Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.

Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.

Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...

Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.

A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.

Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

Here is a site that clearly and thoroughly explains factoring trinomials, including those with leading coefficient other than 1. There are example problems solved, problems for the student to attempt, and answers to the student problems....

This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...

This S.O.S. tutorial gives students a basic review of factoring integers. Follow the tutorial to refresh your skills involving the rules for factoring numbers. Contains practice problems with links to the answers.

These randomly generated polynomials allow you practice factoring. Some of the polynomials contain leading coefficients that are negative. Hints are available when needed and, when ready, you can check your answer.

This site from the Drexel University explains the principles of factoring symbolically using algebra tiles.

This interactive site allows you to enter a quadratic expression and work through the steps of factoring. Hints and the answer are available to help with the process.

Here is a site that thoroughly explains many topics related to factoring out the greatest common factor from a sum or a polynomial expression. There are example problems, problems for the student to attempt, and answers to the student...

This algebra lesson explains how to factor by grouping.

Use this algebra lesson to learn how to factor the sum of two squares.

In this lesson, special cases of factoring are described, including perfect squares, difference of squares, and difference and sum of cubes. Exercises with answers included.

Find a quick, concise explanation of factoring. Several examples are given and clearly explained.

Solve perfect trinomial squares by factoring and explore the difference of perfect squares.

Excellent tutorial on GCF of polynomials, including examples and step-by-step instruction on factoring.