# 6. Write equations that have no solution, one solution, or infinitely many solutions (A)

teaches Common Core State Standards CCSS.Math.Content.8.EE.C.7 http://corestandards.org/Math/Content/8/EE/C/7
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.7a http://corestandards.org/Math/Content/8/EE/C/7/a
teaches Common Core State Standards CCSS.Math.Content.8.EE.C.7b http://corestandards.org/Math/Content/8/EE/C/7/b
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Students understand that equations can be developed from given solutions.

This lesson provides an opportunity for students to apply their knowledge and understanding of linear equations in one variable to a mathematical situation. Students are asked to develop linear equations in one variable from a given solution.

Key Concept students will use:

• Properties of operations hold for expressions, as we can operate on and with expressions just as we do with numbers.

Skills students will use:

• Using properties of operations to generate equivalent expressions (7.EE.A.1 and 7.EE.A.2)

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they examine equations and their solutions. Students also engage in Mathematical Practice 6 (Attend to precision) as they develop equations that fit a given solution.

Key vocabulary:

• infinitely many solutions
• one solution
• no solution
• identical
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