Math with Mr. Metzinger

Here is a short list of Khan Academy practice on our current unit

1. Area between a curve and an x-axis
2. Area between two curves given end points
3. Area between two curves
4. Average value of a function
5. Net change graphical
6. Rectilinear motion (integral calc)
7. volume of solids with known cross-sections
8. disk method
9. washer method
10. shell method
11. differential equations intro
12. slope fields & equations
13. separable equations

Here is the list of practice exercises for you to begin working on. They are already assigned in Khan Academy.

1. Antiderivatives
2. Indefinite Integrals intro
3. Indefinite integrals
4. Indefinite integrals: advanced
5. Indefinite integrals: e^x & 1/x
6. Finding the constant of integration
7. Indefinite integrals: sine & cosine
8. integrating trig functions
9. definite integral as net area
10. definite integral from a graph
11. definite integral properties (graphical)
12. definite integral properties (algebraic)
13. Riemann sums
14. Riemann sums with sigma notation
15. Trapezoidal rule
16. Definite integral as the limit of a riemann sum
17. Functions defined by integrals graphically
18. Functions defined by integrals
19. fundamental theorem of calculus
20. fundamental theorem of calculus: chain rule
21. evaluating definite integrals
22. evaluating definite integrals: advanced
23. area using definite integrals
24. definite integrals of piecewise functions
25. u-substitution: indefinite integrals
26. u-substitution: definite integrals
27. reverse chain rule

Here is the project to be completed  by your return from Christmas Break:

Khan Academy Derivative Applications: (Already Assigned)

1. Derivative as slope of curve
2. Derivative and direction of a function
3. derivative as slope of tangent line
4. secant lines
5. secant lines with simplification
6. increasing and decreasing intervals
7. relative minima and maxima
8. absolute minima and maxima (closed intervals)
9. absolute minima and maxima (entire domain)
10. analyze concavity (graphical)
11. analyze concavity (algebraic)
12. second derivative test
13. points of inflection (graphical)
14. points of inflection (algebraic)
15. linear approximation
16. rectilinear motion (differential calc)
17. related rates intro
18. related rates (multiple areas)
19. related rates (pythagorean theorem)
20. related rates (advanced)
21. applied rates of change
22. mean value theorem

And the v2 Sample AP questions on Derivative Applications

When you see the list you will freak out. However a lot of these go very quickly. Fight the urge and do the work by hand. It will pay off in the long run.

1. Derivative as a limit: numerical
2. derivative as a limit: algebraic
3. differentiability at a point: graphical
4. differentiability at a point: algebraic
5. visualizing derivatives
6. differentiating linear functions
7. basic differentiation rules
8. polynomial functions differentiation
9. tangents of polynomials
10. negative powers differentiation
11. fractional powers differentiation
12. radical functions differentiation intro
13. sine & cosine differentiation
14. differentiate products
15. product rule
16. differentiate composite functions
17. chain rule
18. differentiate quotients
19. quotient rule
20. rational functions differentiation
21. radical functions differentiation
22. trig functions differentiation intro
23. trig functions differentiation
24. exponential functions differentiation: intro
25. exponential functions differentiation
26. logarithmic functions differentiation intro
27. logarithmic functions differentiation
28. derivatives capstone
29. implicit differentiation
30. derivatives of inverse functions
31. disguised derivatives
32. composite exponential function differentiation
33. second derivatives
34. L Hopital’s rule
35. L Hopitals rule (composite exponential functions)