### Unit Plan

# Think FUNCTIONally: Representing and Modeling With Functions

In these lessons, students will represent functions using formulas and graphs. They will calculate the rate of change and use this to graph and predict future outcomes.

Grades

6–8

### Quick links to unit plan resources:

### Overview

Welcome to Think FUNCTIONally, a new math program that builds key introductory functions skills. Developed by The Actuarial Foundation with Scholastic, this program encourages students to succeed in the classroom and beyond by setting skill-building activities in a real-world context. In the program’s printable activity sheets, students will embark on an Arctic adventure with ocean researchers while exercising their critical-thinking abilities.

### Objectives

**Students will:**

- Define a function as a rule that assigns exactly one output to each input
- Indicate that functions can be represented numerically with tables, algebraically with formulas, graphically with graphs made up of “(input, output)” ordered pairs, or through verbal description
- Plot ordered pairs when given the coordinates
- Define the terms dependent variable, independent variable, linear function, and y-intercept
- Find the slope/rate of change and y-intercept/initial value of a line from different representations of a function
- Use one of the four representations of a function to produce the others
- Use the equation y = mx + b when working with straight lines