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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 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 General Strategy
In this algebra worksheet, young scholars 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...
Ahisma Summer Institute
The Power of One - Math in a Different Angle
In this 2-day instructional activity 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...
Curated OER
The Difference of 2 Squares
Learners factor a difference of two squares. In this factoring a difference of two squares instructional activity, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Learners...
Curated OER
Factoring Special Binomials and Trinomials
In 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 in...
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.
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
For 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...
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
The New Texas Two-Step
Sixth graders work with mathematical expressions by interpreting, analyzing and problem solving with them. For this two step algebraic problem solving lesson, 6th graders use algebra tiles to solve equations.
Fraction Bars
Subtraction of Decimals
Here is a fabulous lesson on subtracting decimals with different numbers of decimal places. There are teacher-led activities for learners to engage in, including, modeling decimal subtraction through decimal squares, looking at place...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
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.
Bob Prior
The Order of Operations
Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...
Virginia Department of Education
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
Curated OER
Steps to Factor a Polynomial
Students explore the concept of factoring polynomials. In this factoring polynomials worksheet, students factor using a GCF, by grouping, a difference of two squares, two cubes, etc.
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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.
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Virginia Department of Education
Properties of Quadrilaterals
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
Curated OER
Squares to Compare
Students investigate how to draw and classify two and three dimensional figures (squares, triangles, rectangles.)
Perkins School for the Blind
Which One is the Square?
Children who are blind need to constantly be engaged in building conceptual understandings of the world around them. This activity will help them grasp the concept of shape, identify shapes, and consider shapes as they are used to...