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Showing Results for arrays and the commutative property

Let your students explore similarities and differences between arrays, and help them understand the commutative property of multiplication. Use this as a stand alone lesson or as a prelesson for *Parking Lot Multiplication*.

Foundations of the Commutative Property

Teach your students to recognize and use the distributive property of multiplication.

Distributive Property

Let's talk about the distributive property! Give students a chance to explain their thinking of how and why this property of multiplication works. This lesson may be taught as a standalone or as support to the lesson Distributive Property.

Justifying the Distributive Property

Teach your students to recognize and use the associative property of multiplication.

Associative Property of Multiplication

Help your students make sense of the commutative property of multiplication by relating it to arrangements of cars in parking lots.

Parking Lot Multiplication

Use this lesson with your students to allow them to explore the associative property of multiplication by having deep discussions in small groups. Use this as a stand alone lesson or alongside *Associative Property of Multiplication*.

Explore the Associative Property of Multiplication

Discovery is exciting! In this hands-on lesson, your students will discover for themselves the rule behind the commutative property of addition.

Commuting and Computing

This nifty lesson helps kinesthetic learners reinforce their knowledge of the commutative property. Students will love the challenge of matching equations with their fact families.

Where is my Fact Family?

Illustrating products for fractions with arrays is fun! Use this lesson plan to teach your students to visualize products as arrays when faced with multiplying fraction factors.

Arrays for Fraction Products

Making mistakes helps us learn! Your students will flex their analytical muscles to pinpoint errors in multiplication problems using arrays. Use the lesson on its own or as support to Base Ten Arrays for Multi-Digit Multiplication.

Multiplying with Arrays

In this lesson, students will explore the characteristics of arrays and find out why they are important. Use this lesson independently or alongside Come Array With Us! 

What Are Arrays?

Roll some dice to introduce the early concepts of associative and commutative properties in addition by composing and decomposing 10. Worksheets and a quiz are included!

Give Me 10!

Introduce your students to the Distributive Property of Multiplication with this lesson that allows them to learn with their peers and then get some individual practice in.

Distribute to Multiply

In this scavenger hunt lesson, students will look for rectangular arrays within their school environment. Whether it is a set of cubbies or windows, students will see that arrays are all around us.

Come "Array" With Us

Teach your students to draw an array using base ten notation to solve multiplication problems with two two-digit factors.

Base Ten Arrays for Multi-Digit Multiplication

In this lesson, your students will use repeated addition to find the total number of objects in arrays. This lesson will help your students build upon the skills needed to learn multiplication.


Up, Up, and Array

Students will practice calculating volume as an additive property by making mock hamster mansions from boxes. Groups will calculate the volume of living space that they designed for their hamster in cm³ and document their work.  

Volume as Additive: Create a Hamster Mansion

In this lesson, students use cubes to build arrays to represent factor pairs of numbers within 100. They use this understanding to identify multiples as well.

Arranging Numbers in Multiple Ways

In this lesson, your students will explore the properties of solids and learn to describe them in various ways.


A Solid Investigation

Are your students struggling with multiplication when it comes to word problems? In this lesson, students will see multiplication problems as a comparison and use word problems to create multiplication equations.

More Words, More Problems

In this lesson, students will use a multi-sensory approach by engaging in a hands on activity with toothpicks to create, explore, and learn about the properties of four different types of angles.

All About Angles

Help your students create a basis for future math classes with this lesson that teaches children about math expressions and how they can interpret them.

Express Yourself!

In this lesson, students engage in interesting hands-on activities that help them discover the properties of parallel, perpendicular, and intersecting lines. Your little mathematicians will have a blast as they learn about geometry.

What's My Line?

2D shapes are all around us! In this lesson students will explore the properties of four different shapes—triangles, circles, rectangles, and squares! They will learn that they can find these shapes anywhere in the world around us.


Finding All of the Flat Shapes

What's the unknown? In this lesson, your students will become familiar with strategies that can help them solve for the unknown factor in multiplication problems.

Multiplication: Solving for Unknown Factors

Teach your students to use number lines as a strategy to multiply two single-digit factors.

Number Line Multiplication

This lesson allows students to explore the concept of multiplication hands on. Kids will also come to understand why multiplication is important as well as how to solve multiplication problems using array models.

Array Models in Multiplication

Your students will learn to add unlike mixed numbers using tape diagrams. 

Illustrating Mixed Number Sums with Tape Diagrams

Show your class how combining two objects can create a new object in this hands-on science lesson. Students will learn why breaking apart an object doesn't change its mass.

All About Matter: Chemical vs. Physical Changes

Teach your students to create equivalent fractions by multiplying by different fraction forms of 1 whole like 2/2 or 4/4. This lesson also includes drafts of area models.

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Showing Results for arrays and the commutative property