AP CALCULUS |
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SPRING TERM |
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UNIT 12: Review for MHF4U and MCV4U Exams |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
|
145 |
Fri, May 18 |
Review introductory vectors |
Vectors exam prep Calculus exam prep |
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144 |
Thurs, May 17 |
Review of exponential and logarithmic functions |
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143 |
Wed, May 16 |
Review of remainder/factor/rational roots theorems & factoring |
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142 |
Tues, May 15 |
7.5/7.6 Linear and quadratic trig equations |
Page 427: # 6 - 10 (all a,c,e); 11; 13 Page 436: # 5 - 9 (all b,d,f); 10; 14 YouTube: Solving linear trig equations |
Polynomial exam prep Rational exam prep Trig exam prep Exp & Log exam prep |
|
141 |
Mon, May 14 |
7.1 - 7.3 Cofunction, compound and double angle identities 7.4 Proving trig identities |
Page 411: # 1 - 12 Page 417: # 8 - 11 YouTube: Some suggestions and some proofs YouTube: A typical trig identity proof YouTube: Identity proved in two ways |
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140 |
Fri, May 11 |
6.5/6.6 Reciprocal trig functions |
Page 353: # 2 - 5 Page 376: # 2; 6; 7; 9; 10; 11d; 12; 19 YouTube: Graphing reciprocal trig functions |
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139 |
Thurs, May 10 |
Debrief from yesterday's AP exam 6.1 - 6.4 Trigonometry review |
Advanced Functions textbook: Page 349: # 1 - 9 YouTube: Trig review (good, but long) |
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UNIT 11: Applications of Integration (From Assorted Chapters) |
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138 |
Wed, May 9 |
AP Calculus Examination!! |
Good luck guys! |
||
137 |
Tues, May 8 |
You are now prepared to earn a "5" tomorrow! |
Review all derivatives, integrals, techniques and ideas one last time. See hints |
||
136 |
Mon, May 7 |
Continue fine tuning your skills in all areas |
Continue to work through as many free-response questions as possible! |
||
135 |
Fri, May 4 |
Grad skip day! |
Work through the 2007 free-response questions |
||
134 |
Thurs, May 3 |
Overview questions for entire course |
Contiinue to work through as many free-response questions as possible! |
||
133 |
Wed, May 2 |
Overview questions for entire course |
Contiinue to work through as many free-response questions as possible! |
||
132 |
Tues, May 1 |
In-class 2003 Mock Exam (Section I, Part B, multiple-choice) |
Contiinue to work through as many free-response questions as possible! |
Look over all the basic derivative formulas! |
|
131 |
Mon, Apr 30 |
Take up the 2003 Mock Exam |
Review the Fundamental Theorem of Calculus again |
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130 |
Fri, Apr 27 |
In-class 2003 Mock Exam (Section I, Part A, multiple-choice) |
Work through the 2003 free-response questions |
||
129 |
Thurs, Apr 26 |
Work on the 2010 free-response questions |
Work through the 2009 free-response questions |
||
128 |
Wed, Apr 25 |
Take up the 1999 OAC Calculus exam |
Work through the 2010 free-response questions |
||
127 |
Tues, Apr 24 |
Work on 1999 OAC Calculus final exam (technique questions) |
Continue to work through as many free-response questions as possible! |
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126 |
Mon, Apr 23 |
Group work with AP Calculus card questions |
Continue to work through as many free-response questions as possible! |
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125 |
Fri, Apr 20 |
Work through the 2011 free-response questions |
Continue to work through as many free-response questions as possible! |
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124 |
Thurs, Apr 19 |
Work through the 2001 free-response questions |
Continue to work through as many free-response questions as possible! |
Continue to read and re-read all your notes |
|
123 |
Wed, Apr 18 |
Take up AP mock exam questions, Part II |
Mini-Assignment: #1,2,3 from 2000 free-response questions |
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122 |
Tues, Apr 17 |
Take up AP mock exam questions, Part II |
Work on free response questions found here |
||
121 |
Mon, Apr 16 |
Debrief from, and take up, the AP mock exam |
Continue to read and re-read all your notes |
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Sat, Apr 14 |
MOCK EXAM !! |
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120 |
Fri, Apr 13 |
Consolidate and review class; solve problems |
Complete all questions on "Integration Applications" handout |
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119 |
Thurs, Apr 12 |
6.3 Volumes of solids of revolution, Part IV |
Work through a variety of problems on this topic |
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118 |
Wed, Apr 11 |
Euclid Math Contest (Periods 1 and 2) |
Read and re-read all your notes!! |
||
117 |
Tues, Apr 10 |
6.3 Volumes of solids of revolution, Part III |
Exercise Set 6.3: # 16; 25; 29; 30 YouTube: Method of cylindrical shells |
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Apr 6 - 9 |
Easter Break!! |
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116 |
Thurs, Apr 5 |
6.2 Volumes of solids of revolution, Part II |
Read Sections 6.2 and 6.3 thoroughly!! Exercise Set 6.2: # 1 - 4; 8; 15; 25; 37 Exercise Set 6.3: # 1 - 4; 11 KhanAcademy: Volumes of revolution, Part 1 (of 8) YouTube: Revolving around y-axis |
Mini-Test next class! |
|
115 |
Wed, Apr 4 |
6.2 Volumes of solids of revolution, Part I |
Read Sections 6.2 and 6.3 thoroughly!! Exercise Set 6.2: # 1 - 4; 8; 15; 25; 37 Exercise Set 6.3: # 1 - 4; 11 Animation: Solids of revolution YouTube: Disk/washer method |
||
114 |
Tues, Apr 3 |
Read "The Mean-Value Theorem for Integrals" from Section 5.6 Exercise Set 5.6: # 11a; 12a Exercise Set 5.8: # 2; 5; 7; 8; 10; 15 YouTube: Avg value of a function |
|||
113 |
Mon, Apr 2 |
7.7 Trapezoidal rule for integral approximations |
Read Section 7.7: "Trapezoidal Approximation" only Exercise Set 7.7: # 2; 3; 6; 31b; 34a (only use the Trap. rule for approximating each integral) YouTube: Trap. rule - an example YouTube: Trap rule - another example |
Begin a systematic review of all your calculus notes, starting with limits. |
|
112 |
Fri, Mar 30 |
Exercise Set 4.8: # 3; 5; 7; 10a-c Read "The Mean-Value Theorem for Integrals" from Section 5.6 Exercise Set 5.6: # 11a; 12a |
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Thurs, Mar 29 |
8.2 Separable DEs |
Exercise Set 8.2: # 11 - 13; 17 |
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111 |
Wed, Mar 28 |
6.1 Areas between curves, Part II 8.2 Separable DEs |
Exercise Set 6.1: # 2 - 4; 6; 9; 13; 18; 25; 35; 41; 46 Exercise Set 8.2: # 1 - 13 YouTube: Separable DEs (catch the error!) YouTube: Separable DEs - another example |
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110 |
Tues, Mar 27 |
6.1 Areas between curves |
Exercise Set 6.1: # 2 - 4; 6; 9; 13; 18; 25; 35; 41; 46 YouTube: Areas between curves YouTube: Areas between curves wrt. y |
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WINTER TERM |
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UNIT 10: Integration (Chapter 5) |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
|
Mar 10 - 26 |
March Break! Have a great holiday!! |
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109 |
Fri, Mar 9 |
Consolidation and review class |
March Break Asmt: Handout: Answer as many questions as you can (in all the parts) |
Due: Tues, March 27 |
|
108 |
Thurs, Mar 8 |
Test on material covered thus far |
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Wed, p.m. |
AP Calculus problems' jam session: Wednesday, after school |
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107 |
Wed, Mar 7 |
5.7 Rectilinear motion revisited (now with integration) |
Read Section 5.7 Exercise Set 5.7: # 8a; 10a; 13; 20; 33; 43 YouTube: Rectilinear motion with integration |
||
106 |
Tues, Mar 6 |
Fundamental Theorem of Calculus, Part II, "Accumulator" functions and integration with technology |
Read Section 5.6: "Part 2 of the Fundamental Theorem of Calculus" Exercise Set 5.6: # 57 - 65; 67; 68 YouTube: Good explanation of FTC, Part II YouTube: Examples of FTC, Part II YouTube: Riemann sums proof of Accumulator YouTube: Integrating a rate |
WileyPlus Asmt 5.6 |
|
105 |
Mon, Mar 5 |
5.9 Definite Integration and substitution |
Exercise Set 5.9: # 2b; 3b; 4a; 9; 11; 13; 18; 26; 29; 36; 42; 45 KhanAcademy: Definite integration with substitution |
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104 |
Fri, Mar 2 |
Fundamental Theorem of Calculus, Part II |
Exercise Set 5.9: # 2b; 3b; 4a; 9; 11; 13; 18; 26; 29; 36; 42; 45 |
Mini-Test next class |
|
103 |
Thurs, Mar 1 |
Exercise Set 5.6: # 7; 8; 13 - 30 (do enough!); 50; 51 YouTube: FTC, Part I |
Read & re-read Section 5.6. It is the culminating idea for the entire course!! |
||
Wed, p.m. |
AP Calculus problems' jam session: Wednesday, after school |
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103 |
Wed, Feb 29 |
Exercise Set 5.5: # 4; 9b; 10a; 13; 15; 16d; 19; 21; 25; 37 |
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102 |
Tues, Feb 28 |
Applet: Riemann sums |
Exercise Set 5.5: # 4; 9b; 10a; 13; 15; 16d; 19; 21; 25; 37 YouTube: Definition of the definite integral YouTube: Approximating areas with rectangles |
WileyPlus Asmt 5.4 WileyPlus Asmt 5.5 |
|
101 |
Mon, Feb 27 |
5.1/5.4/5.5 Definition of area; area under curves |
Read Section 5.1: "The area problem" and "The rectangle method for finding areas" Exercise Set 5.1: # 1; 3; 5; 7; 9 Read Section 5.4 on Sigma notation (summation notation) Page 383: # 1 - 20 (do enough!!); 28; 29; 36; 39; 42; 47 Read Section 5.5: Definition 5.5.1 is the 2nd most important definition in the course! |
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100 |
Fri, Feb 24 |
Differential equations (DEs) and slope fields |
Exercise Set 5.2: Page 330: # 43 - 46; 53 Slope fields handout: # do all questions KhanAcademy: What is a DE? KhanAcademy: Simple DEs YouTube: How to draw a slope field Wolfram: Slope fields demos |
Mini-Test next class! |
|
99 |
Thurs, Feb 23 |
5.3 Substitution technique for antiderivatives |
Exercise Set 5.3: # 1 - 60 (do enough); 69 - 72 YouTube: Substitution - good explanation YouTube: u-substitution examples |
WileyPlus Asmt 5.3 |
|
Wed, p.m. |
AP Calculus problems' jam session: Wednesday, after school |
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98 |
Wed, Feb 22 |
5.2 Antiderivatives (or indefinite integration) |
Exercise Set 5.2: Page 330: # 9; 13; 19; 24; 26 - 33; 35; 41 YouTube: Definition of antiderivative YouTube: Visualizing an antiderivative Khan Academy: Antiderivatives |
WileyPlus Asmt 5.2 |
|
97 |
Tues, Feb 21 |
4.7 Newton's Method |
Exercise Set 4.7: # 2; 7; 11; 14; 20; 25; 32; 38 YouTube: Newton's method YouTube: Newton's method w. derivation |
Optional WileyPlus Asmt 4.7 |
|
Feb 17 - 20 |
Winter Mid-Term Break! Have a great holiday!! |
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96 |
Thurs, Feb 16 |
4.6 Rectilinear motion, Part II |
Page 294: # 1 - 4; 6; 13; 17; 19; 27; 36 YouTube: Rectilinear motion definitions YouTube: Rectilinear motion (long) |
WileyPlus Asmt 4.6 |
|
95 |
Wed, Feb 15 |
Read pp. 134 (bottom) to 136 (top), and Section 4.6 Exercise Set 4.6: Page 141: # 2 - 4; 14; 26; 27 Page 294: # 1 - 4; 6; 13; 17; 19; 27; 36 |
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UNIT 9: Derivatives in Graphing and Applications (Chapter 4) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
94 |
Tues, Feb 14 |
Test on Chapter 4 (except 4.6/4.7) |
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93 |
Mon, Feb 13 |
Consolidation and review class |
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92 |
Fri, Feb 10 |
Read pp. 134 (bottom) to 136 (top), and Section 4.6 Exercise Set 4.6: Page 141: # 2 - 4; 14; 26; 27 Page 294: # 1 - 4; 6; 13; 17; 19; 27; 36 |
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91 |
Thurs, Feb 9 |
Consolidation class |
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90 |
Wed, Feb 8 |
4.5 Optimization, Part II |
Exercise Set 4.5: # 3; 6; 9; 12; 26; 28; 31; 36; 49; 56; 57 |
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89 |
Tues, Feb 7 |
4.5 Optimization |
Exercise Set 4.5: # 3; 6; 9; 12; 26; 28; 31; 36; 49; 56; 57 YouTube: Typical optimization question |
Mini-Test next class! |
|
88 |
Mon, Feb 6 |
Exercise Set 4.4: # 4; 5; 10; 11; 14; 24; 31; 38 YouTube: Absolute extrema & examples |
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87 |
Fri, Feb 3 |
4.3 Curve sketching, including asymptotes, intercepts, etc. |
Quick Check Exercises 4.3: # 2 Exercise Set 4.3: # 1 - 14 (pick any 3); 25 # 31 - 38 (pick any 3); 39 |
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86 |
Thurs, Feb 2 |
Exercise Set 4.2: # 1; 4a; 5; 9; 12; 19; 21; 22; 29; 38; 45; 58 YouTube: Critical points YouTube: 1st derivative test YouTube: 2nd derivative test |
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85 |
Wed, Feb 1 |
Exercise Set 4.1: # 4; 6; 7; 9; 22; 24; 27; 34; 39 YouTube: Increasing and decreasing functions YouTube: Concavity - worked example |
WileyPlus Asmts 4.1 and 4.2 |
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84 |
Tues, Jan 31 |
Exercise Set 3.5: # 1; 5; 7; 9; 11; 24; 28; 34a,b YouTube: Finding the linearization at a point YouTube: Local linearization example |
Optional WileyPlus Asmt 3.5 |
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UNIT 8: Derivatives of Exponentials, Logs & Inverse Trig Functions, and Related Rates (Chapter 3) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
83 |
Mon, Jan 30 |
Half-Test on Chapter 3 2.2 Differentiability of functions (pp.146-149) |
YouTube: Differentiability and continuity |
||
82 |
Fri, Jan 27 |
Consolidation and review class |
Chapter 3 Review Exercises: # 15 - 32; 34 - 36; 40; 45 YouTube: "Crazy e" and its importance YouTube: Derivative of a^x YouTube: Examples of exponential derivatives YouTube: Derivative of ln(x) and examples YouTube: Derivative of log to base a of x YouTube: Logarithmic differentiation YouTube: Easy related rates balloon question |
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81 |
Thurs, Jan 26 |
Exercise Set 3.5: # 1; 5; 7; 9; 11; 24; 28; 34a,b |
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80 |
Wed, Jan 25 |
3.4 Related rates, Part II |
Exercise Set 3.4: # 1; 4; 7; 12; 15; 17; 20; 25; 30 |
Mini-test next class! |
|
79 |
Tues, Jan 24 |
3.4 Related rates |
Exercise Set 3.4: # 1; 4; 7; 12; 15; 17; 20; 25; 30 |
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78 |
Mon, Jan 23 |
3.3 Inverse trig functions & their derivatives |
Read about inverse trig functions on pp. 44 - 48 Page 48: Quick Check # 4; 5 Page 48: # 38 - 41 (do enough to understand inverse trig functions) Page 202: # 37 - 52; 59 (again, do enough) |
||
77 |
Fri, Jan 20 |
Exercise Set 3.2: Page 195: # 35 - 38 Exercise Set 3.3: Page 201: # 28; 30; 32; 34; 35 |
Mini-test next class! |
||
76 |
Thurs, Jan 19 |
Intro to Exp and Log Functions 3.2/3.3 Derivatives of exp & logs |
Exercise Set 3.2: Page 195: # 1 - 30; 42; 54b Do enough! Exercise Set 3.3: Page 201: # 15 - 26; 65; 71 - 73 Do enough! |
Question # 65 on p.203 is important! |
|
75 |
Wed, Jan 18 |
In-class work: Matching graphs & their derivatives |
Due: Monday, Jan 23 |
||
UNIT 7: Limits, Continuity and the Derivative (Chapters 1, 2 in AP Calculus text) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
74 |
Tues, Jan 17 |
In-class WileyPlus Test (continued) |
|||
73 |
Mon, Jan 16 |
In-class WileyPlus Test: "Test on Chapters 1, 2, 3.1" |
Chap 1 Review Exercises: p.128: # 1;5-8;10;11;13-15;31-33 Chap 2 Review Exercises: p. 181: # 2;3;11;21b;30;32;34; 41a and implicit differentiation |
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72 |
Fri, Jan 13 |
3.1 Implicit derivatives, Part II |
Exercise Set 3.1: # 1; 5; 9; 11; 13; 25; 28 Optional WileyPlus Asmt 3.1 (repeated) YouTube: Implicit diff - more examples |
||
71 |
Thurs, Jan 12 |
Exercise Set 3.1: # 1; 5; 9; 11; 13; 25; 28 Optional WileyPlus Asmt 3.1 KhanAcademy: Implicit differentiation YouTube: Implicit diff - a good intro |
Mini-test next class! |
||
70 |
Wed, Jan 11 |
2.6 The Chain rule, Part II |
Exercise Set 2.6: # 3,6,9,...,42; 44; 55; 56 WileyPlus Asmt 2.6 (repeated) KhanAcademy: More Chain rule examples YouTube: Harder example #1 YouTube: Harder example #2 |
||
69 |
Tues, Jan 10 |
Review of differentiation thus far 2.6 The Chain rule |
Exercise Set 2.6: # 3,6,9,...,42; 44; 55; 56 WileyPlus Asmt 2.6 YouTube: Chain rule KhanAcademy: Review + Chain rule |
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FALL TERM |
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Dec 22 - Jan 9 |
Christmas Break! Have a great holiday!! |
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68 |
Wed, Dec 21 |
2.5 Trig derivatives MusicVideo: All the derivative rules |
Exercise Set 2.5: # 1 - 23 (odd #s only); 25b Read Example 4 in textbook and then try # 31 WileyPlus Asmt 2.5 (Xmas Break Asmt) YouTube: Trig derivatives and examples |
||
67 |
Tues, Dec 20 |
1.6 Continuity of trig and inverse functions; with a trig refresher |
Exercise Set 1.6: # 7; 17 - 35 (odd #s only); 41; 53 Optional WileyPlus Asmt 1.6 GSP Demo: Radian measure YouTube: Radian measure of angles YouTube: Graphing reciprocal trig functions |
||
66 |
Mon, Dec 19 |
2.4 Product and quotient rules for differentiation |
Exercise Set 2.4: # 7; 8; 14; 21; 25b; 30; 36 Optional WileyPlus Asmt 2.4 YouTube: Product and Quotient rule examples |
||
65 |
Fri, Dec 16 |
Techniques: Exercise Set 2.3: # 1 - 20; 24 Higher derivs: Exercise Set 2.3: # 41b,c; 44a; 45; 52; 54 Optional WileyPlus Asmt 2.3 YouTube: Basic derivative rules |
|||
64 |
Thurs, Dec 15 |
2.1/2.2 The Derivative: f ' (a) and f ' (x) |
Section 2.1: see WileyPlus for Asmt 2.1 (immediate) Exercise Set 2.2: # 3; 6; 9; 14; 16; 22; 31; 32; 34; 36; 37 See WileyPlus for Asmt 2.2 YouTube: Derivative of f at x=a KhanAcademy: Derivative function: intuition module YouTube: Sketching the derivative function Wolfram: Derivative function demo |
The most important idea of the course!! Mini-test next class! |
|
63 |
Wed, Dec 14 |
YouTube: AROC idea YouTube: AROC worked example YouTube: IROC explained YouTube: IROC worked example |
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62 |
Tues, Dec 13 |
1.5 Continuity |
Exercise Set 1.3: # 2; 4; 6; 12 - 14; 16; 25; 26; 31; 66 Exercise Set 1.5:: # 1 - 4; 7; 9; 14; 18; 30a; 33; 36a; 37; 47 YouTube: Continuity and discontinuity YouTube: Discontinuities: 2 worked examples |
Learn the definition of continuity well |
|
61 |
Mon, Dec 12 |
1.1 Limits (Section 1.1 in AP Calculus text!) 1.2 Computing limits |
Exercise Set 1.1: # 7; 8; 10; 11; 13a; 14a; 16b; 17-20; 22 Exercise Set 1.2: # 1a,c,e; 2a,c,e,g; 3 - 30 (every 3rd one); 37; 41 ... and work on the Limits worksheet as well YouTube: Finding limits with continuity KhanAcademy: Simple indeterminate form example |
Learn limits well. They are important in calculus. A lot of practice is required here! WileyPlus: Asmt 1.2 due Friday |
|
UNIT 6: Lines and Planes (Calculus & Vectors , Chapter 8) Intersections of Lines and Planes (Chapter 9) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
60 |
Fri, Dec 9 |
Test on Chapters 8 & 9 |
|||
59 |
Thurs, Dec 8 |
Introduction to Calculus |
Sleep-In Day schedule! |
||
58 |
Wed, Dec 7 |
Consolidation and review class |
Chap 8 Review exercises: p. 480 Chap 9 Review exercises: p. 552 |
||
57 |
Tues, Dec 6 |
9.4 Intersections of 3 planes, part II |
Handout: Page 309: # 5 - 9 |
||
56 |
Mon, Dec 5 |
9.4 Intersections of 3 planes |
Page 533: # 5 - 15 (do enough) |
Mini-test next class! |
|
55 |
Fri, Dec 2 |
9.3 Intersections of 2 planes |
Page 516: # 4 - 12 YouTube: Intersections of 2 planes |
Hanging mobiles due Monday! |
|
54 |
Thurs, Dec 1 |
9.2 Systems of linear equations |
Page 508: # 5c; 6; 8a; 9; 12; 14 YouTube: Elem Row Operations KhanAcademy: An example of RREF |
||
53 |
Wed, Nov 30 |
9.6 Distance from a point to a plane |
Page 550: # 2 - 7 YouTube: Point-plane distance YouTube: Another
example from MIT |
Mini-test next class! |
|
52 |
Tues, Nov 29 |
9.5 Distance from a point to a line in 2- and 3-space |
Page 540: # 5 - 7 YouTube: Point-line distance: 2-dimensional |
||
51 |
Mon, Nov 28 |
9.1 Intersections of line with line and line with plane |
Page 497: # 4 - 17 (repeated) |
Mini-test next class! |
|
Fri, Nov 25 |
Class cancelled for Parent-Teacher Interviews |
||||
50 |
Thurs, Nov 24 |
9.1 Intersections of line with line and line with plane |
Page 497: # 4 - 17 |
||
49 |
Wed, Nov 23 |
Page 469: # 6 - 15 KhanAcademy: Point & normal vector gives plane |
|||
Tues, Nov 22 |
Canadian Senior Mathematics Contest (periods 1 and 2) |
||||
48 |
Mon, Nov 21 |
Consolidate lines in 2- and 3-space 8.4 Vector & parametric equations of a plane |
Page 451: # 1 - 22 (do enough) Page 459: # 6 - 15 Java Applet: Planes |
Mini-test next class! |
|
47 |
Fri, Nov 18 |
8.3 Lines in 3-space |
Page 449: # 3 - 12 YouTube: Lines in 3-space Online demo: Vector
eqn of line in 3-space |
||
46 |
Thurs, Nov 17 |
8.1/8.2 Lines in 2-space |
Page 433: # 4; 5; 8; 10a; 11; 12 Page 443: # 6 - 9; 10a,d,f; 11 YouTube: Lines in 2-space, Part I YouTube: Lines in 2-space, Part II |
||
UNIT 5: Applications of Vectors (Calculus & Vectors , Chapter 7) |
|||||
# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
45 |
Wed, Nov 16 |
Test on Chapter 7 material |
|||
44 |
Tues, Nov 15 |
Consolidation and review class |
Review exercises: p. 418: # 1 - 30; 34 - 36 Continue working problems on applications of dot & cross products |
||
Nov 11 - 14 |
Fall Mid-Term Break ! |
||||
43 |
Thurs, Nov 10 |
7.7 Applications of dot and cross products |
Page 415: # 3 - 9 YouTube: Applications of dot/cross products |
||
42 |
Wed, Nov 9 |
Page 407: # 3; 4e,f; 5; 7; 8b; 9; 11 |
Mini-test next class! |
||
41 |
Tues, Nov 8 |
Page 398: # 6 - 9; 11; 12; 13a; 14 YouTube: Vector projections YouTube: Practicing projections |
|||
40 |
Mon, Nov 7 |
7.3/7.4 Dot product of vectors |
Page 377: # 6a,e,f; 7b; 8; 9; 11 - 13; 15; 16; 17 Page 386: # 6a,d; 7a; 9b; 10 - 19 KhanAcademy: Dot product of vectors YouTube: Dot product of vectors |
||
39 |
Fri, Nov 4 |
7.2 Velocity as a vector quantity Website: Velocity is relative |
Page 369: # 3 - 14 YouTube: Intro to velocity vectors |
||
38 |
Thurs, Nov 3 |
Engineering statics, Part II |
Continue working through engineering statics questions YouTube: The Arch |
Mini-test next class! |
|
37 |
Wed, Nov 2 |
Engineering statics |
Engineering statics handout: 2nd page: find tensions and compressions in all cables and beams where angles are given: # 4-14 to 4-25 (do enough to understand the various scenarios) YouTube: What is
tension/compression? YouTube: Compression and tension |
||
36 |
Tues, Nov 1 |
7.1 Force as a vector quantity |
Page 363: # 5; 6; 10 - 14a; 16; 17; 19a KhanAcademy: Inclined plane force components |
||
UNIT 4: Introduction to Vectors (Calculus & Vectors , Chapter 6) |
|||||
# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
35 |
Mon, Oct 31 |
Test No. 1* on Chapter 6 |
|||
34 |
Fri, Oct 28 |
Consolidation and review class |
Review Exercises: p.344: # 1 - 16; 18; 19; 21; 23 |
||
33 |
Thurs, Oct 27 |
Page 340:# 7 - 11; 13; 14; 17 |
A good understanding of 3-space is very important |
||
32 |
Wed, Oct 26 |
6.6/ 6.7 Operations with vectors in 2- and 3-space |
Page 324: # 6b; 7b; 8c; 10 Page 333: # 5d; 6c; 7c; 8; 10; 11 |
Mini-test next class! |
|
31 |
Tues, Oct 25 |
Page 307: # 6; 7 - 9; 11 Page 316: # 5 - 10; 14 - 18 YouTube: Algebraic representation of vectors |
|||
30 |
Mon, Oct 24 |
6.3 Scalar multiplication; unit vectors |
Page 299: # 5; 6d,e; 7a; 8 - 10; 13 - 15; 21 |
Mini-test next class! |
|
29 |
Fri, Oct 21 |
Page 290: # 1 - 14; 16 YouTube: Vector addition & subtraction YouTube: Vector subtraction graphically |
Learn addition & subtraction well ! |
||
28 |
Thurs, Oct 20 |
Page 279: # 4; 5; 7 - 11 YouTube: Intro to geometric vectors KhanAcademy: Vector vs scalar |
|||
UNIT 3: Equations & Inequalities (Adv. Functions, Chap 4 & 5) |
|||||
# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
27 |
Wed, Oct 19 |
Test No. 3 on Chapters 4/5 |
Due: Mon, Oct 24 |
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26 |
Tues, Oct 20 |
Consolidation and review class |
Chapter 4 Self-Test, p.242: # 1 - 5b Chapter 5 Self-Test, p.310: # 1 - 3; 5; 6 |
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25 |
Fri, Oct 14 |
4.3/5.5 Inequalities, continued |
Page 295: # 4b,e,f; 5a,c,f; 6f; 9; 11 |
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24 |
Thurs, Oct 13 |
Page 295: # 4b,e,f; 5a,c,f; 6f; 9; 11 KhanAcademy: Rational inequalities YouTube: Solving rational inequalities |
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23 |
Wed, Oct 12 |
4.2 Linear inequalities |
Page 213: # 2f; 4f; 5e; 7e,f Page 225: # 1c; 2; 4; 6b,d,e; 7d,e,f KhanAcademy: Linear Inequalities YouTube: Polynomial inequalities |
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22 |
Tues, Oct 11 |
5.3 Rational functions (ax+b)/(cx+d) |
Page 272: # 1; 4d; 5c,d; 9; 10 YouTube: Finding a Slant Asymptote YouTube: Graphing a rational function |
Mini-test next class! |
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21 |
Fri, Oct 7 |
5.1 Reciprocal quadratic equations |
Page 254: # 1; 2d,f; 3a; 4; 5f,g; 6; 8f Page 257: # 11; 12 Page 262: # 1; 2a,c,e,g,i,k; 3 KhanAcademy: Plotting a Rational Function YouTube: Graphing a Reciprocal Function YouTube: Graphing Reciprocal Quadratics |
Happy Thanksgiving!! |
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20 |
Thurs, Oct 6 |
Review sections 4.1 and 5.4 (from grade 11) |
Be sure you understand p.204: # 1 - 9 and p.285: # 1 - 7 |
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UNIT 2: Polynomial Functions (Adv. Functions, Chap 3) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
19 |
Wed, Oct 5 |
Test No. 2 on Chapter 3 |
Due: Fri, Oct 14 |
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18 |
Tues, Oct 4 |
Consolidation and review class |
Chapter Test, Page 186: #1 - 6; 8; 9 |
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17 |
Mon, Oct 3 |
Page 182: # 2e,h,i; 3b,c; 4i; 5b,d YouTube: Sum/Diff of Cubes |
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16 |
Fri, Sep 30 |
Page 177: # 4d; 6b,d,f; 7a,c,e; 10; 12 YouTube: Factor/Remainder Theorems |
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15 |
Thurs, Sep 29 |
Page 169: # 5d,f; 6c,d,f; 8a; 10a,c,e; 11 |
Mini-test next class! |
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14 |
Wed, Sep 28 |
3.3 Factored polynomials, Part II 3.4 Cubic and Quartic functions |
Page 148: # 12; 14; 15 Page 155: # 2; 3; 4b,e |
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13 |
Tues, Sep 27 |
3.3 Characteristics of factored polynomials |
Page 146: # 1; 6e; 7a,iv); 8c; 9d; 10 |
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12 |
Mon, Sep 26 |
3.1/3.2 Intro to polynomials |
Page 128: # 5; Page 136: # 5; 6; 8; 11; 13 YouTube: Polynomial Introduction YouTube: Classifying Polynomials |
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UNIT 1: Advanced Functions (Chapter 1) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
|
Fri, Sep 23 |
Terry Fox Run (Day 0) |
||||
11 |
Thur, Sep 22 |
Test No. 1 on Chapter 1 |
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10 |
Wed, Sep 21 |
Consolidation and review class |
Chapter Test, Page 62: # 1 - 10 |
Asmt No. 1 (handout) Due: Mon, Sep 26 |
|
9 |
Tues, Sep 20 |
1.7 Operations with functions |
Page 56: # 1c,d; 2b; 3b; 4a; 5c; 7; 8 YouTube: Operations w. Functions |
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8 |
Mon, Sep 19 |
1.6 Piecewise functions |
Page 51: # 3; 4; 5d; 7; 9; 11; 14; 15 YouTube: Piecewise Functions |
Mini-test next class! |
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7 |
Fri, Sep 16 |
1.5 Inverse functions |
Page 43: # 4; 6b; 9; 10c-f; 12c; 13; 16; 18 Khan Academy: Inverse Functions |
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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, Part II |
Read pp. 26, 27; 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 |
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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 |
Welcome to AP Calculus! |
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