Handout
Help Algebra

Help algebra.com: Properties of Real Numbers

For Students 9th - 10th
Both additive and multiplicative properties of real numbers are presented on this page. An example demonstrates the distributive property.
Activity
Washington State University

Washington State University: Real Numbers

For Students 9th - 10th Standards
This site from Washington State University provides properties and rules of addition and multiplication that help with proofs.
Unit Plan
Khan Academy

Khan Academy: Repeated Addition

For Students Pre-K - 1st Standards
In this exercise, students practice repeated addition. Students receive immediate feedback and have the opportunity to get hints, watch a tutorial video, and try questions repeatedly.
Unit Plan
Sophia Learning

Sophia: Properties of Equality

For Students 9th - 10th
This video lesson reviews the properties of equality and demonstrates how to use them to solve equations. Students can check their understanding with an assessment.
eBook
Math Planet

Math Planet: Algebra 1: Properties of Equalities

For Students 9th - 10th Standards
Provides examples and a video lesson that illustrates the properties of equalities.
Activity
Help Algebra

Help algebra.com: Using Principles of Equality

For Students 9th - 10th Standards
An equation is solved using both the addition and multiplication principles of equality. This example can be used as a model for solving similar equations.
Whiteboard
ClassFlow

Class Flow: Properties of Math

For Teachers 6th - 8th
[Free Registration/Login Required] This flipchart is an introduction and application of three principle properties of mathematics. Students will identify and apply the Identity, Commutative, and Associative Properties of addition and...
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Oswego City School District

Regents Exam Prep Center: More Practice With Properties of Real Numbers

For Students 9th - 10th
How well do you know your number properties? Take this quiz and find out what you know or what you don't know. Immediate feedback. Check your answer right online.
Unknown Type
Oswego City School District

Regents Exam Prep Center: Practicing With Properties of Real Numbers

For Students 9th - 10th Standards
Test your knowledge of the number properties. This challenging practice really puts you to the test. Assessment covers all number theory properties: associative, commutative, distributive, inverse, and identity.
Activity
Purple Math

Purplemath: Basic Number Properties: Associative, Commutative, and Distributive

For Students 9th - 10th Standards
This Purplemath lesson includes many different number properties explained by using examples.
Unit Plan
Sophia Learning

Sophia: Using Commutativity

For Students 6th - 8th
Take a look at the commutative property of addition and multiplication and take quiz to assess learning.
Unit Plan
Khan Academy

Khan Academy: Patterns in Multiplication Tables

For Students 2nd - 4th Standards
Practice discovering and explaining patterns in multiplication tables. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. CCSS.Math.Content.3.OA.D.9 Identify...
Activity
Integrated Publishing

Integrated Publishing: Inequalities

For Students 9th - 10th Standards
Read an explanation of both the addition and multiplication properties of inequalities. Examples and practice problems (with their solutions) are also provided.
Unit Plan
Department of Defense

Do Dea: Algebra 1: Semester 1: Equations

For Students 9th - 10th
A learning module through which students learn about equations including the following: Translating words into equations and equations into words, The Properties of Equality to help solving equations, Techniques for solving simple...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra: Properties of Real Numbers

For Students 9th - 10th Standards
After finishing this tutorial, you'll be well versed in various properties of real numbers: identity and inverse properties, commutative and associative properties, and distributive properties. You'll also know about the various symbols...
Handout
Other

Chili Math: The Distributive Property of Multiplication Over Addition

For Students 6th - 9th Standards
The distributive property of multiplication over addition allows us to eliminate the grouping symbol, usually in the form of parenthesis. Illustrates the basic pattern or formula and how to apply it.
Unit Plan
Scholastic

Scholastic: Study Jams! Math: Multiplication and Division : Distributive Property

For Students 5th - 8th Standards
Just like addition, multiplication has properties too. The distributive property shows that you can write a number sentence in different ways and still get the same result. Students watch an interactive tutorial, explore common mistakes...
Lesson Plan
Better Lesson

Better Lesson: Associative Property

For Teachers 3rd
Children need to understand why the mathematical properties work and how they are applied. In this lesson, we explore modeling and "proving" the associative property.
Lesson Plan
Better Lesson

Better Lesson: Introduction to Solving Equations

For Teachers 6th Standards
Sixth graders work with the concept of equality and balance to solve one and two-step algebraic equations.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 5.md,oa You Can Multiply Three Numbers in Any Order

For Teachers 5th Standards
The purpose of this task is for students to use the volume of a rectangular prism to see why you can multiply three numbers in any order you want and still get the same result. Aligns with 5.OA.A and 5.MD.C.5.
Whiteboard
ClassFlow

Class Flow: Commutative Property

For Teachers 1st - 5th Standards
[Free Registration/Login Required] This is the first lesson in a unit on the properties of addition and multiplication. It covers the commutative property and includes a short video clip, internet website, and Activote assessment.
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Math Aids

Math Aids: Properties Worksheets

For Teachers 4th - 7th
Great resource for learning and practicing the different properties of mathematics. Math worksheets are printable, may be customized, and include answer keys.
Activity
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Properties of Real Numbers

For Students 9th - 10th Standards
Find definitions and examples of commutative property, associative property, distributive property, identity property, inverse property, and multiplicative inverse. This tutorial also offers practice exercises for you to complete after...
Handout
University of St. Andrews (UK)

University of St. Andrews: Brahmagupta

For Students 9th - 10th
Brahmagupta was a mathematician and an astronomer. He is responsible for the addition and multiplication properties of zero.