Math Investigations

Help with Opening PDF Files

Chapter 20

Part 1: For the problem in the Teacher's Edition, page 514

Provide students with a copy of the Problem Worksheet (PDF file).

Students need to add up all the times in the table in order to find the total length of Family Fun Day. Encourage them to put fractions of an hour together to make a whole hour. For example, 1/2 hour and 1/2 hour make one full hour, and 3/4 hour and 1/4 hour make one full hour.


Family Fun Day is 53/4 hours long.

Families should arrive at camp at 4:15 p.m.

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 8 on using a circle graph.


  • 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.

Ask students to brainstorm topics for a Favorite Survey.

Put students in groups of four to work on the investigation. This size will make it easier for the students to collect data and make the circle graph.

Doing the Investigation

As you are observing students make the circle graphs, ask questions such as the following to guide the students:

  • How many people in your group chose baseball as his or her favorite sport?
  • What fraction of your group chose baseball as his or her favorite sport?
  • How can you show that fraction in the circle graph?


Answers will vary.

Student Report

The student report gives students an opportunity to show what they have done.

Extending the Investigation

Have the students work in groups of six or eight to do another Favorite Survey and create a circle graph to show the results.

Houghton Mifflin Math Grade 4