Intermath | Workshop Support
 Write-up

Title
Tessellations

Problem Statement

What is a tessellation?

GPS Alignment

M6G. Geometry

Students will further develop their understanding of geometric figures.

M6G1. Students will further develop their understanding of plane figures.

a. Understand the meaning of line and rotational symmetry.

b. Demonstrate understanding of similar plane figures and the scale factor between them.

b. Interpret and sketch simple scale drawings.

c. Solve problems involving scale drawings.

M6M. Measurement

Students will understand the systems of units for measuring perimeter, area, and volume. They will also understand how to measure the volume and surface area of solid figures. Students will understand the systems of units of measuring (customary and metric) and measure quantities efficiently.

M6M1. Students will convert from one unit to another within one system of measurement (customary or metric) by using proportional relationships.

M6M2. Students will use appropriate units of measure for finding the perimeter, area, and volume and express the answer using the appropriate unit.

M7G. Geometry

Students will further develop and apply their understanding of plane and solid geometrical figures.

M8G. Geometry
Students will use and apply geometric properties of plane figures. They will understand and critique inductive and deductive arguments concerning geometric ideas and relationships including congruence, similarity, and the Pythagorean Theorem.

Problem setup

A very interesting thing that I learned in tonight's class is the term tessellation. Being interested in art, I find this concept fascinating and possibly a fun way to intertwine geometry and art for students who struggle with geometry.

Plans to Solve/Investigate the Problem

I would like to attempt to make quilts with middle school students in an effort to teach the art of geometry and the geometry of art.

Investigation/Exploration of the Problem

I would use a book called Geometry, Art and Life as a resource and a way of introducing the topic. I would bring in samples of quilts to show the students. I would then bring quilt books that explain in simple step by step detail how to make simple quilts which have tessellation designs. I would also have sewing machines so that students could also learn how to sew the quilts themselves. This would be an ongoing project.

Extensions of the Problem

Another thing that I could do with this concept is teach the difference between fractals and tessellations. We could make fractals in class after looking at fractals in nature such as broccoli, cauliflower, as well as fractal art.

Author & Contact
Pam Joseph
mailto:prj1@aol.com

Link(s) to resources, references, lesson plans, and/or other materials