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Worksheet
Curated OER

Factoring the Difference of Squares

For Students 8th - 10th
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.
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Lesson Plan
Curated OER

Difference of Squares

For Teachers 6th - 8th
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.
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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.
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Lesson Plan
Curated OER

Quadratic Equations with Negative Discriminate

For Teachers 9th - 11th
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
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Interactive
Curated OER

Factoring Binomials - Difference of Squares

For Students 9th - 11th
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.
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Worksheet
Curated OER

Difference of Squares

For Students 9th - 10th
In this binomial worksheet, students explore the difference of squares method to multiply binomials. This two-page worksheet contains ten problems.
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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. 
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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. 
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Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
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Lesson Plan
EngageNY

Writing Equations Using Symbols

For Teachers 8th Standards
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples provide...
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Worksheet
Curated OER

Giant Difference of Squares

For Students 11th
In this algebra worksheet, 11th graders calculate the sum of squares of all real numbers that satisfy an equation. An answer key is provided.
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Worksheet
Curated OER

Solving Quadratic Equations

For Students 9th
For this quadratic equations worksheet, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
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Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
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Interactive
CK-12 Foundation

Use Square Roots to Solve Quadratic Equations: Plus or Minus

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
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Assessment
Inside Mathematics

Squares and Circles

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

Perfect Squares and Factoring

For Teachers 9th - 12th
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.
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Worksheet
Curated OER

Write and Solve Equations

For Students 6th - 7th
Here is a problem solving instructional activity in which learners read six story problems. They write an equation and then solve the problem. Basic addition and subtraction will be used.
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Worksheet
Curated OER

Quadratics and Difference of Squares

For Students 9th - 11th
In this algebra worksheet, learners factor quadratic equations using the difference of squares and cubes. They factor other polynomials finding the roots. There are 37 questions with an answer key.
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Lesson Plan
Curated OER

The Case of the Missing Middle Term

For Teachers 9th - 12th
Students examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
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Lesson Plan
EngageNY

The Relationship of Addition and Subtraction

For Teachers 6th Standards
Add an outstanding resource to your repertoire. The first installment of a 36-part module looks at the relationship between addition and subtraction through an activity using tape diagrams. Pupils develop the identities w – x + x = w and...
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Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
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Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This lesson plan connects transformations to the vertex form of a quadratic equation. 
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Interactive
Curated OER

Factoring Trinomials

For Students 9th - 12th
In this online math worksheet, students factor a series of trinomials given specific equations. This excellent resource allows the students to check their answers and to get "hints" should they run into difficulties.