### 3: Reasoning with Equations and Inequalities

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

3.3.1: Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x -h)² = k that has the same solutions. Derive the quadratic formula from this form.

3.3.2: 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 + bi for real numbers a and b. (Limit to non-complex roots.)

#### 3.5: Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables.

3.5.1: Solve systems of linear equations using the substitution method.

3.5.2: Solve systems of linear equations using linear combination.

### 4: Structure and Expressions

#### 4.3: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

4.3.1: Find the zeros of a quadratic function by rewriting it in equivalent factored form and explain the connection between the zeros of the function, its linear factors, the x-intercepts of its graph, and the solutions to the corresponding quadratic equation.

### 6: Interpreting Functions

#### 6.1: Extend previous knowledge of a function to apply to general behavior and features of a function.

6.1.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

6.1.2: Represent a function using function notation and explain that f(x) denotes the output of function f that corresponds to the input x.

6.1.3: Understand that the graph of a function labeled as f is the set of all ordered pairs (x,y) that satisfy the equation y =f(x).

#### 6.7: Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.)

6.7.1: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

### 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: Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

### 10: Interpreting Data

#### 10.3: Using technology, compute and interpret the correlation coefficient of a linear fit.

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.