AP Calculus AB Pacing Guide First Semester
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AP Calculus AB Pacing Guide First Semester 1st Quarter AP Standards Lesson Focus Additional Notes EK 1.1A1, 2, 3 Sec 2.2 The Limit of a Function Chapter 2 EK 1.1B1 Sec 2.3 Calculating Limits Using the Limit Laws 1 week EK 1.1C1, 2 Sec 2.5 Continuity EK 1.2A1, 2, 3 Sec 3.1 Derivatives and Rates of Change EK 2.1A1, 2, 3, 4, 5 Sec 3.2 The Derivative as a Function EK 2.1B1 Sec 3.3 Differentiation Formulas EK 2.1C1, 2, 3, 4, 5 Sec 3.4 Derivatives of Trigonometric Functions Chapter 3 with 7.2 and EK 2.1D1, 2 Sec 3.5 The Chain Rule 7.4 EK 2.2B1, 2 Sec 3.6 Implicit Differentiation 7 weeks EK 2.3A1, 2 Sec 3.8 Related Rates EK 2.3B1, 2 Sec 3.9 Linear Approximations and Differentials EK 2.3C2 Sec 7.2 Exponential Functions and Their Derivatives EK 2.3D1 Sec 7.4 Derivatives of Logarithmic Functions End of 1st Quarter Fall Break 2nd Quarter AP Standards Lesson Focus Additional Notes Sec 4.1 Maximum and Minimum Values EK 1.2B1 Sec 4.2 The Mean Value Theorem EK 1.1D1, 2 Sec 4.3 How Derivatives Affect the Shape of a Graph Chapter 4 EK 2.2A1, 2, 3 Sec 4.4 Limits at Infinity; Horizontal Asymptotes 7 weeks EK 2.3C1, 3 Sec 4.7 Optimization Problems EK 2.4A1 Sec 4.9 Antiderivatives EK 3.1A1, 2 AP Module: Particle Motion Sec 5.1 Areas and Distances Chapter 5 1 week EK 3.2A1, 2, 3 nd End of 2 Quarter End of 1st Semester Semester I Exam Winter Break AB Calculus AB Pacing Guide Second Semester 3rd Quarter AP Standards Lesson Focus Additional Notes EK 3.2B1, 2 EK 3.2C1, 2, 3 Sec 5.2 The Definite Integral EK 3.3A1, 2, 3 Sec 5.3 The Fundamental Theorem of Calculus Chapter 5 (continued) 4 weeks EK 3.3B1, 2, 3, 4, 5 Sec 5.4 Indefinite Integrals and the Net Change Theorem EK 3.4A1, 2, 3 Sec 5.5 The Substitution Rule EK 3.4C1 EK 3.4E1 Sec 6.1 Areas Between Curves Sec 6.2 Volumes Chapter 6 EK 3.4B1 Volumes of Known Cross Sections 2 weeks EK 3.4D1, 2 Sec 6.5 Average Value of a Function Sec 7.1 Inverse Functions Sec 7.2 Exponential Functions (Integration) Sec 7.3 Logarithmic Functions Chapter 7 EK 2.1C6 Sec 7.4 Logarithmic Functions (Integration) 3 weeks EK 3.5B1 Sec 7.6 Inverse Trigonometric Functions End of 3rd Quarter 4th Quarter AP Standards Lesson Focus Additional Notes Chapter 7 (continued) Sec 7.8 Indeterminate Forms and L’Hopital’s Rule EK 1.1C3 1 week Sec 10.1 Modeling with Differential Equations EK 2.3E1, 2 Chapter 10 Sec 10.2 Direction Fields EK 2.3F1 2 weeks Sec 10.3 Separable Equations EK 3.5A1, 2, 3, 4 End of 4th Quarter End of 2nd Semester Semester II Exam .