ADVANCED FUNCTIONS (Term 1) |
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FALL TERM |
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Chapter 9: Combining Functions Preparing for the Final Examination |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
Wed, Jan 18 |
MHF4U FINAL EXAMINATION |
Ketchum Hall at 7:50 a.m. |
Good luck, guys! |
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76 |
Tues, Jan 17 |
Review for exam |
Continue with your systematic review for the final exam |
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75 |
Mon, Jan 16 |
Review for exam |
Continue with your systematic review for the final exam |
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74 |
Fri, Jan 13 |
Review for exam |
Continue with your systematic review for the final exam |
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73 |
Thurs, Jan 12 |
Review for exam |
Work through questions on any of the Cumulative Reviews in textbook |
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72 |
Wed, Jan 11 |
9.5 Composition of functions, Part II |
Page 552: # 1;2; 3; 5e; 6b,e,f; 7b,e,f; 14 (repeated) YouTube: Domains YouTube: Alternate approach to domains |
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71 |
Tues, Jan 10 |
Page 552: # 1;2; 3; 5e; 6b,e,f; 7b,e,f; 14 YouTube: Composition of functions YouTube: Composition of functions machines |
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Dec 22 - Jan 9 |
Christmas Break! Have a great holiday!! |
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70 |
Wed, Dec 21 |
9.5 Composition of functions |
Final Exam Date: Wed, Jan 18, 8 a.m. |
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69 |
Tues, Dec 20 |
9.3/9.4 Products and quotients of functions |
Page 537: # 1a,c,e; 4e; 8a,d; 10 Page 542: # 1d; 2b,d (for 1d); 3 YouTube: Products and quotients of functions |
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68 |
Mon, Dec 19 |
9.2 Sums and differences of functions |
Page 529: # 6 - 8; 9c,e; 10 KhanAcademy: Sum of functions KhanAcademy: Difference of functions YouTube: Sums & differences graphically |
Polynomial exam prep Rational exam
prep Trig exam prep Exp & logs exam prep |
Chapter 8: Exponential and Logarithmic Functions |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
67 |
Fri, Dec 16 |
Exam prep class |
Exam Practice Questions (by topic) |
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66 |
Thurs, Dec 15 |
Test on Chapter 8 material |
Mini-Assignment: Handout: #3; 5c; 8b Due: Friday |
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65 |
Wed, Dec 14 |
Consolidation and review class |
Page 510: # 1 - 20 Page 512: # 1 - 9 |
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64 |
Tues, Dec 13 |
8.7 Solving problems |
Page 499: # 4 - 6; 8; 10; 15 |
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63 |
Mon, Dec 12 |
8.6 Solving logarithmic equations |
Page 491: # 4a,c,e; 5a,d,e; 6; 7b,d,f; 9; 10; 12; 16 YouTube: Solving logarithmic equations |
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62 |
Fri, Dec 9 |
8.5 Solving exponential equations |
Page 475: # 4a,c,f; 6; 7c,d; 9b,e; 10b; 11a (repeated) Page 485: # 1d; 2d; 3c,f; 4b; 5e,f; 8b,f; 10c YouTube: Solving exponential equations YouTube: More exponential equations |
Mini-test next class |
61 |
Thurs, Dec 8 |
8.4 Laws of logarithms YouTube: Everything about logs website |
Page 475: # 4a,c,f; 6; 7c,d; 9b,e; 10b; 11a YouTube: Laws of logs YouTube: Using the laws of logs YouTube: Proof of product law of logs |
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60 |
Wed, Dec 7 |
8.3 Evaluating logarithms |
Page 466: # 1d; 2e; 3c,d,e; 4a,d; 5b,c,f; 6e; 9a,b,d,e; 11; 14 YouTube: Evaluating logs YouTube: Convert exp to log and log to exp |
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59 |
Tues, Dec 6 |
8.1 The logarithm function |
Page 451: # 3; 5; 6; 8 YouTube: The log function YouTube: Graphing a log
function YouTube: Common vs natural log function |
Logs are useful in many disciplines! |
! ! ! ! ! ! ! |
Begin to review for the final examination! |
Practice Exam courtesy of Mr. Marco at Abbey Park High School, Halton DSB |
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Chapter 7: Trigonometric Identities & Equations |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
58 |
Mon, Dec 5 |
Test on Chapter 7 |
Mini-Asmt: Exam Review handout: p.1: #1 - 6 |
Due: Wednesday |
57 |
Fri, Dec 2 |
Consolidation and review class |
Review questions: p.440: all questions Chapter Test: p. 441: # 1 - 7; 9; 10 |
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56 |
Thurs, Dec 1 |
7.6 Solving quadratic trig equations |
Page 436: # 5 - 9 (all b,d,f); 10; 14 |
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FINAL EXAM OUTLINE (click here) |
Date: Wednesday, January 18, 2012, 8 - 11 a.m. |
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55 |
Wed, Nov 30 |
7.5 Solving linear trig equations |
Page 427: # 6 - 10 (all a,c,e); 11; 13 |
Mini-test next class |
54 |
Tues, Nov 29 |
7.4 Proving trig identities, Part II |
Handout: Page 197: # 1 - 56 (do as many as you can!) YouTube: Identity proved in 2 ways |
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53 |
Mon, Nov 28 |
7.4 Proving trig identities |
Page 417: # 9 - 11 YouTube: Some suggestions and some proofs YouTube: A
typical trig identity proof |
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Fri, Nov 25 |
Parent/Teacher Interview Day |
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52 |
Thurs, Nov 24 |
Page 407: # 2; 3a,b; 4; 6; 9; 11; 13a; 15a,b YouTube: Using double angle formulas |
Mini-test next class |
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51 |
Wed, Nov 23 |
Page 400: # 5c,d,f; 8d,f; 9a-d; 11; 12a KhanAcademy: Detailed derivation of sine formula YouTube: Deriving the other 3 formulas |
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50 |
Tues, Nov 22 |
Page 392: # 1; 3d-f; 5; 6 YouTube: Equivalent trig expressions |
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Chapter 6: Trigonometric Functions |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
49 |
Mon, Nov 21 |
Test on Chapter 6 material |
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48 |
Fri, Nov 18 |
Consolidate and review class |
Page 376: # 1 - 15 Chapter Test, Page 378: # 1 - 8a |
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47 |
Thurs, Nov 17 |
6.6 Modelling with trig functions |
Page 361: # 5 - 10 |
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46 |
Wed, Nov 16 |
6.5 Graphs of reciprocal trig functions Consolidate recent ideas |
Page 353: # 4; 5; 7c Page 349: # 1 - 9 (do enough!) |
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45 |
Tues, Nov 15 |
6.3 Trig graphs and properties 6.4 Trig transformations |
Page 336: # 2 - 5 Page 343: # 1d; 5a,c; 6d; 8a,e; 9; 13 |
Mini-test next class |
Nov 11 - 14 |
Fall Mid-Term Break ! |
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44 |
Thurs, Nov 10 |
6.2 Radian measure, Part II (Including reciprocal trig functions) |
Page 330: # 1d,f; 4c,d; 5e,f; 8c,d,f; 9; 12; 13; 16 KhanAcademy: Radian measure YouTube: Graphing reciprocal trig functions |
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43 |
Wed, Nov 9 |
6.1/6.2 Radian measure |
Page 320: # 1-4; 6; 7d-h; 8d-h; 9a Page 330: # 1a,b,c,e; 2a,c; 3c,d; 4b; 5d YouTube: Radian measure |
Be sure to learn radian measure well |
Chapters 4 & 5: Polynomial & Rational Equations and Inequalities |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
42 |
Tues, Nov 8 |
Test on Chapter 4 & 5 material |
Due: Tuesday, Nov 15 |
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41 |
Mon, Nov 7 |
Consolidation and review class |
Chapter 4 Test: p.242: # 1 - 5; 7; 8 Chapter 5 Test: p. 310: # 1 - 6 |
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40 |
Fri, Nov 4 |
Page 295: # 1; 2a; 4b,d,f; 5b,d,f; 6b,d,f; 8a,b; 9 KhanAcademy: Rational inequalities YouTube: Solving rational inequalities |
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39 |
Thurs, Nov 3 |
Mini-test; In-class work |
YouTube: Graphing another rational function |
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38 |
Wed, Nov 2 |
5.4 Solving rational equations |
Page 286: # 5a,c,e; 6a,c,e; 7a,c,e; 8a; 9; 12 |
Mini-test next class |
37 |
Tues, Nov 1 |
5.3 Rational functions: (ax+b)/(cx+d) |
Page 272: # 1; 4b; 5c; 6a,b; 8 - 10 YouTube: Graphing rational functions |
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36 |
Mon, Oct 31 |
Page 262: # 1; 2a,c,e,g,i,k; 3 KhanAcademy: Plotting a rational function YouTube: Finding a slant asymptote |
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35 |
Fri, Oct 28 |
5.1 Reciprocal functions |
Page 254: # 1; 4; 5b,g; 6; 7b; 8b; 11; 12 YouTube: The reciprocal transformation YouTube: Graphing reciprocal quadratics |
Mini-test next class |
34 |
Thurs, Oct 27 |
4.3 Solving polynomial inequalities |
Page 225: # 1b,c; 2a; 4; 6b,d,e; 7d,e,f; 11 YouTube: Polynomial inequalities |
Omit Section 4.4 |
33 |
Wed, Oct 26 |
4.2 Solving linear inequalities |
Page 213: # 5e,f; 6c,f; 7e,f; 8; 9; 12 KhanAcademy: Linear inequalities |
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32 |
Tues, Oct 25 |
4.1 Solving polynomial equations, p(x)=0 |
Page 204: # 6d,f; 7d,e; 8c,e,f; 9d; 10; 13; 14 |
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Chapter 3: Polynomial Functions |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
31 |
Mon, Oct 24 |
Test No. 3 on Chapter 3 |
Due: Mon, Oct 31 |
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30 |
Fri, Oct 21 |
Consolidation and review class |
Chapter Test, Page 186: #1 - 6; 8; 9 |
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29 |
Thurs, Oct 20 |
Mini-test and in-class work |
Begin your preparations for Monday's test! |
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28 |
Wed, Oct 19 |
Page 182: # 2a,c,e,g,i; 3a,b,d; 4e,f,g; 5 YouTube: Sum/Diff of Cubes |
Mini-test next class |
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27 |
Tues, Oct 18 |
3.6 Factor and remainder theorems, Part II |
Handout: Attempt any 2 parts from each of # 1 - 7 YouTube: Rational Roots Theorem |
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26 |
Mon, Oct 17 |
Page 177: # 4d; 6b,d,f; 7a,c,e; 10; 12 YouTube: Remainder & Factor Theorems |
Mini-test next class |
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25 |
Fri, Oct 14 |
3.5 Dividing polynomials, Part II |
Page 169: # 5d,f; 6c,d,f; 8a; 10a,c,e; 11 YouTube: Synthetic division example YouTube: Alternative to long division? |
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24 |
Thurs, Oct 13 |
Page 169: # 5d,f; 6c,d,f; 8a; 10a,c,e; 11 YouTube: Poly long division |
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23 |
Wed, Oct 12 |
Mini-test followed by In-class assignment |
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22 |
Tues, Oct 11 |
3.3 Factored polynomials, Part 2 3.4 Cubic and Quartic functions |
Page 148: # 12; 14; 15 Page 155: # 2; 3; 4b,e |
Mini-test next class |
21 |
Fri, Oct 7 |
3.3 Characteristics of factored polynomials |
Page 146: # 1; 4; 6a,c,e,f; 8a; 9b; 10; 12a |
Happy Thanksgiving!! |
20 |
Thurs, Oct 6 |
3.2 Characteristics of polynomials: Numbers of turning points & roots; large-scale behaviour |
Page 136: # 3; 4d,f; 5; 6a,b; 7a,c,e; 8; 13 |
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19 |
Wed, Oct 5 |
Page 127: # 1; 2; 4; 5 YouTube: Polynomial Introduction YouTube: Classifying Polynomials |
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Chapter 2: Rates of Change of Functions |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
18 |
Tues, Oct 4 |
Test No. 2 on Chapter 2 |
Mini-Asmt: P.122: # 1d; 2; 3b,d Due: Wednesday |
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17 |
Mon, Oct 3 |
Consolidation and review class |
Chapter Review: Page 116: # 1 - 7; 11c; 12 |
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16 |
Fri, Sep 30 |
2.5 Problems invovling AROC/IROC |
Page 111: # 1 - 4; 5b; 6e; 7; 8 YouTube: Tangent Lines & IROC |
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15 |
Thurs, Sep 29 |
Page 92: # 4; 6 Page 95: # 2; 3; 6; 7 |
Mini-test next class |
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14 |
Wed, Sep 28 |
2.2 Instantaneous rate of change (IROC) |
Page 86: # 1 - 3; 4a,c YouTube: IROC explained YouTube: IROC worked
example |
Read Section 2.2 carefully! |
13 |
Tues, Sep 27 |
2.1 Average rate of change (AROC) |
Page 76: # 4; 5; 7 - 9; 11 YouTube: AROC idea YouTube: AROC worked example |
Learn the AROC idea well ! |
Chapter 1: Functions: Characteristics and Properties |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
12 |
Mon, Sep 26 |
Test No. 1 on Chapter 1 |
Asmt No. 1 (handout) Due: Tues, Sep 27 |
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Fri, Sep 23 |
Terry Fox Run (Day 0) |
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11 |
Thur, Sep 22 |
Consolidation and review class |
Chapter Test, Page 62: # 1 - 10 |
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10 |
Wed, Sep 21 |
1.7 Operations with functions |
Page 56: # 1c,d; 2b; 3b; 4a; 5c; 7; 8 YouTube: Operations w. Functions |
Asmt No. 1 (handout) Due: Tues, Sep 27 |
9 |
Tues, Sep 20 |
1.6 Piecewise functions |
Page 51: # 3; 4; 5d; 7; 9; 11; 14; 15 YouTube: Piecewise Functions |
Mini-test next class |
8 |
Mon, Sep 19 |
1.5 Inverse functions, Part II |
Page 43: #4; 6a,d; 7; 9; 10; 12c (repeated) Khan Academy: Inverse Functions |
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7 |
Fri, Sep 16 |
1.5 Inverse functions |
Page 43: # 4; 6a,d; 7; 9; 10; 12c |
Mini-test next class (transformations only) |
6 |
Thur, Sep 15 |
1.4 Sketching graphs, Part II |
Page 35: # 1e,f; 3; 5e; 8; 10b,d; 12; 15 (repeated) |
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5 |
Wed, Sep 14 |
1.4 Review of trig functions; sketching graphs |
Page 35: # 1e,f; 3; 5e; 8; 10b,d; 12; 15 |
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4 |
Tues, Sep 13 |
1.3 Properties of graphs of functions, Part II |
Page 28: # 6 - 9 |
Mini-test next class |
3 |
Mon, Sep 12 |
1.3 Properties of graphs of functions |
Page 23: #5d,e,f; 9; 12 |
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2 |
Fri, Sep 9 |
1.2 Absolute value function |
Page 16: # 2d,e,f; 3 - 7; 10 YouTube: Absolute Value Function |
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1 |
Thurs, Sep 8 |
Go over course expectations 1.1 Basic functions |
Page 11: # 3c,d,e; 4; 5; 9; 10; 14 Khan Academy: Functions |
Welcome to Advanced Functions! |