Curriculum / Math / 9th Grade / Unit 5: Functions and Transformations / Lesson 1

Functions and Transformations

Lesson 1

Math

Unit 5

9th Grade

Lesson 1 of 16

Objective

Write equations and graph linear relationships with different domains.

Lesson Map

Topic A: Piecewise Functions

Lesson

Write equations and graph linear relationships with different domains.

Standards

A.CED.A.1A.CED.A.2A.CED.A.3F.IF.B.5F.IF.C.7

Lesson

Graph piecewise functions presented algebraically and write piecewise functions from graphs.

Standards

F.IF.A.2F.IF.B.4F.IF.C.7.B

Lesson

Evaluate a piecewise function written algebraically, with and without context.

Standards

A.SSE.A.1.AF.IF.A.1F.IF.A.2

Lesson

Write and graph piecewise functions from contextual situations.

Standards

A.CED.A.2A.CED.A.3F.IF.B.5

Lesson

Graph, evaluate, and write step functions, with and without context.

Standards

A.CED.A.3F.IF.A.1F.IF.C.7.B

Topic B: Absolute Value Functions

Lesson

Graph absolute value functions in the coordinate plane and identify domain and range.

Standards

F.BF.B.3F.IF.B.4F.IF.B.5F.IF.C.7.BF.IF.C.9

Lesson

Identify the solutions to an absolute value equation.

Standards

A.REI.A.1A.REI.D.11

Lesson

Solve absolute value equations algebraically and identify extraneous solutions.

Standards

A.REI.B.3

Lesson

Identify the solution(s) to an absolute value inequality.

Standards

A.REI.A.1A.REI.B.3A.REI.D.11F.IF.B.4F.IF.C.7.B

Lesson

Solve absolute value inequalities algebraically and verify graphically.

Standards

A.REI.B.3

Lesson

Identify solutions to a system of absolute value and linear functions graphically and algebraically.

Standards

A.REI.A.1A.REI.C.6A.REI.D.11

Topic C: Function Transformations

Lesson

Identify and describe vertical translations of functions.

Standards

F.BF.B.3F.IF.B.4F.IF.B.5

Lesson

Identify and describe horizontal translations of functions.

Standards

F.BF.B.3F.IF.B.5

Lesson

Identify and describe vertical scaling of functions, including reflections over the $$x$$-axis.

Standards

F.BF.B.3F.IF.B.5

Lesson

Identify and describe horizontal scaling of functions, including reflections over the $$y$$-axis.

Standards

F.BF.B.3F.IF.B.5

Lesson

Apply transformations to functions.

Standards

F.BF.B.3

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