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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.
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Multiplication Property of Equality
Thorough coverage of the multiplication property of equality is found at this tutorial. Numerous example problems are worked through and some practice problems are supplied.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Properties of Real Numbers
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...
Better Lesson
Better Lesson: Associative Property With Manipulatives
Children need to understand why the mathematical properties work and how they are applied. In this lesson plan, we explore modeling and "proving" the associative property. In this lesson plan, we explore modeling and "proving" the...
Better Lesson
Better Lesson: Word Problems With Order of Operations (Day 1 & 2)
Writing word problems reinforces understanding of the order of operations.
University of Saskatchewan (Canada)
University of Saskatchewan: Inequalities
This University of Saskatchewan looks at the basic rules of solving inequalities, concentrating on inequalities with absolute values. Includes example problems and exercises with their solutions.
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.
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.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Multiplication, Division and Place Value, Part 1
Sixth graders are presented with a completed multiplication equation and are asked to use it to find the answers to seven other equations. To do this, they must use their reasoning and estimation skills. Aligns with 6.NS.B.3.
Wyzant
Wyzant: Simplify Using the Distributive Property
A short tutorial is presented to explain how the distributive property is used to simplify expressions. Students can practice the concept using the online worksheet provided.
Help Algebra
Help algebra.com: Using Principles of Equality
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.
Better Lesson
Better Lesson: Multiply and Divide by 10
Counting by 10's is easy for students of this age. Knowing that base 10 can be used to help multiply and divide in the higher numbers by decomposing is critical. This lesson sets the base for future work.
Help Algebra
Help algebra.com: Getting Rid of Parentheses
Resource explains how to simplify several types of expressions that contain expressions using the properties of addition and multiplication and applying the properties with the order of operations.
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.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Linear Equations in One Variable
After completing this tutorial, you'll know what a linear equation is and how to solve one using various arithmetic properties. Contains several definitions, problems with step-by-step solutions, and practice exercises. Includes links to...
Better Lesson
Better Lesson: Target Number Game
Playing a game for the order of operations engages students in math fact review and builds fluency.