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\nExtend the Properties of Exponents to Rational Exponents: Common Core High School Math\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe exponent rules strike again! Here are some videos and resources to restore the rules and to practice with different types of exponents, including rational exponents. The standard finishes with simplifying radicals and tying the...\n
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\n\"Common\n\n
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\nCommon Core Algebra 2, Unit 7: Exponential Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nCommon Core Algebra 2, Unit 7: Exponential Functions focuses on rational exponents. The four videos examine Rational Exponents, Exponential Growth and Decay, Percent Change, and Modeling with Exponential Functions. Scholars review the...\n
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\n\"Exponential\n\n
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\nExponential Bliss\n

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\n\nFor Teachers\n\n7th - 10th\n\nStandards\n
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\nWell, maybe. Check out different resources all pertaining to exponent rules. The main focus is on integer exponents, but the last resources in the collection include rational exponents and a brief connection to radicals. No solving...\n
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\n\"Flipped\n\n
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\nFlipped Math: Common Core Algebra 2\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nAlgebra 2 pupils will flip over a 13-unit course that addresses Common Core standards designed for out-of-class learning. The first-semester unit covers polynomials, polynomial functions, radicals, transformations of functions, and...\n
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Instructional Video4:55
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\n\"Fractional\n\n
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\nMonterey Institute for Technology and Education\n
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\nFractional Exponents\n

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\n\nFor Students\n\n8th - 11th\n
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\nThis easy-to-follow video shows how to write the nth root of a number as a fractional exponent and how to simplify expressions with using fractional exponents.  There are worked examples, and practice problems included. \n
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\n\"Fractional\n\n
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\nWest Contra Costa Unified School District\n
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\nFractional Exponents and Property of Exponents\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nDon't just use a fraction of this resource ... use it all. Learners first investigate patterns to determine how to deal with fractional exponents. Individuals then evaluate expressions involving fractional exponents.\n
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\n\"Fractional\n\n
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\nWest Contra Costa Unified School District\n
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\nFractional Exponents\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...\n
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Worksheet
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\n\"Practice\n\n
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\nPractice With Fractional Exponents\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this fractional exponents worksheet, learners solve problems containing fractional exponents. Rules for exponent are available for assistance. This one-page worksheet contains 11 problems. An answer key is provided.\n
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Worksheet
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\n\"Fractional\n\n
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\nCurated OER\n
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\nFractional Exponents\n

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\n\nFor Students\n\n9th\n
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\nIn this fractional exponents worksheet, 9th graders solve 10 different problems that include various types of fractional exponents within them. First, they evaluate each given expression. Then, students determine whether their answer is...\n
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Instructional Video4:59
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\n\"Fractional\n\n
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\nCorbett Maths\n
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\nFractional Indices\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nFractional exponents can be just as powerful as integer exponents. A short YouTube video shows how to deal with rational exponents. It begins with an exploration of exponents that are unit fractions of the form 1/n and then looks at all...\n
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Instructional Video3:26
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\n\"Simplifying\n\n
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\nBrightstorm\n
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\nSimplifying Radical Expressions - Concept\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nRadical, dude! The resource provides an explanation on how to simplify radical expressions. It makes clear that radical expressions are ones that are strictly numerical but also are algebraic expressions. One of the problem sets...\n
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\n\"Rational\n\n
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\nCurated OER\n
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\nRational Numbers as Exponents\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nIn 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...\n
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\nRational Exponents\n

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\nIn 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...\n
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\n\"Rational\n\n
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\nCurated OER\n
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\nRational Exponents\n

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\nIn this rational exponents learning exercise, 9th graders solve 10 different problems that include various fractional exponents. They determine the simplest numerical answer possible for each expression. Then, students use the rules of...\n
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\n\"Zero,\n\n
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\nZero, Negative, and Fractional Exponents: Patterns with Powers\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nBuild a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.\n
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Instructional Video3:31
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\n\"Simplify\n\n
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\nSimplify Exponential Expressions with Fraction Exponents (Product Property of Exponents) - Example\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nNo need to get worked up about fractions as exponents. Viewers of an educational video learn how to simplify exponential expressions using the product property of exponents. All three examples in the video have rational exponents, both...\n
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Lesson Plan
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\n\"Rational\n\n
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\nRational Exponents\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nInvestigate 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.\n
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Activity
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\n\"Checking\n\n
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\nIllustrative Mathematics\n
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\nChecking a calculation of a decimal exponent\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIn a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...\n
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\n\"Radical\n\n
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\nRadical Expressions and Rational Numbers as Exponents\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nIn this radical expressions worksheet, young scholars find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.\n
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\n\"Radical\n\n
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\nRadical Expressions\n

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\nIn this radical expressions worksheet, 11th graders solve and complete 55 various types of problems. First, they find the function value in each expression. Then, students simplify, assuming that variables represent real numbers. In...\n
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\n\"Laws\n\n
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\nLaws of Exponents, Radicals\n

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\nIn this Algebra II learning exercise, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions.  The ten page learning exercise contains...\n
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\nThe Law of Large Numbers and Probability\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nLearners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....\n
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Worksheet
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\n\"Practice\n\n
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\nCurated OER\n
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\nPractice With Integer Exponents\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this exponent activity, students solve equations containing integer exponents. Rules for exponents are available. This two-page activity contains 11 problems. An answer key is available.\n
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Lesson Plan
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\n\"Exploiting\n\n
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\nEngageNY\n
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\nExploiting the Connection to Trigonometry 2\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nThe 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...\n
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