Worksheets | Michigan Table of Contents


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.