Multiplication Archives - Raven Cruz

Category Archives for Multiplication

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 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

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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

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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-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.

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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.

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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.

Distributive Property of Multiplication Freebie

I love getting free quality math resources! Seriously, being a teacher can be expensive! Plus, we love to spend money on our students so when we can save money -- we need to do it. Not only will this distributive property of multiplication freebie for third-grade math save you money, it is truly a helpful freebie.

The properties of multiplication are hard enough to teach, I want to provide something engaging + useful for teachers to use with their curriculum. The task cards work great in math centers, math rotations, etc...

By the way, if you like free resources, sign up for my email list. I love giving my fellow teachers and homeschool parents free resources and tips for their elementary classroom. My email list subscribers get exclusive freebies that aren't available anyone else.


Distributive property of multiplication task cards for 3rd-grade.

The Distributive Property of Multiplication Task Cards

You can grab this free distributive property resource in my Teachers Pay Teachers store. The free resource is a sneak peek into what comes in the full Properties of Multiplication Task Card product.

Distributive property of multiplication task cards for 3rd-grade.
Distributive property of multiplication task cards for 3rd-grade.

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 blog post about the full Properties of Multiplication Task Card resource

Properties of multiplication task cards for 3rd-grade math.
Properties of multiplication task cards for 3rd-grade math.

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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.

Back-to-School Multiplication Color-by-Number Worksheets

Back-to-school season can be stressful! With all of the classroom and homeschool prep, we as teachers need something easy and fun we can give our students that doesn't require a massive amount of prep. My personal favorite "go to" worksheet to have on hand are these back-to-school multiplication color-by-number worksheets for third-grade and fourth-grade math.

Also, one of the biggest sellers in my Teachers Pay Teachers store are multiplication color-by-number worksheets.


Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade

A FUN Multiplication Color-by-Number Worksheet

These multiplication color-by-number worksheets are ALWAYS a big hit in my classroom! Students can sharpen their multiplication fluency and automaticity skills. Plus, 3rd-graders like to color too!

Well, at least my students have always enjoyed activities that allow them to color. Upper 

Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade
Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade

Multiplication Mystery Pictures, too!

Multiplication mystery pictures are a little different than color-by-number worksheets in that students can't tell what the picture is going to be. Also, mystery picture worksheets are more rigorous than color-by-number worksheets in that they have A LOT more multiplication problems.

Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade
Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade

Use the back-to-school multiplication color-by-number worksheets in math centers, math rotations, sub-tubs, etc... They are a fun and easy way for students to practice multiplication in 3rd and 4th-grade.


You may also like these color-by-number task cards!

Personally, I am always trying to find NEW WAYS to excite students. These task cards fit in a 4" by 6" photo box. Use them at math centers, math rotations, or just for practice!

Click on the photographs to see them now!

If you enjoy task cards, you may enjoy this post.

Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade
Start your back-to-school season off right with these color-by-number multiplication worksheets for 3rd-grade and 4th-grade. #thirdgrade #fourthgrade

10 Multiplication Worksheets for Summer Practice

10 Multiplication Worksheets for Summer Practice

Whether the summer season for you is 3 months or your school is year round, students still need to practice multiplication fact fluency. Multiplication worksheets are a great way for students to keep their fluency sharp and reduce the learning gap to the next grade. 

Below I have compiled a list of 10 multiplication worksheets for summer practice  + activities that your students or homeschool students will love. They are complete with customer reviews, start ratings, and photographs.

Multiplication Worksheets, Times Tables, & Task Cards

These multiplication worksheets are perfect for 3rd-graders to practice fact fluency over the summer.

4th of July Multiplication

First, I LOVE this 4th of July Multiplication spread! Each resource was specifically developed for summer multiplication fluency practice and have been a big hit! Feedback for this resources has been super helpful!

To keep this post compact and easy-to-read, I won't go into big detail about each of these bundles. You can find the links above or click on the photograph that you want to learn more about.

Oh my goodness! Combining math and history? Yes, please. I really love this resource. It's so original and comprehensive. My students are going to love learning more about the 4th of July while playing and solving problems.

--Happy Customer

This product is so well put together. It's full of so many amazing worksheets for my students to use to practice their multiplication facts!




--Happy Customer

Fact Family Game and Task Cards
Multiplication Games, Color-by-Number, and Mystery Picture Worksheets
Fact Families Worksheets, Task Cards, Color-by-Number, and Mystery Pictures

Summer-Themed Multiplication Activities

The summer-themed multiplication bundle below comes with multiplication fluency worksheets, task cards, and a product game. Purchase the bundle and have it bound (like I did) to keep all the activities together for your kiddo.

It's hot off the press so it does not have feedback as of the date of this blog post. Summer Fun is an a pretty special bundle though, I can vouch for that.

Click on the photograph to download the preview to see what's included. 

Multiplication Task Cards and More...

Next, let me tell you more about task cards. Task cards aren't worksheets per say, BUT they are equally easy to prep and engaging. Unless you're extra like me... I like to print them on card stock + laminate + buy cute containers to store them. 

Let me get to the point. Task cards can be less intimidating for your students because they are dealing with one problem at a time. Students can record their answers on a recording sheet and move to the next task card. 

Also, it is SUPER EASY to differentiate task cards! You can pull out the task cards that are too easy or difficult for your students.

I have listed an AMAZING set of task cards for 3rd-grade math below. Feedback and photographs have been provided for your viewing or you can click on the pics to visit the resource itself.

I can’t seem to pick my jaw up off the floor! This bundle is PERFECTION - it’s absolutely amazing! You are truly an amazing teacher and designer of products. This bundle comes with everything a teacher could need for enhancing multiplication skills! Thank you so much!


--Happy Customer

Wow, this bundle is AMAZING! It has everything you need for multiplication and division practice for the whole year, and I love how engaging the interactive notebook activities are. Thank you for the super useful resource!

--Happy Customer

The Systematic Approach with Multiplication Strategies

In the beginning trying to get students to memorize multiplication facts is not the most successful route to take. Giving students a good base to work off of will generally prove to be more successful in the end. Students need good number sense skills and to truly understand what multiplication means before other activities should be introduced..

How do you start? Equal groups or grouping is the first step you should introduce when using multiplication strategies. Grouping should be followed by arrays, repeated addition, skip counting, and number lines.

Now, why didn't I introduce this resource first? Well, to be honest, I took into consideration that your student has most likely been introduced to the strategies of multiplication before you began to browse for better things. I felt the need though, to fit this in, just in case the reader is super ahead of the game!

Below are photographs of a resource that provides students with an engaging way to practice the 5 strategies of multiplication. The resource is super comprehensive and can also be used as an interactive notebook. With a phone/tablet them it is meant to keep students excited + engaged. This resource is a best seller with great feedback. Check out the photos and read what people are saying!

I could not be more satisfied with this product! It is packed with super engaging resources that my students love and truly learn from! 

Tana W.

satisfied customer

Fantastic!! Such a big hit! Letting other 3rd grade teachers in my building know where they can find it! Thanks!


Karen H.

satisfied customer

These operations and algebraic thinking task cards are for third grade math.

5 Strategies for Teaching Multiplication With Ease

There are 5 multiplication strategies I use for teaching multiplication with ease. These multiplication strategies include; grouping, arrays, repeated addition, skip counting, or number lines

Read more about the multiplication strategies below. Also, see my resource that compliments theses strategies.

Use these 5 strategies to teach your students grouping, arrays, repeated addition, number lines, and skip counting.

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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Resources to Teach Multiplication

In conclusion, the 5 strategies to teach multiplication with ease include grouping, arrays, repeated addition, skip counting, and number lines.

I offer several resources in my store that help teach these strategies. Browse the photographs below - each photo is hyper-linked to that resource. You can also buy them bundled in Multiplication Strategies Bundle and save $4.

Buy the BUNDLE and SAVE!

Use these task cards to introduce the 5 strategies of multiplication in your third grade math class. Aligns great with common core and other standards.

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