Unit Plan
Other

Algebra Class: Solving and Graphing a Quadratic Equation

For Students 9th - 10th
Math teacher provides a unit on quadratic equations in which she explains the concepts of solving and graphing quadratic equations through numerous examples and graphs. Hyperlinks are available to each step that ultimately leads to...
Interactive
Doina Popovici

Math Play: Square Roots Millionaire Game

For Students 7th - 9th
Show off your knowledge of radicals with this online game. Game requires students to add, subtract, multiply, divide, simplify, estimate, and graph expressions with radicals.
Unit Plan
Shmoop University

Shmoop: Basic Operations: Roots

For Students 9th - 10th Standards
The mathematics resource explores roots. Students examine the topic through class notes and examples. Practice problems with solutions are available to check for comprehension of the concept.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.c.7 and a rei.b.4.a: Completing the Square

For Teachers 9th - 10th
The goal of this task is to solve quadratic equations with complex roots by completing the square. Aligns with N-CN.C.7 and A-REI.B.4.aI.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Why the Principal Square Root Is Positive

For Students 6th - 8th
At this site from Ask Dr. Math at the Drexel University, Dr. Math responds to an inquiry about why the principal square root is positive.
Handout
Wolfram Research

Wolfram Math World: Principal Square Root

For Students 9th - 10th
MathWorld offers an explanation for the concept of principal square root is found here.
Handout
Other

Square Root, Square Root Function

For Students 9th - 10th
The square root function is defined and illustrated.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Square Roots and Irrational Numbers

For Students 9th - 10th Standards
Math Forum response to whether square roots of all non-perfect squares are irrational. Contains a proof showing that such cases are, indeed, irrational.
Whiteboard
ClassFlow

Class Flow: Exponents & Roots

For Teachers 6th - 8th
[Free Registration/Login Required] This flipchart provides an explanation of exponents and roots.
Activity
Texas Instruments

Texas Instruments: Knowing About Numbers

For Teachers 9th - 10th
Students experience square roots, perfect squares, and absolute value to enhance their knowledge of numbers. Taking this awareness, students apply it to operations with integers.
Activity
Texas Instruments

Texas Instruments: Transforming Functions

For Teachers 9th - 10th Standards
Explore transformations on an absolute value graph. Apply what you learn to Square root and x-squared equations.
Lesson Plan
Alabama Learning Exchange

Alex: What's My Number

For Teachers 6th - 8th
In this lesson, eighth grade young scholars will learn the steps necessary to approximate the square roots of numbers that are not perfect squares. Students will use a number line as a visual aid to complete this task.
Handout
University of Cambridge

University of Cambridge: Nrich: Irrational Proof

For Students 9th - 10th Standards
This site contains a proof that the square roots of all prime numbers are irrational.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Quadrupling Leads to Halving

For Teachers 9th - 10th Standards
This question provides students with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of a denominator, then dividing the result of that operation into the numerator. Aligns...
Interactive
Fun Brain

Fun Brain: Tic Tac Toe Squares (Math Facts Games)

For Students 5th - 8th Standards
Players practice adding, subtracting, multiplying, and dividing skills while playing virtual Tic Tac Toe. They can also try their hand at squares, cubes, and square roots.
Lesson Plan
PBS

Pbs Learning Media: Exponents and Radicals: Targeted Math Instruction

For Teachers 9th - 10th Standards
This lesson plan focuses on exponents and radicals as they apply to problems involving squares, perfect squares, and square roots.
Activity
Texas Instruments

Texas Instruments: Walking the Fence Line

For Teachers 6th - 8th
In this activity, students use the Geoboard to determine the perimeter of polygons. They learn to picture square roots visually as the side length of a square.
Activity
Oswego City School District

Regents Exam Prep Center: Simplifying Radicals

For Students 9th - 10th
Use this site to learn how to simplify radicals, even when the radical is not a perfect square. These examples will be a guide to you in simplifying all kinds of radicals.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Equations Using Factoring

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving trigonometric equations using factoring, square roots, and the quadratic formula.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Multiplication and Division of Radicals

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson student learn about dividing square roots. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Website
Cool Math

Coolmath: Solving Quadratics Recap

For Students 9th - 10th Standards
This CoolMath resource reviews the ways to solve quadratic equations: factoring, finding square roots, and using the quadratic formula.
Activity
Interactive Mathematics

Interactive Mathematics: Roots and Radicals

For Students 9th - 10th Standards
Here you'll find information on radicals: notation, symbols, and laws for simplifying. The information is brief, but easy to follow.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Radical Equations

For Teachers 9th - 10th Standards
The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one, because it is possible to have two unequal numbers whose squares are...
Whiteboard
ClassFlow

Class Flow: Solve by Completing the Square

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart explores the steps for solving quadratics by completing the square.

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