ADVANCED FUNCTIONS (Year-long course) |
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SPRING TERM |
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Chapter 9: Combining Functions |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
73 |
Thurs, May 17 |
Half-Test on Chapter 9 material |
Read and re-read your notes, tests and quizzes |
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72 |
Tues, May 15 |
Consolidation and review class |
Page 576: # 3; 4b,d; 6b,c; 7b,c; 8; 9b; 12b,d Chapter Test: p.578: # 2; 3; 6 - 9 |
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71 |
Fri, May 11 |
Combining functions |
Begin your systematic review of the entire course Your notes will make the best exam prep! |
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70 |
Wed, May 9 |
9.5 Composition of functions, Part II |
Page 552: # 1;2; 3; 5e; 6b,e,f; 7b,e,f; 14 YouTube: Domains of compositions YouTube: Alternate approach to domains |
Mini-Test next class Mini-Asmt (Handout; Due: Tuesday): #1c; 2b; 3b; 4c; 5b |
69 |
Mon, May 7 |
Page 552: # 1;2; 3; 5e; 6b,e,f; 7b,e,f; 14 YouTube: Composition of functions YouTube: Composition of function machines |
Polynomial exam prep Rational exam
prep Trig exam prep Exp & logs exam prep |
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68 |
Thurs, May 3 |
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 & quotients of functions |
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67 |
Tues, May 1 |
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 |
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Chapter 8: Exponential & Logarithmic Functions |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
66 |
Fri, Apr 27 |
Test on Chapter 8 material |
Page 188: # 1 - 31 (multiple-choice questions) |
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65 |
Wed, Apr 25 |
Consolidation and review class |
Page 510: # 1 - 10 Page 512: # 1 - 9 |
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64 |
Mon, Apr 23 |
8.7 Solving problems with logarithms |
Page 499: # 4 - 6; 8; 10; 15 |
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63 |
Thurs, Apr 19 |
8.6 Solving logarithmic equations |
Page 491: # 4a,c,e; 5a,d,e; 6; 7b,d,f; 9; 10; 12; 16 |
Mini-Test next class |
62 |
Tues, Apr 17 |
8.5 Solving exponential equations |
Page 485: # 1d; 2d; 3c,f; 4b; 5e,f; 8b,f; 10c YouTube: Solving exponential equations YouTube: More exponential equations |
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61 |
Fri, Apr 13 |
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, Apr 11 |
8.3 Evaluating logarithms |
Page 466: # 1d; 2e; 3c,d,e; 4a,d; 5b,c,f; 6e; 9a,b,d,e; 11; 14 |
Mini-Test next class |
April 6 - 9 |
Easter Break !! |
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59 |
Thurs, Apr 5 |
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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58 |
Tues, Apr 3 |
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! |
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Chapter 7: Trigonometric Identities and Equations |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
57 |
Fri, Mar 30 |
Test on Chapter 7 material |
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56 |
Wed, Mar 28 |
Consolidation and review class |
Review Questions: P. 440: # 1 - 10; 12 |
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WINTER TERM |
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Mar 10 - 26 |
March Break! Have a great holiday!! |
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55 |
Fri, Mar 9 |
Consolidation and review class |
Test in 2nd class back after March Break! |
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54 |
Wed, Mar 7 |
7.6 Solving quadratic trig equations |
Page 436: # 5 - 9 (all b,d,f); 10; 14 |
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53 |
Mon, Mar 5 |
7.5 Solving linear trig equations |
Page 427: # 6 - 10 (all a,c,e); 11; 13 YouTube: Solving linear trig equations |
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52 |
Thurs, Mar 1 |
7.4 Proving trig identities, Part II |
Handout: Page 197: # 1 - 56 (do as many as you can!) YouTube: Identity proved in two ways |
Mini-Test next class |
51 |
Tues, Feb 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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50 |
Fri, Feb 24 |
Page 400: # 5c,d,f; 8d,f; 9a,d Page 407: # 2; 3a,b; 4; 6; 13a YouTube: Using double angle formulas |
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49 |
Wed, Feb 22 |
Page 392: # 1; 3d-f; 5; 6 YouTube: Equivalent trig expressions |
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Cumulative Review to this point |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
48 |
Thurs, Feb 16 |
Cumulative review by topics |
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47 |
Tues, Feb 14 |
Cumulative review by chapters |
Chap 1: Page 60: # 7; 11 Chap 2: Page 116: # 3; 4 Chap 3: Page 184: # 5a; 10b Chap 4: Page 240: # 11; 16a Chap 5: Page 308: # 5a; 10a |
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Chapter 6: Trigonometric Functions |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
46 |
Fri, Feb 10 |
Test on Chapter 6 material |
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45 |
Wed, Feb 8 |
Consolidation and review class |
Page 376: # 1 - 15 Chapter Test, Page 378: # 1 - 8a |
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44 |
Mon, Feb 6 |
Page 361: # 5 - 10 |
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43 |
Thurs, Feb 2 |
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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42 |
Tues, Jan 31 |
6.5 Graphs of reciprocal trig functions |
Page 353: # 4; 5; 7c Page 349: # 1 - 9 (do enough!) |
Mini-Test next class |
41 |
Fri, Jan 27 |
6.3 Trig graphs and properties 6.4 Trig transformations |
Page 336: # 2 - 5 Page 343: # 1d; 5a,c; 6d; 8a,e; 9; 13 |
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40 |
Wed, Jan 25 |
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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39 |
Mon, Jan 23 |
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 |
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Chapters 4 & 5: Polynomial & Rational Equations and Inequalities |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
38 |
Thurs, Jan 19 |
Test on material from Chapters 4 and 5 |
Due: Wed, Jan 25 |
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37 |
Tues, Jan 17 |
Consolidation and review class |
Chapter 4 Test: p.242: # 1 - 5; 7; 8 Chapter 5 Test: p. 310: # 1 - 6 |
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36 |
Fri, Jan 13 |
5.5 Solving rational inequalities, Part II |
Page 295: # 1; 2a; 4b,d,f; 5b,d,f; 6b,d,f; 8a,b; 9 |
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35 |
Wed, Jan 11 |
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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FALL TERM |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
Dec 22 - Jan 9 |
Christmas Break! Have a great holiday! |
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34 |
Wed, Dec 21 |
5.4 Solving rational equations |
Page 286: # 5a,c,e; 6a,c,e; 7a,c,e; 8a; 9; 12 |
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33 |
Mon, Dec 19 |
5.2/5.3 Rational functions and their behaviour, Part II |
Page 262: # 1; 2a,c,e,g,i,k; 3 Page 272: # 1; 4b; 5c; 6a,b; 8 - 10 YouTube: Graphing rational functions |
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32 |
Thurs, Dec 15 |
5.2/5.3 Rational functions and their behaviour |
Page 262: # 1; 2a,c,e,g,i,k; 3 Page 272: # 1; 4b; 5c; 6a,b; 8 - 10 KhanAcademy: Plotting a rational function YouTube: Finding a slant asymptote |
Mini-Test next class |
31 |
Tues, Dec 13 |
Page 254: # 1; 4; 5b,g; 6; 7b; 8b; 11; 12 YouTube: The reciprocal function YouTube: Graphing reciprocal quadratics |
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30 |
Fri, Dec 9 |
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 Mini-Test next class |
29 |
Wed, Dec 7 |
4.2 Solving linear inequalities |
Page 213: # 5e,f; 6c,f; 7e,f; 8; 9; 12 KhanAcademy: Linear inequalities |
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28 |
Mon, Dec 5 |
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 |
27 |
Thurs, Dec 1 |
Test on Chapter 3 material |
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26 |
Tues, Nov 29 |
Consolidation and review class |
Chapter Test, Page 186: #1 - 6; 8; 9 |
Mini-Test today! |
Fri, Nov 25 |
Classes cancelled for Parent/Teacher Interviews |
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25 |
Wed, Nov 23 |
Further practice factoring |
Page 182: # 2a,c,e,g,i; 3a,b,d; 4e,f,g; 5 YouTube: Sum/difference of cubes |
Memorize the two formulas! |
24 |
Mon, Nov 21 |
Catch up, consolidate and review class |
Handout: p.138: # Do a lot! |
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23 |
Thurs, Nov 17 |
3.6 Factoring, Part II |
Page 176: # 1 - 3; 4 - 7 (all a,c,e); 9; 10; 14; 16 Handout: p.138: # Do a lot! YouTube: Rational roots theorem |
Mini-Test next class |
22 |
Tues, Nov 15 |
Page 176: # 1 - 3; 4 - 7 (all a,c,e); 9; 10; 14; 16 YouTube: Synthetic division YouTube: Remainder and factor theorems |
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Nov 11 - 14 |
Fall Mid-Term Break ! |
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21 |
Wed, Nov 9 |
Page 169: # 5d,f; 6c,d,f; 8a; 10a,c,e; 11 YouTube: Poly long division |
Mini-Test next class |
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20 |
Mon, Nov 7 |
3.4 Cubic and quartic functions |
Page 155: # 2; 3; 4b,e |
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19 |
Thurs, Nov 3 |
3.3 Characteristics of factored polynomials |
Page 146: # 1; 4; 6a,c,e,f; 8a; 9b; 10; 12a |
Mini-Test next class |
18 |
Tues, Nov 1 |
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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17 |
Fri, Oct 28 |
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 |
16 |
Wed, Oct 26 |
Test No. 2 on Chapter 2 |
Mini-Assignment: Page 122: # 2a,b; 4a; 6b Due: Friday, Oct 28 |
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15 |
Mon, Oct 24 |
Consolidation and review class |
Chapter Review: Page 116: # 1 - 7; 11c; 12 |
Omit Section 2.4 |
14 |
Thurs, Oct 20 |
2.5 Problem solving with AROC/IROC |
Page 92: # 4; 6 Page 95: # 2; 3; 6; 7 Page 111: # 1 - 4; 5b; 6e; 7; 8; 10 YouTube: Tangent lines and IROC |
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13 |
Tues, Oct 18 |
2.2 Estimating instantaneous rates of change (IROC) |
Page 86: # 1 - 3; 4a,c YouTube: IROC explained YouTube: IROC worked
example |
Mini-Test next class |
Fri, Oct 14 |
University Fair at the Convention Centre |
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12 |
Wed, Oct 12 |
2.1 Average rate of change (AROC) |
Page 76: # 4; 5; 7 - 9; 11 YouTube: AROC idea YouTube: AROC worked example |
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Chapter 1: Functions: Characteristics and Properties |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
11 |
Fri, Oct 7 |
Test No. 1 on Chapter 1 (condensed day!) |
Happy Thanksgiving! |
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10 |
Wed, Oct 5 |
Consolidation and review class |
Chapter Test, Page 62: # 1 - 10 |
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9 |
Mon, Oct 3 |
1.7 Operations with functions |
Page 56: # 1c,d; 2b; 3b; 4a; 5c; 7; 8 YouTube: Operations w. Functions |
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8 |
Thurs, Sep 29 |
Page 51: # 3; 4; 5d; 7; 9; 11; 14; 15 YouTube: Piecewise Functions |
Mini-Test next class |
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7 |
Tues, Sep 27 |
Page 44: # 4; 6a; 9; 10; 12; 13 Khan Academy: Inverse Functions |
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6 |
Thurs, Sep 22 |
1.4 Sketching graphs, Part II |
Page 35: # 1e,f; 3; 5e; 8; 10b,d; 12; 15 (repeated) |
Mini-Test next class |
5 |
Tues, Sep 20 |
1.4 Review of trig; sketching graphs |
Page 35: # 1e,f; 3; 5e; 8; 10b,d; 12; 15 |
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4 |
Fri, Sep 16 |
1.3 Properties of graphs, Part II |
Page 28: # 6 - 9 |
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3 |
Wed, Sep 14 |
1.3 Properties of graphs of functions |
Page 23: # 4; 5; 7 - 9 |
Mini-Test next class |
2 |
Mon, Sep 12 |
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! |