Unit Plan
Math Is Fun

Math Is Fun: Working With Exponents and Logarithms

For Students 9th - 10th Standards
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Handout
Science Struck

Science Struck: Adding Exponents

For Students 9th - 10th Standards
Explains how to add exponents as well as other aspects of exponents including positive and negative exponents, rational exponents, zero exponents, power of power, and division of exponents. Includes practice problems with answers provided.
Unit Plan
PBS

Pbs: Negative Exponents as Fractals

For Students 6th - 8th
Determine the relationship between graphic patterns and what they represent mathematically. This video focuses on how fractals can be a visual representation of negative exponents, which are a way to express repeated division.
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Khan Academy

Khan Academy: Unit Fraction Exponents

For Students 9th - 10th
Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations.
Lesson Plan
PBS

Pbs Learning Media: Exponents and Radicals: Targeted Math Instruction

For Teachers 9th - 10th Standards
This lesson focuses on exponents and radicals as they apply to problems involving squares, perfect squares, and square roots.
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Khan Academy

Khan Academy: Properties of Exponents (Rational Exponents)

For Students 9th - 10th Standards
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Properties of Exponents Challenge (Rational Exponents)

For Students 9th - 10th Standards
Rewrite some elaborate exponential expressions that involve fractional exponents and radicals. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Paul Dawkins

Paul's Online Notes: Rational Exponents

For Students 9th - 10th Standards
A tutorial including exercises on rational exponents. The materials can also be downloaded in PDF format.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent

For Teachers 9th - 10th Standards
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Handout
Integrated Publishing

Integrated Publishing: Fractional Exponents

For Students 9th - 10th Standards
An overview of fractional (i.e., rational) exponents, including an example and practice problems with solutions.
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Khan Academy

Khan Academy: Properties of Exponents Intro (Rational Exponents)

For Students 9th - 10th Standards
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents.
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Paul Dawkins

Paul's Online Notes: Rational Exponents: Practice Problems

For Students 9th - 10th Standards
Practice exercise reviews rational exponents including how to simplify or evaluate expressions and write the answer with either positive or no exponents.
Activity
AAA Math

Aaa Math: Evaluating Exponents of Negative Numbers

For Students 6th - 8th Standards
This site explains how to evaluate exponents of positive and negative numbers. The site provides games and exercises to practice the skill.
Activity
AAA Math

Aaa Math: Evaluating Exponents of Negative Numbers

For Students 6th - 8th Standards
The mathematics resource examines how to evaluate exponents of negative numbers. Practice exercises are included.
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Paul Dawkins

Paul's Online Notes: Integer Exponents: Practice Problems

For Students 9th - 10th
Practice exercise reviews integer exponents including how to simplify or evaluate given expressions and write the answer with either positive or no exponents.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ee Extending Definitions of Exponents, Variation 1

For Teachers 8th Standards
In this task, 8th graders examine the changes in the size of a population of bacteria during an experiment studying its growth. They learn how to talk about negative integer exponents and negative time. Aligns with 8.EE.A.1.
Unit Plan
Interactive Mathematics

Interactive Mathematics: Simplifying Expressions With Integral Exponents

For Students 9th - 10th Standards
The laws of exponents are presented using expressions containing both positive and negative exponents. Several examples and exercises are given to help practice the concept.
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Khan Academy

Khan Academy: Solve Exponential Equations Using Exponent Properties

For Students 9th - 10th
Practice solving exponential equations using exponent properties.
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Khan Academy

Khan Academy: Solve Exponential Equations Using Exponent Properties (Advanced)

For Students 9th - 10th
Practice solving exponential equations using exponent properties.
Interactive
Calculator Soup

Calculator Soup: Exponents Calculator

For Students 9th - 10th Standards
This is an online calculator for exponents. Calculate the power of large base integers and real numbers. You can also calculate numbers to the power of large exponents less than 1000, negative exponents, and real numbers or decimals for...
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Math Aids

Math Aids: Exponents & Radicals Worksheets

For Teachers 4th - 8th
Great resource to practice and strengthen math skills pertaining to exponents and radicals. Math worksheets are printable, may be customized, and include answer keys.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.2: Kepler's Third Law of Motion

For Teachers 9th - 10th Standards
The purpose of this task is to solve some expressions requiring fractional exponents in the modeling context of planetary motion. Aligns with N-RN.A.2.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions

For Teachers 9th - 10th Standards
The goal of this task is to use properties of exponents for whole numbers in order to explain how expressions with fractional exponents are defined. Aligns with the N-RN.A.1 standard.
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Khan Academy

Khan Academy: Evaluate Radical Expressions Challenge

For Students 9th - 10th Standards
Evaluate numerical radical expressions using the properties of exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

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