## 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

### 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

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

Video Tutorial: Quadratic Equations with Complex Roots.

Video Tutorial: Quadratic Equations with No Real Solutions.

### 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.

### 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 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

### 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.

### 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.

### 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

Axis of Symmetry

Completing the Square

Complex Roots

Discriminant Visualization

Maximum

Minimum

Parabola

The Discriminant

Vertex

x-intercept

y-intercept

### Formulas--Discriminant

Formulas--Discriminant

The formula for the Discriminant.

The formula for the Quadratic Formula.

### 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

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

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

Polynomial Functions and Equations