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Subject: Algebra 2 Grade Level: High School Unit Title: Radical Expressions (Unit 3) Big Idea/Theme: Radicals and complex numbers. Understandings: Simplifying radicals Solving radical equations Complex numbers Essential Questions: How can we have more than one number system? If a number is imaginary, does it really exist? Essential Skills/Vocabulary: Imaginary numbers Real numbers Index Radical Timeframe Needed for Completion: 2 weeks Grading Period: 1st Nine Weeks Curriculum Goals/Objectives NCN.1 Know there is a complex number I such that i 2 1 , and every complex number has the form a + bi with a and b real. NCN.2 Use the relation i2 = –1and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. NCN.8 Extend polynomial identities to the complex numbers. For example, rewrite x 2 4 as (x + 2i)(x – 2i). AREI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Assessment Tasks: Simplify radicals Apply properties of exponents Rational Exponents Operate with complex numbers Apply the properties of polynomials to complex numbers using Determine the conjugate of an expression Rationalize denominators Solve radical equations Materials Suggestions: Prentice Hall Algebra 2