CCSS

These are the resources that support this Common Core Standard.

CCSS.MATH.CONTENT.HSA.SSE.B.3

Title Description Thumbnail Image

Definition--Completing the Square

The definition of the term "Completing the Square."

Formulas--Sum of Consecutive Integers

The formula for the Sum of Consecutive Integers.

Formulas--Sum of Consecutive Odd Integers

The formula for the Sum of Consecutive Odd Integers.

INSTRUCTIONAL RESOURCE: Sequences and Series

In this Slide Show, learn how to write the explicit formula for an arithmetic sequence in function notation. Note: The download is a PPT file.

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.