Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Illustrative Mathematics
Extending the Definitions of Exponents, Variation 1
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...
Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
5280 Math
Capture the Points
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Negative Exponents
Here is a site that clearly and thoroughly explains many topics involving negative exponents, including the power of a quotient rule, the quotient of two powers rule, the definition of a negative exponent, and scientific notation. There...
Math Is Fun
Math Is Fun: Negative Exponents
The learning activity examines negative exponents. The resource consists of explanations and examples about negative exponents.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Math Notes: Algebra: Integer Exponents
The mathematics tutorial consists of notes and examples that investigate positive and negative integer exponents.
Math.com
Math.com: The Basics of Algebra: Exponents
Students learn about the laws of exponents through this algebra resource. A learning tutorial and practice problems to check for comprehension of the math concepts are included.
University of Saskatchewan (Canada)
University of Saskatchewan: Exponents and Exponential Functions
This site reviews the basic properties of exponents, and explains rational exponents and exponential functions, including those with base "e." Provides examples and lots of exercises.
AAA Math
Aaa Math: Evaluating Exponents of Negative Numbers
The mathematics resource examines how to evaluate exponents of negative numbers. Practice exercises are included.
AAA Math
Aaa Math: Evaluating Exponents of Negative Numbers
This site explains how to evaluate exponents of positive and negative numbers. The site provides games and exercises to practice the skill.
Oswego City School District
Regents Exam Prep Center: Positive, Negative, and Zero Exponents
At this site from Oswego City School District, students are shown the basic laws which govern simplifying positive, negative, and zero exponents. Examples are provided during the explanations, and then practice problems (and their...
Wyzant
Wyzant: Exponents
The lesson from WyzAnt begins with a review of the definition of exponents then proceeds to several examples which show the definition in action. Special cases such as those involving negative bases as well as the zero exponent and the...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Degree of a Polynomial
Answer to a question about how to find the degree of a polynomial. The question involves the degree when one of the exponents is negative, as well as a polynomial of two variables.
Wolfram Research
Wolfram Mathworld: Binomial Theorem
A math web site on the binomial theorem. Find the binomial formulas for both positive integer exponents and negative integer exponents with this site.
Oswego City School District
Regents Exam Prep Center: Cyclic Nature of the Powers of "I"
Students learn two easy methods to simplify "i" with any exponent. The practice page has several problems that include explanations. The teacher resource page has two possible activities for helping students understand the concept.
Interactive Mathematics
Interactive Mathematics: Basic Algebra
Interactive lessons are provided for many topics in algebra, including: laws of algebra, powers, roots and radicals, algebraic expressions, equations, and more. Use the links to navigate the tutorial and learn more focused concepts. The...