An area model represents a fraction by partitioning a whole, or a collection of wholes, into equal-sized parts: the denominator names the total number of equal parts in one whole, and the numerator identifies how many parts are represented. The model supports interpreting fractions as quantities, recognizing equivalent fractions through different equal partitions, and distinguishing equal-area parts from merely equal-looking or unequal regions.
An area model shows a fraction by dividing a whole into equal-area parts.
Let’s represent .
Look at the denominator.
The denominator is , so divide one whole rectangle into equal parts.
Look at the numerator.
The numerator is , so shade of the equal parts.
Read the model.
There are equal parts in all, and are shaded. Therefore, the area model represents
The parts must have equal areas. They should not just look similar; each part must represent the same amount of the whole.
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