5 Minutes a Day to Math Fact Fluency

After many years in the primary classroom, I've finally developed a sure proof system for math fact fluency. 

 

Math fact fluency is all about memorization. 

Before this can happen, the children need to have a basic understanding of what it means. A child can't memorize 5+2=7 Unless they understand they are joining a set of 5 items to a set of 2 items and will end up with 7 items. Once they have that understanding, they can start the memorization process. Once the facts are fluent, the related math concepts will flow far more easily!

Yes, rote memorization is NOT the most fun part of learning.

Yes, it takes work, and some students really struggle, but we know they're all different and can help them be successful at their own levels.

Here are some suggestions for math fact fluency!

There are 200 Addition and Subtraction facts to be memorized. There are also 200 Multiplication and Division facts to be memorized. Children can be easily overwhelmed if given that many facts all at once! 

Give them a pattern of facts to learn at a time. Research tells us children learn best by fact families. 

 

Each child should have a group of facts they are working on, but also a group of facts they know, and don't want to forget! Make sure they spend time reviewing the old facts as well as learning the new bunch! 

 

Be right up front with the students. Talk about what memorization is, and how they need to do the work to memorize the facts. Share the differences between automaticity and "counting on fingers," or "figuring it out in your head." (I don't believe counting on fingers or mental math to be bad, as they are part of the process! However, we hope to get the kiddos to full automaticity eventually!) 

Talk to them about what has helped you when you had to memorize something, and encourage them to share their own memorization experiences. We're all different, but sharing ideas will help everyone! (Isn't that our goal? Teaching children to help each other so we are all successful?)

Or as I call it in my classroom, "out soft." That means, loud enough to hear yourself, but not loud enough to disturb your classmates. Verbalizing the whole equation, not just the answer, makes an enormous difference in the learning process!

 

Practice with friends Children are social. Practicing with a classmate makes practice more fun. Some tend to be a little competitive: let that work for them, as long as everyone is happy about it. Plus, children learn little tricks from each other. (Yes, I've learned a lot of little tricks from listening to my students!)

 

Timed tests can be motivating for many, but there are others that "choke" with that stress. You know your students better than anyone. I give timed tests once a week, but if I see any signs of stress, I'll pull that child aside and work with them. I make it fun, but when one-on-one, I can clearly see if a child is counting on fingers, pausing to figure it out in their head, or truly has the facts memorized. No matter what, I make sure it is a positive experience with lots of praise for the things the child is doing correctly!

 

When I feel a child is ready to move to the next level, before school starts, I'll put the next level of practice cards on their desk, to be cut out and sorted. You'd better believe there are shreiks of delight when they are found! I'm sure you know plenty of other ways to celebrate their successes as well!

I spend time at the beginning of the school year setting routines. There are several ways the facts can be practiced: everyone practice on their own, practicing as part of math rotations, small group games, practicing on computers or devices, practicing with a teacher or adult helper, and so on! I usually teach the routines using "easy facts" before we get to the tougher ones. Once the routines are set, they're good to go!

 Once a student has proved mastery of all the levels, of addition and subtraction, I might have that child review all the levels again. Another option is to move onto multiplication and division. Although mastery of these facts isn't necessary for first or second graders, those students who master addition and subtraction quickly are usually quite ready for the upper levels. (Just make sure they understand what it all means!)

Another option: have them work with others. Perhaps it's because my dad was a football coach, but I've always felt it's our job to look out for the whole "team," and that concept is well instilled in my students. We have not succeeded until we have all succeeded!

These are my foolproof systems for both levels. I swear by these materials! I've used them for years and found them to be successful (and loved) by both students and teachers. 

Addition and Subtraction Facts: 

Fact Fluency System for Addition and Subtraction: The Bundle 

Multiplication and Division Facts: 

Fact Fluency System for Multiplication and Division: The Bundle

or get them both in this bundle: 

 Math Fact Fluency System: the Bundle

Try the first level of each system for free!

Math Fact Fluency Practice Activities and Assessments: Level One +1 Fact Families

Math Fact Fluency Practice Activities and Assessments: Level One X1 Fact Families

 

Developing Multiplilcation and Division Fact Fluency

Developing Fact Fluency can be quite a challenge. 

In fact it can be overwhelming for students!

Why? Well, to start with, there are 100 multiplication facts, and 100 division facts!

That's a whole lot of facts to learn! Take a look at this:

There they are, all 100 multiplication facts.

And the 100 division facts.

It just doesn't work to just hand these lists to the kiddos and tell them to learn them all! 

Here are some ideas to help ease this heavy load!

Before the children start to work on memorizing facts, it's essential they understand what multiplication and division are! I like to spend plenty of time with manipulatives, as well as making and drawing arrays. I make sure they understand that 6 x 5 means 6 sets of 5. They use manipulatives to show six groups of 5 (as in the picture: 6 rows of cups, with 5 cups in each row), and draw an array with 6 sets of 5. When they have done a whole lot of this, and have a deep understanding of what it all means, then they can move on to fact fluency.

As you can see from the list of all the facts, it's just too much to assign them all at once! It's best to break them down into smaller groups, and best to create those groups by patterns. I recommend starting with the "x1 facts," which would be anything with 1 as a factor, and the related division fact. 

Research on learning has taught us that this is how the brain learn best. 

Each family has a total of 4 facts that can be created with the same combination of manipulatives. (Doubles only have 2 per family.)

This can be seen in the visual below:

The upper left shows 5 sets of 6. (5 x 6 = 30) The upper right shows 6 sets of 5 (6 x 5 = 30) The lower left shows 30 sorted into 5 equal sets (30 ÷ 5 = 6) and the lower right shows 30 items sorted into 6 equal sets (30 ÷ 6 = 5).

Studying the fact families really makes the whole thing easier! If they learn one combination, they've got 4 facts!

Just for fun, here's how the doubles work. 

No matter how you turn the sets, it's still 5 sets of 5, so there's really only 2 possible combinations!

Research tells us that repeating the complete information orally helps the memory. They don't necessarily like to do this, but they'll admit it really helps them remember the facts!

If you've ever had to learn a new skill, I'm sure you've seen the value of practicing a little bit every day. Five minutes a day for 5 days will have more value than 30 minutes of practice once a week! Less time, more value! I work my fact practice into my math rotations in a variety ways: games, practice alone, practice with a partner, or practice with an adult.

Children develop their own tricks to help remember basic facts, and when they talk, they share those tricks! That makes everyone smarter!

Here's a trick I learned from my students! They've got plenty of ideas like this, that are worthy of conversation!

Most of the children will have a good deal of success with the above 6 strategies, but if they don't, don't let them fall through the cracks. I suggest doing some sort of assessment once a week, and keeping a record of how they do. Even when they don't show mastery, they should be showing growth each week. If they don't, something needs to be done. 

Here are some suggestions:

1. Limit the amount of fact families. One or two fact families is enough for some children.

2. Work one on one with that student: 5 minutes a day.

3. Assign an adult to work one on one with that student.

4. Send home a set of facts to be practiced with a parent.

The above would be in addition to your regular routine. 

Here's a freebie set of practice and assessments for the x1 Fact Families:

Fact Fluency System Level One: x1 Fact Families

 

It contains practice cards (with the answers to be printed on the back) 2 assessments, and access to Boom Learning Digital Task cards, which the children absolutely LOVE! And it's free!

If you're interested in just the Boom Learning format,that's a freebie, too!

If your students have success with this freebie, here's a link to the whole bundle: Fact Fluency System for Multiplication and Division: The Bundle

Here's a link to a similar bundle for addition and subtraction facts: Fact Fluency System for Addition and Subtraction: The Bundle

Plus, a chance to try out this system with this freebie: Fact Fluency System for Addition and Subtraction: Freebie

Want to read more about fact fluency and the brain? 

Here are a couple more blog posts with more information!

Making Addition and Subtraction Facts Stick

Ten Brain Tricks for Learning Math Facts