Construct functions to model linear relationships II

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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?

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 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.

Play of the Day

40 minutes

Huddle

10 minutes

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.

For a video narrative on my HW philosophy, watch this video.

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

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Algebra I » Graphing Linear Functions