CHAPTER 3 TEST MONDAY MARCH 23
Thursday March 19: we did the Congruent Triangle Activity. 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. No new homework for this activity, so you can spend time this weekend getting ready for Monday's Chapter 3 test (see yesterday's post for review questions). On Tuesday we will discuss the questions I left you with at the end of the activity (the last diagram in the booklet and the question of AAA or AAS).
Wednesday March 18: we started with one last check in to see if anyone had and problems with the page 136 cosine law problems, then we did a 3.3 ACC (Cosine Law) ( the file has a key). After that I gave the class time to work on the 3.4 assignment, page 147 #3-5,8-10. If you finish that, you can 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 Monday's test.
Tuesday March 17: Happy St. Patrick's Day! We started by going over some of the textbook page 136 problems. Then we went through the examples on pages 9-11, Lesson 3.4 in the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. Today's lesson assignment is textbook page 147 #3-5,8-10. I'll give you work time for it tomorrow.
Monday March 16: we started by going over a few of the page 124 Sine law questions together. Then we had some time to work on the cosine law textbook assignment page 136 #1-7,9-11,13,15.
Friday March 13: we started by checking in to see if there were any more page 124 problems that studens tried but couldn't solve. Then we checked understanding by having students try this 3.2 ACC ( Acute Sine Law) ( the file has a key ). Then we went back to the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet and we went through the Cosine Law examples on pages 8 and 9 Lesson 3.3 . The assignment for this lesson is page 136 #1-7,9-11,13,15. I'll give you more work time for it on Monday, but it would be a good idea to try a few over the weekend.
Thursday March 12: we started with some more work time for textbook page 124 #2-17, then we went over a couple more of the word problem questions together. Then we looked at Lesson 3: where we derived and did the of examples of the Cosine Law on pages 6 and 7 of the Chapter 3: Using Trigonometry to Solve Acute Triangles Notes Booklet. If you aren't finished the rest of the page 124 questions, they are homework.
Wednesday March 11: we went over the Chapter 2 test today, then we had work time for the page 124 assignment from yesterday. Towards the end of the class, I went over a few of the problem solving questions with the class. This is a pretty big assignment, so I will give you a little more work time tomorrow.
Tuesday March 10: we started with the last two examples in the Chapter 3 Introduction - Right Angle Trig Review Notes, then we had a quick check-in to see if anyone had problems with the Right Angle Trig Practice sheet from Friday, then we did a 3.1 ACC just to make sure everyone can do a SOHCAHTOA problem. 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.
Monday March 9: Chapter 2 test. If you finish the test with time to spare, work on the Right Angle Trig Practice sheet that I handed out on Friday (here is the answer key).
Friday March 6: After a quick check in to see if anyone had any questions about the Chapter 2 reviews, I handed out this Chapter 3 Introduction - Right Angle Trig Review Notes. We went through the notes and the examples together, then I handed out this Right Angle Trig Practice sheet. Here is the answer key. You should have this done for Tuesday. Bring it with you on Monday and you can work on it if you finish the Chapter 2 test with time to spare.
Thursday March 5: we started by going over some of the page 99 homework problems, then we went over a few problems from the Angles of Parallel Lines worksheet (here is the key). After that, I gave the class more work time to finish up the 2.1-2.3 Review (here is the key for that) or the Chapter 2.4 Review (here is the key to correct it) . If anyone is finished all of that and wants more review, there is a textbook review on page 104 #1,2,4-6 (self test) and page 106 #2-5,7-11 (chapter review). Test is Monday. We start chapter 3 tomorrow. Don't forget to make a study sheet!
Wednesday March 4: we started with some work time for page 99 #1-3,6,7, which should be done for tomorrow. If anyone is finished that, they can work on the 2.1-2.3 Review (here is the key for that). I also handed out this 2.4 Review (here is the key for that). We test this chapter on Monday. If you finish the handout reviews, you can work on this Angles of Parallel Lines worksheet (here is the key for that one). If you feel you need more review that all of the worksheets, you can find textbook review on page 104 #1,2,4-6 (self test) and page 106 #2-5,7-11 (chapter review).
Tuesday March 3: we started class by going over the 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. The 2.4 assignment is page 99 #1-3,6,7. I'll give you some more work time for it tomorrow.
Monday March 2: 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, I gave the class work time for the 1.3 assignment, textbook page 90 #2-5,7,10,13,14,15. If anyone finishes that, they can start on this 2.1-2.3 Review (here is the key for that). If you don't finish that page 90 questions in class, they are homework for tomorrow.
Friday Feb 27: we started with 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. Then 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. I'll give you a little more work time for this on Monday.
Thursday Feb 26: we started with some time to work on the page 72 and 78 questions, 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 tomorrow. For your homework tonight, finish the page 72 and 78 questions if you couldn't finish them in class, then see if you can finish the "proof" of the NON-adjacent Interior Angle Theorem that we started in class today.
Wednesday Feb 25: we started with a line drawing activity with an interesting result, then we watched this 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. I'll give you some more work time for these tomorrow. If anyone is interested in watching the rest of the cartoon I showed you a clip from today, here is the link.
Tuesday Feb 24: Chaper 1 test. If you finish with time to spare, I can lend you scissors to try to solve the 5-Triangle Puzzle from last week. Alternately, you can keep working on the measurement examples that we skipped in Friday's class in the Chapter 2: Properties of Angles and Triangles Notes Package or you can get started on the 2.1 and 2.2 assignments, Textbook Page 72 #2,5,6 and page 78 #1,2,4,17,20. I'll give you more time to work on these tomorrow.
Monday Feb 23: we were supposed to test Chapter 1 today, but since we lose part of it to the Registration meeting, I moved it to tomorrow. So we started class by me asking if anyone was stuck on any of the Chapter 1 Review Booklet problems. Then we picked up where we left off in the notes for Chapter 2.1 and 2.2, and did notes on pages 10-12 of the Chapter 2: Properties of Angles and Triangles Notes Package. If you missed today's lesson (and/or Friday's), 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 - you can get started on it tomorrow if you finish the test with time to spare.
Friday Feb 20: 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 Monday. Don't forget to make a study page for Tuesday's test.
Thursday Feb 19: we started with a problem known as the Tax Collector problem (here is the solution). Then we had time to work on the the Chapter 1 Review Booklet (here is an answer key for the 1.2 to 1.6 sections of the review). Remember that if you want a break from the review sheets, you can try the Logic Problem (here is the key) and this practice Sudoku, (here is the key). I also handed out this 5-Triangle Puzzle. We'll start unit 2 tomorrow, but we'll give you the weekend to get ready for the unit 1 test on Monday. If anyone wants more Chapter 1 review before we test on Monday, there is a Self-Test and Chapter Review in your textbook on pages 58-62. Reminder: make yourself a study sheet for Tuesday's test.
Wednesday Feb 18: we started class by going through textbook page 48 #1-11 problems together. After that, the class had class time to work on the Chapter 1 Review Booklet (here is an answer key for the 1.2 to 1.6 sections of the review). We ended the class with this Introduction to Sudoku puzzle. If you want to take a break from the textbook and review questions, here is a Logic Problem (here is the key) and this practice Sudoku, (here is the key).
Tuesday Feb 17: After explainng the "see and say" pattern from last week, I went into the strategy to win the 15 game. After that we went through over the last pages of the 1.6 lesson in the Chapter 1 Notes Package. and the homework questions from page 42 #1-4, 10. Then I gave the class more time to work on page 48 #1-11 - these should be done for tomorrow. If anyone finishes with time to spare, you can start on the next assignment, which is the last new textbook assignment for unit 1, page 49 #2-4,6-11,14. Anyone done both of those can work on the Chapter 1 Review Booklet (here is an answer key for the 1.2 to 1.6 sections of the review).
Thursday Feb 12: We started with the notes and examples for Lesson 1.6 in our Chapter 1 Notes Package. Then I gave the class a few minutes of time to work on the textbook page 42 #1-4, 10 questions. If you finish those, the new assignment is page 48 #1-11. You should be done page 42 for Tuesday, and in Tuesday's class I will give you more time for page 48. If you happen to finish both of these textbook assignments, I handed out this Chapter 1 Review Booklet to help you get ready for our Chapter 1 test next week. 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. Enjoy your long weekend!
Wednesday Feb 11: We started by looking at the 64=65 'proof' and finding its flaw. Then we went over some of the questions from the Page 31 #1,2,4,5,7,9,11,20 assignment. We played the "15 game" for a couple of rounds. We'll look at the strategy to win this game (or, at least, to not lose the game) tomorrow. The textbook assignment for tonight is page 42 #1-4,10. If you want a break from those questions during work time in class, you can also try to figure out the "see and say" pattern from yesterday. We ended class by figuring out how this webpage is "reading your mind". I'll let you have some more time tomorrow to work on the page 48 questions.
Tuesday Feb 10: we went back and discussed the last example from the 1.5 lesson in the Chapter 1 Notes Package. 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). After that, we went over the textbook page 17 and 22 questions that were assigned last week. Reminder that you should still do Page 31 #1,2,4,5,7,9,11,20 - we'll go over those tomorrow. We ended with a couple of fun problems - see if you can figure out how this webpage is "reading your mind". Then I introduced you to a number problem that is sometimes called the "see and say problem." I will give you a couple of days to play with those, For tonight, if you are finished page 31's questions, you can move on to Page 42 #1-4, 9,10 or try to find the flaw in the 64=65 proof.
Monday Feb 9: we started by discussing what it means in math to have a PROOF, using Pythagoras as an example. How do we know a^2 +b^2 = c^2 for EVERY right triangle? After that, we watched this video to see an example of students your age found a new proof of pythagoras that textbooks used to say was impossible. After that, we went over the a-e examples on pages 12-13 of the Chapter 1 Notes Package. Then we went through the examples and notes for Lesson 1.5. Your only new homework for tonight is to finish the textbook questions (if you didn't finish them in class on Friday) and try to find the mistake or reasoning error in the last example we did today (or did we really just prove that 2=0 ! Did we break Math?). We'll discuss it tomorrow.
Friday Feb 6: I had a guest teacher in, so I gave the class time to work on the a to h examples on pages 12-13 of the Chapter 1 Notes Package. Then textbook Page 17 #2 and Page 22 #1,3,4,5,7,15,16, and Page 31 #1,2,4,5,7,9,11,20. You can also work on the Essential Skills Review (here is the answer key). We'll start going over it on Monday. For Monday's class you should be done the pages 12-13 of the notes package and the textbook pages 11 and 22 questions. I'll give you more time for the page 31 assignment on Monday.
Thursday Feb 5: We started the class by looking at the solutions to the circle cord problem for page 5 of the Chapter 1 Notes Package and the 8^n vs 9^n-1 problem from Tuesday. After that, we continued into the notes and finished up lessons 1.2, 1.3, and 1.4 up to page 12. You can finish the a to h examples on pages 12-13 for homework. After that, I assigned our first textbook assignment of the semester, Page 17 #2, Page 22 #1,3,4,5,7,15,16, and Page 31 #1,2,4,5,7,9,11,20. I'll give you some time to work on them (and the Essential Skills Review booklet) tomorrow -here is the answer key for the Essential Skills Review.
Wednesday Feb 4: We started with thinking about patterns in numbers. Some 'hints' for the questions on the Essential Skills Review. You can have some class time on Friday to keep working on that booklet, so don't think of it as homework until the weekend. The only things you should do tonight (if you haven't already done them) are the two problems I left you with yesterday: the circle cord conjecture from page 5 of the Chapter 1 Notes Package and the "is 8^x always going to be larger than 9^(x-1)? Make a conjecture" problem that I wrote on the board.
Tuesday Feb 3: we continued our little game with the numbers from our textbooks that we started yesterday. Then 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. Finally, I handed out this Essential Skills Review, that will be homework for later in the week - but if you are keen to work ahead, see how much of it you can do without hints.
Monday Feb 2: 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 ask you to consider what 4 digits would you pick to try to win the game we played where we took the highest number you could make with 4 digits and subtract the lowest number you could make with 4 digits and the goal was to have the greatest possible difference between the two numbers.
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 1.1, Chapter 1.2, Chapter 1.3, Chapter 1.4, Chapter 1.5, Chapter 1.6, Chapter 1.7,
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
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