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Simplify Radical Expressions

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Simplify Radical Expressions

TEKS Math: A1.11.A

(A) Simplify numerical radical expressions involving square roots

A2.7.G

(G) Rewrite radical expressions that contain variables to equivalent forms

AU Math: ACMNA264

(Y10A) Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

CCSS Math: HSN.RN.1

HSN.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = (5^(1/3))^3 to hold, so (5^(1/3))^3 must equal 5.

HSN.RN.2

HSN.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

This number sense lesson focuses on simplifying radical expressions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the radical expression and identify the radicand. Then, they find the prime factors of the radical expression and rewrite it as the product of prime factors of the radicand. Finally, they simplify the radical expression and interpret the solution. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: A1.11.A

(A) Simplify numerical radical expressions involving square roots

A2.7.G

(G) Rewrite radical expressions that contain variables to equivalent forms

AU Math: ACMNA264

(Y10A) Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

CCSS Math: HSN.RN.1

HSN.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = (5^(1/3))^3 to hold, so (5^(1/3))^3 must equal 5.

HSN.RN.2

HSN.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.


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