To further explore equivalent fractions, my class had a deep discussion about possible combinations of fractions equal to one another. With each fraction strip that was displayed on the whiteboard, we talked about whole numbers (2/2 is one whole) and how the denominator changes with each added strip. One student observed that the denominator was being multiplied by 2 (that was before I placed 1/3 & 1/6 underneath the others). We were able discover lots of different combinations for equivalent fractions for 1/2, 1/4, one whole, etc...
Later, my students worked with their own set of fraction strips and set out to prove their own equivalent fractions. They categorized them by color and fraction. Then I asked them to set their 1/4 fraction piece aside and find as many possible equivalent fractions as possible. After that, they continued finding more equal fractions, which were shared at the end of class.
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