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FL

These are the resources that support this Florida Standard.

MAFS.912.A-REI.2.4: Solve quadratic equations in one variable.
a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.
b. Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

There are 337 resources.
Title Description Thumbnail Image Curriculum Topics

SAT Math Prep—Quadratic Functions and Equations

Quadratic Functions

Algebra Application: Fireworks Displays

In this Algebra Application, students develop a quadratic mathematical model based for the path of fireworks. Using this model, students investigate the properties of parabolas, including orientation, y-intercept, and vertex. The math topics covered include:

Algebra Application: Fireworks Displays Applications of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles. In this tutorial, review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model quadratic equations using algebra tiles. A Video Transcript is available for this tutorial.

Closed Captioned Video: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles Algebra Tiles--Expressions and Equations

Closed Captioned Video: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles. In this tutorial, students review how to model equations with algebra tiles. Then the video focuses on how to solve multi-step equations with algebra tiles. A Video Transcript is available for this tutorial.

Closed Captioned Video: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles Algebra Tiles--Expressions and Equations

Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots

Description

Video Tutorial: Quadratic Equations with Complex Roots. In this video students learn how to find the complex roots of certain quadratic equation. This includes cases with simple imaginary number roots and those with complex roots. A Video Transcript is available for this tutorial.

Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots Graphs of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions

Description

Video Tutorial: Quadratic Equations with No Real Solutions. In this video students learn how to detect if a quadratic has no solution. This involves graphical analysis as well as analysis of the discriminant. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions Graphs of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation

Description

Video Tutorial: Quadratics: Solving a Simple Quadratic Equation. In this video, students learn how to solve simple quadratics that can be solved without using the quadratic formula. These equations provide an opportunity to develop the basics of quadratic equations in the context of real-world problems.

Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation Graphs of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square

Description

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square. In this video, students solve quadratic equations by using the technique of completing the square. A Video Transcript is available for this tutorial. Note: The download is Media4Math's guide to closed captioned videos.

Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square Graphs of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically

Description

Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form Graphically. In this video, students learn how to use the graph of a quadratic function to determine if a solution to a quadratic equation exists. Several cases are investigated, including the no-solution case. A Video Transcript is available for this tutorial.

Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically Graphs of Quadratic Functions, Quadratic Equations and Functions

Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations

Description

Video Tutorial: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations. In this video students, learn how to calculate the discriminant and use it to analyze the quadratic function and determine the number of real roots it has. We cover all three cases: 2 roots, 1 root, no roots.

Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations Graphs of Quadratic Functions, Quadratic Equations and Functions, Quadratic Formula

Definition--Quadratics Concepts--Axis of Symmetry

Definition--Quadratics Concepts--Axis of Symmetry

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Axis of Symmetry Quadratic Equations and Functions

Definition--Quadratics Concepts--Completing the Square

<h1>Definition--Quadratics Concepts--Completing the Square</h1><p> This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

</p>

Definition--Quadratics Concepts--Completing the Square Quadratic Equations and Functions

Definition--Quadratics Concepts--Complex Roots

Definition--Quadratics Concepts--Complex Roots

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Complex Roots Quadratic Equations and Functions

Definition--Quadratics Concepts--Decreasing Quadratic Function

Definition--Quadratics Concepts--Decreasing Quadratic Function

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Decreasing Quadratic Function Quadratic Equations and Functions

Definition--Quadratics Concepts--Discriminant Visualization

Definition--Quadratics Concepts--Discriminant Visualization

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Discriminant Visualization Quadratic Equations and Functions

Definition--Quadratics Concepts--Increasing Quadratic Function

Definition--Quadratics Concepts--Increasing Quadratic Function

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Increasing Quadratic Function Quadratic Equations and Functions

Definition--Quadratics Concepts--Maximum

Definition--Quadratics Concepts--Maximum

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Maximum Quadratic Equations and Functions

Definition--Quadratics Concepts--Minimum

Definition--Quadratics Concepts--Minimum

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Minimum Quadratic Equations and Functions

Definition--Quadratics Concepts--Parabola

<h1>Definition--Quadratics Concepts--Parabola</h1><p> This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

</p>

Definition--Quadratics Concepts--Parabola Quadratic Equations and Functions

Definition--Quadratics Concepts--Quadratic Equation

Definition--Quadratics Concepts--Quadratic Equation

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Equation Quadratic Equations and Functions

Definition--Quadratics Concepts--Quadratic Formula

Definition--Quadratics Concepts--Quadratic Formula

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Formula Quadratic Formula

Definition--Quadratics Concepts--Quadratic Function in Factored Form

Definition--Quadratics Concepts--Quadratic Function in Factored Form

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Function in Factored Form Quadratic Equations and Functions

Definition--Quadratics Concepts--Quadratic Function in Standard Form

Definition--Quadratics Concepts--Quadratic Function in Standard Form

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Function in Standard Form Quadratic Equations and Functions

Definition--Quadratics Concepts--Quadratic Function in Vertex Form

Definition--Quadratics Concepts--Quadratic Function in Vertex Form

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Function in Vertex Form Quadratic Equations and Functions

Definition--Quadratics Concepts--Quadratic Function Table

Definition--Quadratics Concepts--Quadratic Function Table

This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts.

Definition--Quadratics Concepts--Quadratic Function Table Quadratic Equations and Functions

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