Lesson 15 | Rational and Radical Functions | 11th Grade Mathematics

Objective

Solve radical equations and identify extraneous solutions.

Lesson Map

Topic A: Introduction to Rational and Radical Functions and Expressions

Lesson

Define rational functions. Identify domain restrictions of rational functions.

Standards

A.APR.D.6F.IF.B.5

Lesson

Identify domain restrictions algebraically for non-invertible functions.

Standards

F.BF.B.4F.IF.C.7.B

Lesson

Graph and transform square root and cubic root functions.

Standards

F.BF.B.3F.IF.C.7.B

Lesson

Write rational functions in equivalent radical form and identify domain restrictions of rational and radical functions.

Standards

F.IF.B.5N.RN.A.2

Lesson

Write radical and rational exponent expressions in equivalent forms.

Standards

N.RN.A.2

Lesson

Multiply and divide rational expressions and simplify using equivalent expressions.

Standards

A.APR.D.6A.APR.D.7

Lesson

Add and subtract rational expressions.

Standards

A.APR.D.6A.APR.D.7

Topic B: Features of Rational Functions and Graphing Rational Functions

Lesson

Identify asymptotic discontinuities (also known as infinite discontinuities) and removable discontinuities in a rational function and describe why these discontinuities exist.

Standards

A.APR.D.6F.IF.C.7.D

Lesson

Identify features of rational functions with equal degrees in the numerator and the denominator. Describe how to calculate features of these types of rational functions algebraically.

Standards

A.APR.D.6F.IF.C.7.D

Lesson

Identify features of rational functions with a larger degree in the denominator than in the numerator. Describe how to calculate these features algebraically.

Standards

A.APR.D.6F.IF.C.7.D

Lesson

Identify features of rational functions with a larger degree in the numerator than in the denominator. Describe how to calculate these features algebraically.

Standards

A.APR.D.6F.IF.C.7.D

Lesson

Analyze the graph and equations of rational functions and identify features. Use features of a rational function to identify and construct appropriate equations and graphs.

Standards

A.APR.D.6F.IF.C.7.D

Lesson

Describe transformations of rational functions.

Standards

F.BF.B.3F.IF.C.7.D

Topic C: Solve Rational and Radical Equations and Model with Rational Functions

Lesson

Solve simple radical equations.

Standards

A.REI.A.2

Lesson

Solve radical equations and identify extraneous solutions.

Standards

A.REI.A.2

Lesson

Solve rational equations.

Standards

A.APR.D.6A.REI.A.2A.REI.D.11

Lesson

Write and solve rational functions for contextual situations.

Standards

A.APR.D.6A.CED.A.2N.Q.A.1

Lesson

Analyze rational and radical functions in context and write rational functions for percent applications.

Standards

A.APR.D.6A.CED.A.2A.REI.A.2

Rational and Radical Functions

Objective

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Rational and Radical Functions

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