Pennies Lab Introduction to Systems of Equations Day 1 of 2

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Objective

SWBAT develop a system of equations to solve a hands on problem solving based activity.

Big Idea

Introduce systems of equations with a lab that keeps them guessing and engaged with a real world challenge.

Lesson Author

Christa Lemily

Bowling Green, KY

Grade Level

Eighth grade

Subjects

Math

Systems of Equations and Inequalities

Algebra

Linear and Nonlinear Equations

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.

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.

MP7

Look for and make use of structure.

Bellringer - Warm up

5 minutes

The activity today will take most of the class period to complete so I would keep the bellringer work short but important. I would ask students a simple question such as graph the equation y = 2x - 6. Move about the room assessing students and select one student to present under the document camera. After the presentation, ask students how many solutions the equation y = 2x - 6 has and discuss fully why infinite solutions is a logical answer. Let students know that the new unit is also centered around linear equations in two variables but these equations sometimes have only one solution to fit the situation. The lab today is an introduction to the unit.