Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a variety of linear equations.

Concepts

solutions, one variable equations, linear equations, single variable equations, distributive property, algebraic equations, classifying

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Additional Tags

math

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Instructional Ideas

• Create a classification activity by providing several equations to cut out; instruct learners to classify them as either having one, none, or infinitely many solutions
• Provide several opportunities where the individuals determine the coefficients by transforming the expression mentally

Classroom Considerations

• The goal of the lesson is to have pupils recognize the number of solutions without solving to find out what those are
• Seventh segment of a unit of 33

Pros

• Answer key for the problem set gives descriptions of solutions for the open-ended questions
• Highlights where students use the mathematical practice in the lesson
• Includes multiple worksheets, an assessment, and both PDF and Word doc formats of the material

Cons

• None

Common Core

8.EE.C.7.a MP8