Princeton Review

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 ๐‘ฅ into an equation of the form (๐‘ฅ โˆ’ โ„Ž)^2 = ๐‘˜ 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 ๐‘Ž + ๐‘๐‘– for real numbers ๐‘Ž and ๐‘. (Limit to non- complex roots.)

Displaying 201 - 221 of 221 resources:

Thumbnail Image Title Description Curriculum Nodes
Video Transcript: Quadratics: What Is a Quadratic Equation?

Video Transcript: Quadratics: What Is a Quadratic Equation?

Video Transcript: Quadratics: What Is a Quadratic Equation?

This is the transcript that goes with the video segment entitled Video Tutorial: Quadratics: What is a Quadratic Equation?

Graphs of Quadratic Functions and Quadratic Equations and Functions
Video Transcript: Quadratics: What Is a Quadratic Function?

Video Transcript: Quadratics: What Is a Quadratic Function?

Video Transcript: Quadratics: What Is a Quadratic Function?

This is the transcript that goes with the video segment entitled VideoTutorial: Quadratics: What is a Quadratic Function?

Graphs of Quadratic Functions and Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 1

Video Tutorial: Anatomy of an Equation: Quadratic Equations 1

Video Tutorial: Anatomy of an Equation: Quadratic Equations 1

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 2

Video Tutorial: Anatomy of an Equation: Quadratic Equations 2

Video Tutorial: Anatomy of an Equation: Quadratic Equations 2

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 3

Video Tutorial: Anatomy of an Equation: Quadratic Equations 3

Video Tutorial: Anatomy of an Equation: Quadratic Equations 3

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 4

Video Tutorial: Anatomy of an Equation: Quadratic Equations 4

Video Tutorial: Anatomy of an Equation: Quadratic Equations 4

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 5

Video Tutorial: Anatomy of an Equation: Quadratic Equations 5

Video Tutorial: Anatomy of an Equation: Quadratic Equations 5

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 6

Video Tutorial: Anatomy of an Equation: Quadratic Equations 6

Video Tutorial: Anatomy of an Equation: Quadratic Equations 6

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 7

Video Tutorial: Anatomy of an Equation: Quadratic Equations 7

Video Tutorial: Anatomy of an Equation: Quadratic Equations 7

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 8

Video Tutorial: Anatomy of an Equation: Quadratic Equations 8

Video Tutorial: Anatomy of an Equation: Quadratic Equations 8

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1

Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2

Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3

Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4

Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Quadratic Equations and Functions
Video Tutorial: Using the Quadratic Formula: Example 1

Video Tutorial: Using the Quadratic Formula: Example 1

Video Tutorial: Using the Quadratic Formula: Example 1

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 2

Video Tutorial: Using the Quadratic Formula: Example 2

Video Tutorial: Using the Quadratic Formula: Example 2

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 3

Video Tutorial: Using the Quadratic Formula: Example 3

Video Tutorial: Using the Quadratic Formula: Example 3

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 4

Video Tutorial: Using the Quadratic Formula: Example 4

Video Tutorial: Using the Quadratic Formula: Example 4

This video provides a step-by-step tutorial on using the quadratic formula. In this example there is only one real root.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 5

Video Tutorial: Using the Quadratic Formula: Example 5

Video Tutorial: Using the Quadratic Formula: Example 5

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two complex roots.

Quadratic Formula
Worksheet: TI-Nspire Mini-Tutorial: Creating a Template to Find the Roots of a Quadratic Equation

Worksheet: TI-Nspire Mini-Tutorial: Creating a Template to Find the Roots of a Quadratic Equation

Worksheet: TI-Nspire Mini-Tutorial: Creating a Template to Find the Roots of a Quadratic Equation

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator.

Quadratic Equations and Functions
Worksheet: TI-Nspire Mini-Tutorial: Finding the zeros of a quadratic function using TRACE feature

Worksheet: TI-Nspire Mini-Tutorial: Finding the zeros of a quadratic function using TRACE feature

Worksheet: TI-Nspire Mini-Tutorial: Finding the zeros of a quadratic function using TRACE feature

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator.

Quadratic Equations and Functions