Lesson plan

Understand the relationship between radical expressions and expressions with rational exponents by investigating the area of a square

teaches Common Core State Standards CCSS.Math.Content.HSN-RN.A.1 http://corestandards.org/Math/Content/HSN/RN/A/1

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Big Ideas: An expression containing a rational exponent has an equivalent radical expression, and the properties of integer exponents extend to rational exponents. Students will explore the relationship between the area of a square and its side length, discovering that the area is equal to the square of the side length and the side length is equal to the square root of the area. Students will then extend the properties of integer exponents to discover that a fractional exponent of 1/2 has the same meaning as a square root. Vocabulary: radical, rational, exponent, square Special Materials: dot paper