Divisibility Rules

The folded divisibility rule foldable.

Divisibility rules are not a PASS for Oklahoma sixth grade, but it is very useful especially for prime factors which is a PASS. Because it’s just a helpful tool, we only spend one day on it. Here is how I taught it this year…………

To begin, I gave each student a colored sheet of paper. I told them to fold it “Hot Dog” style. They then folded it in half, three times. Open it all up and cut down the creases to make eight “tabs”. The following pictures show exactly how to fold and cut it…………

Start with a piece of paper.
Fold the paper like a "Hot Dog"Fold the paper in half.Fold it in half againand fold it one more timeYou should have eight sectionCut each crease on one side of the foldable

The following are the different divisibility rules that I go over and have them place in their tab book.

Tab 1: Divisibility Rules

Tab 2: Divisible by 2 if:   the number is even

Tab 3: Divisible by 3 if:   the sum of the digits is divisible by 3

Tab 4: Divisible by 4 if:    the number formed by the last two digits is divisible by 4

Tab 5: Divisible by 5 if:    the number ends in a 0 or 5

Tab 6: Divisible by 6 if:     the number is divisible by 2 and 3

Tab 7: Divisible by 9 if:     the sum of the digits is divisible by 9

Tab 8: Divisible by 10 if:    the number ends in a 0

The folded divisibility rule foldable.The inside of the foldable

After writing each tab section on the board, I show a couple of examples that I have them write in their tab book also.

The students were grouped in pairs. I gave each group a “dice in dice” dice. I drew a table on the board and had them copy it on a clean sheet of paper. They were to roll the dice. The outside dice formed the tens digit and the inside dice formed the ones digit. They were to write the number down and then put a check mark in the numbers that it was divisible by. You can actually come up with many ways to get the numbers. In one of my classes, I gave each student a 30-sided dice and they were to add the two dice together to form their number. You could use regular dice as well. Just any creative way to form a number. This process is much more interesting than giving them a worksheet with a bunch of numbers on it.

The table that the students copy on their sheet of paper.

Update: I am participating in a linky-party with Laura Candler on her amazing blog called Corkboard Connections. Here is a link to the linky party where you can get amazing foldable freebies!!


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