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...
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.
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 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...
Curated OER
Factoring a Difference Between Two Squares Worksheet
In this algebra 1 learning exercise, students factor 20 problems involving the difference of two squares. They check their answers on-line.
Curated OER
Factoring the Difference of Two Perfect Squares
In this Algebra I/Algebra II worksheet, students factor the difference of two perfect squares. The one page worksheet contains five multiple choice questions. Answers are included.
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...
Ahisma Summer Institute
The Power of One - Math in a Different Angle
For this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential...
Curated OER
The Difference of 2 Squares
Learners factor a difference of two squares. In this factoring a difference of two squares lesson plan, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Learners illustrate the...
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.
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
Factoring Special Binomials and Trinomials
For this factoring special binomials and trinomials worksheet, young scholars 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...
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
Factoring The Difference of Two Perfect Squares
In this factoring worksheet, students factor the difference of two perfect squares. All ten given equations contain at least one squared variable and one constant.
Curated OER
Multiplying Special Case Polynomials
In this algebra instructional activity, 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.
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
Factoring the Difference of Squares
In 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.
Willow Tree
Order of Operations
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...
Curated OER
Factoring Polynomials 2
In this algebra worksheet, students 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...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
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!
K12 Reader
Point of View: Who Is Telling the Story?
See how famous books of literature have different perspectives with a short worksheet. After reviewing the difference between first and third person points of view, learners look over six passages from various novels and decide...
Exploratorium
Oil Spot Photometer
Are these two light sources the same? Groups use a white card and a little cooking oil to create a photometer that allows for the comparison of two lights. The Inverse Square Law provides a way to calculate the actual difference in...
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...