Lesson plan

6. Solving equations of the form x^2 = p and x^3 = p with rational and irrational roots (FP)

teaches Common Core State Standards CCSS.Math.Content.8.EE.A.2 http://corestandards.org/Math/Content/8/EE/A/2
teaches Common Core State Standards CCSS.Math.Content.8.NS.A.2 http://corestandards.org/Math/Content/8/NS/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Lesson objective: Solve for rational and irrational square roots and cube roots.

This lesson helps to build procedural skill with finding square roots and cube roots. Visual models and tables are used here to build a conceptual understanding of roots, and provide a framework for estimating irrational roots. This work develops students' understanding that some square roots and cube roots are irrational numbers.

Students engage in Mathematical Practice 8 (look for and express regularity in repeated reasoning) as they use tables to systematically zoom in on an irrational square root or cube root.

Key vocabulary:

• cube root
• cubed
• irrational number
• rational number
• square root
• squared

Special materials needed:

• Photocopies of worksheets needed for the Extension Lesson (if used)
• Geoboards and rubberbands, or virtual geoboards, needed for the Extension Lesson (if used)
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• 6. Solving equations of the form x^2 = p and x^3 = p with rational and irrational roots (FP)