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 101 - 150 of 221 resources:

Thumbnail Image Title Description Curriculum Nodes
Interactive Quiz: The Discriminant, Quiz 07, Level 3

Interactive Quiz: The Discriminant, Quiz 07, Level 3

Interactive Quiz: The Discriminant, Quiz 07, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 08, Level 1

Interactive Quiz: The Discriminant, Quiz 08, Level 1

Interactive Quiz: The Discriminant, Quiz 08, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 08, Level 2

Interactive Quiz: The Discriminant, Quiz 08, Level 2

Interactive Quiz: The Discriminant, Quiz 08, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 08, Level 3

Interactive Quiz: The Discriminant, Quiz 08, Level 3

Interactive Quiz: The Discriminant, Quiz 08, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 09, Level 1

Interactive Quiz: The Discriminant, Quiz 09, Level 1

Interactive Quiz: The Discriminant, Quiz 09, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 09, Level 2

Interactive Quiz: The Discriminant, Quiz 09, Level 2

Interactive Quiz: The Discriminant, Quiz 09, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 09, Level 3

Interactive Quiz: The Discriminant, Quiz 09, Level 3

Interactive Quiz: The Discriminant, Quiz 09, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 10, Level 1

Interactive Quiz: The Discriminant, Quiz 10, Level 1

Interactive Quiz: The Discriminant, Quiz 10, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 10, Level 2

Interactive Quiz: The Discriminant, Quiz 10, Level 2

Interactive Quiz: The Discriminant, Quiz 10, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Interactive Quiz: The Discriminant, Quiz 10, Level 3

Interactive Quiz: The Discriminant, Quiz 10, Level 3

Interactive Quiz: The Discriminant, Quiz 10, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
MATH EXAMPLES--Teacher's Guide: Completing the Square

MATH EXAMPLES--Teacher's Guide: Completing the Square

MATH EXAMPLES--Teacher's Guide: Completing the Square

This Teacher's Guide provides an overview of the 4 worked-out examples that use the algorithm for completing the square.

Quadratic Formula and Quadratic Equations and Functions
MATH EXAMPLES--Teacher's Guide: Solving Quadratic Equations Graphically

MATH EXAMPLES--Teacher's Guide: Solving Quadratic Equations Graphically

MATH EXAMPLES--Teacher's Guide: Solving Quadratic Equations Graphically

This Teacher's Guide provides an overview of the 8 worked-out examples that show how to solve Quadratic Equations graphically.

Quadratic Equations and Functions
MATH EXAMPLES--Teacher's Guide: The Quadratic Formula

MATH EXAMPLES--Teacher's Guide: The Quadratic Formula

MATH EXAMPLES--Teacher's Guide: The Quadratic Formula

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to use the Quadratic Formula.

Quadratic Equations and Functions and Quadratic Formula
MATH EXAMPLES--The Discriminant

MATH EXAMPLES--The Discriminant

MATH EXAMPLES--The Discriminant

This set of tutorials provides 10 examples of finding the determinant of a quadratic equation to determine the number of real roots. NOTE: The download is a PPT file.

Quadratic Equations and Functions and Quadratic Formula
Math in the News: Issue 101--Comet Landing

Math in the News: Issue 101--Comet Landing

Math in the News: Issue 101--Comet Landing

November 2014. In this issue of Math in the News we examine the historic landing of a spacecraft on an asteroid in space.

Applications of Quadratic Functions
Math in the News: Issue 18--Farewell, Shuttle

Math in the News: Issue 18--Farewell, Shuttle

Math in the News: Issue 18--Farewell, Shuttle

7/18/11/ In this issue we bid farewell to the space shuttle program and explore the mathematics behind space travel.

Applications of Quadratic Functions
Math in the News: Issue 64--Felix Baumgartner's Jump

Math in the News: Issue 64--Felix Baumgartner's Jump

Math in the News: Issue 64--Felix Baumgartner's Jump

October 2012. In this issue of Math in the News, we look at Felix Baumgartner's dramatic supersonic dive.

Applications of Quadratic Functions
Math in the News: Issue 70--North Korean Missiles

Math in the News: Issue 70--North Korean Missiles

Math in the News: Issue 70--North Korean Missiles

May 2013. In this issue of Math in the News we look at the situation in North Korea with the potential of its aggressive missile launches.

Applications of Quadratic Functions
Math in the News: Issue 84--Comet ISON Approaches

Math in the News: Issue 84--Comet ISON Approaches

Math in the News: Issue 84--Comet ISON Approaches

November 2013. In this issue of Math in the News we look at the arrival of Comet ISON, scheduled for arrival in late November 2013.

Applications of Quadratic Functions
Math in the News: Issue 91--Sochi Math

Math in the News: Issue 91--Sochi Math

Math in the News: Issue 91--Sochi Math

February 2014. In this issue of Math in the News we look at applications of math from the Sochi Olympics.

Applications of Quadratic Functions
Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 01, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 02, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 03, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 04, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 05, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 06, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 07, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 08, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 09, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 1

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 1

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 2

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 2

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula
Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 3

Paper-and-Pencil Quiz: The Discriminant, Quiz 10, Level 3

This is part of a collection of math quizzes on the topic of the discriminant. Some quizzes are interactive and some are in PDF format.

Quadratic Formula