Construct functions IV

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Objective

SWBAT construct functions that model linear relationships, day 4.

Big Idea

The trickiest day of constructing functions - kids have to see data in a problem as points on a line. Requires some very high-order thinking!

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

Algebra

Function Operations and Inverses

Standards

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. 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.

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP4

Model with mathematics.

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 here.

Today's warm-up #2 is a question that continues to push kids to interpret slope in different situations... it's worth ensuring that EVERY kid gets this correctly. This might mean spending much less time on #1.

Play of the Day

40 minutes

Huddle

10 minutes

Yet Another Way to Reinforce Understanding of Rate of Change and Initial Value

4 - 17 Reflection - pushing the understanding of rate of change and initial value.MOV

Homework

15 minutes

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.

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Algebra I Â» Graphing Linear Functions