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
Numbers in Exponential Form Raised to a Power
Develop an understanding of the properties of exponents through this series of activities. This third lesson plan of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.
Curated OER
Properties of Addition and Subtraction
In this using properties to solve word problems, learners find the sums and differences of two-digit numbers using the zero property and the order property of addition to problem solve. Students solve six problems.
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
Arithmetic Commutative Property of Addition 1 Worksheet
Skills and drill practice may not thrill your class but as they say, practice makes perfect. They solve 16 single digit addition problems that require them to use the commutative property. Additional worksheet are available through this...
Curated OER
Domino Addition
Hands-on learning in math is essential to all learners, especially youngsters. In a math learning activity, young mathematicians use dominoes in order to discover the commutative property of addition. Fact families and doubles facts can...
Curated OER
Quick Quiz: Addition Properties
In this addition properties worksheet, students compete a 10 question quiz, identifying the property that is demonstrated in each equation, associative, commutative or identity. Answers included on page 2.
Curated OER
Examine Addition Properties
In this addition properties worksheet, students complete problems involving the commutative, associative, and identity properties. Students complete 5 problems.
Curated OER
Addition Properties and Subtraction Rules
In this addition and subtraction learning exercise, students review the addition properties and the subtraction rules. Students then complete each number sentence and tell which property or rule was used.
Curated OER
Addition Properties
In this addition properties worksheet, students fill in the missing number in 6 addition sentences. Students tell which property of addition was used to find each answer. There is no list of the properties and there are no examples.
Curated OER
Algebra: Expressions and Addition Properties: Practice
In this algebraic expressions and addition properties worksheet, students write an algebraic expression for each word phrase in the first set of problems. Students then translate each algebraic expression into words in the second set. In...
Curated OER
Addition Properties
For this addition properties worksheet, students use addition properties to answer the six word problems about the national parks of the United States.
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.
Curated OER
Properties of Real Numbers
In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
Ahisma Summer Institute
The Power of One - Math in a Different Angle
In this 2-day lesson plan focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board....
EngageNY
Solving Equations Using Algebra
Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...
EngageNY
If–Then Moves with Integer Number Cards
Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...
CK-12 Foundation
Addition and Multiplication Properties with Real Numbers: The Secret of Subtraction
An interactive boosts mathematicians' knowledge of subtracting integers using a horizontal number line by way of multiple-choice, true or false, and discussion questions. 
Curated OER
Algebra: Expressions and Addition Properties
In this algebraic expressions and addition properties instructional activity, learners write an algebraic expression for each word phrase. Students then translate each algebraic expression into words. In this third set, learners evaluate...
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
Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Curated OER
Addition Properties
In this addition properties worksheet, students solve 17 problems, including 2 test prep problems. Houghton Mifflin text is referenced.
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.
Curriculum Corner
Number Family Practice Page
Using their knowledge of the associative and commutative properties of addition, class members work with fact families to create two addition and two subtraction problems with three given numbers. 
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 - Addition Property of Equality
 - Order Property of Addition
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