Grade
5

What Comes Next? Geoboards

What do you notice? What do you wonder? What comes next?

First, a geoboard grid with a square 1-fourth unit by 1-fourth unit. 1-fourth times 1-fourth = blank square unit. Next, a geoboard grid with a 1-fourth unit by 1-half unit rectangle. 1-fourth times 1-half = blank square unit. Then, a geoboard grid with a square 1-half unit by 1-half unit. 1-half times 1-half = blank square unit. Last, a geoboard grid with a 1-half unit by 3-fourths unit rectangle. 1-half times 3-fourths = blank square unit.
For this exercise, the geoboard grid is 1 square unit.

Show or tell what the next three pictures look like. Describe how you know.

You might like to try the MLC Geoboard app to play with the pattern.

Challenge

What might the 8th picture look like? What might later pictures look like? Why do you think so?

Follow-up

Create your own fraction pattern and share it with someone else. Ask them what comes next!

Printable Version

Google doc for printing and copying

Seesaw Version

Activity for the Seesaw platform

Reference for Educators

Sample problems and solutions