This fraction model introduces and works with fractions that have denominators that are factors of 12. Begin by creating a glossary of images for the unit fractions 1/12, 1/6, 1/4, 1/3, and 1/2. Then create images of other fractions such as 2/3 and 5/6. You can refer to your glossary later when you are operating on fractions.
There are several ways to model each fraction, choosing the most efficient model is helpful when adding, subtracting, multiplying and dividing fractions.
ADDITION: use two colors to represent joining two fraction amounts. Record the answer from what you see.
SUBTRACTION: model the first fraction and then cross-out eggs to represent the second fraction. Record the answer from what you see.
1/3 - 1/4 = ________
MULTIPLICATION: model one of the fractions (remember multiplication is commutative). Then circle the second fraction as an amount of the colored portion. Record your answer as the number of eggs circled compared to the whole.
5/6 x 2/5 = ________
DIVISION: model the first fraction. Circle the amount of the second fraction each time it occurs in the colored part. Record the answer as the number of circles and leftover pieces. Your answer may appear as a mixed number.
7/12 -:- 1/3 = ________
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