Third Grade Math Archives - Raven Cruz

Category Archives for Third Grade Math

Multiplication Word Problems in 3rd Grade

Understanding multiplication word problems in 3rd-grade can be daunting for sure. Truthfully, all the methods can be in place and your lesson can still fall flat. Personally, I feel that in this case, the one thing that is missing deals with whether or not the student is engaged and having fun.

Also, I feel like sometimes required curriculum can fail us, even if it is standards-based.

One day, I tried to dream up an activity that paired with my favorite math strategy (CUBES), that would be a big hit and hit the standards.


Understanding Multiplication Word Problems in 3rd Grade

Multiplication Word Problem Task Cards

Then, I realized, the most popular thing among students that I know... is their phone... How cute is the phone theme?!

These multiplication within 100 task cards pair perfect with my CUBES math strategy flip book.

The fun thing about these cards that you can share with your students - the names are from my daughter, family, and pets!

CLICK HERE TO PURCHASE THE MULTIPLICATION WITHIN 100 WORD PROBLEMS TASK CARDS

Understanding Multiplication Word Problems in 3rd Grade
Word Problems in 3rd grade task cards

Personally, I like to laminate the task cards for durability and reuse. Of course, this step is optional, but super efficient. 

Use the task cards in math centers, math rotations, etc...

Word Problems in 3rd-grade dry erase task cards.

CUBES Math Strategy and Word Problems

C.U.B.E.S. math strategy is commonly used to teach students how to deconstruct word problems to make them easier to solve.

Circle all the important numbers, underline the question, box all the important math words, evaluate the important words that you may have left out and eliminate what you don't need, and solve the word problem.

This flip book is a compact way for students to review the steps at home or at school. Plus, I always think providing parents with manipulatives to help their kiddos reinforce what they are being taught is a FABULOUS THING! AND this flip book is not 3rd-grade specific so it can be used for many years.

CLICK HERE TO PURCHASE THE CUBES FLIP BOOK

You may also like this free resource

I hate it when I invest in something and later feel like what I purchased was not worth what I paid.

Alternately, I love it when I can provide teachers and homeschool parents with quality resources that they can utilize.

For that reason, I compiled a free resource containing ONE task card out of every task card in my MEGA bundle. That way, teachers can try the resource before they make an investment.

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Color by Number Christmas Division Worksheets

Christmas is in the air and these color by number division worksheets for Christmas are just what you need to spread joy in your classroom. Plus, color by number worksheets are always a big hit with the kiddos! 

Use the worksheets for early-finisher, math centers, for good behavior, practice, etc...


Color by number Christmas division worksheets

Color by Number Christmas Division Worksheets Version 1

Currently, I have two versions of Christmas division color by number worksheets. The difference boils down to style and the amount of division sentences on each worksheet.

Version 1 has more division sentences and less colors than version 2. Though, both version contain a Rudolph-themed multiplication chart.

CLICK HERE TO PURCHASE VERSION 1
Color by number Christmas division worksheets
Color by number Christmas division worksheets

What's included in version 1:

  • Christmas Ornament
  • North Star
  • Presents for Christmas
  • Poinsettia
  • Snowman
  • Bell
  • Snowflake
  • Mistletoe
Holly color by number division worksheet.
Snowman division color by number worksheet.

Color by Number Christmas Division Worksheets Version 2

Version 2 (featured in the photographs below) is more bubbly and colorful than version 2. Your choice truly depends on the need for your classroom and personal preference.

Like I said above, both versions contain a Rudolph-themed multiplication charts.

In the end, color by number worksheets are AMAZING and you may just want to snag both! 

CLICK HERE TO PURCHASE VERSION 2
Color by number Christmas division worksheets
Color by number Christmas division worksheets

What's included in version 2:

  • Santa Claus (skin tone left blank for students)
  • Mrs. Claus (skin tone left blank for students)
  • Elf (skin tone left blank for students)
  • Rudolph
  • Candy Canes
  • Wreath
  • Presents for Christmas
  • Christmas Tree
Diverse Santa color by number worksheet for division.
Christmas themed multiplication charts.

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You may also like this blog post. 

These winter-themed color by number worksheets are always a big hit! 

Whether you need multiplication or division, these check all the boxes!

Christmas multiplication workhseets.

Shop My BEST SELLING

Elementary Math Resources

Winter multiplication color by number worksheets for 3rd grade
Christmas multiplication color by number worksheets for 3rd grade.
Winter-themed multiplication color by number worksheets for 3rd grade.
Hanukkah multiplication and division color by number worksheets.
Hanukkah multiplication and division color by number worksheets.
Hanukkah multiplication and division color by number worksheets.
Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Division fluency flip book for 3rd-grade.

Color by Number Division Worksheets for New Year’s

It's December 1st, and these color by number division worksheets are just the thing to add to your winter curriculum. The worksheets are great for math centers, early finishers, "be-good rewards", practice, etc...

In fact, many teachers (who have purchased my CBN resources), have stated exactly those things.

Color by number worksheets are not only fun for students, they also help them with division fluency.


Division color by number worksheets for New Year's

New Year's Color by Number Worksheets Version 1

At the current time, I have TWO sets of New Year's color by number for division. Their only differences are coloring and the amount of multiplication sentences on each sheets.

Version 1 is truly beautiful -- it has MORE division sentences than version 2, BUT the colors are not as common. The uncommon colors are only a problem because most 24-count crayons most likely don't have the colors listed.

In fact, I had to turn to Crayola™ to name the colors! 

With that said, the worksheets are beautiful! If you have a creative class, these worksheets are perfect! Also, early finishers will probably enjoy the challenge.

**QUICK TIP:  As the teacher, you could prepare the crayons BEFORE they are used in centers, etc... This will definitely cut down on confusion and make these worksheets a colorful blessing.

CLICK HERE TO SEE VERSION 1
Division color by number worksheets for New Year's
Division color by number worksheets for New Year's

When you purchase version 1 you 9 worksheets:

  • Fireworks
  • Hat
  • New Year's Ball
  • Crown
  • Sparkle
  • Star
  • Noise Maker
  • Balloons
  • Tree with Star
Division color by number worksheets for New Year's
Division color by number worksheets for New Year's

New Year's Color by Number Worksheets Version 2

The New Year's worksheets Version 2 are 24-crayon count compatiblediverse, and SUPER CUTE! I absolutely adore that the these worksheets accommodate diverse skin tones!

Version 2 New Year's worksheets have fewer division sentences than Version 1, but ARE SO CUTE!

CLICK HERE TO SEE VERSION 2
Division color by number worksheets for New Year's
Division color by number worksheets for New Year's

With version 2 you get 8 worksheets:

  • New Year's Baby 1 & 2
  • Countdown Clock
  • Fireworks
  • Black-Eyed Peas with Party Hat
  • A Party Hat with Grapes
  • Party Hat with Party Horn
  • Disco Ball
  • Black Hat with Balloons
Color by Number Division Worksheets for New Year's
Division color by number worksheets for New Year's

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If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.

Shop My BEST SELLING

Elementary Math Resources

Winter multiplication color by number worksheets for 3rd grade
Christmas multiplication color by number worksheets for 3rd grade.
Winter-themed multiplication color by number worksheets for 3rd grade.
Hanukkah multiplication and division color by number worksheets.
Hanukkah multiplication and division color by number worksheets.
Hanukkah multiplication and division color by number worksheets.
Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Division fluency flip book for 3rd-grade.

You may also like this blog post. 

If you enjoyed these New Year's division color by number worksheets, you may also like the multiplication version as well.

Whether you need multiplication or division, these check all the boxes!

Color by Number Multiplication Worksheets for New Year’s

It's December 1st, and these color by number multiplication worksheets are just the thing to add to your winter curriculum. The worksheets are great for math centers, early finishers, "be good rewards", practice, etc...

In fact, many teachers (who have purchased my CBN resources), have stated exactly those things.

Color by number worksheets are not only fun for students, they also help them with multiplication fluency.



I personally love using themed-worksheets for seasons and holidays -- I feel it helps students become aware of the specific time and even celebrate.

New Year's Color by Number Worksheets Version 1

At the current time, I have TWO sets of New Year's color by number. Their only differences are coloring and the amount of multiplication sentences on each sheets.

Version 1 is truly beautiful -- it has MORE multiplication sentences than version 2, BUT the colors are not as common. The uncommon colors are only a problem because most 24-count crayons most likely don't have the colors listed.

In fact, I had to turn to Crayola™ to name the colors! 

With that said, the worksheets are beautiful! If you have a creative class, these worksheets are perfect! Also, early finishers will probably enjoy the challenge.

**QUICK TIP:  As the teacher, you could prepare the crayons BEFORE they are used in centers, etc... This will definitely cut down on confusion and make these worksheets a colorful blessing.

CLICK HERE TO SEE VERSION 1

Sign up for free elementary math resources!

New Year's Color by Number Worksheets Version 2

New Year's worksheets Version 2 are 24-crayon count compatible, diverse, and SUPER CUTE! I absolutely adore that the these worksheets accommodate diverse skin tones!

Version 2 New Year's worksheets have fewer multiplication sentences than Version 1, but ARE SO CUTE!

CLICK HERE TO SEE VERSION 2

SIGN UP FOR MATH WITH RAVEN NEWSLETTER

If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.

Shop My BEST SELLING

Elementary Math Resources

Winter multiplication color by number worksheets for 3rd grade
Christmas multiplication color by number worksheets for 3rd grade.
Winter-themed multiplication color by number worksheets for 3rd grade.
Hanukkah multiplication and division color by number worksheets.
Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Multiplication strategies flip book for elementary math.

You may also like this blog post. 

These winter-themed color by number worksheets are always a big hit! 

Whether you need multiplication or division, these check all the boxes!

The Best Division Facts Tool to Make Learning Fun

This division fluency flip book is the best division facts tool to make learning fun! Not only is the flip book a big hit with students, it is super versatile and fun.

Students can add the flip book to their interactive notebooks for reference. Teachers can place the flip books in math centers, rotations, tool boxes, etc... Read more about the flip books below.


The Best Division Facts Tool to Make Learning Fun

About the Best Division Facts Flip Book

Like the multiplication fluency flip books, the division fluency flip books have been constructed to introduce division facts in the order in which I prefer to teach them. Based on the study of teaching the easiest facts first; 1, 5, and 10. Next, 2, 4, and 8. Next, 3, 6, and 9. Last, the facts for (see the photo below).

Students are asked to say the division sentence then, write the division sentence. Although, as the teacher, you could utilize this step to fit your curriculum needs. For example, you could have your students write the division sentence in a different way.

The Best Division Facts Tool to Make Learning Fun
The Best Division Facts Tool to Make Learning Fun

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If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.

Follow me on

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Watch my journey on

YouTube!

Follow my journey on Instagram!

Like me on

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Shop My BEST SELLING

Elementary Math Resources

Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Multiplication strategies flip book for elementary math.
Properties of multiplication flip book for elementary math.
Division fluency flip book for 3rd-grade.
Multiplication Strategies task cards for elementary math.
Properties of multiplication task cards for elementary math.
Identifying arithmetic patterns task cards for elementary math.
Arithmetic patterns task cards for elementary math.

You may also like this blog post about the

Math Flip Book Bundle for 3rd-Grade

Math flip book bundle for 3rd-grade.

The ONE Ultimate CUBES Math Strategy Flip Book

You have to hear about the ONE ultimate CUBES math strategy flip book! It is simple, not only to construct, but also to utilize! Plus, these flip books have been a big hit in my store!

Students can add the flip book to their interactive notebooks for reference. Teachers can place the flip books in math centers, rotations, tool boxes, etc... Read more about the flip books below.


The ONE Ultimate CUBES Math Strategy Flip Book

About the ONE Ultimate CUBES Math Strategy Flip Book

C.U.B.E.S. math strategy is commonly used to teach students how to deconstruct word problems to make them easier to solve.

Circle all the important numbers, underline the question, box all the important math words, evaluate the important words that you may have left out and eliminate what you don't need, and solve the word problem.

This flip book is a compact way for students to review the steps at home or at school. Plus, I always think providing parents with manipulatives to help their kiddos reinforce what they are being taught is a FABULOUS THING! AND this flip book is not 3rd-grade specific so it can be used for many years.

The ONE Ultimate CUBES Math Strategy Flip Book

Buy the CUBES Math Strategy Flip Book with a Bundle

You can get this flip book in a bundle with FOUR other flip books. I KNOW! A bundle of flip book goodness. Check out the photograph below to see a few of the flip books in the bundle. Plus, a Division Strategies is being added soon (November, 30, 2019).

The ONE Ultimate CUBES Math Strategy Flip Book

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If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.

Follow me on

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Watch my journey on

YouTube!

Follow my journey on Instagram!

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Shop My BEST SELLING Elementary Math Resources

Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Multiplication strategies flip book for elementary math.
Properties of multiplication flip book for elementary math.
Division fluency flip book for 3rd-grade.
Multiplication Strategies task cards for elementary math.
Properties of multiplication task cards for elementary math.
Identifying arithmetic patterns task cards for elementary math.
Arithmetic patterns task cards for elementary math.

You may also like this blog post about my Best-Selling Multiplication Facts Flip Books!

Multiplication Facts Flip Book
Multiplication Facts Flip Book

The Best-Selling Multiplication Facts Flip Book

If you have read any of my blog post at all, you know I LOVE FLIP BOOKS! There is just something about them that students love. Plus, they are great manipulatives + reference tools. Consequently, these best-selling multiplication facts flip book been a big hit and gotten AMAZING feedback.


Multiplication Facts Flip Book for 3rd-grade.

More About the Best-Selling Multiplication Facts Flip Book

The multiplication facts fluency flip books have been constructed to introduce multiplication facts in the order in which I prefer to teach them. This is based on the study of teaching the easiest facts first; 0, 1, 5, and 10. Next, 2, 4, and 8. Next, 3, 6, and 9. Last, the facts for (see the photo above).

Students are asked to say the multiplication sentence then, write the multiplication sentence. In this step you could also encourage you students to use the commutative property to write the multiplication sentence in another way.

The multiplication fluency flip book covers facts 0-10 and recently added by request, facts 0-12.

This multiplication facts flip book is the SECOND BEST-SELLER in my Teachers Pay Teachers store (which is amazing because it is one of my newer resources).

Where to Use the Multiplication Facts Flip Books

Many people use the flip books in interactive notebooks for students to reference when they need them. This is a great idea and, in my opinion, very beneficial.

Alternatively, I personally like the idea of putting them at math center stations and in math toolboxes. The flip books can be just as beneficial as multiplication charts.

**Tip:  The flip books take a bit of time to construct, so make sure you have planned properly. Though, teachers have said the flip books were absolutely worth the time.

Best selling multiplication Facts Flip Book for 3rd-grade.
Multiplication Facts Flip Book for 3rd-grade.

SIGN UP FOR MATH WITH RAVEN NEWSLETTER

If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.

Follow me on

Pinterest

Watch my journey on

YouTube!

Follow my journey on Instagram!

Like me on

Facebook!

Shop My BEST SELLING

Elementary Math Resources

Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Multiplication strategies flip book for elementary math.
Properties of multiplication flip book for elementary math.
Division fluency flip book for 3rd-grade.
Multiplication Strategies task cards for elementary math.
Properties of multiplication task cards for elementary math.
Identifying arithmetic patterns task cards for elementary math.
Arithmetic patterns task cards for elementary math.
Winter multiplication color by number worksheets for 3rd grade
Christmas multiplication color by number worksheets for 3rd grade.
Winter-themed multiplication color by number worksheets for 3rd grade.
Hanukkah multiplication and division color by number worksheets.

You may also like this blog post 

One Epic Multiplication Strategies Flip Book for 3rd Grade

I love flip books! There is just something extremely satisfying about putting together a beautiful + functional manipulative for the classroom. Honestly, that is why I call my favorite flip book the one epic multiplication strategies flip book for 3rd grade. Yes, I'm serious!

Let me tell MORE about WHY:

The multiplication strategies flip book covers: equal groups, arrays, repeated addition, number lines, skip counting.

Each strategy has 3 examples and a definition. For example, equal groups includes a model of 4 equal groups of 4, explains that "4 groups of 4 equals 16", and a number sentence that explains 4 x 4 = 16​.

Consequently, this flip book is the #1 BEST SELLER in my Teachers Pay Teachers store!


Multiplication Strategies flip book for 3rd-grade.

How to use Multiplication Strategies Flip Book

There are many situations that this flip book can be beneficial in your classroom. Next, I will list few ideas, and if you have a brilliant idea that you want me to share, you can leave them in the comments below or tag me on Instagram @mrs.raven.cruz or Facebook Math with Raven with a photograph of how you used them in your class/homeschool. You never know, I may just share your photo.

  • Interactive notebooks
  • Math centers
  • Rotations
  • Small Groups
  • Math Tool Boxes
  • For Intervention

Multiplication Strategies flip book for 3rd-grade.

Sign up for free elementary math resources!

Multiplication by Grouping

The first multiplication strategy is learning multiplication by grouping is the process of separating objects into equal groups. Most commonly when using equal groups, repeated addition is also used. This method is one of the most straightforward ways for students to comprehend the strategy of multiplication by grouping.

As you can see in the example below there are 3 equal groups of 2 cookies. Students can use repeated addition to solve a multiplication problem like the one below.

In the classroom teachers can use manipulative such as; erasers, counters, small blocks, or even drawing on dry erase boards to practice the strategy of grouping and repeated addition.

Teach your student the multiplication strategy grouping using repeated addition

2 + 2 + 2 = 6

Multiplication by Arrays

Second, are arrays. Arrays are an arrangement of objects arranged in rows and columns. 

The arrangement of cookies shown below shows the systematic way to introduce arrays.  The student will first learn a 1 × 4 array, 2 × 4 array, 3 × 4 array, 4 × 4 array, and so on... A larger arrangement of objects can also be broken down into arrays to preform many different types of multiplication, such as properties of multiplication.

Also, making arrays in the classroom can be fun AND engaging for students. Using colorful objects, such as; erasers, counters, and blocks to build arrays can keep all types of learners engaged and ready to learn. 

1 × 4 

2 × 4 

3 × 4 

4 × 4 

Multiplication by Repeated Addition

Third, is repeated addition. We touched on using repeated addition with grouping above when we grouped 2 cookies in groups of three. Both learning using grouping and learning using arrays are complimentary to each other.

Repeated addition is using what students already know about addition to help them solve a multiplication problem.

3 + 3 + 3 + 3 + 3 + 3 = 18

Multiplication by Skip Counting

Last, learning multiplication by number lines uses the next strategy - skip counting. Skip counting is not just for providing students a way to count faster, it also helps them solve multiplication problems.

Starting at 0 students count in intervals until reaching the desired number. Students can also point out the pattern being used when skip counting.

0, 5, 10, 15, 20, 25, 30...

Multiplication by Number Lines

Fourth, is learning multiplication by number lines. Students will take "jumps" on the number line. These jumps help students solve  multiplication problems by skip counting.

Number lines are an exceptional way to teach number sense as well. 

  2  4  6  8 10.....                      

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You may also like this blog post about 5 Strategies to Teach Multiplication with Ease.

Multiplication Strategies
Multiplication Strategies

Follow me on

Pinterest

Watch my journey on

YouTube!

Follow my journey on Instagram!

Like me on

Facebook!

Shop My BEST SELLING

Elementary Math Resources

Multiplication facts flip book for elementary math.
CUBES math strategy flip book for elementary math.
Multiplication strategies flip book for elementary math.
Properties of multiplication flip book for elementary math.
Division fluency flip book for 3rd-grade.
Multiplication Strategies task cards for elementary math.
Properties of multiplication task cards for elementary math.
Identifying arithmetic patterns task cards for elementary math.
Arithmetic patterns task cards for elementary math.
Winter multiplication color by number worksheets for 3rd grade
Christmas multiplication color by number worksheets for 3rd grade.
Winter-themed multiplication color by number worksheets for 3rd grade.
Hanukkah multiplication and division color by number worksheets.

Cheap Properties of Multiplication Tools to Stop the Agony

I love flip books! I especially love quality flip books that truly help third-grade students comprehend a difficult standard. These flip books are cheap properties of multiplication tools to stop the agony in your centers, etc...

I promise, I am not tooting my own horn! These flip books guide students, step-by-step, through the commutative property, associative property, and distributive property of multiplication.


Properties of multiplication 3rd-grade

Properties of Multiplication Flip Book

As noted above, these flip books guide students through the commutative, associative, and distributive property of multiplication.

First, the definition is written in terms that students can understand.

Then, The students are shown what the definition means.

Next, a tip is given so students further conceptualize what they just read.

Last, the flip books allow students to "try it for themselves".

Where to use the Flip Books

Many people use the flip books in interactive notebooks for students to reference when they need them. This is a great idea and, in my opinion, very beneficial.

Alternatively, I personally like the idea of putting them at math center stations and in math toolboxes. The flip books can be just as beneficial as multiplication charts.

The Commutative Property of Multiplication 

The commutative property of multiplication states that the order of the factors (numbers) does not matter the product will be the same. 

For example:

5 × 7 = 7 × 5

As you can see, the numbers can move, but the answer will be the same.

The Associative Property of Multiplication 

The associative property of multiplication states that the grouping of a multiplication sentence does not matter, the product will be the same. So in other words, the parenthesis can move on each side of the number sentence, but the numbers do not change places.

For example:

3 × (5 × 7) = (3 × 5) × 7

Notice how the parenthesis are what changes the grouping in the multiplication sentence. The product will in fact be the same, and the numbers DO NOT change places.

The Distributive Property of Multiplication 

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first can be distributed to both of those and multiplied by each separately, then adding the two products together.

First, we "break-up" one of the factors to make it easier for 3rd-graders to multiply. If a student is given the multiplication sentence 8 × 16, it is much easier for the student to "break up" the factor 16

For example:

8 × (10 + 6)

Next, the student will distribute the 8 to the addends and write a new equation.

(8 × 10) + (8 × 6)

Last, solve the equation.

80 + 48 = 128

As you can see, "breaking-up" the factor 16 and distributing the 8 to each addend made the problem much easier to solve. A student does not necessarily have to break 16 up into 10 and 6, but it most cases it is the logical way.

You may also like this Properties of Multiplication Task Card blog post.


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Properties of Multiplication Task Cards

What's so great about these properties of multiplication task cards? Personally, I think it is because they come with interactive notebook inserts. Plus, they break down the commutative, associative, and distributive property down for third-grade students to understand.

If you use the task cards for math centers, you can print them on card-stock and laminate. These two steps help with durability and in turn save money because you don't have to reproduce them so often. Alternately, if you don't print them on card-stock, you can always print them on colored paper.

On an opposite note, the properties of multiplication can be a hard task for third-grade students. Third-grade is a hard year (in my professional opinion) for math altogether. Consequently, this is why I worked hard to develop an engaging and useful resource to help reinforce teachers' properties of multiplication curriculum in third-grade.


Properties of multiplication task cards for third-grade math.

The resource comes with the three required properties: commutative, associative, and distributive, as well as an interactive notebook insert.
Properties of multiplication task cards for third-grade math.
Properties of multiplication task cards and interactive notebook for third-grade math.

The Commutative Property of Multiplication

The commutative property of multiplication states that the order of the factors (numbers) does not matter the product will be the same. 

For example:

5 × 7 = 7 × 5

As you can see, the numbers can move, but the answer will be the same.

Properties of multiplication task cards for third-grade math.
Properties of multiplication task cards for third-grade math.

The Associative Property of Multiplication

The associative property of multiplication states that the grouping of a multiplication sentence does not matter, the product will be the same. So in other words, the parenthesis can move on each side of the number sentence, but the numbers do not change places.

For example:

3 × (5 × 7) = (3 × 5) × 7

Notice how the parenthesis are what changes the grouping in the multiplication sentence. The product will in fact be the same, and the numbers DO NOT change places.

Properties of multiplication task cards for third-grade math printed on colored paper.
Properties of multiplication task cards and interactive notebook for third-grade math.

The Distributive Property of Multiplication

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first can be distributed to both of those and multiplied by each separately, then adding the two products together.

First, we "break-up" one of the factors to make it easier for 3rd-graders to multiply. If a student is given the multiplication sentence 8 × 16, it is much easier for the student to "break up" the factor 16

For example:

8 × (10 + 6)

Next, the student will distribute the 8 to the addends and write a new equation.

(8 × 10) + (8 × 6)

Last, solve the equation.

80 + 48 = 128

As you can see, "breaking-up" the factor 16 and distributing the 8 to each addend made the problem much easier to solve. A student does not necessarily have to break 16 up into 10 and 6, but it most cases it is the logical way.


WAIT! You may also enjoy the distributive property of multiplication freebie in this blog post
Distributive property of multiplication task cards with photo box.
Distributive property of multiplication task cards for 3rd-grade.

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If you enjoy getting FREE quality elementary math resources + tips in your email-box, sign up for my monthly freebies and newsletter below. The freebies are EXCLUSIVE to my email subscribers.