Math Investigations

Help with Opening PDF Files

Chapter 14

Part 1: For the problem in the Teacher's Edition, page 352

Provide your students with a copy of the Activity page (PDF file).

Provide students with large paper and something to color with such as crayons or paint. You might want to put students in groups of two to create their designs. Ask the students to make a list of the different geometric figures they used in their designs.

When the students have finished creating their designs, display them in the classroom. Ask students to compare and contrast each design by its geometric properties. They might compare the shapes that were used, the kinds of angles, the measures of the angles in the design, etc.

Answers will vary.

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 4 on measuring, drawing, and classifying angles.


  • protractors
  • rulers

Introducing the Investigation

Introduce the investigation by reading aloud the assignment at the top of the first page of the Description of Investigation and Student Report (PDF file), by having one of your students read aloud the assignment, or by having the students read the assignment individually.

Put students in groups of two to four to work on the investigation.

Doing the Investigation

Observe students as they are drawing their angles to make sure they are measuring correctly. Give help to any who aren't measuring the angles correctly.

Because one of the required angles in the floor plan is greater than 180°, the polygon that is the floor plan will necessarily be concave.


Answers will vary.

Student Report

The letter back to Sandra Wong gives students an opportunity to show what they have done.

Extending the Investigation

Display the floor plans in the classroom. Have the students compare and contrast them by looking at number of sides, sum of the angles, symmetry, etc.

Houghton Mifflin Math Grade 6