Learning Wave Communications
Learning Wave: Additive Property of Zero
Properties of zero are presented in detail, with a word problem that demonstrates the additive inverse property and the additive identity property of zero.
ClassFlow
Class Flow: Shedding Some Light on Properties of Addition
[Free Registration/Login Required] This flipchart explores the properties of addition: order property, zero property, and the grouping property. It also uses manipulatives to show and practice each property.
Utah Education Network
Uen: Properties
This multi-segment lesson plan walks students through understanding and applying the properties of multiplication and addition. It provides a song for learning the properties as well as ideas for assessment.
Cool Math
Coolmath: Properties the Additive Identity Property
This CoolMath resource will help students understand the additive property of zero.
Khan Academy
Khan Academy: Intro to Zero Matrices
Explains what a zero matrix is, shows examples, and provides some interactive practice exercises. Help is available for exercises if it is needed. A summary chart compares the number zero to the zero matrix.
The Math League
The Math League: Whole Numbers & Basic Properties
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.
Lawrence Hall of Science
The Math Page: Skill in Arithmetic: Elementary Addition
This resource offers six brief arithmetic lessons: sums less than ten, sums of ten, and sums between ten and twenty, doubling, zero, and a set of general practice problems.
CK-12 Foundation
Ck 12: Properties of Matter
[Free Registration/Login may be required to access all resource tools.] In this online tutorial, students will begin to understand a substance according to its physical properties. Learn to distinguish between extensive and intensive...
Mangahigh
Mangahigh: Number: Relate Addition to Multiplication
Explore commutative, associative, and distributive properties for multiplication and addition and how they are related.
Khan Academy
Khan Academy: Integers: Negative Numbers: Number Opposites
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...
Science Struck
Science Struck: Adding Exponents
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.
Other
Sierra College: Elementary Algebra Review Sheet and Common Formulas
This review sheet includes important rules, properties, formulas, and equations needed to solve many Algebra problems.
Math Aids
Math Aids: Properties Worksheets
Great resource for learning and practicing the different properties of mathematics. Math worksheets are printable, may be customized, and include answer keys.
Purple Math
Purplemath: Basic Number Properties: Associative, Commutative, and Distributive
This Purplemath lesson includes many different number properties explained by using examples.
Shodor Education Foundation
Shodor Interactivate: Identity Properties
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.
Illustrative Mathematics
Illustrative Mathematics: 3.oa Making a Ten
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...
Illustrative Mathematics
Illustrative Mathematics: 5.md,oa You Can Multiply Three Numbers in Any Order
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.
Cuemath
Cuemath: Integers
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...
Illustrative Mathematics
Illustrative Mathematics: Make 9
Learners will make 9 in as many ways as they can by adding two numbers between 0 and 9. This is a good introduction to the commutative property.
Illustrative Mathematics
Illustrative Mathematics: Counting Dots in Arrays
This task aims to show students that there is often more than one way to represent a quantity. This lesson plan also lays a foundation for students to understand the commutative property of multiplication.
McGraw Hill
Mc Graw Hill: The Additive Inverse Property
The sum of any number and its additive inverse is always a zero. This site gives you the rule for this property.
University of St. Andrews (UK)
University of St. Andrews: Brahmagupta
Brahmagupta was a mathematician and an astronomer. He is responsible for the addition and multiplication properties of zero.