Math Investigations

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Chapter 11

Part 1: For the problem in the Teacher's Edition, page 272

Students can practice their research skills by finding organisms that live at different depths below sea level, or you can provide them with the data sheet that shows the depths that different organisms live below sea level found in the Activity page (PDF file).

Answers for Data Sheet:

Make sure that students realize how to order negative numbers. For example, if they picked the amphipod, octopus, and sponge they would write the depths where they live as 32,199 feet for the amphipod, 16,404 feet for the octopus, and 18,500 feet for the sponge. The result of ordering the depths from least to greatest is:

  • 32,199
  • 18,500
  • 16,404

Answers will vary.

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 7 on using logical reasoning.

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 students to work on the investigation.

Doing the Investigation

You may need to review Venn diagrams with the students. Go over what each region in the diagram means. Then do the first statement together.

After students have done their own Venn diagram, have them trade diagrams so they can fill in the statements for a Venn diagram of another group.

  1. If a number is negative and divisible by 5, it should go in Region           G.          
  2. If a number is positive and not divisible by 5, it should go in Region           A.          
  3. Regions           B           and           E           will always be empty.
  4. The number 25 goes in Region           F.          
  5. The number 24 goes in Region           A.          

Answers for the Venn diagram the students create will vary.

Student Report

The student report gives students an opportunity to show how they filled in the statements and the Venn diagram with statements to go with it that they created.

Houghton Mifflin Math Grade 6