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Handout
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Del Mar College

Exponential and Radical Rules

For Students 8th - 11th Standards
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems. 
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Instructional Video10:02
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2
Flipped Math

Special Right Triangles II

For Students 9th - 12th
Show students that right triangles are radical. Learners see how the lengths of the sides of a 45-45-90 triangle relate. Using that relationship, pupils observe how to find any of the lengths given one side of a triangle. They go on to...
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Instructional Video20:12
2
2
Flipped Math

Special Right Triangles I

For Students 9th - 12th
Introduce a special relationship with right triangles. Learners discover the ratio of the sides in a 30-60-90 triangle. After watching several examples and seeing two different methods, pupils find unknown sides in triangles. Scholars...
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Instructional Video12:58
2
2
Flipped Math

Pythagorean Theorem and Its Converse

For Students 9th - 12th Standards
Make sure it is all right in class. Pupils review the Pythagorean Theorem and find sides of right triangles, either by simplifying radicals or using calculators to find approximate lengths. Learners find out how to use the converse to...
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Instructional Video17:42
2
2
Flipped Math

Multiply and Divide Radicals

For Students 9th - 12th Standards
This is just radical, dude. Learners view a video to learn how to multiply and divide radical expressions as well as the rules for multiplying numbers within the radicand. They also see how to rationalize the denominator. Examples...
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Instructional Video18:58
2
2
Flipped Math

Add and Subtract Radicals

For Students 9th - 12th Standards
Radically apply old skills to a new concept. Pupils learn how to add and subtract radicals by applying previously learned skills of simplifying radicals and combining like terms. The video shows examples with both square and cube roots....
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target B

For Teachers 8th Standards
Develop a radical approach to covering the Smarter Balanced targets for 8th grade math with a presentation that helps further develop math skills. Seven sample items demonstrate the expectation for working with integer exponents,...
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Interactive
CK-12 Foundation

Simplification of Radical Expressions: Irrational Garden Plot

For Students 8th - 10th
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
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Lesson Plan
Virginia Department of Education

Simplifying Square Roots of Whole Numbers

For Teachers 7th - 9th Standards
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
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Lesson Plan
EngageNY

Simplifying Square Roots

For Students 8th Standards
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...
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Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
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Lesson Plan
West Contra Costa Unified School District

Simplifying Radicals – Day 1

For Teachers 8th - 10th
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The instructional activity progresses to simplifying radicals involving algebraic expressions in the radicand.
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Lesson Plan
1
1
EngageNY

Radicals and Conjugates

For Students 10th - 12th Standards
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson plan relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis...
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Workbook
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1
University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Assessment
Mathematics Assessment Project

The Real Number System

For Students 9th - 12th Standards
Get real! Four simple questions assess knowledge of topics in the real number system. Topics include ordering radicals, multiplying and simplifying radicals, and writing values in scientific notation.
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Worksheet
Math Guy

Algebra 2 Practice Final

For Students 9th - 12th Standards
Work out to Algebra II with the 50-question instructional activity that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a...
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Lesson Plan
1
1
EngageNY

Adding and Subtracting Expressions with Radicals

For Students 9th - 10th Standards
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of polygons. 
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Lesson Plan
EngageNY

Multiplying and Dividing Expressions with Radicals

For Students 9th - 10th Standards
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide radical...
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Worksheet
Kuta Software

Simplifying Radicals/Imaginary Numbers

For Students 9th - 12th Standards
Looking for straightforward practice on simplifying radicals and imaginary numbers? Here are 20 problems to practice these skills and an answer key for the odd-numbered questions. 
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Lesson Plan
Virginia Department of Education

Simply Radical

For Teachers 8th - 10th Standards
Simplifying is radical, dude! After reviewing how to simplify square roots of whole numbers, scholars consider how to simplify square roots of algebraic monomials. Also taken under consideration is how to simplify cube roots of whole...
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Lesson Plan
Curated OER

Simplifying Radicals

For Teachers 10th
In this geometry worksheet, 10th graders simplify radicals.  The one page worksheet contains twelve problems.  Answers are not included. 
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Worksheet
Curated OER

Easy Worksheet: Operations with Radicals

For Students 9th - 12th
In this operations with radicals worksheet, students solve 8 short answer problems. Students simplify radical expressions that involve multiplying, dividing, adding, and subtracting rational numbers.
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Worksheet
Curated OER

Easy Worksheet: Simplifying Radicals

For Students 9th - 12th
In this simplifying radicals worksheet, students solve 18 short answer problems. Students simplify radicals of non-perfect square numbers. Students find the square and cube roots of positive rational numbers.
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Worksheet
Curated OER

Simplifying Radicals

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students simplify radicals and radical expressions involving multiplication and division.  The one page worksheet contains a combination of nine multiple choice and free response questions. ...