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This lesson is optional because it revisits below grade-level content. If the pre-unit diagnostic assessment indicates that your students know this material, this lesson may be safely skipped.
In this lesson, students review square and cube roots in a geometric context. The positive square root of a positive number can be interpreted as the side length of a square with area , and the cube root of a positive number can be interpreted as the edge length of a cube with volume . Algebraically, is interpreted as a solution to the equation and as a solution to . Through repeated calculations, students see patterns in the relationships between numbers and their roots (MP8).
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