Worksheet
Curated OER

Factoring by Grouping, Synthetic Substitution, and Sums and Differences of Cubes

For Students 8th - 11th
In this factoring worksheet, students factor twelve expressions by grouping.  Students factor fourteen sums and differences of cubes problems and eight synthetic substitution problems.
Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Lesson Plan
Virginia Department of Education

Factoring

For Students 9th - 12th Standards
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Activity
5280 Math

Multiplication Table Algebra

For Teachers 8th - 12th Standards
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.
Lesson Plan
Curated OER

Steps to Factor a Polynomial

For Teachers 9th - 12th
Young scholars explore the concept of factoring polynomials.  For this factoring polynomials worksheet, students factor using a GCF, by grouping, a difference of two squares, two cubes, etc. 
Lesson Plan
Curated OER

Fourths of Sets

For Teachers K - 1st
Students create a set of cards that represent factors of four and use these cards to play a game in which they practice separating numbers into fourths. They first practice separating numbers into fourths with a projected computer...
Lesson Plan
Curated OER

Mathematics: Prime and Composite Numbers

For Teachers 6th
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
Lesson Plan
Curated OER

Prime and Composite Numbers

For Teachers 5th
Fifth graders use prime factorization to identify prime and composite numbers. They use cubes to find factors. In groups, 5th graders draw rectangular arrays to discover prime numbers under 100.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.9 Sum and Difference of Cubes

For Students 9th - 10th
This section expands on the process of factoring to certain types of polynomials. In particular, it investigates how to find the sum and difference of cubed numbers and terms, and it will use volume of cubes to model this process.
Activity
Interactive Mathematics

Interactive Mathematics: The Sum and Difference of Cubes

For Students 9th - 10th
The method to factor sums and differences of perfect cubes is presented along with an example and several exercises to use for practice.
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
Cool Math

Coolmath: Difference of Two Squares, Sum and Difference of Two Cubes

For Students 6th - 9th
This algebra lesson explains how to factor the difference of two squares and the sum and difference of two cubes.