Computational Fluency

Computational fluency with whole numbers is an essential goal for school mathematics and forms the foundation for many higher level math concepts. The Common Core State Standards outline the require fluencies in K-5 as follows:

Grade Required Fluency
K
Add and subtract within five
1
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
2
Add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
Add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
3
Multiply and divide within 100. By the end of Grade 3, know from memory all products of two one-digit numbers.
Add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
4
Add and subtract multi-digit whole numbers
5
Multiply multi-digit whole numbers

Fact Fluency Cards


Fact Fluency Cards

This website provides numerous math games and math center activities to provide practice with skills and concepts that are critical to the development of computational fluency. These include estimating reasonable results, developing and practicing accurate and efficient strategies for computing, developing an understanding of the operations, and knowing the basic addition and multiplication facts and their counterparts in subtraction and division. This page provides information on how to use Fact Fluency Cards to support the development of computational fluency. These cards should be used in conjunction with math games and math center activities to provide regular, ongoing practice of basic facts.

How to Create and Store Fact Fluency Cards:
Each set consists of 15 Fact Fluency Cards to develop computational fluency. The front of the card has a label with an equation with an unknown. The back of the card has a label with the complete equation. Each set of fact fluency cards is stored in an index card case  labeled with the set name.

How to Use Fact Fluency Cards:
Students work in partnerships. Partner A holds the pack of Fact Fluency Cards with the problem facing Partner B. Partner B reads the problem aloud and explains his/her strategy if appropriate. If the answer given is correct the card is put in a pile on the table. If the answer given is incorrect Partner A reads the problem and answer aloud and Partner B repeats it twice.

Example:
Tom: Eight plus eight is fourteen
Sam: (reads from back of card) Eight plus eight is sixteen. Say it.
Tom: Eight plus eight is sixteen.
Sam: Again
Tom: Eight plus eight is sixteen.



Fact Fluency Card Storag

The ‘error’ card is then placed back into the deck 2 - 4 spaces behind the front card and the next card is held up. Placing the card close to the front of the deck makes it more likely the student will solve it correctly when it comes up again. Practice continues until Partner B has completed all cards correctly. The students then swap roles. 

Opportunities should be provided for students to review mastered decks on a regular basis (every 5-6 sessions). Once a student feels that they have mastered a set of cards they post their name on the class chart (I am Ready for a Math Fact Fluency Meeting) to show that they are ready to meet with the teacher. If the student successfully completes all cards in the set during their meeting with the teacher they fill in their Fact Fluency Record Sheet and set their next goal.

Fact Fluency Card Labels

Print the labels on adhesive labels (Avery 5160) and stick on blank index cards. Each card should have a problem on the front and the complete equation on the back. If you experience difficulty when printing on the labels check the following:

  1. Verify that you have a current version of Adobe Acrobat Reader. To determine the version of Adobe Acrobat, open Adobe from your desktop or start menu, click on help, and then About Acrobat Reader. If you have a version of Acrobat Reader less than 7.0, we recommend you download a FREE update to your reader from the Adobe Reader download page on Adobe's website.
  2. When in the Preview Labels screen click the Print icon.
  3. Under Page Handling make sure Page Scaling is set to None and Auto-Rotate and Center is not selected.
  4. Click OK.

Addition and Subtraction Labels

This file contains the following labels:
Plus One Facts
Plus Two Facts
Plus Three Facts
Minus One Facts
Minus Two Facts
MInus Three Facts
Facts of Five
Doubles Facts
Near Doubles Facts
Facts of Ten (Addition)
Facts of Ten (Subtraction)
Make Ten 
Make Ten: Subtraction
Back to Ten

Multiplication Labels

This file contains the following labels:
x2 - x 10 Facts

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