Lesson 1 | Quadratics | 11th Grade Mathematics

Objective

Identify features of quadratic functions from equations and use these features to graph quadratic functions. Derive the equation of a parabola.

Lesson Map

Topic A: Features of Quadratic Functions

Lesson

Identify features of quadratic functions from equations and use these features to graph quadratic functions. Derive the equation of a parabola.

Standards

F.IF.C.7.AF.IF.C.8.AG.GPE.A.2

Lesson

Identify the y-intercept and vertex of a quadratic function written in standard form through inspection and finding the axis of symmetry. Graph quadratic equations on the graphing calculator.

Standards

F.IF.C.7.AF.IF.C.8.A

Lesson

Write a quadratic equation in intercept form by factoring. Describe the features of a quadratic function written in intercept form.

Standards

A.SSE.A.2A.SSE.B.3.AF.IF.C.8.A

Lesson

Transform a quadratic function in vertex form. Describe the domain, range, and intervals where the function is increasing and decreasing.

Standards

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

Lesson

Solve quadratic equations written in vertex form and describe graphical features from vertex form.

Standards

A.REI.A.1A.REI.B.4.B

Lesson

Complete the square to convert an equation written in standard form to an equation written in vertex form.

Standards

A.REI.B.4.BA.SSE.B.3.B

Topic B: Imaginary Solutions and Operating with Complex Numbers

Lesson

Identify solutions that are non-real from a graph and an equation using the discriminant. Define imaginary and complex numbers.

Standards

A.REI.B.4.BN.CN.A.1N.CN.C.7

Lesson

Add, subtract, and multiply complex numbers.

Standards

N.CN.A.1N.CN.A.2

Topic C: Applications, Systems, and Inverse with Quadratics

Lesson

Compare, analyze, and solve quadratic functions in projectile motion application problems.

Standards

F.BF.A.1F.BF.B.3F.IF.B.6F.IF.C.8.AF.IF.C.9

Lesson

Describe features of quadratic functions in the context of a word problem. Evaluate and use function notation to describe contextual situations.

Standards

F.BF.A.1F.IF.B.6F.IF.C.8.AF.IF.C.9

Lesson

Identify solutions to a system of a quadratic function and a linear function graphically and algebraically.

Standards

A.REI.A.1A.REI.C.7A.REI.D.11

Quadratics

Objective

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Quadratics

Objective

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