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Lesson Plan
Curated OER

Algebra 1: Simplifying Radicals

For Teachers 8th - 9th Standards
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
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Assessment
Mathed Up!

Surds

For Students 8th - 11th
Young mathematicians learn how to simplify expressions with square roots by watching a video that shows several ways to rewrite expressions involving radicals. They work on questions where they rationalize denominators and expand and...
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Lesson Plan
Curated OER

Square Roots and Exponents

For Teachers 11th
Eleventh graders solve problems with roots and exponents. In this algebra lesson, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root of rational and...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
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Workbook
1
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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Worksheet
Curated OER

Word Roots 6 Plic, Fac-Fic, Cogn-Not Intermediate Puzzles 1, 2, 3

For Students 9th - 12th
Fill in the squares to complete a word with a Latin root in it! The Latin root and a definition is given; your learners add letters to produce the correct word. A word list is given. Help expand your readers' vocabulary with these...
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Worksheet
Curated OER

Recursion, Roots and Newton's Methods

For Students Higher Ed
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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Lesson Plan
Curated OER

Simplify Radicals

For Teachers 7th - 8th
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
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Handout
McGraw Hill

Adding and Subtracting Radicals

For Students 7th - 10th Standards
Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with numerous...
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Worksheet
Math-U-See

Extra Practice

For Students 8th - 11th Standards
From exponents to slope-intercept form, an array of extra practice exercises will reinforce necessary skills for your middle and high schoolers. The worksheets include practice with order of operations, graphing equations, scientific...
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Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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Lesson Plan
Curated OER

Squares and Square Roots II

For Teachers 7th - 8th
Students evaluate squares and square roots. Through practice, they discover the inverse relationship between squares and square roots. Students take notes, solve square root and square root problems, and classify numbers as rational or...
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Organizer
Curated OER

Root Word Practice #1

For Students 7th - 9th
In this root word practice worksheet, students match 25 prefixes and roots to their meanings. Students place the numbers in the magic squares, and when all the answers are correct all of the columns and rows will add up to the same number.
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Lesson Plan
Curated OER

Worksheet Chapter 7 & 8 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, high schoolers find the value of given expressions, simplify division equations containing two variables, find the square root, and solve radicals. This worksheet contains 100 problems and contains an answer key.
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Lesson Plan
Curated OER

Simplifying Radicals

For Teachers 9th - 10th
In this algebra worksheet students find the root and simplify 20 radical expressions. Students use the product and quotient rules to simplify 27 radical expressions. They add or subtract radicals on 13 problems.
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Lesson Plan
Curated OER

Solving Radical Equations

For Teachers 9th - 10th
In this algebra worksheet, students solve 10 equations for the given variable. Each problem involves numbers under a radical sign.
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Lesson Plan
Curated OER

Worksheet #12: Simplifying Radicals

For Teachers 9th - 10th
In this radical worksheet, students simplify radicals by identifying the root, and rationalizing the denominator. They complete 40 multiple choice answers.
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Worksheet
Kuta Software

Imaginary Numbers

For Students 9th - 12th Standards
Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...
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Lesson Plan
EngageNY

The Pythagorean Theorem

For Students 8th Standards
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...
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Worksheet
Curated OER

Pythagoras' Theorem

For Students 5th - 10th
In this Pythagoras' Theorem worksheet, students solve problems having to do with square roots and numbers to a certain power. Students match up the answers for 30 problems.
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Worksheet
Curated OER

Regents Exam Questions: Rationalizing Denominators 1

For Students 9th - 12th
In this rationalizing worksheet, learners simplify expressions containing rational numbers.  They identify equivalent expressions containing fractions and square roots.  This four-page worksheet contains 16 multiple-choice problems.  An...
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Worksheet
Curated OER

Quiz: Squares and Square Roots

For Students 9th - Higher Ed
In this squares and square root activity, learners find the squares of ten perfect square numbers. The first five answers are written with an exponent of 2. The final five answers are to be written as a square root.
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Lesson Plan
2
2
Curated OER

Rational Exponents

For Teachers 9th - 12th Standards
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.