Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
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...
Activity
Curated OER

Math Games for Skills and Concepts

For Teachers 2nd - 5th
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.
Lesson Plan
1
1
Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
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.
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
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...
Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
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...
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
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...
Activity
Math Medics

S.o.s. Math: Factoring Integers

For Students 9th - 10th
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.
Activity
Math Medics

S.o.s. Math: Factoring: Some Special Cases

For Students 9th - 10th
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.
Activity
Other

Interactive Algebra: Factoring With Negatives

For Students 9th - 10th
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.
Activity
Other

Interactive Algebra: Factoring Helper

For Students 9th - 10th
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.
Activity
Math Notes and Math Tests

Pre Calculus Notes: The Fundamental Theorem of Algebra (Fta) [Pdf]

For Students 9th - 10th Standards
Learners examine the fundamental theorem of algebra. The resource investigates the linear factorization theorem, Descartes's rule of signs, and rules for zeros.
Activity
Cool Math

Coolmath: Complex Numbers Factoring the Sum of Two Squares

For Students 5th - 9th
Use this algebra lesson to learn how to factor the sum of two squares.
Activity
Other

Interactive Algebra: Factoring, Lesson 2 1

For Students 9th - 10th
An interactive solver allows you to factor quadratic polynomials. The solver provides hints to help you factor before seeing the answer. Note: These quadratics have a leading coefficient of 1.
Activity
Other

Dan's Math: Basic Skills Topics

For Students 9th - 10th Standards
College professor Dan Bach offers a review of various basic topics in arithmetic, pre-algebra, and algebra. Order of operations, exponents, square roots, variables, and combining terms are just a few of the many topics covered.
Activity
Purple Math

Purplemath: Algebra Resources

For Students 9th - 10th
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
Activity
Wolfram Research

Wolfram Mathworld: Polynomial Factorization

For Students 9th - 10th Standards
This site discusses factoring of polynomials, giving a general definition, and many links to satisfy unfamiliar terminology. There are however very few examples.
Activity
Other

Cre: Ecuaciones Cuadraticas

For Students 9th - 10th
In Spanish. Clear step by step directions, explanations and example problems of quadratic equations. Explains factorization, the quadratic formula, and completing the square.
Activity
Cool Math

Coolmath: Factoring Complex Numbers Exercises

For Students 6th - 9th Standards
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Activity
Other

College of Early Learning: Algebra Review

For Students 9th - 10th Standards
This site uses pictures to discuss dimension and base. The algebraic naming of measurements is included as well as factoring polynomial numbers.
Activity
Paul Dawkins

Paul's Online Notes: Algebra Cheat Sheet [Pdf]

For Students 6th - 8th
An algebra "cheat sheet" to use as a reference when completing algebra homework. Lists basic facts, properties, operations, formulas, and functions, as well as common errors.
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
A detailed description of how to factor several types of polynomials is presented. Examples are provided to demonstrate the process.
Activity
Wyzant

Wyzant: Prime Factors Calculator

For Students 3rd - 8th Standards
Students input a number to be factored and the WyzAnt calculator does the rest. Limitations include the fact that numbers which are negative or which contain primes bigger than 541 cannot be handled.