Curriculum / Math / 11th Grade / Unit 1: Linear Functions and Applications / Lesson 8

Linear Functions and Applications

Lesson 8

Math

Unit 1

11th Grade

Lesson 8 of 13

Objective

Solve a system of three equations in three variables.

Lesson Map

Topic A: Features of Linear Functions

Lesson

Identify features of linear functions from equations, verbal descriptions, tables, and graphs.

Standards

A.SSE.A.1.AF.IF.B.4F.IF.C.9

Lesson

Write linear functions that represent contextual situations.

Standards

F.IF.A.2F.IF.B.4F.IF.B.5

Lesson

Solve for a desired quantity in a linear function.

Standards

A.CED.A.1A.CED.A.4

Lesson

Find the inverse of a contextual situation graphically and describe the meaning of the function and its inverse.

Standards

F.BF.B.4.AF.BF.B.4.C

Lesson

Find the inverse of contextual and non-contextual situations algebraically.

Standards

F.BF.B.4.AF.BF.B.4.BF.BF.B.4.C

Topic B: Systems of Functions and Constraints

Lesson

Write a system of functions for contextual situations and solve algebraically. Describe the solutions in context of the problem.

Standards

A.CED.A.2A.REI.C.6F.IF.B.5

Lesson

Describe the number of solutions of a system of equations. Verify algebraically.

Standards

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

Lesson

Solve a system of three equations in three variables.

Standards

A.REI.C.6

Lesson

Identify the solution to a system of an absolute value equation and a linear function algebraically and graphically.

Standards

A.REI.D.11

Lesson

Graph and identify solutions to systems of linear inequalities.

Standards

A.CED.A.3A.REI.D.12F.IF.B.5

Lesson

Write systems of linear inequalities from a contextual situation.

Standards

A.CED.A.3A.REI.D.12

Topic C: Piecewise Functions

Lesson

Write and evaluate piecewise functions from graphs. Graph piecewise functions from algebraic representations.

Standards

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

Lesson

Write piecewise functions from contextual situations.

Standards

A.CED.A.2A.CED.A.3F.IF.B.4F.IF.C.7.B

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