EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Willow Tree
Number Properties
The number of basic algebraic properties can become overwhelming for learners. A lesson plan explains and gives examples for all the basic algebraic properties. The resource is perfect to use as a way for pupils to organize and study the...
Curated OER
Famous Public Properties
What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and...
Curated OER
Famous Public Properties
Students identify and use the commutative properties of addition and multiplication, associative properties of addition and multiplication, and the distributive property of multiplication over addition.
EngageNY
Algebraic Expressions—The Commutative and Associative Properties
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
Curated OER
Commutative Property
First graders use various models to learn the Commutative Property of Addition. In this Commutative Property lesson, 1st graders use other students, counters, balances, and dominoes to apply the addition property. Students solve addition...
Utah Education Network (UEN)
Pattern Search
Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...
Curated OER
Taxes and Sales
Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...
Curated OER
Find the Factors and Prime Factors
Show the class how to find the factors of numbers. They use a variety of strategies, including unifix cubes, to find the factors of a whole number. This resource includes clear procedure to follow. Included are an anticipatory set,...
Curated OER
Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
Virginia Department of Education
Properties of Operations
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
Virginia Department of Education
Properties
Examine some properties that don't require a general contractor. Scholars first complete a mental math activity that uses the properties of real numbers. A separate activity formalizes these properties.
Curated OER
Addition Properties
Student study addition properties. In this addition properties lesson, students use multiple methods to solve various types of problems. Students illustrate and describe in various ways the Commutative Property of Addition. Students...
West Contra Costa Unified School District
Simplify Expressions and Solve Equations Using Two-Column Proofs
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
Curated OER
The Commutative Cookie
Third graders investigate the commutative properties of multiplication and focus upon the setting of cubes in the correct patterns to solve problems. They differentiate between numbers that have multiple factors and prime numbers....
Curated OER
Commutative, Associative, and Distributive Properties
Middle schoolers explore the concept of the associative, commutative, and distributive properties. In the associative, commutative, and distributive properties lesson, students discuss real world examples of each property. Middle...
EngageNY
Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
Curated OER
Properties of Operations
In this algebra worksheet, students identify different properties of integers and their operations. There are 30 questions with an answer key.
Curated OER
Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra lesson, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using Cuisinaire...
Virginia Department of Education
Evaluating and Simplifying Expressions
Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...
Buffalo State
Adding and Subtracting Integers Unit
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one another...
Curated OER
Commutative Property
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...