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Construct functions to model linear relationships II
Lesson 15 of 20
Objective: SWBAT construct functions that model linear relationships, day 2.
Big Idea: What if the problem doesn't tell you the initial value? Can you still construct a function that models a linear relationship?
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Warm-up
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 quick review.
Many kids will substitute points in, which is a totally fine way to solve. But some kids will use their more enhanced logic about slope and reason that each of the other answer choices are wrong without needing to calculate - they have a negative slope! This reinforces their understanding and use of structure to solve problems.
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Homework
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.
For a video narrative on my HW philosophy, watch this video.
Sometimes, the HW file is a take-home assessment.
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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
