Background Information Content/Course Algebra II Unit Unit #1: Polynomial, Rational and Radical Relationship Essential Questions/Enduring Essential Questions Understandings Addressed in the What characteristics of problems would determine how to model the situation and develop a Lesson problem solving strategy? What is the role of complex numbers in the equation solving process? Enduring Understandings Rules of arithmetic and algebra can be used together with notions of equivalence to transform equations and inequalities. For a given set of numbers there are relationships that are always true and these are the rules that govern arithmetic and algebra Similarities exist between base-ten computation and the arithmetic of polynomials Similarities exist between the arithmetic of rational numbers and the arithmetic of rational expressions. Standards Addressed in This Lesson N.CN.1 Know there is a complex number such that and every complex number has the i i2 = −1, form with and real. a + bi a b N.CN.2 Use the relation = and the commutative, associative, and distributive properties to add, i2 –1 subtract, and multiply complex numbers. Lesson Title Performing arithmetic operations with complex numbers Relevance/Connections How does this lesson connect to prior learning/future learning and/or other content areas? This lesson connects to prior learning of: Rules of arithmetic
Background Information Content/Course Algebra II Unit Unit #1: Polynomial, Rational and Radical Relationship Essential Questions/Enduring Understandings Addressed in the Lesson Essential Questions What characteristics of problems would determine how to model the situation and develop a problem solving strategy? What is the role of complex numbers in the equation solving process? Enduring Understandings Rules of arithmetic and algebra can be used together with notions of equivalence to transform equations and inequalities. For a given set of numbers there are relationships that are always true and these are the rules that govern arithmetic and algebra Similarities exist between base-ten computation and the arithmetic of polynomials Similarities exist between the arithmetic of rational numbers and the arithmetic of rational expressions. Standards Addressed in This Lesson N.CN.1 Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with a and b real. N.CN.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Lesson Title Performing arithmetic operations with complex numbers Relevance/Connections How does this lesson connect to prior learning/future learning and/or other content areas? This lesson connects to prior learning of: Rules of arithmetic