Task Description
In this Math class, students learnt “Perimeter of 2-D shapes,” where the perimeter is the length of the outside edge of the shape. During class, we discussed whether a big shape must have a longer perimeter than a small shape. The question was, “Can a small shape have a longer perimeter too?”
This task is to explore how any 2-D shape with the same area may actually have different perimeters. We used 10 identical squares to form all sorts of shapes and measured their perimeters. She put her findings into the space provided. There are two main parts. One shape withshortest perimeter possible, and another shape with the longest perimeter possible.
Student's work
4D (17) Yoyo Lee
Student's Reflection
When I started this homework, I remembered a cartoon about an igloo. So, I designed an igloo shaped B to have the smallest perimeter, and a “5” to be the shape with the longest perimeter.
It was especially satisfying for me to finish shape A - the “5”. That was because I had to have many tries before deciding that this shape had the longest perimeter.
If I were the teacher, I would give it an A. Although it was just a number from daily life, it took me many tries and some creativity to come up with the design. And if I could do it again, next time I would like to colour the shape too.
Teacher's Comment
Yoyo showed very good understanding of the concept through her work. She found a way to put as many squares together, out of 10, as she could. This minimized the exposure of the outside edge and resulted in a shape with the shortest perimeter. Similarly, she knew about stretching all 10 squares into a line shape, maximizing the exposure of the outside edge, and created a shape with the longest perimeter.
She did all that with the precision and neatness that many others failed to show, while also understanding the concept. Well done and keep it up, Yoyo!