Same & Different: Geoboard Fractions

Look at the two geoboards. What do you notice?

A: A geoboard shows 3 out of 4 equal parts shaded orange. 3-fourths. B: A geoboard shows 6 out of 8 equal parts shaded yellow. 6-eights. The number of shaded parts in A is less than the number of shaded parts in B, but they represent the same fraction.
  1. How are pictures A and B mathematically the same, and how are they different?
    • A and B are the same because …
    • A and B are different because …
  2. Make a third picture that shows a whole divided into parts. Draw your own, or use the Geoboard app. Explain how your picture is the same as pictures A and B, and how it is different.