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# Define and graph linear functions

Lesson 1 of 20

## Objective: SWBAT define and graph linear functions

#### Warm-up

*10 min*

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.

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#### Homework

*15 min*

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

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS

- LESSON 1: Define and graph linear functions
- LESSON 2: Graph linear functions while solving for "y" first
- LESSON 3: Determine if a given point is a solution to a linear function
- LESSON 4: Define and determine slope when given points (Part 1)
- LESSON 5: Define and determine slope when given points (Part 2)
- LESSON 6: Slope-intercept Form
- LESSON 7: Determine slope and intercept from an equation
- LESSON 8: Big ideas about "m" and "b"
- LESSON 9: Find slope in four ways
- LESSON 10: Write slope-intercept equations given point and slope
- LESSON 11: Write slope-intercept equations given two points
- LESSON 12: Compare slopes of functions I
- LESSON 13: Compare slopes of functions II
- LESSON 14: Construct functions to model linear relationships I
- LESSON 15: Construct functions to model linear relationships II
- LESSON 16: Construct functions III
- LESSON 17: Construct functions IV
- LESSON 18: Compare linear relationships I
- LESSON 19: Are you smarter review
- LESSON 20: Assessment #9 - Linear Functions Unit Assessment