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JMAP FOR CALCULUS

To access Practice Worksheets aligned to the College Board's AP Calculus 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
One-Sided 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
Vector-Valued 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 Vector-Valued 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 Antiderivatives 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 Vector-Valued 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 (BC) 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
 
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