Lesson Plan
Virginia Department of Education

Perfecting Squares

For Teachers 6th Standards
Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.
Lesson Plan
Curated OER

Factoring Perfect-Square Trinomials and Differences of Squares

For Teachers 8th - 9th
In this algebra worksheet, learners 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...
Worksheet
Curated OER

Number Sense and Numeration: Multiples, Factors and Square Roots

For Students 6th - 8th
A great resource for any math teacher covering multiples, factors or square roots; this worksheet walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually increase...
Worksheet
Curated OER

Square Root Worksheet

For Students 6th - 8th
In this square root worksheet, learners determine the square root of perfect squares. This one-page worksheet contains 20 problems.
Assessment
Concord Consortium

Squares and Cubes

For Students 9th - 10th Standards
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis...
Lesson Plan
Virginia Department of Education

Square Roots

For Teachers 7th
Square away any doubts about using a new resource. Pupils learn about squares and square roots in the mini-lesson. They complete a worksheet identifying roots of perfect squares up to 400.
Worksheet
Curated OER

Factoring the Difference of Two Perfect Squares

For Students 9th - 11th
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. 
Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A instructional activity gives an explanation of a square root and gives examples for simplifying...
Worksheet
Curated OER

Multiplying Special Case Polynomials

For Students 8th - 10th
In this algebra worksheet, 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.
Interactive
Curated OER

Factoring Trinomials - Perfect Squares

For Students 9th - 12th
For this online math worksheet, students factor trinomials which are actually perfect squares. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching...
Worksheet
Curated OER

Factoring Perfect Squares

For Students 9th - 10th
In this factoring worksheet, students factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.
Worksheet
Curated OER

Perfect Squares and Factoring

For Students 9th - 11th
In this perfect square activity, students factor perfect square trinomials and polynomials. They identify trinomials and polynomials that are perfect squares. This one-page activity contains 21 problems.
Worksheet
Curated OER

Perfect Squares and Factoring

For Students 9th - 11th
In this perfect squares and factoring learning exercise, students solve and complete 26 different problems that include a number of polynomials. First, they determine whether each trinomial is a perfect square trinomial and factor if...
Worksheet
Curated OER

Perfect Squares

For Students 5th - 10th
In this perfect square worksheet, students are asked if the numbers up to 3 digits are perfect squares and they answer yes or no. Students complete 8 problems.
Worksheet
Curated OER

What Number, Which Added to 100 and 164 Make Them Perfect Squares?

For Students 8th - 12th
In this perfect squares worksheet, students solve to find the numbers, which added to 100 and 164 make them perfect squares.  The solutions are provided.
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. 
Worksheet
Curated OER

Factoring The Difference of Two Perfect Squares

For Students 8th - 9th
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.
Worksheet
Curated OER

Number Sense and Numeration: Square Roots

For Students 8th
For this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same...
Worksheet
Curated OER

Next Perfect Square

For Students 9th - 12th
For this secondary mathematics worksheet, high schoolers determine the algebraic representation for the next perfect square after a given number, x.  The one page worksheet contains one problem with the solution. 
Worksheet
Curated OER

Simplifying Radicals

For Students 9th - 10th
In this radical worksheet, students write given radical expressions in a square root form. Explanations and examples are provided at the beginning of the document. This two-page worksheet contains 24 problems. Answers are located at the...
Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Worksheet
Curated OER

9.6 Factoring Special Polynomials

For Students 9th - 11th
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.
Worksheet
Novelinks

Zach’s Lie: Magic Squares

For Students 6th - 8th Standards
Individuals match vocabulary words within a magic square, a concept that ties in nicely with math class. The words are all located in Zach's Lie and were specifically selected to increase comprehension of the text. Fifth in a series...
Worksheet
Curated OER

Completing the Square

For Students 8th
In this completing the square worksheet, 8th graders solve 10 different problems that include completing a square. First, they complete the square in the first 8 problems and write their solutions. Then, students determine what values to...