SC Standards Alignments

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 206 resources:

Thumbnail Image Title Description Curriculum Nodes
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 1

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 2

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 3

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 4

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 5

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 6

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 7

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
Closed Captioned Video: Anatomy of an Equation: Quadratic Equations 8

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
Closed Captioned Video: Quadratics: Quadratic Equations with Complex Roots

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

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
Closed Captioned Video: Quadratics: Solving a Simple Quadratic Equation

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
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

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
Closed Captioned Video: Quadratics: Solving Quadratic Equations in Standard Form By Factoring

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

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
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

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
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

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
Closed Captioned Video: Quadratics: Solving Quadratic Equations with One Solution

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
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

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
Closed Captioned Video: Quadratics: What Is a Quadratic Equation?

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
Closed Captioned Video: Quadratics: What Is a Quadratic Function?

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
Closed Captioned Video: TI-Nspire Mini-Tutorial: Finding the Zeros of a Quadratic Function Using TRACE Feature

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
Closed Captioned Video: TI-Nspire Mini-Tutorial: Finding the Zeros of a Quartic Function Using Function Intersection

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
Definition--Quadratics Concepts--Axis of Symmetry

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
Definition--Quadratics Concepts--Completing the Square

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
Definition--Quadratics Concepts--Complex Roots

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
Definition--Quadratics Concepts--Decreasing Quadratic Function

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
Definition--Quadratics Concepts--Discriminant Visualization

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
Definition--Quadratics Concepts--Increasing Quadratic Function

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
Definition--Quadratics Concepts--Maximum

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
Definition--Quadratics Concepts--Minimum

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
Definition--Quadratics Concepts--Parabola

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
Definition--Quadratics Concepts--Quadratic Equation

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
Definition--Quadratics Concepts--Quadratic Formula

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

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

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

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
Definition--Quadratics Concepts--Quadratic Function Table

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
Definition--Quadratics Concepts--Quadratic Model

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
Definition--Quadratics Concepts--Quadratic Regression

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
Definition--Quadratics Concepts--Solving Quadratics Graphically

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
Definition--Quadratics Concepts--The Discriminant

Definition--Quadratics Concepts--The Discriminant

<h1>Definition--Quadratics Concepts--The Discriminant</h1><p>

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

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
Definition--Quadratics Concepts--x-intercept

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
Definition--Quadratics Concepts--y-intercept

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
Formulas--Discriminant

Formulas--Discriminant

Formulas--Discriminant

The formula for the Discriminant.

Quadratic Formula
Formulas--Quadratic Formula

Formulas--Quadratic Formula

Formulas--Quadratic Formula

The formula for the Quadratic Formula.

Quadratic Formula
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx + c = 0

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
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 + bx - c = 0

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
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx + c = 0

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
INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx - c

INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx - c

INSTRUCTIONAL RESOURCE: Anatomy of an Equation: -ax^2 - bx - c

In this PowerPoint presentation, analyze the steps in solving a quadratic equation with two roots.

Polynomial Functions and Equations