I'm tutoring elementary-level kids on equivalent fractions and am not doing a very good job of explaining it. I've tried using the example of a pizza or a pie and have shown them how they can come up with infinitely many equivalent fractions by picking a number and multiplying the top and bottom.
What are some other ways that I could explain equivalent fractions to kids so that they understand them better?
I think I would try to use examples with units the students understand, or a tangible example.
For instance, set up four piles:
Ask 4 students to take 1 dollar from each pile, for example. So they each took $\frac{1}{2}$ of each pile and yet the 4 students have 1, 4, 10, and 100 objects, respectively, in their hands.
I also recommend this article, though it's not on equivalent fractions, per se.