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Curated OER
Factoring by Grouping, Synthetic Substitution, and Sums and Differences of Cubes
In this factoring worksheet, students factor twelve expressions by grouping. Students factor fourteen sums and differences of cubes problems and eight synthetic substitution problems.
Curated OER
Solving Polynomial Equations
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...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
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...
Virginia Department of Education
Factoring
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...
EngageNY
Dividing by (x – a) and (x + a)
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.
5280 Math
Multiplication Table Algebra
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.
Curated OER
Steps to Factor a Polynomial
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.
Curated OER
Fourths of Sets
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...
Curated OER
Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
Curated OER
Prime and Composite Numbers
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.
CK-12 Foundation
Ck 12: Algebra Ii: 1.9 Sum and Difference of Cubes
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.
Interactive Mathematics
Interactive Mathematics: The Sum and Difference of Cubes
The method to factor sums and differences of perfect cubes is presented along with an example and several exercises to use for practice.
Help Algebra
Help algebra.com: Factoring Polynomials
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.
Cool Math
Coolmath: Difference of Two Squares, Sum and Difference of Two Cubes
This algebra lesson explains how to factor the difference of two squares and the sum and difference of two cubes.