## Correlation to Michigan Algebra 1 Standards

Section 18 Power Functions With Radicals And Rational Exponents

**Lessons: Introduction to Radicals and Radical Functions Including Rational Exponents, Adding and Subtracting Radicals, Multiplying
and Dividing Radicals, Adding and Subtracting with Rational Exponents, Multiplying and Dividing with Rational Exponents**

Major Emphasis:

L2.1.2 Calculate fluently with numerical expressions involving exponents. Use the rules of exponents, and evaluate numerical expressions
involving rational and negative exponents, and transition easily between roots and exponents.

**Also Addressed:**

A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.

**Lessons: Properties of Radicals, Simplifying Radical Expressions, Rationalizing Radical Denominators, Properties of Rational
Exponents, Simplifying Rational Exponents**

Major Emphasis:

A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.

**Also Addressed:**

L2.1.2 Calculate fluently with numerical expressions involving exponents. Use the rules of exponents, and evaluate numerical expressions
involving rational and negative exponents, and transition easily between roots and exponents.

**Lessons: Solving Radical Equations and Equations with Rational Exponents and Radical Functions with Extraneous Solutions**

Major Emphasis:

A1.2.6 Solve power equations and equations including radical expressions, justify steps in the solution, and explain how extraneous
solutions may arise.

**Also Addressed:**

A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.

**L2.1.2** Calculate fluently with numerical expressions involving exponents. Use the rules of exponents, and evaluate numerical
expressions involving rational and negative exponents, and transition easily between roots and exponents.

**A1.2.2** Associate a given equation with a function whose zeros are the solutions of the equation.

**Lessons: Translations to Graphs of Square Root Functions – Domain and Range and Translations to Graphs of Cube Root Functions**

Major Emphasis:

A2.1.7 Identify and interpret the key features of a function from its graph or its formula(s).

**A2.2.2** Apply given transformations to parent functions and represent symbolically.

**A3.4.1** Write the symbolic form and sketch the graph of power functions.

**Also Addressed:**

A1.2.2 Associate a given equation with a function whose zeros are the solutions of the equation.