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Mr. Kennedy's Math Class
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Algebra 1 Standards
1. Order of Operations/Properties of numbers
2. Solving equations with one variable
3. Algebra without Numbers
4. Inequalities
5. Finding Slope
6. Slope Intercept form
7. Writing Point-Slope Equations
8. x and y intercepts of lines
9. Parallel and Perpendicular Lines
10. Testing for Functions
11. Function Notation
12. Transforming Linear Functions
13. Recursive routines
14. Scatter Plots and Lines of Fit
15. Residuals
16. Solving Systems using Substitution
17. Solving Systems using Elimination
18. Solving Systems of Inequalities
19. Simplifying Exponential Expressions
20. Exponential Functions
21. Translating Absolute Value
22. Add and Subtract Polynomials
23. Expanding Quadratics
24. Basic Factoring - GCF
25. Factoring Quadratics, a=1
26. Factoring Quadratics a not 1
27. Quadratic Functions / Parabolas
28. Vertex form for Parabolas
29. Completing the Square
30. Switching forms with Quadratics
31. Solving Quadratic Equations with the square root method
32. Solving Quadratic Equations (Factored Form / Finding Roots
33. Simplifying Radical Expressions
34. Quadratic Formula
35. Square Root Functions
36. Identifying Parent Graphs for Functions
37. Domain and Range
38. Translation and Reflection
39. Stretching and Shrinking Graphs
40. Histograms and box plots
Calculus Standards
0: Algebra Review Concepts for Calculus
1. Triginometry
2. Expanding Binomials
3. Long and Synthetic Division
4. Logarithms and exponents
5. Fractional exponential notation and square roots
6. Completing the square
7. Factoring power functions
8. Graphing Functions
NQ1. Finding average rate of change
1. Finding the Limit at a Point
2. Continuity and Discontinuity, IVT
3. Asymptotes and Limits at 0 and infinity
4. Finding derivatives with the limit def
5. Finding derivatives with the power rule
NQ2. Finding the derivative at a point
6. Differentiability and Cusps
7. Sketching with Derivatives
8. Trig derivatives and antiderivatives
9. Using the product/quotient rule
10. Using the chain rule
11. Implicit Differentiation
12. Related rates
FRQ1: Related Rates
NQ3. Finding Critical Points
13. Finding absolute extrema
14. Finding Increasing and Decreasing with Derivatives
15. Assessing concavity w/ 2nd Deriv
16. Derivatives and graphs, MVT
17. L'Hopital's Rule
18. Optimization problems
FRQ2: Applications of Derivatives
19. Approx area under a curve
20. Solve definite/indefinite integrals (power/trig)
21. Properties of Integrals, Second Fundamental Theorem
22. Mean value theorem
23. Integrating with substitution
FRQ3: Derivative Graph
24. Ln derivatives and integrals
NQ4. Logarithmic differentiation
NQ5. Using division to simplify integrals
25. Exponential derivatives and integrals
26. Bases that are not e exponential derivatives/integrals
27. Inverse Trigonometric functions
FRQ4: Exponentials
28. Interpreting diffy-Qs/Euler’s
29. Application of slope fields
30. Separation of Variables
FRQ5: Differential Equations
31. Area between two or more curves
32. Volumes – cross sections
33. Volumes – disk/washer method
FRQ6: Area and Volume
Review Material for the AP test
What is Calculus?
AP Information / College Credit
Mr. Kennedy's Math Class
25. Exponential derivatives and integrals
See more examples here: http://17calculus.com/derivatives/exponential-natural-log/
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