Instructional Focus 8: Unit 8 CCSS Mathematical Content CCSS Mathematical Practice Content and Educator Notes UNIT 8 Directly addressed practices are underlined Grade 11 Number and Quantity Radical Expressions and Functions sense of problems and persevere .Make Range in solving them. Extend the properties of exponents to rational Target A: Extend the properties of exponents exponents to rational exponents. Construct viable arguments and critique the reasoning of others. Level 2 students should be able to look for and Explain how the definition of the meaning of rational . use structure to extend the properties of integer exponents follows from extending the properties of Use appropriate tools strategically. exponents to multiply and divide expressions integer exponents to those values, allowing for a Attend to precision. with rational exponents that have common notation for radicals in terms of rational exponents. For . denominators. example, we define 51/3 to be the cube root of 5 Look for and express regularity in because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 Level 3 students should be able to rewrite repeated reasoning. must equal 5 expressions with rational exponents of the form (m/n) to radical form, and vice versa, and look for Rewrite expressions involving radicals and rational and use structure to extend the properties of exponents using the properties of exponents integer exponents to all laws of exponents on radical expressions and expressions with rational exponents. Rational Exponents 11 Algebra The Real Number System N -RN Target E: Write expressions in equivalent forms to Extend the properties of exponents to rational solve problems. exponents. Threshold
Instructional Focus 8: Unit 8 CCSS Mathematical Content CCSS Mathematical Practice Content and Educator Notes UNIT 8 Radical Expressions and Functions Extend the properties of exponents to rational exponents 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 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5 Rewrite expressions involving radicals and rational exponents using the properties of exponents Directly addressed practices are underlined .Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. . Use appropriate tools strategically. Attend to precision. . Look for and express regularity in repeated reasoning. Grade 11 Number and Quantity Range Target A: Extend the properties of exponents to rational exponents. Level 2 students should be able to look for and use structure to extend the properties of integer exponents to multiply and divide expressions with rational exponents that have common denominators. Level 3 students should be able to rewrite expressions with rational exponents of the form (m/n) to radical form, and vice versa, and look for and use structure to extend the properties of integer exponents to all laws of exponents on radical expressions and expressions with rational exponents. Rational Exponents The Real Number System N -RN Extend the properties of exponents to rational exponents. 11 Algebra Target E: Write expressions in equivalent forms to solve problems. Threshold
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