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CCGPS Geometry (12-5-13 )

CCGPS Geometry (12-5-13 ). UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: How do we simplify square roots with numbers and variables? Standard: MCC9-12.N.RN.1.

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CCGPS Geometry (12-5-13 )

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  1. CCGPS Geometry(12-5-13) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: How do we simplify square roots with numbers and variables? Standard: MCC9-12.N.RN.1

  2. Square Roots and Simplifying Radicals

  3. Prime Numbers 1 2 3 5 7 11 13…

  4. Radical Sign (square root sign) Radicand Numbers or variables under the radical sign

  5. Radicals are in SIMPLEST FORM when.. • 1. No perfect square factors other than 1 are under the radical. • No fractions are under the radical. • No radicals are in the denominator.

  6. Factor Trees to Prime Factorization 45

  7. Factor Trees to Prime Factorization 54

  8. Factor Trees to Prime Factorization 98

  9. EX:1 Simplify. When you have a pair, bring the number out.

  10. EX:2 Simplify When you have a pair, bring the number out.

  11. EX:3

  12. EX:4 Simplify.

  13. You try!1. 2. 3. 4.

  14. Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out

  15. Worksheet#1 – 23

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