Perfect Squares and Factoring

Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the square.

If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a variety...

This is comprehensive lesson that considers many aspects of quadratic functions. It includes using factoring, completing the square and the use of the quadratic formula for finding the zeros of the function (including imaginary roots)....

Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes. 

A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 

Introduce young mathematicians to the concept of factoring trinomials with perfect squares. This descriptive video provides a meaningful explanation of the factoring process. Each step is carefully written out in various colors during...

"The neat thing about completing the square is that it will always work," Sal explains, "no matter how crazy the problem is." A basic overview of how to complete the square, this video provides a good background for both beginning and...

Completing the square is an effective way to solve a quadratic equation. Introduce your class to this technique and use this video to complement your lesson. This resource takes viewers through the process of completing the square,...