Unit 1

Linear Functions

Students will be able to:

1)  Identify families of functions and describe transformations of parent functions

2)  Write equations of linear functions using a variety of information

3)  Solve systems of linear equations of three variables algebraically

Unit 2

Quadratic Functions

Students will be able to:

1)  Describe and write transformations of quadratic functions

2)  Graph quadratic functions using x-intercepts

3)  Write equations of parabolas

4)  Write quadratic equations to model data sets

Unit 3

Quadratic Equations and Complex Numbers

Students will be able to:

1)  Solve quadratic equations for real and complex solutions

2)  Add, subtract, and multiply complex numbers

3)  Solve systems of nonlinear equations

4)  Solve and graph quadratic inequalities

Unit 4

Polynomials

Students will be able to:

1)  Graph and analyze polynomial functions

2)  Add, subtract, multiply, divide, and factor polynomials

3)  Find solutions/zeros of polynomial equations

4) Write polynomial  functions

Unit 5

Rational Exponents and Radical Functions

Students will be able to:

1)  Evaluate expressions using properties of (rational) exponents

2)  Graph radical functions

3)  Solve equations/inequalities containing radicals and rational exponents

4) Add, subtract, multiply, and divide functions

5) Explore inverses of functions

Unit 6

Exponential and Logarithmic Functions

Students will be able to:

1)  Define and evaluate logarithms, using properties of logarithms and change of base formula

2)  Graph exponential and logarithmic functions, including transformations

3)  Solve exponential and logarithmic equations

4) Model data with exponential and logarithmic functions

Unit 7

Rational Functions

Students will be able to:

1)  Classify and write direct and inverse variation functions

2)  Graph rational functions

3)  Add, subtract, multiply, and divide rational functions

4)  Solve rational equations

Unit 8

Sequences and Series

Students will be able to:

1)  Use sequence notation and write a rule for the nth term of an arithmetic or geometric sequence

2)  Find sums of finite arithmetic, finite geometric series, and infinite geometric series

3)  Evaluate recursive rules for sequences

Unit 9

Trigonometric Ratios and Functions

Students will be able to:

1)  Find unknown side lengths or angle measures of right triangles

2) Evaluate trigonometric functions of any angle (including radians)

3)  Write and graph trigonometric functions, including transformations

4)  Verify and use trigonometric identities

Unit 10

Probability

Students will be able to:

1)  Find probabilities of independent and dependent events

2)  Calculate conditional probabilities

3)  Use formulas for permutations and combinations

4)  Use the Binomial Theorem to expand binomials

5)  Construct and interpret probability distributions and normal distributions

Unit 11

Data Analysis and Statistics

Students will be able to:

1)  Calculate probabilities using normal distributions, including the use of z-scores

2)  Analyze data collection methods and potential biases

3)  Approximate margins of error for sample sets