Create a scavenger hunt. Students must search for proportional shapes made of colorful cardboard cutouts scattered around the classroom. This project requires teams of students to search for clues from their scavenger hunt list that will lead them to a specific shape. Students then assess the shape to determine whether the line drawn on the shape exhibits the proportionality theorem, or whether the line causes the shape to not be proportional. Students write the yes or no answer on the scavenger hunt list, and then the class discusses why some of the shapes were proportional and others weren't.
A collage is an artistic project that can be assigned for homework. For a proportional collage project, students are required to make a collage of various shapes on poster board. The shapes should be taken from magazine cutouts, such as a picture of a basketball to represent a circle. On top of the shape, the student must draw a line segment creating a proportional split of the shape; below the image, the student should label the correct proportional theorem used, such as the Triangle Proportionality Theorem.
To teach students about geometry proportionality, assign them a project to draw one image along with a second, smaller image in equal proportion. To make the project interesting, students can draw a pair of sneakers, a flower, a flag or anything else, so long as the proportionality is correct between the two drawings. On the drawings, students should depict the proportions by measuring the angles, length and width of the two images or shapes drawn.
Introduce students to the concept of charting plots on a graph by using the angles and dimensions of proportional shapes. In this project, students learn how to map the shapes on a chart to visualize how shapes translate into quantitative data. Provide a template for students to follow, such as a graph that is already labeled and numbered, so students can fill in information from the shape.