Illustrative Mathematics
Calculating the square root of 2
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Centre for Education in Mathematics and Computing
Number Sense and Numeration: Exponents
On a three-page assignment, number crunchers will examine the laws of exponents and apply them to a variety of problems. They write expressions in exponential form or as repeated multiplication. They evaluate and simplify exponential...
Key Curriculum Press
Applications of Exponential Functions
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...
Curated OER
Exponent Rules
Pupils use calculators to work independently to discover the rules for working with exponents. The activity requires the use of a TI-nspire handheld and software.
Yummy Math
Happy 14th B’ak’tun, the start of the next Great Mayan cycle
The ancient Mayans had a complex calendar and number system with a rich history. In fact, the date 12/21/2012 was the center of much controversy as to whether or not it was the end of time. It wasn't the end of time, but it was the end...
Robert Gordon University
Indices
The laws of exponents are written on a handy reference sheet. Note that since this worksheet was written in the UK, powers or exponents are also called indices (singular: index). If this does not pose a problem for you, the concepts and...
Curated OER
Rational Exponents
In this Algebra worksheet, students simplify expressions involving rational exponents. The one page worksheet contains explanation, examples and nine practice problems.
Alabama Learning Exchange
Calendar Fun Operations
Middle schoolers explore the concept order of operations. In this order of operations lesson, young scholars make a song about the order of operations in groups. Middle schoolers practice working problems using order of operations.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Exponents
In this tutorial, you will learn what a rational exponent is and how to complete many tasks involving them. Follow step-by-step instructions and examples, view video explanations, and hone your skills with several practice problems.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Rational Exponents
An online tutorial which teaches you how to rewrite a rational exponent in radical notation, simplify an expression that contains a rational exponent, and use rational exponents to simplify a radical expression. Works through example...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Exponents
Thirty problems cover various aspects of the topic of radical exponents. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Properties of Exponents
Thirty-seven problems present a variety of practice applying the various properties of exponents in different situations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Exponents and Nth Roots
Twenty-two problems present a variety of practice working with nth roots and rational exponents. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Properties of Rational Exponents
Twenty problems present a variety of practice applying the various properties of rational exponents in different situations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Properties of Exponents
Find a quick, concise but complete explanation of the properties of exponents. Examples are given and clearly explained for each property.
CK-12 Foundation
Ck 12: Interactive Algebra 1 for Ccss
This is a complete, full-year Algebra 1 course with interactivity included in every lesson. Some lessons include videos, and all include interactives and inline questions that offer instant, per-answer feedback. Every lesson also has...
Understanding Algebra
Understanding Algebra: Positive Integer Exponents
This is a simplified explanation about exponents along with a few rules for combining numbers with exponents.
University of Utah
University of Utah: An Example of Logical Construction: Powers
A page which uses exponents as a step-by-step example of how logic is used to find complex mathematical concepts by building upon simpler concepts.
Texas Instruments
Texas Instruments: Radicals
In this set of exercises, students will simplify radicals and evaluate expressions with rational exponents. Questions are multiple choice and true/false; solutions are provided.
Oswego City School District
Regents Exam Prep Center: Discovering the Laws of Rational Exponents
This online tutorial explains how the laws of rational exponents are used to simplify expressions. The examples show exactly how the process is done. Click on the "Topic Index" to find related lessons, practice activities, and teacher...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Potencias De Numerous Racionales
In Spanish. In this site you will practice working with whole and rational exponents with different interactive activities.
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.
Mangahigh
Mangahigh: Number: Negative Exponents
This site provides students practice with the concept of negative exponents. Students can learn about the topic by completing an interactive tutorial. Students can then take a ten question timed test to practice the skill.