Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: The Difference of Two Squares

For Teachers 8th Standards
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.
Lesson Plan
Curated OER

Factoring Perfect-Square Trinomials and Differences of Squares

For Teachers 8th - 9th
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...
Lesson Plan
Curated OER

Factoring: A General Strategy

For Teachers 8th - 9th
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...
Lesson Plan
Ahisma Summer Institute

The Power of One - Math in a Different Angle

For Teachers 5th - 7th Standards
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...
Lesson Plan
Curated OER

The Difference of 2 Squares

For Teachers 8th - 12th
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...
Lesson Plan
Curated OER

Factoring Special Binomials and Trinomials

For Teachers 8th - Higher Ed
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...
Lesson Plan
EngageNY

The Power of Algebra—Finding Pythagorean Triples

For Students 10th - 12th Standards
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. 
Lesson Plan
Willow Tree

Order of Operations

For Students 7th - 10th Standards
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...
Lesson Plan
Curated OER

Factoring Polynomials 2

For Teachers 8th - 9th
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...
Lesson Plan
EngageNY

Does Every Complex Number Have a Square Root?

For Teachers 11th - 12th Standards
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...
Lesson Plan
Curated OER

The New Texas Two-Step

For Teachers 6th
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.
Lesson Plan
Fraction Bars

Subtraction of Decimals

For Teachers 4th - 6th Standards
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...
Lesson Plan
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EngageNY

Mastering Factoring

For Students 10th - 12th Standards
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...
Lesson Plan
Curated OER

Area, Arithmetic and Algebra

For Teachers 8th - 9th Standards
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.
Lesson Plan
EngageNY

A Focus on Square Roots

For Students 10th - 12th Standards
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 
Lesson Plan
Bob Prior

The Order of Operations

For Teachers 6th - 8th Standards
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...
Lesson Plan
Virginia Department of Education

Integers: Addition and Subtraction

For Teachers 5th - 8th Standards
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...
Lesson Plan
Curated OER

Steps to Factor a Polynomial

For Teachers 9th - 12th
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. 
Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
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...
Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
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.
Lesson Plan
EngageNY

Getting a Handle on New Transformations 1

For Teachers 11th - 12th Standards
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...
Lesson Plan
Virginia Department of Education

Properties of Quadrilaterals

For Teachers 9th - 11th Standards
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...
Lesson Plan
Curated OER

Squares to Compare

For Teachers 3rd - 4th
Students investigate how to draw and classify two and three dimensional figures (squares, triangles, rectangles.)
Lesson Plan
Perkins School for the Blind

Which One is the Square?

For Teachers 1st - 6th
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...