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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 3.5B1 Differential Equations (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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