One of the most common struggles I hear from parents and teachers is that kids still don’t know their multiplication facts. Maybe you know this struggle all too well, especially if you teach 4th or 5th grade. At that point, you don’t have time to teach multiplication, because you’re required to teach division and fractions and decimals. Today I want to share some tips for building a solid foundation as well as a simple plan for how to teach multiplication facts with mastery, without flash cards or tricks!
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How to Teach Multiplication Facts
Learning all those facts may seem overwhelming and daunting, but it doesn’t have to be! Here are some simple tips to help you feel confident and more than that, give your kids confidence.
1. Begin with a Conceptual Understanding
First of all, please do not begin a study of multiplication by jumping into memorization. Yes, you can get your kids to that point, where they are confident and fluent with their facts, but you need to dig a little deeper first.
Begin by giving them a conceptual understanding.
What does that mean? It means they can visualize and understand what 4×5 means and represents, not just that the solution is 20.
I begin by helping make the connection between repeated addition and multiplication. Then I move on to equal groups.
In other words, 4 + 4 + 4 + 4 + 4 is equal to 5 x 4 = 5 groups of 4.
An array is simply a visual model of this fact, as 20 objects are arranged into equal rows and columns.
These early introductions should be happening as early as first grade and really explored in depth in 2nd grade.
Then ideally, when kids enter third grade, they already understand what they question is asking when it involves multiplication.
My Introduction to Multiplication Collection is designed to build a conceptual understanding and foundation so that kids can then begin working towards memorization.
The whole bundle includes skip counting, hands on lessons PLUS simple, low-prep games to practice and build fluency.
You can also use LEGO bricks to model multiplication and deepen understanding.
Learn how to teach multiplication & division with LEGO here.
2. Don’t Learn the Multiplication Facts in Order
Once your kids have a solid understanding (and hopefully already see the relationship to division), you can begin working on learning all the facts.
While it may be tempting to plow through all the facts from 1 to 10 one at a time, drilling with flash cards, that’s going to make the process more difficult.
Why? Well, because certain facts are related to each other and can build on one another in a logical way that will help your kids not just memorize, but understand.
And when kids actually understand what they’re doing, fluency and retention will be greater.
3. Teach Logical Strategies Based on Concrete Understanding
Finally, as you’re introducing multiplication facts, don’t simply recite a group of facts over and over. Teach strategies based on other facts kids already know.
This will not only help them to learn and retain them, but will deepen their understanding of numbers and operations.
For example, a tricky fact to remember is 6×8. But if kids understand that multiplication represents equal groups, they will know this means 6 groups of 8.
Using this knowledge, they can start with an easier problem, 5×8, and then add another 8 to it.
In other words, if I know that 5 groups of 8 is 40, then 6 groups of 8 is one more 8, or 48.
There are lots of other meaningful strategies that will develop kids’ number sense rather than teach them silly tricks or rote memorization without meaning.
Tackling the Multiplication Facts in a Systematic Way
So after you start with concrete, conceptual exploration and your kids are ready to really master those facts, what comes next?
This is where the new book from Kate Snow comes in.
Sure, you could take these tips and come up with your own plan for teaching all the facts, and researching different strategies, but Kate has already done all the work for you!
Kate is the author of Multiplication Facts That Stick, a simple system for taking kids through the facts one list at a time to build confidence and truly master them.
In this 10 week plan, every lesson is mapped out so you know which facts to teach when and how to teach them.
And although she starts with the 1’s and 2’s, the facts are not learned in order.
She takes kids through all the facts in a logical order, teaching and learning them with lots of visuals and meaningful strategies so that kids finish with confidence.
For you as the parent or teacher, each lesson and all the materials you need (other than dice and playing cards) is completely planned out for you.
Each week of the plan focuses on specific facts, with teacher scripted lessons, and simple, easy to play games to reinforce what they’re learning.
I plan to use this with my daughter this year as she starts 4th grade. Although she’s spent lots of time learning and exploring multiplication, I want to be sure she is fluent and confident.
Practice and Review Multiplication Facts with Fact Fluency: Mastering Multiplication App on iTunes:
Who is Multiplication Facts That Stick For?
As Kate mentions in the book, it is for:
children who have already studied multiplication in a math program, but have not yet memorized the multiplication facts. It is not meant to be your child’s first exposure to multiplication.”
So this is perfect for kids in 3rd or 4th grade who are already familiar with the concept, but are ready to really retain them and know them automatically.
By going through this system, with daily recitation, visual models, simple games and lots of review, your kids are sure to master the multiplication facts once and for all.
What About Division?
You may also be thinking, but what about division? It’s so much harder than multiplication! How do I help my kids tackle that!?
Well, first of all, multiplication and division are inverse operations. This means they are intricately related to each other, and so if your kids fully master their multiplication facts, they will be able to master division as well.
It’s not really so much harder, like so many believe. (At least not when you’re talking about single digit facts within 100).
But to help you teach division in a logical way (and reinforce those multiplication facts as well), you can include Division Facts That Stick into your lesson plans.
This is similar to the multiplication system, as each week is planned for you and teaches kids with visuals, games and practice.
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