David Brearley High School

Time Frame

Students will have mastered the following:

September – January

1. Graph quadratic functions in standard form
2. Graph quadratic functions in vertex or intercept form
3. Solve x2+bx+c=0 by factoring
4. Solve ax2+bx+c=0 by factoring
5. Solve quadratic equations by finding square roots
6. Perform operations with complex numbers
7. Solve quadratic equations by completing the square
8. Use the Quadratic Formula and the discriminant
9. Graph and solve quadratic inequalities
10. Use properties of exponents
11. Evaluate and graph polynomial functions
12. Add, subtract, and multiply polynomials
13. Factor and solve polynomial equations
14. Apply the Remainder and Factor Theorems
15. Find Rational Zeros
16. Apply the Fundamental Theorem of Algebra
17. Analyze graphs of polynomial functions
18. Model Inverse and Joint Variation
19. Graph simple rational functions
20. Graph general rational functions
21. Multiply and divide Rational expressions
22. Add and subtract Rational expressions
23. Solve Rational equations

February - June

1. Describe and compare function characteristics
2. Evaluate n-th roots and use rational exponents
3. Apply properties of rational exponents
4. Perform function operations and composition
5. Use inverse functions
6. Graph square root and cube root functions
7. Solve radical equations
8. Graph exponential growth functions
9. Graph exponential decay functions
10. Use functions involving “e”
11. Evaluate logarithms
12. Graph logarithmic functions
13. Apply properties of logarithms
14. Solve exponential and logarithmic equations
15. Create and apply exponential functions
16. Define and use sequences and series
17. Analyze arithmetic sequences and series
18. Analyze geometric sequences and series
19. Find and use measures of central tendency
20. Analyze variation
21. Construct and interpret normal distributions
22. Apply basic right triangle trigonometry