Learning
Math
Facts

I need to add some explanatory text to this page before it is complete. I wanted to get the files posted for download for those teachers who have already been instructed on how to use these files.


The following process allows students to quickly learn their math facts while having fun.

Note: We need to emphasize that memorizing a math fact without a conceptional understanding of the mathematics is not the goal of this method. Many students need to concrete model what is occurring when we add, subtract, multiply, and divide. We suggest that teachers use manipulatives to model these operations and that students practice with the manipulatives until they can demonstrate that they understand the mathematical concepts of these four basic operations. As soon as the student demonstrates understanding of these operations, it is time to put away the manipulatives and work on memorization and speed. (Please do not drill-and-kill by continuing to use manipulatives when no new learning is taking place.)

The key to teaching any skill is to get the student to practice. This process gets students to practice their math facts. They enjoy this process so much that they often request these games and worksheets.

The process consist of a group of simple games that get students to willingly practice their math facts. Daily assessments are given. These assessments determine a student's level so that the student will play the game that will most quickly advance their learning of their facts.


The Games
These games are played with a deck of cards. All face cards and jokers are removed - leaving Ace - 10 in each of the four suits (40 cards). One card of the 40 is turned over and the students (working individually or in pairs) call out the answer. Example: one of the sheets used when adding (Sums) is "7+." The student turns over the card and adds 7 to the value on the card (Aces count as 1). If the student does not know the math fact then its value can be easily referenced on the card. The student who gets the answer first takes the card. 

Students only get one try to get the correct answer. They repeat this process with each of the 40 cards. After all 40 cards have been used the the students recombine the cards in the deck and start again. They continue this drill for no more than three minutes and then change sheets. If the sheets are printed with a different fact on the opposite side then the students can simply turn the sheet over. (This is the quick explanation. A more detailed explanation will follow.)

The 24 game requires much more instruction. More detailed instructions will follow soon.

           .pdf (Postscript Description File) Original MS File Format
Addition
  Sums.pdf
 DoublesAndMiscellaneous.pdf
Sums.xls
 DoublesAndMiscellaneous.doc
Subtraction
Differences.pdf
 
Differences.xls
Multiplication
Multilpes.Multipage.pdf
 
Multilpes.Multipage.doc
Division
We are still working on this.
  
We are still working on this.
24
24 Factor Tees.pdf
  
24 Factor Tees.xls

Place Value

These worksheets are designed to use structure to teach place value through expanded notation. When teaching, be sure to ask the following questions for each digit in the number.

Expanded Notation.1-10.pdf  Expanded Notation.11-20.pdf Expanded Notation.21-30.pdf

 

Assessment

The assessment for this process is a five minute test given daily. Daily test demonstrate to the student that the teacher considers learning the facts an important task. Behind each link below is a .pdf file containing 100 sheets of math facts for the stated operation. Each sheet contains 100 problems. The problems on each page are unique. Mastery requires 95% or higher in 5 minutes. We highly encourage you to use all 100 problems with all grades. Each sheet contains one of each problem in the 1-10 range.  Early grades can be eased into the test by only doing two rows at a time (20 problems) with a 60 second time limit.

These files are a bit large - about 3MB each. I suggest that you right-click and save each file to your hard drive. (Mac users can Ctrl-Click.)

Daily 5 MinuteTests
Addition
Subtraction
Multiplication
Division
Answer Keys - for Student Self Checking
Addition
Subtraction
Multiplication
Division

Multiples - Assessment

Coming Soon.


Tracking Progress

Students graph their daily test results.

           .pdf (Postscript Description File) Original MS File Format
Addition
  Addition Student Record Form.pdf
 
Addition Student Record Form.xls 
Subtraction
Subtraction Student Record Form.pdf
 
Subtraction Student Record Form.xls
Multiplication
Multiplication Student Record Form.pdf
 
Multiplication Student Record Form.xls
Division
Division Student Record Form.pdf
 
Division Student Record Form.xls

The Incentive

When a student demonstrates mastery. They are given an award that is tangible acknowledgement of their achievement. We feed directly to their self esteem. We give them a Texas Department of Mathematics Driver License. The 'Driver License' is personalized with the students picture, name, date-of-birth, height, and eye color. For security reasons use the school's address in the address area. The Microsoft Word files for making the drivers licenses are included below. The teacher will need to type the student information into the MS Word file. 

The teacher will also need to take each student's picture and paste the picture into the template. Helpful Hint: use a piece of light blue cloth as the background for the pictures you take of the students. The light blue cloth makes for a better picture and looks more professional. Second Hint: after inserting the picture (Insert menu in MS Word), the picture properties in MS Word need to be modified in order to easily position the picture. Double click on the picture. The, "Format Picture," dialog will appear. Select the, "Layout," tab at the top of the dialog window. Click on the, "In front of text," option under, "Wrapping style." Click the OK button. Third Hint: Sometimes MS Word has enabled a grid option that causes items to 'snap' to a predefined grid. Sometimes this is very desirable. When pasting the driver license pictures it is usually easier if the grid is turned off. To turn off the grid, select the following menu path starting with the View menu at the top of the template window, View : Tool Bars : Drawing. The drawing tool bar should appear (usually at the bottom of the window). On the far left of the drawing toolbar is the word, "Draw," and a very small triangle pointing down. Click on Draw and a popup menu will display. Click "Grid..." Uncheck the option, "Snap objects to grid," if it is checked. Click the OK button. Fourth Hint: If your page is breaking in the middle of a driver license then adjust your top and bottom page margins using the, File : Page Setup... menu.

There are seven driver licenses, color coded by grade. The grade levels have different requirements listed in the Class field on each license that must be mastered in order to earn the license. The yellow license in the sample above is for 5th grade and the Class field list, "ASMD." These letters stand for addition, subtraction, multiplication, and division. In 5th grade, addition, subtraction, multiplication, and division must be mastered before being awarded the driver license. The second grade license only has, "AS," for addition and subtraction. (We are still working on the requirements for kindergarten.) 

Almost Done
After edits are made on the driver licenses in the MS Word document, print the driver licenses to a color printer. This is more time efficient if you take all of the pictures and do all of the edits at the same time. If you use a high quality paper in the printer you will get a superior product. Many people use plain paper and their driver licenses look fine, too. After printing the licenses, cut them out and laminate the licenses in a plastic pouch. Use a pouch size of 2 1/2" x 3 7/8". Pouches are available at most office supply stores, at Walmart, and through the internet. The Walmart pouches were $2.58 for a pack of 50 pouches (Duck brand UPC-7535332068). The source I use is through EBay: (http://search.ebay.com/_W0QQsassZwinrachQQhtZ-1. 500 pouches for $10.27 +$ 8.75 shipping. If you buy more than 500 pouches there is a discount on the shipping.) 

Texas Department of Mathematics Driver License
           Kinder.Lavender.Literature.doc
1st Grade.Red.doc
2nd Grade.Green.doc
3rd Grade.Blue.doc
4th Grade.Orange.doc
5th Grade.Yellow.doc
6th Grade.Purple.doc