Proportional Pictures is a hands-on math project that helps students to discover the relationship between the perimeter and area of two similar figures. Students discover that when they increase the size of their scale drawing by a factor of three, the perimeter also increases by a factor of three, but the area increases by a factor of nine (3 x 3). (See two pictures and teacher feedback further down the page.)
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Part of The Complete Collection of Lessons, Projects, and Games
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(9 Number Sense Lessons and Projects)
Student Project – Click for Larger Image
Lesson Description: Proportional Pictures is a hands-on math project that helps students to discover the relationship between the perimeter and area of two figures. Students draw a small figure, draw a similar figure three times larger, and then investigate changes in the perimeter and area of the two figures.
Math Content: Perimeter and Area of Similar Figures
Suggested Grade Level: 5th – 8th
Time Required: About 2 class periods
Materials Needed: Colored pencils/markers, string
Teacher Testimonial: Since I created this lesson I have used it many times with 6th and 7th grade students. The students enjoy drawing their original figure, transforming it into a similar figure using a 3 to 1 scale, and then comparing the perimeter and area of the two figures. The finished projects make a great display for the classroom in addition to teaching important math concepts!
Proportional Pictures Project includes:
- 2 Proportional Pictures drawing grids
- 1 Proportional Pictures math worksheet
- 1 Proportional Pictures math worksheet answer key
- 1 Proportional Pictures Teacher Tips page
Teachers Are Talking About the Proportional Pictures Project
Here’s what other teachers have to say about the Proportional Pictures Project:
“Great product!! Was perfect so I could adjust the level of difficulty for my students. You get to draw the design yourself. Loved this and found that my students at any level were able to complete this as a fun activity after their test on ratios and proportions.”
– Wilson Wares, math teacher
“Very helpful for some of my 6th grade students who are visual and hands on learners. Thank you!”
– Deborah R., math teacher
“Again, just what I was looking for. This will help my students with scale factor and understanding what happens to the perimeter and the area of a figure based on the scale factor.”
– TpT buyer, math teacher
“My students and I had so much fun doing this….really brought home the concepts!!! thanks!”
– Susan S., math teacher
“I love this proportional scale drawing activity. Thanks for sharing!”
– Jan McCance, math teacher
Enjoy your lesson!!
Mark P. Tully
Student Project – Click for Larger Image
