Simple manipulative for dividing fractions

When teaching children to divide fractions, I believe that the best way to imprint the process into their brains is to use manipulatives. There’s a time and place for worksheets but repetitive practice only works when a child is very close to or has already mastered the process. Otherwise, repetition of incorrect process only drills them in how to do it incorrectly!

Dividing fractions manipulativeUse any materials on hand to create cards for the multiplication, division, and equals symbols.  Have a dry erase board and marker for each pair of children or adult/child combo.  Make lots of cards of different fractions.  Model the following a few times before students work alone or in pairs as shown in the video – keep the first fraction to same, change out the division for multiplication, and flip the second fraction to use it’s reciprocal.  Then, the dry erase can go after the equals and everyone works out the calculation and simplifies the fractions. Pairs are perfect for this because one can be the teacher and one can be the student and take turns.

Simple/Basic: Choose fractions with numbers 12 and under that will lead to quotients that do not have to be simplified.

Moderate: Choose fractions with numbers 15 and under and not many with the number one in the numerator. You can also use integers to review rules for working with positive and negative numbers.

Advanced: Give the students the materials and ask them each to make their own game with numbers 20 and under, either positive or negative. They can then take turns working with each other’s cards and assessing each other’s work.