Example of an image with three colors, each making up a fraction of the whole. Students can use Fraction Mash to find the fractions, or, as they will learn in these lessons, Algebra. |
A set of iPads with the Fraction Mash app
Depending on how much time you want to spend on this project, anywhere from 1 class period (if students are already familiar with Fraction Mash) to 3 class periods.
These lessons are designed for students to work individually, in pairs, or in groups. Each student should do all the work on their own sheets, and the iPad should be shared across group members as equally as possible.
We suggest that groups be no larger than four students. Four or more students in a group will require extra attention to make sure that every group member is contributing equally.
1) How did you keep track of the colors in your first mashups? Did you use equations to find any of the fractions? How?
2) Explain how algebra helped you find the fractional components of your classmate’s collages.
3) What did you notice about the difficulty in keeping track of the fractions in your free exploration as your collages got more and more complex? How did you handle that difficulty?
Another example of 3 colors, with a 4th added in the next image. |
Here you can see that 9/25 of the image is white, so the question: What fractional components are the other 3 colors? |