Five multiplication strategies that I use when teaching multiplication include; equal groups or grouping, arrays, repeated addition, skip counting, or number lines. The strategies help students with their multiplication fluency, as well as break down a
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.
2 + 2 + 2 = 6
The second multiplication strategy 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
The third multiplication strategy is 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.
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.
Fourth, there 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.....
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...
Check out the many resources in my Teachers Pay Teachers store that help teachers provide FUN ways to teach multiplication. A few of my recommendations are listed below. The resources are broken down into volumes to help teach your students systematically.
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.
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.
The commutative property of multiplication states that the order of the factors (numbers) does not matter the product will be the same.
5 × 7 = 7 × 5
As you can see, the numbers can move, but the answer will be the same.
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.
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 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.
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 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.
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.
If so, you have clicked on the right blog post. What's so GREAT about these games? I have composed a list:
Read more about the games below.
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
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
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
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!
Over the past few months I have worked very hard on a bundle of products to help students with multiplication; more specifically multiplication for 3rd grade. The Operations and Algebraic Thinking task cards cover an array of multiplication problems that hit the Common Core Standards for 3rd grade Mathematics.
Although, I highly recommend Volume 1 for those in 2nd grade that are beginning multiplication and/or further volumes for those that are more advanced. Likewise, those in 4th grade that need more enrichment and reinforcement.
You can click on the photos below to visit my Teachers Pay Teachers store and purchase the products, or you can read more about them below.
If you hang around until the end, you can see how I use these task cards.
Volume 1 hits Common Core standards 3.OA.A.1 and 3.OA.A.3.
This volume includes arrays, grouping, repeated addition, number lines, and skip-counting.
I recommend this volume for 2nd and 3rd graders beginning multiplication. It truly breaks the multiplication strategies down for each method.
Volume 2 hits Common Core standards 3.OA.A.1, 3.OA.A.2, 3.OA.A.3, 3.OA.A.4 and 3.OA.D.9.
This volume has problems that are closely related to questions that would be found on measurement testing.
Volume 3 hits Common Core standards 3.OA.A.2, 3.OA.A.4, 3.OA.B.5, and 3.OA.C.7.
This volume has fact families, division facts, properties of multiplication, whole number quotients of whole numbers, and division of unknown factors.
Volume 4 hits Common Core standards 3.OA.B.5, 3.OA.B.6, 3.OA.C.7, and 3.OA.D.8, 3.OA.D.9.
This volume includes fact families, division facts, properties of multiplication, whole number quotients of whole numbers, and division of unknown factors.
THE BUNDLE of the task cards hits Common Core standards 3.OA.A.1, 3.OA.A.2, 3.OA.A.3, 3.OA.A.4, 3.OA.B.5, 3.OA.A.4, 3.OA.B.5, 3.OA.B.6, 3.OA.C.7, 3.OA.D.8, and 3.OA.D.9.
This version INCLUDES EVERYTHING from versions 1-5.
You can see from the photographs above, the multiplication interactive notebook is extremely versatile. Each card can be used as bell-ringers, turned into flip-books, flip-ables, fold-ables, placed in interactive notebook pockets, and more... The bundle includes EVERYTHING from each individual volume and is packed-full of math-awesomeness.
As I correct and refine, I add new things and make the volumes more efficient. I have truly fallen in love with this this set of task cards - it's a labor-of-love. Again, I truly feel your students will love this as much as me.
You can find the resources by clicking the individual pictures at the top of the post.