Lesson 11

1. Lesson 11

Module 2: Lesson 11

Module 2: Logic and Geometry

Lesson 11: Reasoning to Solve Design and Layout Problems

Focus

Dome-shaped structures have been used in the construction of stadiums, homes, and even for research facilities that are built in some of the harshest climates in the world. Probably one of the most recognizable dome-shaped structures in Canada is the igloo. The igloo is known for its dome and its ability to protect those inside from the cold. The architecture of an igloo uses materials found in nature to suit human needs.

This is a photo of the inside of an igloo.

Did You Know?

The spiral structure of a dome is one of the most efficient interior atmospheres for human dwellings. Air and energy can move without obstruction, so heating and cooling occurs naturally. A well-built igloo with a soapstone lamp could bring the temperature up to around 0°C even when it is −40° outside.

—CBC.ca

This is a photo of the Montreal Biosphere.

iStockphoto/Thinkstock

The energy-efficient design of the dome is recognized by many architects and designers. Because of its decreased surface area, construction of a dome requires less building materials. A dome shape is also well suited to large arenas and stadiums. It can enclose more space without using support columns that get in the way.

The use of polygons in design requires careful planning and knowledge of how polygons can be arranged to fit together. For instance, when constructing an igloo, the angles of each block are based on its position in the structure. The blocks have to be shaped so that they lean inward to create the dome but still fit snuggly with the blocks above and below them. If the angles in the blocks are not correct, the igloo will collapse.

An understanding of angles in polygons helps designers, artists, and architects visualize patterns and produce successful designs.

This lesson will help you answer the following inquiry questions:

What relationships can be identified between angles and sides in polygons?

How can the properties of angles and polygons be used to solve design and layout problems?

Assessment

Try This 3
Module 2 Project

All assessment items you encounter need to be placed in your course folder.

Save a copy of the Lesson 11 Assignment to your course folder.

Materials and Equipment

ruler or straightedge
compass
protractor (You may choose to use Virtual Tools.
cardboard or paper