Real-life Systems 2

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Objective

SWBAT solve systems of equations modeling real-life situations (Day 2 of 5)

Big Idea

More application of systems to real-life! Give kids even more practice with finding and interpreting the break-even point.

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

Algebra

modeling

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.

MP4

Model with mathematics.

MP6

Attend to precision.

Warm-up

10 minutes

Each day, students complete a Warmup that usually consists of spiraling the previous day's material, in addition to older material. Today's task is a single multiple choice problem, but it challenges students to demonstrate understanding of systems of equations.

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

Play of the Day

40 minutes

Using Both Graphing and Substitution to Solve A Systems Problem

6 - 14 Student work sample GOLD.pdf

Huddle

10 minutes

Homework

15 minutes

The Homework is a resource that generally includes 5-7 problems that consist of 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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Algebra I » Systems of Linear Equations