CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSF.IF.C.8.A

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Definition--Completing the Square

The definition of the term "Completing the Square."

INSTRUCTIONAL RESOURCE: Solving Quadratic Equations by Completing the Square

In this Slide Show, learn how to solve a quadratic equation by completing the square. Note: The download is a PPT file.

MATH EXAMPLE: Completing the Square Example 01

Example 1: Solve a quadratic equation using the technique of completing the square, under the following conditions: Two solutions, one positive, one negative. Parabola opens downward.

MATH EXAMPLE: Completing the Square Example 02

Example 2: Solve a quadratic equation using the technique of completing the square, under the following conditions: Two solutions, one positive, one negative. Parabola opens upward.

MATH EXAMPLE: Completing the Square Example 03

Example 3: Solve a quadratic equation using the technique of completing the square, under the following conditions: Two solutions, both positive. Parabola opens downward.

MATH EXAMPLE: Completing the Square Example 04

Example 4: Solve a quadratic equation using the technique of completing the square, under the following conditions: Two solutions, both negative. Parabola opens upward.

MATH EXAMPLE: Factoring Quadratics: Example 01

Example 1: Quadratic expressions factor into the following product of factors:(x + a)(x + b)

MATH EXAMPLE: Factoring Quadratics: Example 02

Example 2: Quadratic expressions factor into the following product of factors:(x - a)(x + b)

MATH EXAMPLE: Factoring Quadratics: Example 03

Example 3: Quadratic expressions factor into the following product of factors:(x + a)(x - b)

MATH EXAMPLE: Factoring Quadratics: Example 04

Example 4: Quadratic expressions factor into the following product of factors:(x - a)(x - b)

MATH EXAMPLE: Factoring Quadratics: Example 05

Example 5: Quadratic expressions factor into the following product of factors:(ax + b)(x + c)

MATH EXAMPLE: Factoring Quadratics: Example 06

Example 6: Quadratic expressions factor into the following product of factors:(ax - b)(x + c)

MATH EXAMPLE: Factoring Quadratics: Example 07

Example 7: Quadratic expressions factor into the following product of factors:(ax + b)(x - c)

MATH EXAMPLE: Factoring Quadratics: Example 08

Example 8: Quadratic expressions factor into the following product of factors:(ax - b)(x - c)

MATH EXAMPLE: Factoring Quadratics: Example 09

Example 9: Quadratic expressions factor into the following product of factors:(x + a)2

MATH EXAMPLE: Factoring Quadratics: Example 10

Example 10: Quadratic expressions factor into the following product of factors:(x - a)2

MATH EXAMPLE: Factoring Quadratics: Example 11

Example 11: Quadratic expressions factor into the following product of factors:(x + a)(x – a)

MATH EXAMPLES--Completing the Square

The complete set of 4 examples that make up this set of tutorials. NOTE: The download is a PPT file.

MATH EXAMPLES--Factoring Quadratics

The complete set of 11 examples that make up this set of tutorials. NOTE: The download is a PPT file.

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. Note: The download is a PDF.

MATH EXAMPLES--Teacher's Guide: Factoring Quadratics

This Teacher's Guide provides an overview of the 11 worked-out examples that show how to factor quadratic expressions. Note: The download is a PDF.

Math Solvers Teachers Guide--Completing the Square

Teacher's guide for the Math Solver on Completing the Square.

Paper-and-Pencil Quiz: Factoring Quadratics (Easy)

This quiz covers the topic of factoring quadratics. This is the print version of an Interactive Quiz of the same name. The downloadable version of this quiz is a PDF.

Paper-and-Pencil Quiz: Factoring Quadratics (Hard)

This quiz covers the topic of factoring quadratics. This is the print version of an Interactive Quiz of the same name. The downloadable version of this quiz is a PDF.

Paper-and-Pencil Quiz: Factoring Quadratics (Medium)

This quiz covers the topic of factoring quadratics. This is the print version of an Interactive Quiz of the same name. The downloadable version of this quiz is a PDF.