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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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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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Worksheet
Curated OER

Higher Roots and Rational Exponents

For Students 9th
In this higher roots worksheet, 9th graders solve and complete 40 various types of problems. First, they simplify each root by taking the number inside times another number. Then, students write out the root using 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

Rational Exponents

For Students 9th
In this rational exponents worksheet, 9th graders solve 10 different problems that include fractional exponents in each. First, they determine the simplest numerical answer possible for each expression. Then, students apply the rules of...
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Lesson Plan
1
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EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
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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. 
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Worksheet
Curated OER

Rational Exponents

For Students 11th
In this worksheet, 11th graders solve 10 different problems that include various computations with radicals. Answers are not included.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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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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Lesson Plan
Curated OER

Rational Numbers as Exponents

For Teachers 9th - 10th
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Organizer
Curated OER

Radicals and Rational Exponents

For Students 9th
In this radicals and rational exponents worksheet, 9th graders solve and complete 32 various types of problems. First, they write each expression in radical form. Then, students write each expression in exponential form. In addition,...
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Worksheet
1
1
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

Formulae

For Students 6th - 9th
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
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Worksheet
1
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Key Curriculum Press

Applications of Exponential Functions

For Students 10th - 12th Standards
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
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Worksheet
Curated OER

The Discriminant

For Students 9th
In this discriminant worksheet, 9th graders solve 10 different problems related to determining the discriminant in each equation. First, they find the nature of roots in quadratic equations. Then, students determine whether each of the...
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Lesson Plan
Curated OER

Worksheet 8, Exponents

For Teachers 11th - 12th
In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...
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Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
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Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide learners with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...
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Worksheet
Curated OER

Chapters 8 & 9: Functions and Graphing

For Students 10th - 12th
How many problems can your learners solve without using their calculators? They solve problems containing absolute value, exponents, and rational roots. This three-page worksheet contains 18 multi-step problems, and it was originally...
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...