Lesson 1 | Quadratic Functions and Solutions | 9th Grade Mathematics

Objective

Compare quadratic, exponential, and linear functions represented as graphs, tables, and equations.

Lesson Map

Topic A: Features of Quadratic Functions

Lesson

Compare quadratic, exponential, and linear functions represented as graphs, tables, and equations.

Standards

F.IF.B.4F.LE.A.2

Lesson

Identify key features of a quadratic function represented graphically. Graph a quadratic function from a table of values.

Standards

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

Lesson

Calculate and compare the average rate of change for linear, exponential, and quadratic functions.

Standards

F.IF.B.4F.IF.B.6F.LE.A.3

Topic B: Factoring and Solutions of Quadratic Equations

Lesson

Factor quadratic expressions using the greatest common factor. Demonstrate equivalence between expressions by multiplying polynomials.

Standards

A.APR.A.1A.SSE.A.2A.SSE.B.3.A

Lesson

Identify solutions to quadratic equations using the zero product property (equations written in intercept form).

Standards

A.APR.B.3F.IF.C.8.A

Lesson

Factor quadratic equations and identify solutions (when leading coefficient is equal to 1).

Standards

A.SSE.A.1.AA.SSE.B.3.A

Lesson

Factor quadratic equations and identify solutions (when leading coefficient does not equal 1).

Standards

A.SSE.A.1.AA.SSE.B.3.A

Lesson

Factor special cases of quadratic equations—difference of two squares.

Standards

A.SSE.A.1.AA.SSE.A.2A.SSE.B.3.A

Lesson

Factor special cases of quadratic equations—perfect square trinomials.

Standards

A.SSE.A.2A.SSE.B.3.A

Lesson

Solve quadratic equations by factoring. Compare solutions in different representations (graph, equation, and table).

Standards

A.SSE.B.3.AF.IF.C.8.AF.IF.C.9

Lesson

Solve quadratic equations by taking square roots.

Standards

A.REI.B.4.B

Lesson

Graph quadratic functions using $${x-}$$intercepts and vertex.

Standards

A.APR.B.3F.IF.B.4F.IF.C.7.AF.IF.C.8.A

Topic C: Interpreting Solutions of Quadratic Functions in Context

Lesson

Interpret quadratic solutions in context.

Standards

A.CED.A.1F.IF.B.4F.IF.B.5F.IF.C.8.A

Quadratic Functions and Solutions

Objective

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Quadratic Functions and Solutions

Objective

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