Activity
The Math League

The Math League: Whole Numbers & Basic Properties

For Students 3rd - 8th Standards
Here is a nice resource for students and teachers about whole numbers and their basic properties. It provides links to information on place value, expanded form, and rounding numbers are just a few of the topics on this page.
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Illustrative Mathematics

Illustrative Mathematics: 3.oa Making a Ten

For Teachers 2nd - 4th Standards
This task builds on that knowledge by asking them to study more carefully the make-a-ten strategy that they should already know and use intuitively. Aligns with CCSS.Math.Content.3.OA.D.9 Identify arithmetic patterns, and explain them...
Handout
Other

Sierra College: Elementary Algebra Review Sheet and Common Formulas

For Students 9th - 10th
This review sheet includes important rules, properties, formulas, and equations needed to solve many Algebra problems.
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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
Shodor Education Foundation

Shodor Interactivate: Identity Properties

For Students 3rd - 8th
The resource consists of a discussion between a mentor and two students about how to use additive and multiplicative identity and inverse properties. Examples and explanations of each are included.
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.
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.
Article
Cuemath

Cuemath: Integers

For Students 6th - 9th Standards
The term "integer" was adapted in Mathematics from the Latin word "integer", which means intact or whole. Integers are very much like whole numbers, but they also include negative numbers. This article explains the properties of integers...
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Khan Academy

Khan Academy: Integers: Negative Numbers: Number Opposites

For Students 5th - 7th Standards
Students take a quiz over the concept of integer opposites, also known as additive inverses. After answering each question they are given feedback. Hints are available but affect the score. If students are still struggling with the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Counting Dots in Arrays

For Teachers 2nd - 3rd Standards
This task aims to show students that there is often more than one way to represent a quantity. This lesson also lays a foundation for students to understand the commutative property of multiplication.
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.
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.
PPT
McGraw Hill

Mc Graw Hill: The Additive Inverse Property

For Students 9th - 10th
The sum of any number and its additive inverse is always a zero. This site gives you the rule for this property.