These are the resources that support this South Carolina Standard.
a1.arei.4 - Solve mathematical and real-world problems involving quadratic equations in one variable. (Note: A1.AREI.4a and 4b are not Graduation Standards.) a. Use the method of completing the square to transform any quadratic equation in 𝑥 into an equation of the form (𝑥 − ℎ)^2 = 𝑘 that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection, 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. (Limit to non- complex roots.)
Displaying 1 - 50 of 216 resources:
| Thumbnail Image | Title | Description | Curriculum Nodes |
|---|---|---|---|
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Closed Captioned Video: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles |
Closed Captioned Video: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles
Video Tutorial: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles. |
Algebra Tiles--Expressions and Equations |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8 |
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8
In this video, analyze the steps in solving a quadratic equation with two roots. |
Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots |
Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots
Video Tutorial: Quadratic Equations with Complex Roots. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions |
Closed Captioned Video: Quadratics: Quadratic Equations with No Real Solutions
Video Tutorial: Quadratic Equations with No Real Solutions. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation |
Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation
Video Tutorial: Quadratics: Solving a Simple Quadratic Equation. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square |
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square
Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring |
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring
Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form By Factoring. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically |
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Graphically
Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form Graphically. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using Algebra Tiles |
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using Algebra Tiles
Description
This is part of a collection of video tutorials the topic of Algebra Tiles.This serie |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula |
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formula
Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form Using the Quadratic Formul |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution |
Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution
Video Tutorial: Quadratics: Solving Quadratic Equations with One Solution. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations |
Closed Captioned Video: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations
Video Tutorial: Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations. |
Graphs of Quadratic Functions, Quadratic Equations and Functions and Quadratic Formula |
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Closed Captioned Video: Quadratics: What Is a Quadratic Equation? |
Closed Captioned Video: Quadratics: What Is a Quadratic Equation?
Video Tutorial: Quadratics: What Is a Quadratic Equation? |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Quadratics: What Is a Quadratic Function? |
Closed Captioned Video: Quadratics: What Is a Quadratic Function?
Video Tutorial: Quadratics: What Is a Quadratic Function? |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Solving a Quadratic |
Closed Captioned Video: Solving a Quadratic
In this TI Nspire tutorial for the TI-Nspire CAS, a quadratic equation is solved algebraically and graphically. |
Graphs of Quadratic Functions and Quadratic Equations and Functions |
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Closed Captioned Video: Zeros of a Quadratic Function |
Closed Captioned Video: Zeros of a Quadratic Function
In this TI Nspire tutorial, a Graph window is used to solve a quadratic equation using the Trace tool. |
Graphs of Quadratic Functions |
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Closed Captioned Video: Zeros of a Quartic Function |
Closed Captioned Video: Zeros of a Quartic Function
In this TI Nspire tutorial, a Graph window is used to solve a quartic equation using function intersection. |
Polynomial Functions and Equations |
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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. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Completing the Square |
Definition | Quadratics Concepts | Completing the Square
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Maximum |
Definition--Quadratics Concepts--Maximum
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Minimum |
Definition--Quadratics Concepts--Minimum
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Parabola |
Definition--Quadratics Concepts--Parabola
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Formula |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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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. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Quadratic Model |
Definition--Quadratics Concepts--Quadratic Model
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Quadratic Regression |
Definition--Quadratics Concepts--Quadratic Regression
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Applications of Quadratic Functions |
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Definition--Quadratics Concepts--Solving Quadratics Graphically |
Definition--Quadratics Concepts--Solving Quadratics Graphically
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Graphs of Quadratic Functions |
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Definition--Quadratics Concepts--The Discriminant |
<h1>Definition--Quadratics Concepts--The Discriminant</h1><p> |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--Vertex |
Definition--Quadratics Concepts--Vertex
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--x-intercept |
Definition--Quadratics Concepts--x-intercept
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Definition--Quadratics Concepts--y-intercept |
Definition--Quadratics Concepts--y-intercept
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. |
Quadratic Equations and Functions |
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Formulas--Discriminant |
Formulas--Discriminant
The formula for the Discriminant. |
Quadratic Formula |
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Formulas--Quadratic Formula |
Formulas--Quadratic Formula
The formula for the Quadratic Formula. |
Quadratic Formula |
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INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx + c = 0 |
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx + c = 0
In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots. |
Polynomial Functions and Equations |
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INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx - c = 0 |
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx - c = 0
In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots. |
Polynomial Functions and Equations |
