AP Calculus BC
1st 9-week Calendar

Monday

Tuesday

Wednesday

Thursday

Friday

August 27

28

29

30

31

First Day!

Course overview, expectations, parent function review

Txt P.1-P.4

 

Computer lab and online course software orient.,  introduction/lab on limits

Txt 1.1

 

Using graphs and tables of data to determine limits

Txt 1.2

September 3

4

5

6

7

 

 

Properties of limits, algebraic techniques for evaluating limits,

comparing relative magnitudes of functions and their rates of change

Txt 1.3

 

Continuity and one-sided limits, geom. understanding of the graphs of cont. functions, Intermediate Value Theorem, infinite limits, using limits to find asymptotes of a function

Txt 1.4-1.5

10

11

12

13

14

 

Test 1.1

 

Introduction/lab on differentiation (local linearity)

Txt 2.1

 

17

18

19

20

21

Understanding of the derivative (rule of 4), approx. rates of change from graphs and tables of data, various views of derivative, relationship btw. differentiability and continuity, functions that have a vertical tangent at a point, & a point on which there is no tangent

Txt 2.1

 

Differentiation rules for basic functions, including power functions and trigonometric functions, and rules of differentiation for sums and differences

Txt 2.2

 

Rules of differentiation for products and quotients and higher order derivatives

Txt 2.3

24

25

26

27

28

 

Test 1.2

 

The chain rule

Txt 2.4

 

 

 October 1

2

3

4

5

 

Implicit differentiation

Txt 2.5

 

Related rates

Txt 2.6

 

8

9

10

11

12

Test 1.3

 

Extrema on an interval, Extreme Value Theorem, Rolle’s Theorem and Mean Value Theorem, and their geometric consequences

Txt 3.1-3.2

 

Lab on the First Derivative Test, increasing and decreasing functions and the First Derivative Test

Txt 3.3

15

16

17

18

19

 

Lab on concavity and points of inflection, concavity and its relationship to the first and second derivatives, Second Derivative Test

Txt 3.4

 

Limits at infinity, summary of curve sketching, and relating the graphs of  f,  and f”

Txt 3.5-3.6

 

22

23

24

25

26

Test 1.4

 

Optimization including both relative and absolute extrema

Txt 3.7

 

Tangent line to a curve and linear approximations

Txt 3.9