AP Calculus Pacing Guide

First Semester
Day / Topic / Standard / Classwork / Homework
Area 1 – Functions, Graphs and Limits (3-4 weeks)
1 / Administration
2 / Pre-Test (Trigonometry Assessments A-D)
3-4 / Introduction Lessons 1-4 / MMCP2 / AB00
5 / Tangent Lines / MCD1a / AB01
6-7 / Slopes of Secant and Tangent Lines / MCD1 / AB02
8 / Quiz / “Know Your Limits” example / MCA2b / HO
9 / Review Quiz
10 / A Graphical Approach to Limits / MCA1-3 / AB03
11 / Finding Limits Algebraically / MCA1-3 / AB04
12 / Review for Test
13 / Area 1 Test
14 / Review Test
Area 2 – Derivatives (19-20 weeks)
15 / Definition of Derivative / MCD1 / AB05
16 / Derivatives Using Technology / MCD1-2 / AB06
17-18 / Techniques of Differentiation / MCD2 / AB07
19 / Quiz
20 / Review Quiz
21-22 / Differentiation by the Chain Rule / MCD2a / AB08
23-24 / Differentiation of Trig Functions / MCD1e / AB09
25 / Quiz
26 / Review Quiz
27-28 / Implicit Differentiation / MCD2b / AB10
29-30 / “Bridge” continuity example;
Continuity and Differentiation / MCD1d / AB11
31 / Review for Test
32 / Test
33 / Review Test
34-35 / Related Rates / MCD1c / AB12
36-37 / Straight Line Motion / MCD1 / AB13
38 / Rolle’s and the Mean Value Theorem / MCD2c / AB14
39 / Quiz
40 / Review Quiz
41 / Review for Mid-Term Exam
42 / Mid-Term Exam
43 / Review Mid-Term Exam
44-45 / Function Analysis / MCA3 / AB15
46 / Finding Absolute Extrema / MCA3 / AB16
47 / Review for Test
48 / Test
49 / Review Test
50 / Newton’s Method of Roots / MCA3 / AB17
51 / Approximation using Differentials / MCD2 / AB18
52 / Quiz
53 / Review Quiz
54-55 / Optimization Problems / MCA3c / AB19
56 / Economic Optimization Problems / MCA3c / AB20
57 / Review for Test
58 / Area 2 Test
59 / Review Test
Area 3 – Integrals (12 weeks)
60-61 / Indefinite integration / MCI1 / AB21
62 / Integration by ‘u-substitution’ / MCI1d / AB22
63 / Quiz
64 / Review Quiz
65 / Sigma notation / MCP1 / AB23
66 / Area under curve / MCI1c / AB24
67-68 / Riemann Sums / MCI1 / AB25
69 / Quiz
70 / Review Quiz
71-72 / Flex days
73 / Finding the Exact Area Under a Curve / MCI1c / AB26
74-75 / Definite integral as area / MCI1c / AB27
76-77 / Accumulation Function / MCI1 / AB28
78 / The Fundamental Theorem of Calculus / MCI1b / AB29
79 / Definite Integration with u-substitution / MCI1d / AB30
80 / Review for 1st Semester Final Exam
81-82 / 1st Semester Review and Final Exam / MCA1-3, MCD1-2, MCI1c-d
Timing will vary, topics/presentations may be added/deleted to/from units. All AB and PC worksheets are from MasterMathMentor.com
Second Semester
Day / Topic / Standard / Classwork / Homework
1 / Review 1st Semester Final Exam
2 / Straight Line Motion – Revisited / MCI1 / AB31
3-4 / Average value of a function & 2nd Fundamental Theorem of Calculus / MCI1b / AB32
5 / Quiz
6 / Review Quiz
7-8 / Area of a Region Between Two Curves / MCI1c / AB33
9-10 / Volume by Disk/Washers / MCI1c / AB34
11-12 / Volume by Cylindrical Shells / MCI1c / AB35
13 / Quiz
14 / Review Quiz
15 / Review of exponents and logarithms / MCD1e / AB36
16-17 / Differentiation of the ln function / MCD1e / AB37
18 / Integration and the ln function / MCI1 / AB38
19 / Quiz
20 / Review Quiz
21-22 / Derivatives and Integrals with e / MCI1 / AB39
23-24 / Inverse Trigonometric functions / MCD1e / AB40
25 / Integration and Inverse Trig Functions / MCI1 / AB41
26 / Review for Test
27 / Test
28 / Review Test
29 / Derivatives of inverse functions / MCD1e / AB42
30 / Differential Equations by Separation of Variables / MCA3c / AB43
31 / Slope Fields / MCI1 / AB44
32 / Quiz
33 / Review Quiz
34 / Exponential Growth / MCI1 / AB45
35 / Exponential Growth Continuation / MCI1 / AB46
36 / Finding Impossible Integrals / MCI1 / AB48
37 / L’Hopital’s Rule for Indeterminate Forms / MCI1 / AB49
38 / Review for Test
39 / Test
40 / Review Test
41 / Review for Mid-Term Exam
42 / Mid-Term Exam
43 / Review Mid-Term Exam
44-68 / Review and practice for AP Exam
69 / AP Calculus Exam
Timing will vary, topics/presentations may be added/deleted to/from units. All AB and PC worksheets are from MasterMathMentor.com

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