AP CALCULUS PACING GUIDE
(B) Day 1: Extrema on an Interval
CHAPTER 3
Section 1 topics to cover are what is a critical number, what are the differences between relative and absolute extrema
(maximums and minimums).
Homework Assignment: Page 169 #12, 14, 18-28e, 38, 40, 54, 56
(A) Day 2: Rolle’s Theorem and Mean Value Theorem
Section 2 topic to cover are
Homework Assignment: Page 169 #16, 35, 58, 60, 62 and Page 176 #12-20eoe,
(B) Day 3: Rolle’s Theorem and Mean Value Theorem and Lecture on Chapter 3 Section 3
Go over homework. Solidify concepts about Rolle’s Theorem and MVT. Introduce definitions of increasing and decreasing, test for increasing & decreasing and the First Derivative Test
Homework: Page 176 #30, 40-46e, 54, 55, 60, 77-80
(A) Day 4: Increasing and Decreasing Functions and the First Derivative Test
Section 3 topics to cover are applying the first derivative test and how it helps us understand the graph of a function.
Homework Assignment: Page 186 #4, 6, 10, 12, 18-26eoe, 32, 60-64e
(B) Day 5: Increasing and Decreasing Functions and the First Derivative Test
Section 3 topics to cover are relationships between graphs of functions and their derivatives
Homework Assignment: Page 186 #20-28eoe, 44, 46, 66-70e, 77, 90
(A) Day 6: Concavity and the Second Derivative Test
Section 4 topics to cover are the definition of concavity, testing for concavity, what is a point of inflection and how do we find them and applying the first derivative test and how it helps us understand the graph of a function
Homework Assignment: No Homework
(B) Day 7: Concavity and the Second Derivative Test
Section 4 topics to cover are relationships between first and second derivatives and how this relates to the graph of a function.
Homework Assignment: Page 195 #2-10e, 20-28eoe, 38-44e, 66, 68
(A) Day 8: A Summary of Curve Sketching
Section 6 topics to cover are establishing a clearly defined set of guidelines for analyzing the graph of a function and using these steps to help build an accurate behavior chart.
Homework: No homework
(B) Day 9: A Summary of Curve Sketching
Section 6 topics to cover are establishing a clearly defined set of guidelines for analyzing the graph of a function and using these steps to help build an accurate behavior chart.
Homework: Page 215 #6-18eoe, 30, 38, 47, 62, 64

(A) Day 10: Optimization
Section 7 topics to cover are writing the correct primary equation, deducing the number of variables (if possible) through substitution, using derivatives to find extrema of a story problem and identifying feasible answers as they relate to the domain.
Homework Assignment: Page 223 #4-8e, 18, 20, 21, 24, 39, 40, 54, 60
(B) Day 11: Optimization
Go over homework in class. Answer all questions and summarize the idea of optimization
Homework: No Homework
(A) Day 12: Review Chapter 3 Sections 1-7
Complete whiteboard review activity
When reviewing, it is important to remember that even though we did not cover section 5 during this chapter, we did cover limits at infinity back in chapter 1.
Homework Assignment: Page 242 # (to be determined)
(B) Day 13: Review Chapter 3 Sections 1-7
Go over day 12 homework. Have students put problems on the board and go over each in detail.
Homework Assignment: Page 242 # (to be determined)
(A) Day 14: Review Chapter 3 Sections 1-7
White board review (board wars?)
Homework Assignment: No Homework
(B) Day 15: Chapter 3 Free Response Assessment
Distribute Sample Multiple Choice Questions.
Homework Assignment: Complete Sample Multiple Choice questions
(A) Day 16: Chapter 3 Free Response Assessment
Sample Multiple Choice solutions will be posted outside the classroom at 7:30am so that you may check your answers before the exam
Homework Assignment: No Homework
Day 17 (A) and Day 18 (B) ---reflect on what we have accomplished so far and prepare for the holiday break