CHAPTER 3 TEST TUESDAY - DON'T FORGET TO MAKE A STUDY SHEET (with the formulas!)
Monday Oct 20: 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 besides the question I left you with at the end of the activity (the last diagram in the booklet and the question of AAA or AAS).
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,
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