1.4 questions, 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 Tuesday.  If you are looking for extra practice, go to page 24 #3-6.  

Thursday Oct 15:  we went back to the end of lesson 1.6 page 44 of the  Unit A: Limits Notes Package and added a part b to example #4 that isn't in the notes.  Then we did the examples on this handout 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'll test again on Tuesday. 

Wednesday Oct 14:   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.

TEST 2: 1.2 and 1.3 TUESDAY OCT 13

Friday Oct 9:  after a quick check-in to see if anyone has any 1.3 assignment questions, 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 being ready for the 1.2 and 1.3 Test and then work on the 1.4 assignment #1,2,6-11 in the Chapter 1: Limits and Rates of Changes booklet.  If you are looking for more practice on the 1.4 material, go to page 24 #3-6.  If you want to play with the Desmos files I used in class today, here it is: Examples 1.  Have a great long weekend!

Thursday Oct 8:  since I had a guest teacher in this morning, I gave the class the chance to finish up the  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).  That takes us up to the the next test on Tuesday.  If you finish all of that, you can get started on the assignment for the 1.4 Lesson, Exercise 1.4 #1,2,6-11.  That material will be on test 3, which will be another week or so away.

Wednesday Oct 7:   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 this lesson 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 Tuesday.  I'll let you have tomorrw as a work period to finish up the 1.3 assignment and get started on the 1.4 assignment. 

Tuesday Oct 6:   after a quick check in to see if anyone is stuck on any of the 1.3 or 1.2 problems, 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 tomorrow), so for homework, keep working on the 1.3 assignment(s) from yesterday.  

Monday Oct 5:  we finished up the last lesson 1.3 example on page 29 of the Unit A: Limits Notes Package and I handed out another Continuity Example (the file here has a key at the end).  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).

Friday Oct 2:  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 26-28 (here is the DESMOS file I was using for pages 26-27.  We still have one example to finish on Monday, 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 next week.

Thursday Oct 1:   after taking a minute to point out a couple of things on Tuesday's test,  we started 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 Thursday, but if you feel ready to start on the homework for this lesson, it is Exercise 1.3 #1-9 in the  Chapter 1: Limits and Rates of Changes booklet.

1.1 and 1.2 TEST  TUESDAY SEPT 29 - Reminder that there is no school tomorrow.

Monday Sept 28:  I checked in to see if anyone had any questions from the 1.2 assignment.  I gave the rest of the class to get ready for tomorrow's test.  If you finished all of the 1.2 questions, you can do some extra practice on page 21 #1,2 and page 28 #10,11.  To further help you prepare for this test, I'm giving you these hints:  your test will have questions very similar to:1.1 #7-10, 1.2 #3, 1.2 #5e, 1.2 #4h, 1.2 #4b, 1.2 #6b.  We will start the test at 8:25 sharp!

Friday Sept 25:  Today, after going over  Limit Practice handout questions we did a quick check in to see if anyone is stuck on any of the Exercise 1.2 questions.  We will test up to here on Tuesday. 

Thursday Sept 24:  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.  Tonight, work on Exercise 1.2 #1-9,12, and the Limit Practice handout that I handed out today (here is the answer key).  We'll go over the handout tomorrow and 1.2 assignment on Monday.  We'll do our first  test on 1.1 and 1.2 on Tuesday.

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 THE TEXTBOOK

HERE IS A LINK LIST FOR LESSON VIDEOS

Grade 11 Honours Pre-Calculus 30SH - slot 2 Semester 1

Tuesday Oct 20: Today we started by going over the 2nd example on page 10, then we did most of the 3.1b lesson in the  Chapter 3 Quadratics notes package.  This takes us up to the middle of page 14 in the notes booklet.  I left the examples on pages 15 and 16 for you to try - we'll go over them tomorrow and then do the summary on page 17.  The homework for this lesson is textbook page 157 #1,2,4,5a,6-10,12,13,15,18, but you don't have to start that until tomorrow.  I'll be adding to that tomorrow, but then you will get some in-class work time on Thursday.  If you are bored tonight and don't feel like trying those textbook problems yet, you can do the trinomial factoring practice page that I handed out after yesterday's test (grades are up on Edsby, by the way!)

Monday Oct 19:   Sine Law and Cosine Law test. For anyone who finished early, I handed out this trinomial factoring practice page. 

Friday Oct 16:  Last call for any 2.3 or 2.4 problems from the regular homework or the textbook review before Monday's test.  Then we went through a functions review on pages 1-4 and lesson 3.1a on pages 5-10 of the new Chapter 3 Quadratics notes package.  We're not ready for new homework yet, but you can fill in the blanks on page 10 of the notes yourself and we'll go over it on Tuesday.  Beyond that,  you can spend time this weekend getting ready for Monday's Sine and Cosine Law test.

Thursday Oct 15:  we checked to see if anyone has any homework issues from pages 108 or 119 and went over a few page 119 problems.  Then we did the 2.3-2.4 Mini Quiz (the file link has a key).  Then I handed out a page of practice Bearing Problems for some extra practice before we test Sine and Cosine law on Monday.  The file link here has full solutions if you get stuck.  If you feel that you want more practice than this before the test, you can start on the textbook review and self test questions from textbook pages 127 #11-24 and page 129 #4,5,7-10.   If you are looking for a few more review problems, check out this page of Trig Questions from old Grade 12 Essential Math Provincial Exams (the Essential Math students do this same T3 outcome that you did, just without any ambiguous case problems).  It has an answer key if you want to give them a try,  Here are a couple more.  

Wednesday Oct 14:  we started class by handing back the T1/T2 test.  Then we went over some of the page 108 questions.  Then I handed out this page  with sample SAT Trig problems.  We did them and discussed them.  The rest of class was work time for the cosine law assignment textbook page 119 #1 - 6,7, 10, 12, 17,23, 24, 26.  This should be done for tomorrow.  

Tuesday Oct 13: we picked back up on this heading problems handout, where we are stuck on a problem where we are given SAS, so we used our fancy new Cosine Law formula that we derived on Friday to finish that problem and the one on the back of the page.  Then we went back to the Chapter 2: Trigonometry Notebook and did the Cosine Law lesson on pages 24-25. If you missed class and are catching up on your own, watch example 23 - it has a typo - the bottom line should be 75 units.   The assignment for this section is textbook page 119 #1 - 6,7, 10, 12, 17,23, 24, 26.  Reminder that over the long weekend you were supposed to do page 108 #1-13,15,17,18,20,23 - this is a combination of the Lesson 2.3A and 2.3B assignments from last week.  We'll go over these tomorrow.

Friday Oct 9:  we finished up our discussion of  the Congruent Triangle Activity.  (if you missed last class and need instructions on how to do it, work your way through this power point).  Then we did the Lesson 2.3B notes on pages 21-23 of the the Chapter 2: Trigonometry Notebook.  I also handed out this page of heading problems, which we started together, but we ran into a problem that we will fix on Tuesday.  We'll do more of these next week.  The assignment for this section is textbook  page 108 #6-9,11,17,23.   This assignment, along with the other page 108 assignment from the previous lesson, should both be done for Tuesday.  Have a great long weekend!

Thursday Oct 8:  TEST 2:  OUTCOMES T1 and T2.  If you finish with time to spare, work on textbook page 108 #1-5, 10, 12, 13, 15,18, 20.

Wednesday Oct 7:  one last check in to see if anyone has any questions about the T1 and T2 material.  Reminder that the review questions are  Page 126 #1-10 and page 129 #1-3, 6.   Then we did  the Congruent Triangle Activity.  I don't have a video for this activity, but if you missed class and want to try it for yourself, you can work your way through this power point that goes step by step on drawing the triangles.  Your only new homework for this activity are the two questions I left you with at the end of the activity.  Reminder that you should be done textbook page 108 #1-5, 10, 12, 13, 15,18, 20 for Tuesday.  Tomorrow's test may not take you the entire period, so you may have some work time then.

Tuesday Oct 6: I did a quick check in to see if anyone was stuck with anything on the  Trig Equations Worksheets (thanks, Leena for catching two answer key mistakes on the 2.1 Part 2 page:  #3 should be 135, 225 and #4 should be 0,180, and 360).  Then we did the notes on Lesson 2.3A, pages 19-20 in the Chapter 2: Trigonometry Notebook.  The assignment for this section is textbook page 108 #1-5, 10, 12, 13, 15,18, 20, but you don't have to be done this assignment until next week, so you should keep your focus on Thursday's T1 and T2 test (make sure you know your unit circle!).  Bring a protractor and a ruler to tomorrow's class.

Monday Oct 5:  we went over a few of the Page 96 questions from Friday's assignment and then we did the 2.2 Practice Quiz and the 2.2B Practice Quiz from the quiz booklet I handed out last week.  Reminder that tonight you can do the Exact Values of Trig Ratios worksheet for more practice.  Today's homework is this Trig Equations Worksheets that I handed out today.  If anyone is already finished all of that, there is 2.1 and 2.2 review in the textbook that you can start, to help you prepare for the T1 and T2 (up to page 17 in your notes booklet) Test on Thursday:  Page 126 #1-10 and page 129 #1-3, 6 

Friday Oct 2:   We started with a Unit Circle activity, then we went over any homework problems people had with the page 83 questions that were assigned yesterday.  After that we went through Lessons 2.2.1 and 2.2.3 on pages 14-17 of the Chapter 2: Trigonometry Notebook.  The assignment for Monday is page 96 #1-16,18,21-24,29 (this is a combination of the two assignments at the bottom of pages 15 and 17 of the notes package).   For more practice on this topic,  I handed out this Exact Values of Trig Ratios worksheet, which you can save for Monday's homework.  If you want to play with the Interactive Unit Circle that I showed to the class, here is the link.  

Thursday Oct 1:  we kept on rolling through lesson 2.1.3, pages 10-12 of the Chapter 2: Trigonometry Notebook.  The assignment for this section is textbook page 83 #8,10 -13, 22,23.  We will say that it needs to be done for tomorrow. 

Tuesday Sept 29:  We started with a 2.1.1 practice quiz (key attached).  Then we went over a few of the questions from textbook page 83 #1-7,9,15-17, 20 together.  Then we looked at some very special triangles, and continued through Lessons 2.1.2 on pages 7-9 in the Chapter 2: Trigonometry Notebook.   Your only homework for Thursday is to finish the d,e, and f example 6 questions on page 9.  We need to keep going in the notes booklet before tackling the next homework assignment, but remember that there was the optional Right Angle Trigonometry Review (here is the key) that you could work on if you feel you need the practice.  Reminder that there is no school tomorrow.

Monday Sept 28:  we lose today's class to the Truth and Reconsiliation Presentation.  Reminder - you do still have homework to do (if you haven't already done it)  - textbook page 83 #1-7,9,15-17, 20 for tomorrow.

Friday Sept 25:  I handed out the Chapter 2: Trigonometry Notebook.  We went through the Lesson 2.0 Trigonometry Review on pages 2-3.  From this refresher, you should be able to finish the OPTIONAL assignment - the Right Angle Trigonometry Review (here is the key) that I handed out yesterday.  If you don't feel the need to refresh your right-angled trig skills, that's fine.  We continued through lesson 2.1.1 in the in the Chapter 2: Trigonometry Notebook.  The assignment for this section is textbook page 83 #1-7,9,15-17, 20.  I'll give you until Tuesday to get this assignment done.

Thursday Sept 24:  R9 and R10 TEST.  If you finish with time to spare, I handed out this Right Angle Trigonometry Review (here is the key) that you can work on.  If you need some refreshers on how to do the trig, don't panic - we'll review that in tomorrow's lesson.

Wednesday Sept 23:  we went over a few 1.5 homework problems.  Then we did the 1.5 Mini Quiz.  After a couple more minutes looking at the Number Sequence Activity  most of the class was work time for the two reviews I handed out yesterday.  If you want to see a video about the See-and-say sequence, here it is.    Test tomorrow.

Tuesday Sept 22:   We started by going back to the 1.4 and 1.5 lessons and looking at the examples we skipped that use sigma notation.  Then I took a few minutes to look at the Number Sequence Activity.   Here (finally) is the answer key for it. We also spent a few minutes looking at the biggest (non-AI related) controversy in math over the last 20 years or so. Then I handed out two reviews for Thursday's test: a Chapter 1 Skill Practice Review and a Chapter 1 Word Problem Review.  The files linked here have answer keys, but there are a couple of errors:  on the Chapter 1 Skill Practice Review: #2c is NOT arithmetic "  #9a should be 1400, #13a should be -7174454.  #13b is NOT a bad question, it fits on my calculator just fine and the answer rounds nicely to 125.  Chapter 1 Word Problem Review:  #7 should be $12564.89 (if you call $1000 T1, then you are solving for t11).  Reminder that you should be done the 1.5 assignment:   page 63 #1-5-8,11, 12, 14, 15, 19, 20, for tomorrow.

Monday Sept 19:  we went over some problems from the 1.4 assignment, then we did the 1.4 Mini-Quiz.  Then we did the 1.5 Lesson in the Sequences and Series booklet.  This included a discussion of Zeno's Paradox.   The assignment for this section is textbook page 63 #1-5-8,11, 12, 14, 15, 19, 20.  This should be finished for Wednesday. 

Friday Sept 18:  we went over some problems from the 1.3, page 39 assignment, then we did the the 1.3 Mini-Quiz.  Then  had time to work on the 1.4 assignment: page 53 #1-6, 8,10,11,13,15-19 which is due Monday.   

Thursday Sept 17:  we started by confirming that Ray is indeed right that there is something wrong with the (old!) textbook's answer to page 27 #7b, then we finished the notes for 1.3 and continued through lesson 1.4 in the Sequences and Series booklet.  Then we had time to work on the 1.3 assignment:  textbook page 39 #1-10, 12, 13, 18, 20, 22, 23, 26, 27.  These should be done for tomorrow.  If anyone finishes that, you can move on to start on the 1.4 assignment: page 53 #1-6, 8,10,11,13,15-19. We'll go over that on Monday.

Wednesday Sept 16:  after checking in to see if anyone was stuck on the 1.2 homework (hey - thanks, Ray for pointing out that the textbook has the wrong answer for #7b - it should be either 83160 or 83166), we did the 1.2 Mini Quiz from the booklet.  Then we did the 1.3 lesson in the  Sequences and Series booklet. The assignment for this section is textbook page 39 #1-10, 12, 13, 18, 20, 22, 23, 26, 27.  We'll go over the last couple of examples in the lesson tomorrow, then go through lesson 1.4 and have some work time.  We'll go over the page 39 assignment and quiz it on Friday.

Tuesday Sept 15:  we spent time going over all of the types of problems on the Grade 10 Skill Review, then we had some work time for the 1.2 assignment, textbook page 27 #1-7, 9,10,12,14,16,19,23.  We will go over any problems you have with it tomorrow and then mini-quiz it.  For anyone who is breezing through this stuff and is saying to themselves, "hey, I signed up for honours math because I wanted a challenge" - I have just the thing for you:  I handed out a Number Sequence Activity.   I won't hand out an answer key for it until Monday in case you want to try to solve some of it over the weekend.   I don't expect anyone to solve all of these questions! Think of it as a challenge or puzzle - NOT as curricular expectations!  If you enjoy this sort of challenge, you'll love participating in the math contests this year! 

Monday Sept 14:  we started by seeing if anyone was stuck on any of the textbook page 16 questions assigned on Friday.  Then we did a mini-quiz on that material (Section 1.1) from a booklet of quizzes that I handed out.  Please DON'T do the rest of those quizzes for homework!  They are meant to be done in class as practice for the upcomming test.   If you missed class and want to try the mini-quiz yourself, the answer key is at the end of the file link.  After that, we went through Lesson 1.2 in the Sequences and Series booklet.   The homework is textbook page 27 #1-7, 9,10,12,14,16,19,23.   Tomorrow, I'll go over more of the questions from the Grade 10 Skill Review (like some of the factoring) and then give you some time to work on the 1.2 homework.

Friday September 11: I fielded a few questions about the exercises on the grade 10 skill review sheet, then we looked at Lesson 1.1 in the Sequences and Series booklet that I handed out today.  The homework for Monday is textbook page 16 #1-11,15,19,21,24,25.  Also, Monday will be the last time I use class time to help you understand how to do the material on the grade 10 skill review sheet, so make sure you have tried it all by then and come in prepared to ask about any of these skills that you need a refresher on.   

Thursday September 10:  Welcome to Honours Pre-Calculus!  Here is the course outline and an overview of the curriculum.  Here is a Grade 10 Skill Review, just to refresh some skills while I  hand out your textbook.   The questions on the Grade 10 Skill Review should be things you already know how to do, but don't panic if you need a little bit of refresher on those skills.  Definitely panic and run, don't walk, to your counselor to switch to Applied or Essential Math if you can't do any of it!  If you want to work on it some more tonight, great - but if you want to finish it up over the weekend, we'll go over it starting on Monday.

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!

Grade 11 Pre-Cal Textbook can be downloaded here.

Here is the formula sheet for the course
Grade 11 Video Lessons can be Viewed here.

Grade 9 Math - 10F and 10T - Slot 5 Semester 1

OPERATIONS WITH RATIONAL NUMBERS TEST MONDAY OCT 26

Tuesday Oct 20:  we went over some textbook page 140 questions from #1-13  then we had some time to work on the rest of yesterday's assignment.  If you are finished, you can start to do some review for next week's test.  I handed out an old practice quiz  that you should do without touching your calculator and a calculator challenge to practice using your calculator.  Here is an answer key for them both.

Monday Oct 19:  we went over pages 25 and 26 in the  Unit 1: Rational Numbers Notes Booklet.  The rest of the class was time to work on textbook page 140 #3-8, 10-14, 16-18,21.  Make sure that you only use the calculator on questions that SAY to use a calculator. If you don't finish to the end of #13 by the end of the class, you have to finish it for homework.  If you finish with time to spare, you can try the Six Seven Challenge.  

Friday Oct 16:  we started class by going back to the examples on pages 23-24 of the Unit 1: Rational Numbers Notes Booklet  and tried using our calculators to do the BEDMAS in one calculation.  Then we had time work on the Quick Practice questions on page 25 and the word problems on page 26.  A fun way to do this homework is to do questions by hand, showing your work step-by-step, like we did in our examples in class, then once you have a solution, try to use your calculator to get the solution in one single calculation.   If you don't finish these two pages by the end of the class, they are homework for Monday. If you finish with time to spare, try the Six Seven Challenge. I'll post solutions for it next week.  Have a great weekend!

Thursday Oct 15:  Identifying, Comparing and Ordering Rationals Test.  Students who finish with time to spare can work on the Quick Practice questions on page 25 and the word problems on page 26 of  Unit 1: Rational Numbers Notes Booklet.

Wednesday Oct 14:  we had some more time to work on the  Rationals: Comparing and Ordering Extra Review .  Reminder that we test that material tomorrow.  We also went back to the  Unit 1: Rational Numbers Notes Booklet and went through the BEDMAS examples on pages 23-24.  If you finish tomorrow's test with time to spare, you can work on the Quick Practice questions on page 25 and the word problems on page 26.

Tuesday Oct 13:  we corrected the "Dividing Rational Numbers (fractions"" examples and the "Quick Practice" questions on page 22 of the Unit 1: Rational Numbers Notes Booklet.  Then we did a quick review of the Comparing and Ordering Rational Numbers skills from the start of the unit.  We went over the Trans test on these outcomes and then we discussed what will be different about these skills on the test we'll do on Thursday.  For one last review on this material, I handed out this Rationals: Comparing and Ordering Extra Review to work on for the rest of the class.  We'll have some more time to finish it up a go over some of it tomorrow.

Friday Oct 9:  we went over the page 19 "Quick Practice" questions in the  Unit 1: Rational Numbers Notes Booklet.  Then we went through the Dividing Rational numbers lesson on pages 20-22.  Your homework is to complete the  "Dividing Rational Numbers (fractions"" examples and the "Quick Practice" questions on page 22.  Have a great long weekend! 

Thursday Oct 8:  we went over the word problems on page 16 of the Unit 1: Rational Numbers Notes Booklet .  After that, we got into the mulitplying rational numbers notes on pages 17-18 of the Unit 1: Rational Numbers Notes Booklet.  Your homework for tomorrow is to do the quick practice questions on page 19.

Wednesday Oct 7:  we started with going over some of the questions from  textbook pages 111 and 119 and we went over how to do page 113 and 120 together.  Then we did a practice quiz on adding rational numbers.  If you missed class and want to try it yourself, there are 2 versions you can download:  Version A (and the key) and Version B and the key).  Students in class were given one version to do in class and the other to use as homework practice.   Then we got back to page 15 of the Unit 1: Rational Numbers Notes Booklet (and discovered thanks to Edwin that my answer to quick practice f was wrong it should be -7 32/33).  Then we had the rest of the class to try the word problems on page 16.  You should be done these for tomorrow.  

Tuesday Oct 6:  for a warm up, we did this review of integer skills (front) and fraction skills (back) worksheet and corrected it.  I showed the class some fun shortcut tricks on their calculators.  The rest of class was time to finish up those page 111 and 119 questions.  Reminder that the questions were:  textbook  page 111 #5,7,9,11 and page 119 #3,5,7,9,13.  If you aren't finished them by the end of the class today, they are homework for tomorrow.  If you are done all of that, you should work on some Pascal or Intermediate Contest practice.

Monday Oct 5:  I had a guest teacher today, so it was a work period for textbook  page 111 #5,7,9,11 and page 119 #3,5,7,9,13.  If you finish those and you are up for a challenge, you can try page 113 #20 and page 120 #15, but I don't expect everyone to get those!

Friday Oct 2:  we started by going over the rest of the Rational Number Review Assignment (the answer key is in the link) and the Extra Practice 1 sheet. Then we did a Trans Math test on Comparing and Ordering Rational numbers.  People who finished early had time to work on the "Quick Practice" questions on page 15 of the Unit 1: Rational Numbers Notes Booklet.   I gave the class the answers to these questions at the end of the period.  You are homework free for the weekend!  Huzzah!  Make sure to bring your textbook in to class on Monday.

Thursday Oct 1:  we went through the "Quick Practice" questions on page 12 of the Unit 1: Rational Numbers Notes Booklet, then we did the word problems on page 13 together before moving on to the Subtracting Rational Numbers lesson on pages 14-15.  The assignment for this section is the "Quick Practice" questions on page 15.  You can work on them tomorrow when you finish the little Trans test we're going to do on comparing and ordering rational numbers.  To get ready for that, you should spend the rest of this class and some time tonight finishing up the Rational Number Review Assignment (the answer key is in the link) and the Extra Practice 1 sheet that I handed out on Monday.

Tuesday Sept 29:  we went over the Categorzing, Comparing, and Ordering Review sheet from Friday and the first page of the Rational Number Review Assignment together.  Then we went back to the  Unit 1: Rational Numbers Notes Booklet and went through the adding rational numbers lesson on pages 11 and 12.  Your homework for this section is the "Quick Practice" questions on page 12.  If you finish that with time to spare, you can go back to finish the two review assignments I handed out yesterday:  one says Extra Practice 1 on it, the other says, Rational Number Review Assignment.  The first one has its own key on the back, the second one has an answer key in the file linked in this post.  We will do a Trans Math test on Friday on this material.

Monday Sept 28:  we went over page 101 #12 together, then I gave the class time to finish up the Categorzing, Comparing, and Ordering Review that I handed out last week. It has to be done for tomorrow.   I also handed out a couple of review assignments:  one says Extra Practice 1 on it, the other says, Rational Number Review Assignment.  The first one has its own key on the back, the second one has an answer key in the file linked in this post.  Do the Rational Number Review Assignment. first - let's say the first page of this is due for tomorrow.

Friday Sept 25: we went over page 101 #23 and 25 together.  Then I handed out a warm up handout that has some Trans-level questions and a couple of grade 9 level number lines.  If you missed class and want to download it and try it yourself, here is the link for it (the answer key is at the end of the file).  Then we had a few minutes to try Page 101 #12, if you don't finish it in class today it is homework for Monday.  Also, over the weekend, see if you can finish the Categorzing, Comparing, and Ordering Review that I handed out yesterday - we'll say that it is due for Tuesday.  

Thursday Sept 24:  We started with a number categorizing activity, then we went over the textbook questions, page 101 #8-11,21 from yesterday, then we had some work time for Page 101 #23-25. I gave the class some work time, but if you don't finish those questions, they are homework for tomorrow.   If you do finish the textbook questions you can get started on this Categorzing, Comparing, and Ordering Review.  

Wednesday Sept 23:  we corrected the "quick practice" questions on page 10 of the Unit 1: Rational Numbers Notes Booklet.  Then we had time to work on the textbook  page 101 questions that I assigned yesterday: #8-11, 21, 23-25.  You must be done up to #21 for tomorrow.  In class tomorrow, I will give you a little more time to finish #23-25.  We finished up class by watching a video of a mathematically interesting hotel.  If you want to re-watch the Hilbert Hotel video I showed to the class today, here is the link.  We ended the class spending a few minutes discussing its implications. 

Tuesday Sept 22: First, we went over some of the textbook page 101 and page 103 assignment from Friday. Then we went over Example 5 on page 9 of the Unit 1: Rational Numbers Notes Booklet.  Then we finished up the rest of the examples on pages 9 and 10.  Your homework for tonight is to do the "Quick Practice" questions on page 10.  If you finish that, work on the textbook assignment for this textbook  page 101 #8-11, 21, 23-25.  These should be done for Thursday.  I will give you some work time for that tomorrow.

Monday Sept 21:  we corrected the the Fraction/Decimal/Percent practice page,  Then we went through the lesson on pages 8 and most of page 9 of the  Unit 1: Rational Numbers Notes Booklet.  We will finish up pages 9 and 10 tomorrow.  For homework tonight, see if you can do examples 5 to 8 on page 9. We'll pick it up there tomorrow.

Friday Sept 18:  we went back to  Unit 1: Rational Numbers Notes Booklet and we went through the examples on pages 6-7. Then we had time to work on textbook page 101 #5-7 and page 103 #26, 27.   If you are already done the textbook assignment, go back and make sure you are finished this Fraction/Decimal/Percent practice page from earlier in the week.  If anyone is done all of that, they could work on the 2026 Pascal Math Contest that I handed out to a few students the other day.  If you want to see how you are doing on those problems, here is a link to the solutions.  If you enjoy this kind of math, we are always looking for more mathletes to participate in math contests - see me for more details!

Thursday Sept 17: I handed out the Unit 1: Rational Numbers Notes Booklet and we went through pages 1-5.   That takes us to the assignment: textbook page 101 #5-7 and page 103 #26, 27, these questions are due for Monday.

Wednesday September 16:  I handed out a little practice quiz on the Fraction to Decimal notes that we have been working on over the last couple of classes (the file here has an answer key if you missed class and want to try it for yourself).  After we corrected that, we continued the notes into Percent conversions and refreshed our memories on how to handle Fractions/Decimals/Percents of numbers larger than 1 and smaller than 1%.  Then I gave the class some time to work on the practice page that I handed out on Monday.  You should be done it for Friday.  

Tuesday September 15:  we corrected the Venn diagram activity handout from yesterday and we went over the solutions to the  BEDMAS puzzles page that I handed out on our first class last week.  If you missed today's class and want to correct your work on your own, here is the key to the venn diagrams and here is the key for the Bedmas puzzles.  Then we went back to the notes we started yesterday and finished up Fraction to Decimal converstions, before moving on to Decimal to Fraction conversions.  Tonight, you can work on the  practice page that I handed out yesterday, but I will give you work time tomorrow after we review percents.  Let's say it should be done for Friday.  

Monday September 14:   we started with a venn diagram activity to help us think about how we categorize numbers.  Here is a copy of the handout.   We ended class by reviewing some grade 7 and 8 skills on how to switch numbers from their Fraction form to their Decimal forms.  I handed out this practice page that you can start on tonight if you'd like, but we won't correct it until later in the week, so it's not homework yet.  We have to finish up the notes we started today first.

Friday September 11:  we started with a quick round of the 24 game.  If you want to play this game yourself and use the online solver I was using in class to see if you are really stuck, here is a link to it. Then we played a little game with the numbers on the bottom of our textbooks.   Over the weekend, see if you can finish up the  BEDMAS puzzles page that I handed out yesterday.  

Thursday September 10:  Welcome to Grade 9 Math!  Nothing too strenuous on the first day!  We learned how to play 24!  Then we went over the course outline.   I  handed out these BEDMAS puzzles for you to try while I handed out and assigned textbooks - it is NOT homework for tomorow.  You can have some more time to play with that worksheet tomorrow.    See you tomorrow!

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 AN E-COPY OF THE TEXTBOOK