Algebra II Pacing Guide: Chapter 6

Algebra II Chapter 6: Rational Exponents and Radical Functions Brown Big Ideas: 1. Using rational exponents 2. Performing function operations and finding inverse functions 3. Graphing radical functions and solving radical equations Activating Strategy: Review graphing fractions and exponent forms Key vocabulary: Nth root of a, index of a radical, simplest form of a radical, like radicals, power function, composition, inverse relation, inverse function, radical equation, extraneous solution Lesson 1: M11.A.2.2.1Evaluate nth Roots and Evaluate Rational Exponents AP#1: What is the relationship between nth roots and rational exponents? Assignment: PG 417 #3-45 x 3

Lesson 2: M11.A.2.2.1 Apply Properties of Rational Exponents AP #2: How are the properties of rational exponents related to the properties of integer exponents? Assignment: PG 424 #3-63 x 3 ______Lesson 3: M11.D.1.1.3 AP#3: What operations can be performed on a pair of functions to obtain a third function? Assignment: PG 432 #3-27 multiples of 3

Lesson 4: Use Inverse Functions AP#4: How do you find the inverse relation of a given function? Assignment: PG 442 #2-20 Even

Lesson 6: Solve Radical Equations AP#6: Why is it necessary to check every apparent solution of a radical equation in the original equation? Assignment: PG 456 #4-32 multiples of 4

Extended Thinking Activity: Animation Problems - Classzone

Summarizing Strategy: Review main concepts pgs 466/ Review for exam: Practice Test

Big Ideas: 1. Using rational exponents 2. Performing function operations and finding inverse functions Algebra II Pacing Guide: Chapter 6 3. Graphing radical functions and solving radical equations

Activating Strategy: Review graphing fractions and exponent forms Key vocabulary: Nth root of a, index of a radical, simplest form of a radical, like radicals, power function, composition, inverse relation, inverse function, radical equation, extraneous solution Lesson 1: M11.A.2.2.1Evaluate nth Roots and Evaluate Rational Exponents AP#1: What is the relationship between nth roots and rational exponents?

Assignment:

Lesson 2: M11.A.2.2.1 Apply Properties of Rational Exponents AP #2: How are the properties of rational exponents related to the properties of integer exponents?

Assignment: ______Lesson 3: M11.D.1.1.3 AP#3: What operations can be performed on a pair of functions to obtain a third function?

Assignment:

Lesson 4: Use Inverse Functions AP#4: How do you find the inverse relation of a given function?

Assignment:

Lesson 6: Solve Radical Equations AP#6: Why is it necessary to check every apparent solution of a radical equation in the original equation?

Assignment: