Curated OER
Algebraic Transformations
Students create a shape sorter and consider all possible moves that will return a shape to its original position. They investigate the results when two of these moves are performed consecutively, to learn about the commutative and...
Virginia Department of Education
Using Order of Operations and Exploring Properties
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each instructional activity uses different materials and works as a stand-alone activity, or can build upon the...
Curated OER
Pattern Search
Third graders review the commutative and associative property in mathematics. Using a worksheet, they work together to identify the patterns between the 32 triangles. To end the lesson, they create their own array and exchange it with...
Curated OER
Distributive Property
Students explore the distributive property. In this algebra lesson plan, students are given Fruit Loops or other manipulatives and the class is divided in half. Each half of the class completes part of the equation to show that both...
Curated OER
Commutative, Associative, and Distributive Properties
Students explore the concepts of commutative, associative, and distributive properties. In this beginning algebra lesson, students discuss the terms "commute", "associate", and "distribute" and how they correlate with the related...
Curated OER
8th Grade Math Properties
Eighth graders engage in a lesson that is concerned with the properties associated with 8th grade Algebra. They solve problems using a variety of contexts and participate in using real world problems to create context. Students...
Curated OER
Properties of Real Numbers Reference Chart
In this algebra worksheet, students reference the six properties of real numbers over multiplication and addition in an easy to read format. There are 10 examples.
Utah Education Network (UEN)
Simplifying Algebraic Expressions
Sixth and seventh graders explore the concept of simplifying algebraic expressions. They review the order of operations and apply properties to simplify and compare them. The author suggests using a "Boxes Game" as a motivator to get...
Illustrative Mathematics
Writing Expressions
Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...
Curated OER
Using Basic Properties to Solve Problems in Math
Learners identify and define the rules of properties of real numbers. They rewrite each of the problems listed using the commutative or associative properties. Pupils apply problem solving strategies to clarify situations in a table...
Curated OER
Properties of Operations
Eighth graders use the order of operation correctly. In this algebra lesson, 8th graders solve integers using the order of operation. They apply the commutative as well as the associate property to solve problems correctly.
EngageNY
Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Curated OER
Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
Curated OER
Number Sense: Real Numbers
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in groups.
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
Curated OER
Patterns, Functions & Algebra
Students participate in numerous activities and games. In pairs, they play card games to find relationships between a random set of playing cards. After writing samples of Dear Abby letters concerning math problems, students create a...
Curated OER
Factoring
Ninth graders factor equations and find prime numbers. In this algebra lesson, 9th graders find the factors and prime factors of a number using multiples and relatively prime numbers.
Curated OER
Real Number System
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
Curated OER
Fruity Math
Students solve one step linear equations. In this algebra lesson plan, students manipulate their variables and numbers to answer each problem. They make sure the equations stay balanced at all times.
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...