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**Welcome to the Wiki for Mr. Oldridge's Grade 12 Functions Class (MHF4U)**
You can contact Mr. Oldridge at **any time** at noldridge@torontoprepschool.com

Daily class updates:


 * Tuesday, January 17, 2012:** Here are numerical answers for the Review Questions that have been handed out.




 * Friday, January 13, 2012:** We reviewed Chapters 4 and 5 today. If you want even more exam review, you can check out these questions from the textbook:

p. 479 # 1, 3, 4, 6, 8, 11bc, 13b, 14, 15, 16. p. 480 # 17, 18(iii), 20, 21a. p. 481 # 23, 24, 26, 27, 28, 31, 32ab, 33ac. p. 481 # 35, 36, 39ac, 42, 43ac, 44cd, 45, 47ab.


 * Thursday, January 12, 2012:** We reviewed the graphs of rational functions and worked on the assignment. Students who completed the assignment reviewed for their upcoming exam.


 * Wednesday, January 11, 2012:** If you are looking for blank tests and quizzes, see Mr. Kinnear's wiki. We reviewed Chapters 1 and 2, and worked on the assignment, which is due on Friday.


 * Tuesday, January 10, 2012:** We continued to work on the assignment. The assignment will be due on Friday.


 * Monday, January 9, 2012:** We continued work on an assignment about combining functions.


 * Wednesday, December 21, 2011:** Here are some questions to help you begin review for the exam. They are not homework:

p. 196 # 1a, 2, 4, 12, 13, 14, 15, 16, 18, 21ii, 22, 23, 24a, p. 304 # 1, 3, 10, 11, 12, 14, 18. p. 476 # 1c, 2acd, 6, 9a, 10ce, 12a, 13a. and 13c p. 479 # 1, 3, 4, 5, 6, 8, 11bc, 13b, 14, 15, 16. p. 480 # 17, 18(iii), 20, 21a. p. 481 # 23, 24, 26, 27, 28, 31, 32, 33. p. 482 # 36, 39ab, 42, 43ac, 44cd, 45, 47ab.


 * Tuesday, December 20, 2011:** We prepared for tomorrow's unit test. Blank quizzes are above. Additional Review Questions are also available above.


 * Monday, December 19, 2011:** We wrote a __S__hort quiz (not for marks) __A__nd took up a couple of the questions fro__M__ it.

Recommended review questions (not homework): p. 356 # 1ai, 1ci, 2ai, 2ci, 3b, 4c, 8, 9, 13ac. p. 358 # 1, 4, 5a, 6ab, 8. p. 408 # 3, 4, 5, 7, 10a, 12, 14. p. 410 # 6, 9, 11.

The Unit Test is on Wednesday, as originally scheduled. Blank quizzes posted about.


 * Friday, December 16, 2011:** Solving logarithmic equations. Homework: p. 391 # 1abdf, 2abe, 3abcde, 6. Additional questions can be found on this sheet: [[file:7.4 Techniques for solving logarithmic equations.pdf]]


 * Thursday, December 15, 2011:** Product and Quotient Laws of Logarithms. Homework: Page 384 #1, 4, 5, 6, 10 + The worksheet handed out in class ("7.3 Worksheet")
 * Wednesday, December 14, 2011:** Half-life - Application of Exponential Functions. Handout + Homework: [[file:7.2 Applications of exponential equations.pdf]]


 * Tuesday, December 13, 2011:** Quadratic Exponential Expressions. Homework: Page 375 #6, 7, 10, 11 + Two questions given in class.


 * Monday, December 12, 2011:** We wrote a quiz about logarithms (not for marks) and learned about solving simple exponential equations. Homework: Page 368 #5,6,7,10,11ab + Page 375 #2,4,5


 * Friday, December 9, 2011:** We learned to solve exponential equation with a special rule of logarithms (The "Power Law"). Homework: Page #347 #1, 2ab, 3-6, 7a, 9, 10, 13.


 * Thursday, December 8, 2011:** We learned to convert log graphs to their equations. Homework: Finish Question 5 from yesterday's sheet. Also, do Page 337 #C1, 1-7, 13.


 * Wednesday, December 7, 2011:** We learned to graph simple logarithmic functions. Homework: Try what you can of #4 on the back of the sheet handed out today.


 * Tuesday, December 6, 2011:** We learned about interconverting logarithmic form <--> exponential form and solving simple logarithms. Homework: Page 328 # 1, 2, 3, 4, 5, 8, 10.


 * Monday, December 5, 2011:** Intro to Exponential Functions and their Inverses (Logarithms). Homework: Page 318 # 1, 2, 5, 6, 7, 8, 9ac, 11, 12abc, 13abc, 14, 15abc, 16abc, 19, 20, C1.


 * Friday, December 2, 2011:** We took up the test and got a small introduction to exponential functions. The assignment must be finished by the time you leave on Monday.


 * Thursday, December 1, 2011:** Most wrote the unit test today. Others worked on the assignment. If you would like to prepare yourself for the next unit, we suggest: p. 318 # 1, 2, 5, 6, 7, 8, 9ac, 11, 12abc, 13abc, 14, 15abc, 16abc, 19, 20, C1.


 * Wednesday, November 30, 2011:** Some wrote the test, others worked on the assignment, and others studied for the test they will write tomorrow. If you haven't written the test yet: Study hard tonight! If you wrote the test today, take the night off.


 * Tuesday, November 29, 2011:** We took up the quiz and a sheet about graphing trig functions. You can write the test tomorrow or Thursday (your choice!). Additional review questions: [[file:Additional review questions (Ch 4-5).pdf]]. Answers: [[file:Additional review questions (Ch 4-5) solutions.pdf]]

p. 244 # (1-4)c, 17, 18, 20, 22, 23; p. 300 # 1, 2, 4, 5a, 7ab, 8, 9d, 10a, 11; p. 302 # 8, 10, 11, 12, 14.
 * Monday, November 28, 2011:** We wrote a short quiz (not for marks) and began the Unit's assignment. Your highest priority should be to study for the __Unit Test, which you can write in class on either Wednesday or Thursday__(each student gets to choose for themselves!). Recommended review questions:

Page 287 #9-12,14,16-20.
 * Friday, November 25, 2011:** We reviewed how to solve trig equations and how to sketch the graphs of trig functions. Homework: Complete the questions from


 * Thursday, November 24, 2011:** We learned to solve more complicated trig equations. Homework: Page 287 #9-12,14,16-20.


 * Wednesday, November 23, 2011:** We learned how to solve trigonometric equations. Homework: Page 287 #1, 3, 5a, 7a


 * Tuesday, November 22, 2011:** We continued graphing sin and cos waves that have been transformed, including periods that have (pi) in it. Homework, due tomorrow: Page 258 #5-13 and Page 275 #1abd, 2a, 3, 5ab, 6ab, 10a, 11a, 12.


 * Monday, November 21, 2011:** We learned how to graph sin and cos waves that have been transformed. Homework, which will be checked on Wednesday: Page 258 #5-13 and Page 275 #1abd, 2a, 3, 5ab, 6ab, 10a, 11a, 12.


 * Thursday, November 17, 2011:** We wrote a short quiz. There will be a short quiz about graphing tan, sec, csc and cot on Monday.


 * Wednesday, November 16, 2011:** We worked on a worksheet about each of the reciprocal trigonometric ratio. Today's handout: [[file:5.2 Worksheet.pdf]]. Handout: Finish the back of the sheet for tomorrow.


 * Tuesday, November 15, 2011:** We learned about the graphs of tan x, sec x, csc x, cot x. Homework: Finish the graph of y = cot x


 * Monday, November 14, 2011:** We wrote a short quiz about trigonometric identities and finished investigating the sin/cos/tan graphs in radians. No homework.


 * Friday, November 11, 2011:** We took up our trigonometric identity homework. We began a sheet about sine and cosine graphs. Handout: [[file:5.1 The sine function and the cosine function.pdf]]. This sheet needs to be finished for Tuesday.


 * Thursday, November 10, 2011:** We continued our strenuous quest through trigonometric identities. Homework: The backside of the homework sheet from yesterday. Students who have not completed all homework from the week will be invited to join me on Saturday.


 * Wednesday, November 9, 2011:** We continued trigonometric identities. Handout: [[file:4.5 Trigonometric identities (part 2).pdf]] Homework: The front of this page: [[file:4.5 Trigonometric identities (part 2) worksheet.pdf]]


 * Tuesday, November 8, 2011:** We took up the quiz, and wrote a second quiz. We took up a couple of the questions from today's quiz in class. Homework: Finish Page 240 #1-8, 1--13 if you haven't already. Want more practice? Here are some of the trig identities you may have seen last year: [[file:Handout 29 - Trigonometric identities worksheet.pdf]]


 * Friday, November 4, 2011:** We took up the homework and wrote a quiz. Here's a blank copy: [[file:Nov 04 11 - Quiz on Trig.pdf]]


 * Thursday, November 3, 2011:** Trig Identities (Part 1). Quiz tomorrow (not for marks). Homework: Page 240 # 1–8, 10–13.


 * Wednesday, November 2, 2011:** Compound angle formulas. Homework: Page 232 # 3, 4, 5, 6, 7, C2.


 * Tuesday, November 1, 2011:** We learned about the relationship between special triangles and the graphs of sin/cos/tan. Homework: Page 216 #7,8.


 * Monday, October 31, 2011:** We reviewed how to find exact trigonometric ratios of special angles, and extended this skill to working with Radians. Homework: Page 216 #1-6.


 * Friday, October 28, 2011:** We learned about radian and degree measures of angles. Homework: Page 208 #1-8.


 * Thursday, October 27, 2011:** We took up the test, and finished the in-class assignment. Tomorrow, we begin a unit about trigonometry. No homework, but remember: If you don't hand in your effort at Page 200 #2,3,6,7,8 by tomorrow, you will be coming in on Saturday to do it.


 * Wednesday, October 26, 2011:** We worked on an in-class assignment. Time will be given in class tomorrow to work on it. If you did not complete yesterday's homework (Page 200 #2,3,6,7,8), you MUST hand it in by Friday.


 * Tuesday, October 25, 2011:** We wrote the Unit 2 Test today (Rational Functions). Homework: Page 200 #2,3,6,7,8. This homework is a review of Grade 11 Trig - it's ok if you can't do it, but you need to realize that you can't do it so that you can catch back up. Show that you at least tried.


 * Monday, October 24, 2011:** Test tomorrow! Study for it tonight! See the link above for blank copies of stuff.


 * Friday, October 21, 2011:** We wrote a quiz (not for-marks) about rational equations and inequalities + word problems. Homework: Study for the test! There are practice questions listed below and we gave out a sheet of additional review questions: [[file:Additional review questions (Ch 3).pdf]]. **Quizzes, handouts and ANSWER KEYS to the last quiz and additional questions can be found HERE: http://tpsadvancedfunctions12.wikispaces.com/3+-+Rational+functions**

p. 192 # 1c, 2, 3bc, 4, 5bcd, 8, 9bc, 10 p. 193 # 11, 13a p. 194 # 4, 5b, 7a, 8a, 9a.
 * Thursday, October 20, 2011:** Work period, reviewing for the upcoming test on Tuesday. Recommended questions:


 * Wednesday, October 19, 2011:** We took up the homework and learned how to handle a couple of applications of rational functions. Homework: The sheet given out in class.


 * Tuesday, October 18, 2011:** We took up the quiz from yesterday, took up the homework, and learned to solve rational inequalities. Homework: Page 183 #4ab, 10, 11, 16, C2, C3.


 * Monday, October 17, 2011:** We wrote a quiz (not-for-marks) and learned how to solve rational equations. Homework: Page 183 # 2, 9abcf. Also remember, I gave personalized homework to some of you.


 * Friday, October 14, 2011:** No class - Ontario Universities Fair Field Trip (All Grade 11s and 12s)


 * Thursday, October 13, 2011:** We reviewed how to graph any of the rational functions that we've encountered so far in the unit. Homework: Finish the sheet, and then do p. 153 # 2, 3, 7cdef, 8, 9, C1 + p. 165 # 2, 4, 8acdg, 9, 10. Reminders: Quiz Monday (not for marks), Quiz Thursday (not for marks), Unit Test Monday, October 24 (for marks)


 * Wednesday, October 12, 2011:** We learned about the reciprocal of a quadratic function. Homework: The handout from class today.


 * Tuesday, October 11, 2011:** We learned how to get the equation of a rational function from its graph. Homework: Page 173 #7,8,9.


 * Friday, October 7, 2011:** We learned about another form of reciprocal functions. Homework: Finish the graphs on the back of the sheet (not the last question, which we didn't learn about) Plus Page 173 #C2, 1, 2, 5ab, 6.


 * Thursday, October 6, 2011:** We took up the Unit 1 Test and reviewed Reciprocal Functions from Grade 11. Homework: Finish the sheet that was passed out in class.


 * Wednesday, October 5, 2011:** We wrote the Unit 1 Test! I will be marking them tonight.


 * Tuesday, October 4, 2011:** We reviewed for the test tomorrow. We also got our quizzes back. Test tomorrow! Answers to the Extra review problems: [[file:DOC001-19.PDF]] and [[file:DOC001-18.PDF]]


 * Monday, October 3, 2011:** We reviewed the three concepts we learned at the beginning of last week: solving polynomial equations, families of polynomial equations and solving polynomial inequalities. Then, we wrote a quiz (not-for-marks) for the rest of the period. UNIT 1 Test is Wednesday in class. Recommended (but not //mandatory//) homework: Page 140 and 142 from the review posted below (September 29, 2011).


 * Friday, September 30, 2011:** We continued to review. There will be a quiz (not-for-marks) on Monday about solving polynomial equations, families of polynomial equations and solving polynomial inequalities. There will be a FOR-MARKS test on Wednesday, covering all of the material we have learned this month.


 * Thursday, September 29, 2011:** We recommend the following review questions for the upcoming test (sometime next week):

p. 140 # 1c, 2a, 3, 4b, 5c, 7, 9, 10a, 13, 14, 17, 18ab. p. 142 # 6bd, 8ad, 9b, 11, 12, 16bd. p. 74 # 4, 5ab, 6, 7, 10, 11b, 12, 13, 15i. p. 78 # 1, 4, 6bc, 8a, 9.


 * Wednesday, September 28, 2011:** We learned about polynomial inequalities. Homework: Page 138 #1, 4, 6bc, 7ac.


 * Tuesday, September 27, 2011:** We learned about families of polynomials. Page 118 #C4, 2-4, 6, 7, 10ac, 11, 12, 15, 16. Challenge: 13.

Page 118: Page 119: Page 120: Page 121:


 * Monday, September 26, 2011:** We continued to solve polynomial equations. Homework: Page 110 #1ad, 3abf, 4abef, 6bcg, 7ef, 8cd, 9f (without technology), 10, 17a. Page 110 to 112: [[file:Page 110-112.pdf]]


 * Friday, September 23, 2011:** We took up the homework from the day before, wrote a not-for-marks quiz, and got a brief introduction to polynomial equations. Homework: Page 110 #1e, 3e, 6e.


 * Thursday, September 22, 2011:** Factor Theorem. Homework: Page 101 # 2, 3a, 5b, 6bdf, 9, 10, 11abde, C4. and Page 91 #5,6. Don't forget: Tomorrow is a Quiz (not for marks) about long division and the Remainder Theorem.


 * Wednesday, September 21, 2011:** We reviewed long division and learned about the Remainder Theorem. Homework: Page 90 #8c, 9c, 14ab, C2, C3


 * Tuesday, September 20, 2011:** We learned about long division of polynomials and practiced. Homework: Page 91 #3


 * Monday, September 19, 2011:** We learned about symmetry and were introduced to long division. Homework: Page 38 #1ii, 3b, 4, 5, 8.


 * Friday, September 16, 2011:** We learned about the x-intercepts of polynomial functions. We also reviewed even/odd functions. Homework: Page Page 38 #1(i)(iii), 2(i)(iii), 3ac, 6, 7. Challenge: Page 38 #11


 * Thursday, September 15, 2011:** We learned about the shapes that different graphs can take. Homework: Page 25 #1, 2d, 3abc, 4-7, 15, 16, C3, C4.


 * Wednesday, September 14, 2011**: We learned about the common differences (1st, 2nd, 3rd, 4th, 5th) of polynomials. Homework: finish the front of the first sheet given out in class (the one with lots of tables).


 * Tuesday, September 13, 2011:** Transformations of power functions. Homework: Page 49 #1ac, 4acef, 5, 7b, 10i, 12i, C2.

Copies of textbook pages, since some students don't have their textbooks yet:




 * Monday, September 12, 2011:** Power functions and polynomials. Homework: Page 11 #C2, C3, 1-4, and 12a.
 * September 7-9, 2011**: School Trip to Camp Wahanowin.
 * September 6, 2011**: School Begins (Half-class). No homework was assigned.