Lesson 1 | Linear Equations, Inequalities and Systems | 9th Grade Mathematics

Objective

Identify the solutions and features of a linear equation and when two linear equations have the same solutions.

Lesson Map

Topic A: Properties and Solutions of Two-Variable Linear Equations and Inverse Functions

Lesson

Identify the solutions and features of a linear equation and when two linear equations have the same solutions.

Standards

A.REI.D.10A.SSE.B.3

Lesson

Write linear equations given features, points, or graph in standard form, point-slope form, and slope-intercept form.

Standards

A.SSE.B.3F.IF.B.4F.IF.C.7.A

Lesson

Determine if a function is linear based on the rate of change of points in the function presented graphically and in a table of values.

Standards

F.IF.B.6F.IF.C.7.AF.IF.C.9F.LE.A.1.A

Lesson

Identify inverse functions graphically and from a table of values in contextual and non-contextual situations.

Standards

F.BF.B.4.AF.IF.A.1F.IF.A.2F.IF.B.5

Lesson

Find inverse functions algebraically, and model inverse functions from contextual situations.

Standards

A.CED.A.4F.BF.B.4.AF.IF.B.6

Topic B: Properties and Solutions of Two-Variable Linear Inequalities

Lesson

Describe the solutions and features of a linear inequality. Graph linear inequalities.

Standards

A.REI.D.12

Lesson

Write linear inequalities from graphs.

Standards

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

Lesson

Write linear inequalities from contextual situations.

Standards

A.CED.A.3

Topic C: Systems of Equations and Inequalities

Lesson

Solve a system of linear equations graphically.

Standards

A.CED.A.3A.REI.D.11

Lesson

Identify solutions to systems of inequalities graphically. Write systems of inequalities from graphs and word problems.

Standards

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

Lesson

Solve linear systems of equations of two variables by substitution.

Standards

A.CED.A.3A.REI.C.5A.REI.C.6N.Q.A.2

Lesson

Identify solutions to systems of equations algebraically using elimination. Write systems of equations.

Standards

A.REI.C.5

Lesson

Identify solutions to systems of equations using any method. Write systems of equations.

Standards

A.REI.A.1A.REI.C.6A.SSE.B.3

Lesson

Identify solutions to systems of equations with three variables.

Standards

A.REI.C.6

Linear Equations, Inequalities and Systems

Objective

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Linear Equations, Inequalities and Systems

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