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Presentation transcript:

Splash Screen

Five-Minute Check (over Lesson 10–2) CCSS Then/Now Example 1: Add and Subtract Expressions with Like Radicands Example 2: Add and Subtract Expressions with Unlike Radicands Example 3: Multiply Radical Expressions Example 4: Real-World Example: Multiply Radical Expressions Concept Summary: Operations with Radical Expressions Lesson Menu

A. B. C. D. 5-Minute Check 1

A. 144 B. C. D. 36 5-Minute Check 2

A. B. C. D. 5-Minute Check 3

A. B. C. D. 5-Minute Check 4

The formula for the total surface area of a cube with side ℓ is 6ℓ2 The formula for the total surface area of a cube with side ℓ is 6ℓ2. The surface area of a cube is 648 square feet. What is the length of side ℓ? A. B. C. D. 5-Minute Check 5

A. B. C. D. 5-Minute Check 6

Mathematical Practices 2 Reason abstractly and quantitatively. Content Standards N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. Mathematical Practices 2 Reason abstractly and quantitatively. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. CCSS

You simplified radical expressions. Add and subtract radical expressions. Multiply radical expressions. Then/Now

Distributive Property Add and Subtract Expressions with Like Radicands A. Distributive Property Simplify. Answer: Example 1A

Distributive Property Add and Subtract Expressions with Like Radicands B. Commutative Property Distributive Property Simplify. Answer: Example 1B

A. A. 65 B. C. D. Example 1A

B. A. B. C. D. 3 Example 1B

Product Property Simplify. Multiply. Simplify. Answer: Add and Subtract Expressions with Unlike Radicands Product Property Simplify. Multiply. Simplify. Answer: Example 2

A. B. 305 C. D. Example 2

Associative Property Multiply. Simplify. Multiply. Answer: Multiply Radical Expressions Associative Property Multiply. Simplify. Multiply. Answer: Example 3A

Multiply. Simplify. Multiply. Answer: Distributive Property Multiply Radical Expressions Distributive Property Associative Property Multiply. Simplify. Multiply. Answer: Example 3B

A. B. C. D. Example 3A

A. B. C. D. Example 3B

Multiply Radical Expressions GEOMETRY Find the area of a rectangle in simplest form with a width of and a length of A = A = ℓ ● w First terms Outer terms Inner terms Last terms Multiply. Example 4

Prime factorization Simplify. Combine like terms. Answer: Multiply Radical Expressions Prime factorization Simplify. Combine like terms. Answer: Example 4

A. B. C. D. Example 4

Concept

End of the Lesson