Mixed Review of Systems of Equations

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Objective

SWBAT solve systems of equations problems fluidly and flexibly.

Big Idea

Consolidate and review! I love this lesson because it has so many different ways of asking about systems of linear equations.

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

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.

8.EE.C.8c

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

MP7

Look for and make use of structure.

Warm-up

10 minutes

Each day, students complete a Warmup that 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. Today's Warmup targets some of the learning goals from the current unit.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.