JMAP FOR CALCULUS
(in progress)
To access Practice Worksheets aligned to the College Board's
AP Calculus AB Curriculum Framework, click on the
Essential Knowledge Standard in the last column below. Only
links colored green currently contain resources. To see the
text of an EKS, hover your pointer over the Standard.

BIG IDEA 1: LIMITS (AB)

EKS 
Limits 
1.1A1 
OneSided Limits, Limits at Infinity 
1.1A2 
Limits That Do not Exist 
1.1A3 
Estimate Limits 
1.1B1 
Limits of Composite Functions 
1.1C1 
Finding Limits Using Other Methods 
1.1C2 
Limits Using L'Hospital's Rule 
1.1C3 
Describing the Behavior of Functions Using Limits 
1.1D1 
Comparing Functions Using Limits 
1.1D2 
Continuity 
1.2A1 
Continuous Functions 
1.2A2 
Discontinuities 
1.2A3 
Continuity in Theorems 
1.2B1 
BIG IDEA 2: DERIVATIVES (AB/BC) 
EKS 
Average Rate of Change 
2.1A1 
Instantaneous Rate of Change 
2.1A2 
Derivatives 
2.1A3 
Notation for Derivatives 
2.1A4 
Representations of Derivatives 
2.1A5 
Estimating Derivatives 
2.1B1 
Definition of Derivative 
2.1C1 
Calculating Derivatives 
2.1C2 
Differentiating Sums and Differences of Functions
Differentiating Products and Quotients of Functions 
2.1C3 
The Chain Rule 
2.1C4 
Implicit Differentiation 
2.1C5 
Derivatives of Inverse Functions 
2.1C6 
VectorValued Functions, Parametric Functions,
Functions in Polar Coordinates (BC) 
2.1C7 
Higher Order Derivatives 
2.1D1 
Notation for Higher Order Derivatives 
2.1D2 
Use Derivatives to Analyze Functions 
2.2A1 
Curve Sketching 
2.2A2 
Graphs of Functions and their Derivatives 
2.2A3 
Curves Given by a Polar Equation (BC) 
2.2A4 
Continuous and Differentiable
Functions 
2.2B1 
2.2B2 
Interpret Derivatives 
2.3A1 
Derivatives of Functions 
2.3A2 
Using Differentiation to Find a Tangent 
2.3B1 
Linear Approximations 
2.3B2 
Rectilinear Motion 
2.3C1 
Related Rates 
2.3C2 
Optimization 
2.3C3 
Particle Motion along Curves Given by Parametric
or VectorValued Functions (BC) 
2.3C4 
Rates of Change 
2.3D1 
Differential Equations 
2.3E1 
2.3E2 
Slope Fields 
2.3F1 
Euler's Method (BC) 
2.3F2 
Mean Value Theorem 
2.4A1 
BIG IDEA 3: INTEGRALS AND THE FUNDAMENTAL THEOREM OF
CALCULUS (AB/BC) 
EKS 
Antiderivatives 
3.1A1 
3.1A2 
Riemann Sums 
3.2A1 
3.2A2 
3.2A3 
Approximate Definite Integrals 
3.2B1 
Using Riemann Sums to Approximate Definite
Integrals 
3.2B2 
Using Geometry to Approximate Definite Integrals 
3.2C1 
Properties of Definite Integrals 
3.2C2 
Definite Integrals of Functions with
Discontinuities 
3.2C3 
Improper Integrals (BC) 
3.2D1 
3.2D2 
Analyze Functions Defined by an
Integral 
3.3A1 
3.3A2 
3.3A3 
Second Fundamental Theorem of Calculus 
3.3B1 
First Fundamental Theorem of Calculus 
3.3B2 
Indefinite Integrals 
3.3B3 
Closed Form Derivatives 
3.3B4 
Techniques for Finding Antiderivatives (AB/BC) 
3.3B5 
An Integral as an Accumulation of a Rate of
Change 
3.4A1 
An Integral of a Rate of Change as the Net Change 
3.4A2 
Interpreting a Definite Integral as the Limit of
a Riemann Sum 
3.4A3 
Average Value of a Function 
3.4B1 
Rectilinear Motion 
3.4C1 
Particle Motion along Curves Given by Parametric
or VectorValued Functions (BC) 
3.4C2 
Using Definite Integrals to Calculate Area
(AB/BC) 
3.4D1 
Using Definite Integrals to Calculate Volume 
3.4D2 
Using Definite Integrals to Calculate Length of a
Planar Curve 
3.4D3 
Using Definite Integrals to Calculate
Accumulation and Net Change 
3.4E1 
Differential Equations (AB/BC) 
3.5A1 
Differential Equations 
3.5A2 
3.5A3 
3.5A4 
Exponential Growth and Decay 
3.5B1 
Logistic Growth (BC) 
3.5B2 
BIG IDEA 4: SERIES (BC) 
EKS 
Series 
4.1A1 
4.1A2 
4.1A3 
4.1A4 
4.1A5 
4.1A6 
Sum of a Series 
4.1B1 
4.1B2 
4.1B3 
Taylor Series 
4.2A1 
4.2A2 
4.2A3 
4.2A4 
4.2A5 
Power Series 
4.2B1 
4.2B2 
4.2B3 
4.2B4 
4.2B5 
Radius and Interval of Convergence of
Power Series 
4.2C1 
4.2C2 
4.2C3 
4.2C4 