After identifying equivalent fractions using fraction bars, students will model equivalent fractions with fraction bar models and number lines. After modeling, I had my students analyze the equivalent fractions. Somehow an operation had to be used to change the numbers from one fraction to another. For example, if 1/2 = 2/4, the only operation that works to get from 1/2 to 2/4 is to multiply, by one whole in the form of a fraction.
After identifying multiplication as the operation, and one whole as the multiplier to keep the values equal, I modeled how one fraction can also be equivalent to three other fractions using various one whole such as 2/2, 3/3, and 4/4.
Multipliers and Equivalent Fractions Defined: To make equivalent fractions, a multiplier can be used. To make fractions equivalent, the multiplier must be equal to one-whole. Using a multiplier will make the equivalent fraction pieces smaller than the original pieces.