ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
Curriculum Map
2
Course Title: AP Calculus AB
Grade Level: High School (11-12)
3
PacingUnit/LessonStandard(s)Content/Main IdeaAssessmentsResourcesISTEP
4
5 daysPre-Calculus ReviewNo Calculus StandardsData Analysis; Linear Models; Trigonometric Review; Graphing and Interpreting GraphsQuiz P.1, P.2; Quiz P.3, P.4; Chapter P Test
5
20 daysLimits and Their PropertiesC.LC.1, C.LC.2, C.LC.3, C.LC.4, C.LC.5, C.LC.6, C.LC.7, C.LC.8, C.LC.9, C.LC.10, C.LC.11Understand the concept of limit and estimate limits from graphs and tables of values, Find limits by substitution, Find limits of sums, differences, products, and quotients, Find limits at infinity, Find limits of rational functions that are undefined at a point, Decide when a limit is infinite and use limits involving infinity to describe asymptotic behavior, Find one-sided limits, Understand continuity in terms of limits, Decide if a function is continuous at a point, Find the types of discontinuities of a function, Understand and use the Intermediate Value Theorem on a function over a closed intervalQuiz 1.2, 1.3; Test I; Chapter 1 AP Level Questions
6
29 daysDifferentiationC.LC.12, C.D.1, C.D.2, C.D.3, C.D.4, C.D.5, C.D.6, C.D.7, C.D.8, C.D.10, C.D.11, C.AD.1, C.AD.2Understand and apply the Mean Value Theorem, Understand the concept of derivative geometrically, numerically, and analytically, and interpret the derivative as a rate of change, State, understand, and apply the definition of derivative, Find the derivatives of functions, including algebraic, trigonometric, logarithmic, and exponential functions, Find the derivatives of sums, products, and quotients, Find the derivatives of composite functions, using the chain rule, Find the derivatives of implicitly-defined functions, Find the derivatives of inverse functions, Find second derivatives and derivatives of higher order, Understand and apply the relationship between differentiability and continuity, Understand and apply the Mean Value Theorem, Find the slope of a curve at a point, including points at which there are vertical tangents and no tangents, Find a tangent line to a curve at a point and a local linear approximationQuiz 2.1, 2.2; Quiz 2.3, 2.4; Quiz 2.5, 2.6; Test 2; Chapter 2 AP Level Questions
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100