### 3: Reasoning with Equations and Inequalities

#### 3.2: Solve mathematical and real-world problems involving quadratic equations in one variable.

3.2.1: Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a + b for real numbers a and b.

### 5: Building Functions

#### 5.1: Write a function that describes a relationship between two quantities.

5.1.1: Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.

5.1.2: Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real-world situations.

### 6: Interpreting Functions

#### 6.6: Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function.

6.6.1: Interpret expressions for exponential functions by using the properties of exponents.

### 7: Linear, Quadratic, and Exponential

#### 7.1: Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval.

7.1.1: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

### 8: Complex Number System

#### 8.1: Know there is a complex number 𝑖 such that i² = −1, and every complex number has the form a + bi with a and b real.

Correlation last revised: 1/5/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.