### 1: Linear and Nonlinear Systems

#### 1.1: Graph linear inequalities, in two variables.

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

#### 1.2: Solve systems of linear equations, in two variables:

1.2.1: algebraically (elimination and substitution)

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

1.2.2: graphically.

Cat and Mouse (Modeling with Linear Systems) - Metric

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

### 2: Quadratic Functions and Equations

#### 2.1: Determine the following characteristics of the graph of a quadratic function:

2.1.1: vertex

Quadratics in Vertex Form

Zap It! Game

2.1.2: domain and range

Exponential Functions

2.1.3: axis of symmetry

Quadratics in Polynomial Form

2.1.4: intercepts.

Polynomials and Linear Factors

Zap It! Game

#### 2.2: Connect algebraic and graphical transformations of quadratic functions, using completing the square as required.

Exponential Functions

Quadratics in Vertex Form

Translating and Scaling Functions

Translations

Zap It! Game

#### 2.3: Model real-world situations, using quadratic functions.

Addition and Subtraction of Functions

Quadratics in Polynomial Form

#### 2.4: Solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using:

2.4.1: factoring

Roots of a Quadratic

2.4.2: the quadratic formula

Roots of a Quadratic

2.4.3: graphing.

Roots of a Quadratic

#### 2.5: Determine the character of the real and non-real roots of a quadratic equation, using:

2.5.1: the discriminant in the quadratic formula

Roots of a Quadratic

2.5.2: graphing.

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

### 3: Polynomial and Other Nonlinear Equations and Functions

#### 3.1: Solve nonlinear equations:

3.1.1: by factoring

Quadratics in Factored Form

3.1.2: graphically.

Quadratics in Factored Form

Radical Functions

#### 3.2: Use the remainder theorem to evaluate polynomial expressions and the factor theorem to determine factors of polynomials.

Dividing Polynomials Using Synthetic Division

#### 3.3: Perform operations on functions and compositions of functions.

Addition and Subtraction of Functions

#### 3.4: Determine the inverse of a function.

Logarithmic Functions

Radical Functions

#### 3.5: Describe, graph and analyze polynomial and rational functions, using technology.

General Form of a Rational Function

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

Rational Functions

#### 3.6: Formulate and apply strategies to solve:

3.6.1: absolute value equations

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

3.6.2: radical equations

Operations with Radical Expressions

Radical Functions

3.6.4: quadratic inequalities

Quadratic Inequalities

### 4: Formal Reasoning

#### 4.1: Differentiate between inductive and deductive reasoning.

Conditional Statements

### 5: Circles and Coordinate Geometry

#### 5.1: Use technology and measurement to confirm and apply the following properties to particular cases:

5.1.2: the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

Chords and Arcs

Inscribed Angles

5.1.3: the inscribed angles subtended by the same arc are congruent

Inscribed Angles

5.1.4: the angle inscribed in a semicircle is a right angle

Inscribed Angles

#### 5.2: Prove the following general properties, using established concepts and theorems:

5.2.2: the angle inscribed in a semicircle is a right angle

Inscribed Angles

### 6: Finance

#### 6.1: Solve consumer problems, which may include examples such as:

6.1.3: exchange rates.

Percent of Change

#### 6.4: Plot and describe financial data of exponential form.

Compound Interest

#### 6.5: Solve investment and credit problems involving simple and compound interest.

Compound Interest

Correlation last revised: 9/16/2020