PBS Teachers™

PBS Teachers

Multimedia resources & professional development for America's preK-12 educators.

Mathline

Sidewalk Capers
Geometry/Spatial Sense

Download PDF Lesson | Get Acrobat
A Printable version of this lesson is available in PDF format.
This requires a free plug-in, Adobe Acrobat Reader.
You can find out if you need it by clicking on the PDF link.

Objective

Students will explore spatial relationships by determining the area of various shapes and creating tessellation patterns.

Overview of the Lesson

Students use a variety of manipulatives in this lesson to explore spatial relationships of squares and their transformations. They create a square with 36 square tiles and determine that by sliding several of the pieces both vertically and horizontally, they form an irregular shape that can be tessellated. Students are given a variety of curved shapes and encouraged to use tape and scissors to reconfigure their shape back into a square. Students are surprised to learn that all of the different shapes have the same area. Given a variety of measurement tools, students are asked to estimate the number of squares tiles (24" x 24”) needed to cover an assigned section of the school's sidewalk. Finally, they create a pattern from the square and tessellate it on the sidewalk using chalk.