### 1: Linear and Nonlinear Systems

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

1.2.1: algebraically (elimination and substitution)

1.2.2: graphically.

### 2: Quadratic Functions and Equations

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

2.1.1: vertex

2.1.2: domain and range

2.1.3: axis of symmetry

2.1.4: intercepts.

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

2.4.1: factoring

2.4.2: the quadratic formula

2.4.3: graphing.

#### 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

2.5.2: graphing.

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

#### 3.1: Solve nonlinear equations:

3.1.1: by factoring

3.1.2: graphically.

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

3.6.1: absolute value equations

3.6.2: radical equations

3.6.4: quadratic inequalities

### 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

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

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

#### 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

### 6: Finance

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

6.1.3: exchange rates.

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

Correlation last revised: 9/16/2020

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