### 1: Linear and Absolute Value Equations and Inequalities

#### 1.1: Solve equations and inequalities involving absolute value. Solve systems of linear equations and inequalities in three variables by substitution and elimination. Solve problems that can be modeled using systems of linear equations.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Compound Inequalities

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

### 2: Complex Numbers

#### 2.1: Add, subtract, multiply and divide complex numbers.

Points in the Complex Plane

### 3: Quadratic Equations and Functions

#### 3.1: Solve quadratic equations in the complex number system. Solve problems that can be modeled using quadratic equations and functions.

Points in the Complex Plane

Roots of a Quadratic

### 4: Quadratic Equations and Functions

#### 4.1: Graph quadratic functions. Determine how the graph of a parabola changes if a, b, and c are changed in the equation y = a(x − b)2 + c. Find an equation for a parabola given sufficient information.

Addition and Subtraction of Functions

Exponential Functions

Parabolas

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

### 6: Polynomial Equations and Functions

#### 6.1: Perform arithmetic operations, including long division, on polynomials. Find a polynomial given its roots and use the relationship between solutions of an equation, zeros of a function, x-intercepts of a graph and factors of a polynomial expression to solve problems.

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

### 7: Polynomial Equations and Functions

#### 7.1: Add, subtract, multiply, divide, reduce and evaluate rational expressions with polynomial denominators. Simplify rational expressions including expressions with negative exponents in the denominator. Solve problems that can be modeled using equations involving rational functions.

General Form of a Rational Function

Rational Functions

### 8: Exponential and Logarithmic Equations

#### 8.1: Use laws of exponents to derive laws of logarithms. Use laws of logarithms to solve problems. Solve exponential and logarithmic equations. Solve problems that can be modeled using equations involving exponents and logarithms.

Exponential Functions

### 9: Sequences and Series

#### 9.1: Find specific terms of arithmetic and geometric sequences. Find partial sums of arithmetic and geometric series. Solve problems that can be modeled using arithmetic and geometric series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

### 10: Combinatorics and Probability

#### 10.1: Use permutations, combinations and other counting methods to determine the number of ways that events can occur. Calculate the probability of compound events, and analyze probabilities to interpret odds and risks of events.

Binomial Probabilities

Permutations and Combinations

Correlation last revised: 5/11/2018