Multiplication Archives - Page 2 of 2 - Raven Cruz

Category Archives for Multiplication

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.

You may also like this blog post 

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Properties of Multiplication Worksheets for 3rd Grade

Properties of multiplication for 3rd-Grade math, in my humble opinion is often times more complex than actually memorizing math facts. The issue ISN'T that the properties of multiplication are MORE CONFUSING, IT IS that teachers fail to give the students what they need to UNDERSTAND the properties.

No, I am not dogging anyone's teaching style. In some cases for example, I have observed that certain teachers may not understand the properties themselves. I'm not lying, I have stumbled across several resources that explained the associative property COMPLETELY WRONG

Let me clarify, I am not writing this blog post to talk about teaching styles and will touch on this subject in a later blog post. However, I do want to point out that if you DO NOT UNDERSTAND the concept before you teach, your students will be left in the same boat.

Properties of multiplication worksheets for third grade featuring the

Properties of Multiplication Worksheets for 3rd Grade

Below are products I have created to teach each the properties of multiplication. You can read more about each resource at the bottom of this post.

If you aren't interested in reading the post and just wish to go directly to the resources you can click on the pictures below to go to that specific resource.


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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.

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.

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.


Properties of Multiplication Worksheets 3rd Grade

Commutative Property of Multiplication 3rd Grade Worksheets
Associative Property of Multiplication 3rd Grade Worksheets
Distributive Property of Multiplication 3rd Grade Worksheets
Properties of Multiplication 3rd Grade Worksheets
Bundle

You can purchase each resource separately or as a bundle. The bundle contains every worksheet that is included in the single products at a reduced price.

Each resource has a definition and explanation page that breaks the property down in 3rd-grade terminology. Again, each resource comes with a word search that contains common vocabulary needed before introducing the property. For all properties there is also a matching worksheet, great for practicing and reinforcing the properties of multiplication.

The worksheets are designed specifically for 3rd-grade math - classroom or homeschool use. They specifically meet the standard CCSS.MATH.CONTENT.3.OA.B.5 or 3.OA.B.5.

Thanks for stopping by! You may be interested in this post as well.

--Raven Cruz

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Fall Multiplication Games

Pumpkin Spice is in the air and so is the chanting of math facts. As teachers and homeschoolers we are always looking for fun affordable ways to add quality resources to our teacher arsenal.

Are you looking for fun multiplication games for the fall season?

If so, you have clicked on the right blog post. What's so GREAT about these games? I have composed a list:

  • These games are SUPER simple to prep!
  • Plus, they are easy to differentiate.
  • Candy corn colored multiplication charts are included.
  • The games come in 1-10 fact practice or 1-12 facts.
  • They are SUPER affordable!
  • You can buy in a bundle and SAVE!

Read more about the games below.

Multiplication, Fact Families, and The Bundle

Halloween Multiplication Games and Fall Multiplication Games
Multiplication Fall-Themed Game

Practice multiplication facts 1-10 or 1-12.

What's Included:                                                   1- Facts 1-10 Spinner Game                                 1- Facts 1-12 Spinner Game                                 Candy Corn Colored Multiplication Charts       Candy Corn Spinner Pieces                                                                              

Fact Families Fall-Themed Game

Practice Fact Families 1-10 or 1-12.

What's Included:                                                   1- Facts Families 1-10 Spinner Game                 1- Facts Families 1-12 Spinner Game                 Candy Corn Colored Multiplication Charts       Candy Corn Spinner Pieces    

Multiplication and Fact Families Bundle

Practice multiplication facts and division 1-10 or 1-12.

What's Included:                                                   1- Facts 1-10 Spinner Game                                 1- Facts 1-12 Spinner Game                                 1- Facts Families 1-10 Spinner Game                 1- Facts Families 1-12 Spinner Game                 Candy Corn Colored Multiplication Charts       Candy Corn Spinner Pieces    

Where can you find them?

You can click on the pictures above OR they are available for purchase in my Teacher's Pay Teachers store Raven R Cruz. I have several multiplication resources in my store so check them out!

Thanks for stopping by!

Multiplication and Division Centers for 3rd Grade

Multiplication and division can be tough! I honestly wish I would have known about multiplication and division centers for 3rd grade sooner! My first few years teaching, I struggled finding quality resources to teach multiplication and division fluency. Teachers Pay Teachers was in the early stages and I found a few free resources to implement.

I gave my students timed test Monday, Wednesday, and Friday! I am not dogging on timed tests, merely stating my lack of preparedness for teaching math. Also, I was provided a set of workbooks and textbooks that had a copyright date of 1997. Yeah, my first year teaching was in 2012, so you do the math.

There are two things that I learned about later that truly would have helped me provide a more quality education to my math students in my first two years of teaching. I am SUPER embarrassed to admit what I just shared, but I truly did not know any better.

Which leads me to the two things I wish I would have know about my first year teaching; math centers and guided math. These two things would have CHANGED my math teacher world! 

At the current time I have not made any of my own guided math resources, but I have been working on things to use for math centers.


multiplication task cards for third grade

How I Changed My Math Game

As teachers and home educators it is important to find effective and engaging ways to reinforce multiplication and division fluency outside of timed-worksheets. Math centers are a great way to make multiplication engaging and start building number sense early.

Math centers and math rotations are a type of independent practice with a game, technology, activity, or set of task cards. During this time students have a chance to apply the skills and strategies that they learn during guided practice.

Most teachers are probably familiar with math centers and how to implement them in their classrooms. However, new teachers and home educators that I know don't tend to understand what they are (with the exclusion of a few, especially former teachers).

For that reason, my goal is to encourage more new teachers and home educators to start using math centers in their classroom/home. Also, to provide both teachers and home educators an original and creative multiplication and division resource to use in their math centers. Well, that and offer a few ideas on cute storage ideas. You know, that need to organize is in all of us. It's just an educator thing!

strategies of multiplication task cards on astro brights paper
multiplication wheel task cards

Multiplication and Division Task Cards EVERYWHERE!

No, not really! The photograph truly does look like I have task cards everywhere, though. 


Here, let me give you an overview of what is included in my Operations and Algebraic Thinking Mega Bundle for 3rd-Grade. You can read more about the standards here.

phone themed multiplication charts
multiplication and division within 100

What Comes in the Multiplication and Division Mega Bundle?

Operations and Algebraic Thinking Mega Bundle

  • Strategies of Multiplication Flip Book
  • Multiplication Fact Trackers 
  • Phone-themed Multiplication Charts Task Cards
  • Equal Groups & Multiplication Task Cards
  • Arrays & Multiplication  Task Cards
  • Repeated Addition & Multiplication  Task Cards
  • Skip Counting & Multiplication Task Cards
  • Using Number & Multiplication Lines Task Cards
  • Multiplication Fluency Task Cards 1-10 or 1-12
  • Multiplication Fluency Flip Book Facts 1-10
  • Interpreting Whole Number Quotients Task Cards
  • Multiplication Within 100 Word Problems Task Cards
  • Determining Unknown Whole Numbers in Multiplication and Division Task Cards
  • Arithmetic Patterns Task Cards
  • Properties of Multiplication Flip Book
  • Properties of Multiplication Interactive Notebook & Task Cards
  • Division of Unknown Factors Task Cards
  • Fact Families Task Cards
  • Division Fluency Task Cards
  • C.U.B.E.S. Math Strategy Flip Book
  • Multiplication and Divide Within 100 Task Cards
  • Two-Step Word Problems and Equations Task Cards
  • Identifying Arithmetic Patterns Task Cards
  • Multiplication Wheel Task Card
  • Division Quotient Maze Task Cards
  • School-themed Multiplication Color-by-Number Task Cards
  • School-themed Division Color-by-Number Task Cards
properties of multiplication task cards and interactive notebook
division task cards
two-step word problem task cards
arithmetic pattern task cards for 3rd grade

What Objectives do the Task Cards Cover?

Represent and solve problems involving multiplication and division.

  • Interpreting products of whole numbers.
  • Interpreting whole-number quotients of whole numbers.
  • Using multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
  • Determining the unknown whole number in a multiplication or division equation relating three whole numbers.

Understand properties of multiplication and the relationship between multiplication and division.

  • Applying properties of operations as strategies to multiply and divide.
  • Understanding division as an unknown-factor problem.

Multiply and divide within 100.

  • Fluently multiplying and dividing within 100, using strategies such as the relationship between multiplication and division.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

  • Solving two-step word problems using the four operations. 
  • Identifying arithmetic patterns, and explaining them using properties of operations. 
multiplication fluency flip book 3rd grade
math flip book bundle for third grade
color-by-number multiplication task card 3rd grades
color-by-number division task cards 3rd grade

I Love Teacher Storage!

Most noteworthy, you can see from the photographs above, I use photo boxes to store my task cards. This helps me keep my task cards organized in order of what I will use next. I personally use the cases from Michael's to store the photo boxes. Now, my task cards are organized and easily tuck away when I don't need them.


My smaller sets of task cards fit perfectly in these Dollar Tree lock boxes.


Storage is not TRULY pertinent to this blog post, but I love to share my knowledge and PLUS, everyone asks me what I am using in my photographs.
convenient task card containers
convenient task card containers for multiplication
Last, if you are interested in multiplication and division, you will also like this article.

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