**Topic 3 - Use Functions to Model Relationships**

Standard: MAFS.8.F.A - Define, evaluate, and compare functions.

Standard: MAFS.8.F.B - Use functions to model relationships between quantities.

Standard: MAFS.8.F.B - Use functions to model relationships between quantities.

## 3-1: Understand Relations and Functions

Objectives:

- I can identify whether a relation is a function.
- I can interpret a function.

- When is a relation a function?

- relation
- function

## 3-2: Connect Representations of Functions

Objectives:

- I can identify functions in different representations: equations, tables, and graphs.
- Identify linear and nonlinear functions in different representations.

- What are different representation of a function?

- constant rate of change
- initial value
- linear function
- nonlinear function

## 3-3: Compare Linear and Nonlinear Functions

Objectives:

- I can compare properties of linear functions in different representations.
- I can compare properties of linear and nonlinear functions in different representations.

- How can you compare two functions?

- none

## 3-4: Construct Functions to Model Linear Relationships

Objectives:

- I can construct a linear function to model a relationship using an equation in the form y=mx+b.

- How can you use a function to represent a linear relationship?

- none

## 3-5: Intervals of Increase and Decrease

Objectives:

- I can describe qualitatively the behavior of a function by analyzing its graph.
- I can describe the graph of a function at each interval.

- How does a qualitative graph describe the relationship between quantities?

- interval

How do you figure out a situation that a graph represents?

## 3-6: Sketch Functions from Verbal Descriptions

Objectives:

- I can draw a qualitative graph of a function based on a verbal description.
- I can analyze and interpret the sketch of a graph of a function.

- How does this sketch of a graph of a function help describe its behavior?

- none

How do you make an approximate graph from a word problem?