CK-12 Foundation
Factor Polynomials Using Special Products: Difference of Two Squares
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
Curated OER
Factoring a Difference Between Two Squares Worksheet
In this algebra 1 activity, students factor 20 problems involving the difference of two squares. They check their answers on-line.
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...
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
The Difference of Two Squares
Students practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Factoring the Difference of Two Perfect Squares
In this Algebra I/Algebra II activity, students factor the difference of two perfect squares. The one page activity contains five multiple choice questions. Answers are included.
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
Curated OER
Factoring: A General Strategy
In this algebra worksheet, students factor 10 polynomial expressions. Problems involve several approaches to factoring, including factoring out common elements by grouping, factoring the difference of two squares, and factoring the sum...
Curated OER
The Difference of 2 Squares
Students factor a difference of two squares. In this factoring a difference of two squares lesson, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Students illustrate the concept by...
Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Curated OER
Square Corners
Which ones are square corners? As they learn more about shape attributes, be sure scholars understand the difference between a vertex and a square corner. After examining two examples, learners circle the 90-degree corners in 12...
Curated OER
9.6 Factoring Special Polynomials
In this factoring special polynomials, students find the product of given polynomials. They factor polynomials and determine the difference of two squares. This one-page worksheet contains 40 multi-step problems.
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
Factoring Special Binomials and Trinomials
In this factoring special binomials and trinomials worksheet, students multiply two sets of binomials. They answer 7 true/false questions. Students factor 57 polynomials. They divide two pairs of binomials. There are 60 problems in all.
Curated OER
Hopping by 2s, part 2
Explore skip counting by twos with young mathematicians as they complete these engaging activities. First, they color in squares to represent counting by twos in an even sequence and an odd sequence. Next, they connect dots (by twos) to...
Curated OER
Square Corners
What type of corners does this shape have? Young geometers examine 12 shapes, circling the square corners in each if they have any. There are two examples demonstrating this concept, but be sure scholars understand the difference between...
Curated OER
Factoring The Difference of Two Perfect Squares
In this factoring instructional activity, students factor the difference of two perfect squares. All ten given equations contain at least one squared variable and one constant.
Curated OER
The New Texas Two-Step
Sixth graders work with mathematical expressions by interpreting, analyzing and problem solving with them. In this two step algebraic problem solving lesson plan, 6th graders use algebra tiles to solve equations.
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!
Howard Hughes Medical Institute
Stickleback Evolution Virtual Lab
How quickly do animals evolve? Can comparing different samples of the same fossil answer timeline questions? Scholars use virtual labs to examine fossils and learn about stickleback evolution. They compare pelvic morphology in lakes...
Curated OER
Factoring Polynomials 2
In this algebra worksheet, learners factor thirty-six polynomial expressions. All of the expressions are second degree polynomials. Twelve problems are the sum or difference of two squares, and one problem has a common factor for both...
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...
Curriculum Corner
Number Family Cards
Sixteen number families test young mathematicians' knowledge of the commutative and associative property of addition. Pupils list four problems—two addition and two subtraction—related to a given set of three numbers.
Curriculum Corner
Number Family Practice Page
Using their knowledge of the associative and commutative properties of addition, class members work with fact families to create two addition and two subtraction problems with three given numbers.