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Worksheet
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Kuta Software

Quadratic Equations with Square Roots

For Students 9th - 12th Standards
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions they...
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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 instructional activity, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root...
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Lesson Plan
Curated OER

Dividing Radical Expressions

For Teachers 8th - 9th
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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Lesson Plan
Curated OER

Discriminating Against the Zero

For Teachers 9th - 12th Standards
Students explore the concept of quadratic equations.  In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula.  Students give examples of functions with 2...
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Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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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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Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
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Activity
Education Development Center

Rational Exponents

For Teachers 8th - 10th Standards
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
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Interactive
Curated OER

Review of Pre-Algebra

For Students 7th - 9th
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
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Worksheet
Curated OER

Algebra I: nth Root and Rational Exponents

For Students 8th - 11th
This algebra worksheet contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an answer...
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Worksheet
Curated OER

Regents Exam Questions: Rationalizing Denominators 1

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

nth Roots and Rational Exponents

For Students 11th - 12th
In this algebra worksheet, students evaluate 20 problems in which they work with nth roots and rational exponents. They write expressions using rational exponents and radical notation. They identify roots, and round answers to two...
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Worksheet
Curated OER

Rationalize Denominators

For Students 9th - 11th
Solve 10 different problems that include various rational expressions. First, learners rationalize the denominator in each set. Then, they write the conjugate for each binomial and determine the reciprocal. They also write an expression...
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Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
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Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This worksheet is designed as a test to be completed with a calculator. 
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Lesson Plan
Curated OER

Are You a Radical or Just a Square Root?

For Teachers 4th
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
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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

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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Lesson Plan
Curated OER

Numbers 1.1

For Teachers 11th - 12th
In this numbers 1.1 worksheet, students solve 64 problems about all kinds of numbers:  rational, irrational, prime, composite, square roots, fractions, decimals.
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...