Define and graph linear functions

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Objective

SWBAT define and graph linear functions

Big Idea

What the heck is a line, anyway? How does the equation relate to its graph? Students get introduced to the concept of a linear function.

Warm-up

10 minutes

Each day, students complete a Warm-up that usually consists of spiraling the previous day's material, in addition to older material.  Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click Warm Up.

In this case, the warm-up addresses a problem that many students missed on the last unit assessment.  Only one of them has a negative slope... and so the question I ask to open is:

"In which of these cases should there be a positive slope?"  We then analyze the incorrect answer choices to finally arrive at the correct answer choice, a strategy I often use.

Because students often have only an emerging understanding that positive slopes represent a positive association (in other words, as x increases, y increases also) - this is a wonderful learning opportunity to continue to develop this understanding.

Homework

15 minutes

The homework file is a resource that generally includes 5-7 problems that include questions related to this lesson, as well as spiraled review.  I also give the kids the answers to all the problems. 

Tonight's homework assignment: 4 - 1 HW40 Define and graph linear functions