Diving In to AP® Calculus (AB & BC)

 


 

 

AB Answer Key only $31.95


What is it? "Diving In"  tests all concepts in the AB and BC Calculus exam in the format and difficulty of the actual exam. Only topics that have been taught to that point will be addressed. So you are assured that a straight line motion question in the derivative will not ask questions about distance traveled that requires an integral. You can use Diving In from week one.

 

"Diving In" has been revised to match the format of the 2017 AP® Exam. All multiple-choice problems have 4 choices (A, B, C, D) and the puzzle element, found in the previous edition, has been removed.  One additional topic in L'Hospital's Rule has been added.

 

What Does Diving In look like?  Every one of the 37 topics in AB and 18 topics in BC are similar with 4 multiple-choice problems and one free-response problem.

 

THE STUDENT VERSION OF "Diving In" IS FREE!

 

 

Diving In - AB Version

 

Topic Download

1. Limits

2. Rates of Change

3. Derivatives by the Definition

Issue 1

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4. Basic Derivatives

5. Equation of a Tangent Line

6. Derivative of Trig Functions

Issue 2

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7. Chain Rule

8. Local Linear Approximation

9. Implicit Differentiation

Issue 3

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10. Derivatives - ln and exponentials

11. Horizontal and Vertical Tangents

12. Continuity and Differentiability

Issue 4

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13. Intermediate, Mean Value Theorems

14. Derivative of Inverses

15. Related Rates

Issue 5

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16. Straight-line Motion

17. Function Analysis

18. Absolute Extrema

Issue 6

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19. 2nd Derivative Test

20. Optimization

21. Integration

Issue 7

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22. Integration w/Substitition

23. Integration with Trig Functions

24. Integration with ln and e

Issue 8

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25. Definite Integral as Area

26. Riemann Sums/Trapezoidal Rule

27. Fundamental Theorem of Calulus

Issue 9

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28. The Accumulation Function

29. Integral of Rate of Change

30. Average Value of a Function

Issue 10

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31. Straight-Line Motion - Integrals

32. Calculus and Inverse Trig

33. Area

Issue 11

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34. Volume

35. Slope Fields / DEQ's

36. DEQ Growth Problems

37. L'Hospital's Rule

Issue 12

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How About the Solutions?  You can purchase the solutions to "Diving In to Calculus - AB." The solutions walk you through all the necessary calculus steps and explain how they should be graded. You will receive links for all 12 issues. Each takes up roughly 2 megs of memory so they should download quite quickly.

 

 

AB Answer Key only $31.95

Diving In to Calculus - BC Version

 

THE STUDENT VERSION OF "Diving In" IS FREE!

 

Diving In - BC Version

 

BC Answer Key only $25.95 

 

 

Topic Download

1. L'Hospital's Rule

2. Integration by Parts

3. Derivatives using Partial Fractions

Issue 1

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4. Improper Integrals

5. Arc Length

6. Euler's Method

Issue 2

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7. Logistic Curves

8. Parametric Equations

9. Vector-Valued Functions

Issue 3

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10. Polar Curves

11. Taylor Polynomials

12. Lagrange Error

Issue 4

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13. Convergence Tests (Basic Series)

14. Convergence Tests (Complicated Series)

15. Alternating Series & Error Bounds

Issue 5

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16. Power Series Convergence Intervals

17. Taylor Series

18. Manipulation of Series

Issue 6

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How About the Solutions?  You can purchase the solutions to "Diving In to Calculus - BC." The solutions walk you through all the necessary calculus steps and explain how they should be graded. You will receive links for all 6 issues. Each takes up roughly 2 megs of memory so they should download quite quickly.

 

BC Answer Key only $25.95 

 

Many teachers are looking for AP-type problems that test student cumulative knowledge. "Diving In to AP Calculus" is timely, challenging, and yes, fun! Hope you and your students enjoy using it.