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# Find slope in four ways

Lesson 9 of 20

## Objective: SWBAT determine the slope of linear functions in 4 ways.

#### 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.

Today's warm-up is a bit different, in that it reviews, verbatim, the big ideas from the previous day. I review these by putting a linear function on the board, say, y = 3x - 1.

Here is a series of questions I might ask about this:

- Where does this line cross the y-axis?

- Is it sloping upward or downward? How do you know?

- If I changed the slope to 2, would the line become more or less steep? How do you know?

- If I changed the slope to -3, what would happen?

- How could I get this line to pass through the origin?

- How could I move this line "up" without changing its slope?

- etc.

These push their understanding of the structure of the equation, and how it would change.

#### Resources

*expand content*

#### Homework

*15 min*

The homework file is a resource that generally includes 5-7 problems, some of which are related to the day's lesson, as well as spiraled review of previous lessons. I also give the kids the answers to all the problems.

Sometimes, the HW file is a take-home assessment.

*expand content*

*Responding to Jan Adamchak*

Jan - thanks so much for your kind comment! I have found it so helpful, after tackling each representation separately over the unit, to have a consolidation day where the kids both review the four ways, all in one place, as well as make mathematical judgments on when to use what strategy. Hope you are having a good summer!

Jeff

| 2 years ago | Reply

I like this a lot because it shows the 4 representations. I intend to use it next year. Thank you.

| 3 years ago | Reply##### Similar Lessons

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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