Title  Description  Thumbnail Image 

DefinitionCompleting the Square 
The definition of the term "Completing the Square." 

FormulasSum of Consecutive Integers 
The formula for the Sum of Consecutive Integers. 

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

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

MATH EXAMPLESTeacher's Guide: Completing the Square 
This Teacher's Guide provides an overview of the 4 workedout examples that use the algorithm for completing the square. Note: The download is a PDF. 

MATH EXAMPLESTeacher's Guide: Factoring Quadratics 
This Teacher's Guide provides an overview of the 11 workedout examples that show how to factor quadratic expressions. Note: The download is a PDF. 

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