Curated OER
Factoring Difference of Squares
In this factoring difference of squares learning exercise, students solve 18 different problems related to factoring the difference of squares for each. First, they write their parentheses out and find the common factors of the squared...
Curated OER
Factoring the Difference of Squares
For this algebra worksheet, students factor special equations using difference of squares. They follow the formula to factor. There are 9 questions with an answer key.
Curated OER
Difference of Squares
Middle schoolers analyze arithmetic statements. In this difference of squares lesson, students explore patterns and factor the difference of two squares. They compare quantities with integers. Middle schoolers model and solve equations.
Curated OER
Multiplying Special Case Polynomials
In this algebra worksheet, learners practice finding the product of two binomials. In each case either the answer represents a difference of squares or a perfect square trinomial. There are 26 problems with an answer key.
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Curated OER
Factoring Binomials - Difference of Squares
In this factoring binomials worksheet, students examine problems containing the difference of squares. They factor binomial equations. This one-page worksheet contains 15 problems. Answers are provided.
Curated OER
Difference of Squares
In this binomial worksheet, students explore the difference of squares method to multiply binomials. This two-page worksheet contains ten problems.
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
Curated OER
Area, Arithmetic and Algebra
Explore the concept of this perfect square trinomial and difference of squares lesson. A hands-on activity that uses paper rectangles and squares to illustrate the perfect-square trinomial and difference of squares formulas.
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
Curated OER
Worksheet #9 - Factoring Polynomials
Factoring practice using the GCF, difference of squares, and factoring by grouping is included in this worksheet. Questions are either short answer or multiple choice.
Curated OER
Giant Difference of Squares
In this algebra worksheet, 11th graders calculate the sum of squares of all real numbers that satisfy an equation. An answer key is provided.
Curated OER
Factoring Perfect-Square Trinomials and Differences of Squares
In this algebra worksheet, students factor expressions into the product of two binomials. Four of the problems involve factoring perfect square trinomials. The remaining eight problems require students to factor problems that are the...
Coloring Squared
Thanksgiving Pilgrim—Holiday Subtraction
What's the mystery picture? Pupils solve the subtraction problems in each square. Then they use the key at the bottom to determine the color of the square.
Coloring Squared
Thanksgiving Turkey—Holiday Subtraction
It's time to practice 2-digit subtraction up to 20 the fun way. Learners solve a grid full of subtraction problems and then color each square the appropriate color according to the key. The final picture: a turkey!
EngageNY
The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Coloring Squared
Four‐Leaf Clover: Practice Subtraction
Scholars demonstrate their proficiency in subtracting one-digit numbers and color squares a specific color depending on whether their resulting values are one, two, or three. A completed practice page shows a festive four-leaf clover!
Curated OER
Seventy-Two Factoring Difference of Squares Problems
In this factoring learning exercise, students factor seventy-two difference of squares expressions. These problems steadily increase in difficulty.
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
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
Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.