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Showing posts with label fact fluency. Show all posts
Showing posts with label fact fluency. Show all posts

Developing Multiplilcation and Division Fact Fluency

Developing Fact Fluency can be quite a challenge. 
In fact it can be overwhelming for students!

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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:

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

There they are, all 100 multiplication facts.

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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!

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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.

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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. 

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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:

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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. 

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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!

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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.

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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!

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!


Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

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:

https://www.teacherspayteachers.com/Product/Fact-Fluency-Practice-Activities-and-Assessments-Level-One-X1-Fact-Families-4407806?utm_source=Blog%20Post%20Developing%20X%20and%20-%20Fact%20Fluency&utm_campaign=Level%201%20Freebie%20


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 (perfect for distance learning!) That's a freebie, too!

https://www.teacherspayteachers.com/Product/Distance-Learning-Multiplication-and-Division-x1-Fact-Families-Boom-Cards-3347198?utm_source=blog%20post%20fact%20fluency&utm_campaign=boom%20M%26D%20fact%20fluency%20Level%201

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!

Developing Multiplication and Division Fact Fluency: Fact fluency is essential for success in mathematics. Here are 6 strategies to help the children develop fluency with multiplication and division facts. There's a freebie, too!

Ten Freebies for Back to School!

Yes, you read that right, that's a full ten back to school freebies!

 
 Ten Freebies for Back to School - These include parent communication, brain breaks, Science, Social Studies, literacy, and math freebies for second grade.

These are  some of the things that will help me through those first busy of weeks of school!


https://www.teacherspayteachers.com/Product/Literacy-Center-Organization-4715661?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Literacy%20Center%20Cards 
Here's a freebie to help organize your literacy centers, including what the children do when they're not with you!


https://www.teacherspayteachers.com/Product/Research-Based-Sight-Word-Task-Cards-Freebie-4697727?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Spelling%20Fun%20Freebie 
We all know those children who struggle to learn sight words. This Research Based Freebie will help!



https://www.teacherspayteachers.com/Product/Addition-and-Subtraction-Fact-Fluency-Freebie-940781?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=add%20and%20subtract%20fluency%20freebie 

This system has helped many children master their basic math facts. This freebie is the first of 8 research based, brain friendly levels toward math fact fluency.


https://www.teacherspayteachers.com/Product/Parent-Communication-Brochure-Back-to-School-OR-September-Edition-4009883?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Parent%20Communication%20freebie 
 
Here's a great way to keep communication open with parents, and give them some information that will help their children be successful!



https://www.teacherspayteachers.com/Product/Fact-Fluency-System-Level-One-X1-Fact-Families-4407806?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Mult%20and%20Div%20Fluency%20Freebie#show-price-update 
Have your students mastered addition and subtraction facts? Move them on to multiplication and division! As with the addition and subtraction facts above, these are research based and brain friendly. This freebie is the first of 8 levels toward multiplication and division fact fluency!
 


https://www.teacherspayteachers.com/Product/August-and-September-Science-and-Social-Studies-Freebie-1977769?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=S%20and%20SS%20august%20freebie
This freebie is a great way to start the year in Science and Social Studies.
 

https://www.teacherspayteachers.com/Product/6-Team-Building-Games-and-Activies-3873797?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Team%20Building%20Freebie 
Looking for some fun ways to get the children comfortable with each other and learn to work together? These Team Building Games are very popular!



https://www.teacherspayteachers.com/Product/Dolch-Warm-Up-Phrases-Pre-primer-level-264900?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Dolch%20Freebie 
 
I use these phrases to help the kiddos warm up for reading groups. These help build fluency!
 

https://www.teacherspayteachers.com/Product/Dolch-Warm-Up-Phrases-Pre-primer-level-264900?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Dolch%20Freebie 
Here's a fun way to get the kiddos thinking about their learning and how they can take charge of their learning.



https://www.teacherspayteachers.com/Product/Back-to-School-Brain-Breaks-Freebie-1343253?utm_source=Blog%20Post%20back%20to%20school%20freebies&utm_campaign=Back%20to%20School%20Brain%20Breaks



This one will help the kiddos get all those summertime wiggles out!


If you find these freebies useful, I'd love if you left some feedback!


I hope these freebies make your teaching life a bit easier!


Ten Freebies for Back to School - These include parent communication, brain breaks, Science, Social Studies, literacy, and math freebies for second grade.


Ten Brain Tricks for Learning Math Facts

I've been fascinated by the brain for years now. I've read about how the brain works, and the best ways to help children learn. I've applied this knowledge into my teaching and have had fabulous results!
 
Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
 


These are some of the things I've learned about the brain!

Let's see how they relate to learning Math Facts!



Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
We know that “Practice Makes Perfect” is a fallacy since we know if a child practices something incorrectly, he learns it incorrectly.  Whatever they practice needs to be accurate so the child learns it correctly.  (I’m sure you know how hard it is to break a bad habit!)  When practicing facts, it's important that the child practices the correct answer. Either have the correct answer on the back of flashcards, or have the child practice with someone who knows the answers!




Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
This goes with the first idea: the kiddos need to know if they're getting the answer correct. If they are not, they need to know right away so they will practice it correctly.



Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
Brains are much more likely to remember something if the learner uses more than one process. If the children are looking at the fact, saying the fact out loud, and moving manipulatives on the tens frame, they are more likely to remember the information than if they just looked at it. Another idea, stating the fact while jumping on one foot, or while doing jumping jacks.


Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
When children work together, they are keeping the brain happy. Social interaction is HUGE when it comes to learning! This is one reason why games are great for learning math facts!



Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
 A little healthy competition gets the blood moving, bringing oxygen to the brain and helping the memory do its thing. This is another reason why games are great for practicing facts!



Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
When the kids practice facts, it's a good idea to put fact families together: 4+7=11   7+4=11   11-4=7   11-7=4   or  3x6=18  6x3=18  18÷6=3  18÷3=6 This really helps the kiddos make the connections in the brain!




Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
If it's possible color code copies of facts by fact families.
The brain really focuses on color, and helps make those connections!




Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
This is why it's not a good idea to give the kiddos too many facts to study at a time. Start with just a couple of families, and build from there!




Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
 It is suggested that children spend 5 minutes a day, every day, rather than a half hour once a week. It's actually less time, but it's more productive!


Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!
 It is recommended that background music is played during practice times. This is a good time for a piece of classic music, not rock music or anything with lyrics. 

Hope this list helps your kiddos learn their facts!



It just so happens I have a set of addition and subtraction facts to practice that follow almost all these brain rules, (you have to supply your own music) and even has a few brain breaks worked in! See here if you're interested: Brain Friendly Addition and Subtraction: Fact Practice and Assessment

Update: Due to popular demand and success with the above set of addition and subtraction facts, I'm made a new version to practice and assess multiplication and division, which you can find here: Brain Friendly Multiplication and Division: Fact Practice and Assessents!

Ten Brain Tricks for Learning Math Facts: These strategies are backed by science, and will help the kiddos with basic math facts!

Making Addition and Subtraction Facts Stick


I've been wracking my brain for years, trying to think of a way to get those basic facts to stick! There is way too much math that depends on knowing the basic facts, so we want the little ones to go beyond the "counting on fingers" or "counting on in your head" stage!
Making Addition and Subtraction Facts Stick: This blog post tells about a system for addition and subtraction facts  that is research based.

We've been using this sequence for learning facts at my school, and I must say, the kids are getting it! We all know it's not a good idea to introduce all the facts at once. There are 200 facts to be learned, and learning them in some systematic way is necessary. My knowledge of brain based learning tells me we need to help the children make connections, use visuals like color and pictures, practice frequently, add a social component, and make it fun. This will all help those facts stick!
 

I've taken 8 basic patterns and made 8 color coded sets of cards to be practiced based on these concepts:  plus one families, plus 10 families, plus 9 families, sums of 10, doubles, doubles plus 1, plus 2 families, and the remaining facts.  The "families" include 2 addition and 2 subtraction facts for each fact.  (For example, 1+8=9, 8+1=9, 9-1=8, and 9-8=1 are all connected.) These connections help children remember! I've even included a game that's connected to the cute little pictures on each card.

Practicing the facts is only half the challenge.  The other challenge is showing mastery.  

I've included assessments with each set.  There are 2 basic assessments with each family. The 2 assessments are both similar. I just thought you'd like a second option so they aren't taking the exact same assessment each time. Each assessment has 5 columns of 10 facts.  I give the children one minute to complete as many facts as they can. (The timing helps distinguish between the kids who know the facts, and the kids who still need to figure them out.) I have found that kids that get 20 - 25 facts in a minute are definitely ready to move on to the next level. (This, of course, is up to you.) Some kids really need a one on one assessment with the cards, as their writing skills just can't keep up with their thinking skills.


Want to check it out? See the image below for the freebie version of the first set along with the assessments. Addition and Subtraction Fact Fluency Freebie!
 

 

How do you help the facts stick?




Making Addition and Subtraction Facts Stick: This blog post tells about a system for learning addition and subtraction facts that is research based and effective!
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