Assessment
Illustrative Mathematics

Counting Dots in Arrays

For Students 2nd Standards
Mathematical arrays can represent several different math skills, including counting groups, multiplication, and even area. In this specific task, learners are asked to identify the addition equations that are equal to a 3 x 4 array....
Worksheet
Curated OER

Fact Families

For Students 1st - 2nd
With a few extra numbers, these fact families would be complete! After looking at an example, scholars write in the sums and differences for six equations as part of three different fact families. This is really for beginners to this...
Printables
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Curriculum Corner

Number Family Cards

For Students 1st Standards
Sixteen number families test young mathematicians' knowledge of the commutative and associative property of addition. Pupils list four problems—two addition and two subtraction—related to a given set of three numbers.
Activity
Curriculum Corner

Christmas Cover-it

For Students 4th - 6th Standards
A Christmas-themed math game prompts partners to find a multiplication fact on the board, say the fact, and cover it with chips. The last person to cover the last multiplication fact wins!
Worksheet
Curated OER

Multiplication Properties and Division Rules 2

For Students 4th - 5th
In this multiplication and division instructional activity, students review the four multiplication properties: commutative property, property of one, zero property, and associative property. Students use the properties to solve the...
Worksheet
Curated OER

Arithmetic Commutative Property of Addition 3 Worksheet

For Students 5th
In this commutative property of addition worksheet, 5th graders answer 16 questions where they find the missing number in a addition sentence. 
Lesson Plan
Curated OER

Domain: Operations and Algebraic Thinking

For Teachers K - 2nd
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...
Worksheet
Curated OER

Simplifying Expressions

For Students 9th
In this simplifying expressions learning exercise, 9th graders solve and complete 19 various types of problems where students select the best choice from each multiple choice item. First, they simplify a number of given expressions by...
Worksheet
Curated OER

Power Laws

For Students 7th - 8th
In this power laws worksheet, students solve and complete 6 different types of problems. First, they express each using powers and write in index form with a given base. Then, students calculate each problem and write in simplest terms.
Activity
Curated OER

Connor and Makayla Discuss Multiplication

For Teachers 5th Standards
The commutative property of multiplication applies not only to whole numbers but to fractions as well. Connor and Makayla explore and discuss the idea that 2/3 x 3 is the same as 3 x 2/3. Your 5th grade class will connect with...
Worksheet
Curated OER

Addition Properties and Subtraction Rules

For Students 3rd - 4th
In this addition and subtraction worksheet, students review the addition properties and the subtraction rules. Students then complete each number sentence and tell which property or rule was used.
Lesson Plan
Curated OER

Properties of Operations

For Teachers 9th - 11th
For this algebra worksheet, students identify different properties of integers and their operations. There are 30 questions with an answer key.
Lesson Plan
Virginia Department of Education

A Mystery to Solve

For Teachers 8th - 10th Standards
Investigate field properties of real numbers. Scholars use a table for a given operation to determine the identity element. They use the same table to find a missing value in an equation.
Lesson Plan
Curated OER

Pattern Search

For Teachers 3rd
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...
Lesson Plan
Curated OER

Representing Relationships with Equations

For Teachers 2nd - 3rd
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...
Lesson Plan
EngageNY

Matrix Multiplication Is Distributive and Associative

For Teachers 11th - 12th Standards
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson in the series, pupils now test the associative and distributive properties. The...
Worksheet
Curated OER

Fact Families - Part 2

For Students 1st - 2nd Standards
Complete these fact families; mathematicians use addition number sentences to write three more equations, all of which are members of the same fact family. There is an example here to guide them, and they solve for nine more number...
Worksheet
Curated OER

Mixed Tables

For Students 3rd - 4th
Bring out the pegboards for this one! As you introduce multiplication, explain it as sets of objects using these visual practice problems. Learners look at eight pegboards with varying rows filled. For each, they fill in two sentences...
Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra worksheet , students apply the properties of numbers to answer problems written in a certain way, The answer must make the property a true statement. There are 32 questions with an answer key.
Lesson Plan
Curated OER

Distributive Property

For Teachers 9th - 10th
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...
Lesson Plan
Curated OER

Using Basic Properties to Solve Problems in Math

For Teachers 6th - 8th Standards
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...
Lesson Plan
Curated OER

Multiplying Using the Commutative and Associative Properties

For Teachers 3rd
Third graders practice using the commutative and associative properties. In this multiplication lesson, 3rd graders simplify a series of problems using multiplication sentences and complete a worksheet. 
Handout
Santa Barbara City College

How to Make a Multiplication Table

For Teachers 3rd - 6th Standards
Teach children how to make a multiplication table, and they'll be multiplying for life. Following this series of steps, young mathematicians learn to use patterns and the relationships between numbers to create...
Worksheet
Curated OER

Quick Quiz: Addition Properties

For Students 4th - 6th
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.

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