Solve systems of linear functions by graphing - TWO lines on the same graph?!?

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Objective

SWBAT solve systems of linear equations by graphing.

Big Idea

What does it mean when two lines intersect?

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

Graphing (Algebra)

Algebra

Systems of Equations and Inequalities

Standards

8.EE.C.8

Analyze and solve pairs of simultaneous linear equations.

8.EE.C.8a

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

8.EE.C.8b

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

MP2

Reason abstractly and quantitatively.

MP6

Attend to precision.

MP7

Look for and make use of structure.

Warm-up

10 minutes

Each day, students complete a warm-up that spirals older material in with content from the previous lesson. Warm-up problems sometimes extend content 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, to save time for a longer Play of the Day, we are reviewing HW as our warm-up.

Play of the Day

40 minutes

Making note of structure with systems of linear equations

6 - 1 student work sample SILVER.pdf

Huddle

10 minutes

Homework

15 minutes

HW60 Solve systems of linear functions by graphing includes problems related to this lesson, as well as spiraled review. I also give the kids the answers to the problems.

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

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