Example showing a late iteration of Mondrian Me. The student already used white, blue, yellow, red and is ready to explore the fractional makeup of the total image. See below for more screenshots. |

Example of a painting by Mondrian to the right. Piet Mondrian was a Dutch painter who lived from 1872 to 1944. In his lifetime he created a large, diverse body of work, but he’s most famous for his grid paintings that used primary colors, like the one on the right. For our purposes, these paintings are a great opportunity to think about collage of blocks of color, and the fractional pieces that make up the whole. |

Introduce Mondrian, his works, concepts of collage and how fractions are related. Show examples of his paintings, it would be helpful for students to see a broad range of these works, even though they look similar on many levels. (ie Paintings with lots of color, some with mostly white, small grids, large, etc.)

**To do:**

- Students will use a worksheet that provides instructions and guides them through a course of exploration.
- A sample workflow is shown below in screenshots, and this is not provided to the students.
- Allow set amounts of time for each stage of the worksheet.

With each lesson, spend some time allowing the students to share their work with the class. In this lesson, students can share their collages.

If necessary, have students label their iPads so they will be able to return to them for the next lessons.

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) Which color shows up the most in your first collage? Why?

2) Which color shows up the most in your masterpiece? Why?

3) How did equations help to keep track of the fractional components?

4) Describe how you found the fractional components of your classmate’s collage.

5) Solve the following three problems.

a)

b)

c)

6) Choose one of the problems above and explain how it could be represented by a picture made with Fraction Mash? (Hint: It could involve a re-mix.)

7) How is the image you described in #6 like the images you made in this activity?

Students start with a selfie, as seen below. Save these 5 colors to the camera roll so they will be easy to access in Fraction Mash.

The first mashup using selfie and white. White is a good color to start with because it helps create a sort of blank slate. Note that 25ths are used, students will keep track as they go. |

Second mashup adding blue, and using 50ths. 10 rows by 5 columns. |

3rd mashup, adding yellow. Again with 50ths, but this time it’s 5 rows by 10 columns. |

4th mashup |

5th mashup |

Final image |