# Module 3 - Functions

## Standards

### Define, evaluate, and compare functions.

• 8.F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
• 8.F.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
• 8.F.3.Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

### Define, evaluate, and compare functions.

• 8.F.4.Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
• 8.F.5.Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally

### Objectives

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

### Lesson 3.05

Grading Summary
A B C D
94-100 80-89 70-79 65-69

### What You Need to be Successful

• Computer - PC or Mac with multimedia capabilitieis.
• Software - Presentation, Word Processing, and Spreadsheet (can be open source).
• Time Management - Deadlines approach quickly - don't wait until the last minute to get the job done!

#### Problem of the Week

In addition to assignments, quizzes and tests, students will develop math skills through the weekly enrichment activity, or Problem of the Week (POW). This problem will be due the last day of each week (normally Thursday). Each POW has four parts - the main problem and three exercises which further develop the strategy introduced in the main problem.

### About Your Instructor Stefanie Brimacomb is a multi-endorsed math, business, and computer teacher in a remote Idaho town where online learning is essential to provide students a competitive education.

Contact Information

e-mail:brimstef@citlink.net
cell/text:(208)413-3783