Math Investigations

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Chapter 14

Part 1: For the problem in the Teacher's Edition, page 332

Students can conduct a survey themselves, or you can provide them with the data sheet that shows the results of a survey conducted by another group of students found in the Problem Worksheet (PDF file).

If students are going to conduct the survey themselves, discuss with them how to get the results and keep track of the results. For example, you and the class might decide to give each person an index card to write down the name of the country they would like to visit (from the list of four countries). The cards could be put in a paper bag, drawn out one at a time, and recorded on a tally chart.

Ask the following questions to help the students compare their survey to the one of page 354.

  • In each survey, which country came in first? (For survey on page 354, Italy came in first. For student survey, answers will vary.)
  • In each survey, which country came in last? (For survey on page 354, France came in last. For student survey, answers will vary.)
  • How many students participated in each survey? (For survey on page 354, 26 students participated in the survey. For student survey, answers will vary.)

If you use the data we provided, ask the same questions.

  • In each survey, which country came in first? (Italy came in first on both surveys.)
  • In each survey, which country came in last? (For survey on page 354, France came in last. For the other survey, Spain came in last.)
  • How many students participated in each survey? (For survey on page 354, 26 students participated in the survey. For the other survey, 29 students participated.)

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 3 on mean, median, mode, and range.

Materials

  • meter sticks marked in centimeters
  • graph paper

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 seven to work on the investigation.

Doing the Investigation

Students may need help setting up a bar graph. If so, help them determine the title of the vertical and horizontal axis and choose a scale that will work for recording the heights.

If you do not want students to measure their own heights, have them use the following table that gives the height of six different students to do the investigation.

How Tall Are You?
Name Height (cm)
Theo 129
Twana 130
Leng 129
Bill 129
Cheyenne 132
Linda 128
Mike 133

Answers:

Answers will vary.

Answers if you use the data we provided:

graph: How Tall Are You?

Mode: 129 cm. Median: 129 cm. Mean: 130 cm. The mean height of this group is less than the mean height of the group on page 364.

Student Report

The Student Report gives students an opportunity to show what they have done.

Extending the Investigation

Collect the heights for everyone in the class and have the students calculate the mean height of the students in the class.


Houghton Mifflin Math Grade 4