Math Investigations

Help with Opening PDF Files

Chapter 11

Part 1: For the problem in the Teacher's Edition, page 270

Provide students with the Problem Worksheet (PDF file)

After the students have circles that are divided into fourths, ask the following questions to help them create the circle graph.

  • How could we find out how many trees were planted all together? (Add the total number of each kind of tree.)
  • How many trees were planted all together? (20 + 25 + 15 + 20 = 80)
  • How many trees will the whole circle represent? (80)
  • Since we divided the circle into four equal parts, let's divide 80 into four equal parts. What is 80 divided into four equal parts? (20, 20, 20, 20)
  • Are there any groups of trees that have 20 trees in them? (Birch and Spruce)
  • How can we show Birch and Spruce on the circle graph? (Color in one-fourth of the circle for Birch and a different one-fourth for Spruce.)
  • How can we show the amount of Maple trees on the circle graph? (There are 25 trees in the Maple category so we can color in a little more than one-fourth of the circle.)
  • How can we show the amount of Oak trees on the circle graph? (There are 15 trees in the Oak category so we can color in a little less than one-fourth of the circle.)

Answer:

Trees Planted on Arbor Day. Graph with Number of Trees and Type of Tree. 20 Birches, 25 Maples, 15 Oaks, 20 Spruces.

Part 2: Be an Investigator

A good time to do this investigation is after Lesson 6 on adjusting the quotient.

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.

Have the class decide what they are going to collect. Work with your class to create a method to keep track of the number of the item that each person brings in each day. A table such as the following will help you keep track.

Name Mon Tues Wed Thurs Fri Mon Tues Wed Thurs Fri TOTAL
John                      
Tina                      
Vinh                      
Kelly                      

Have students compute the average to the nearest whole number.

Doing the Investigation

Record the number of items each student brings in each week. When the collection period ends, have the students help calculate a total for each student.

Give the students a list of the totals. Have them calculate the average number of the items collected to the nearest whole number.

When the investigation is over the items can be recycled.

If you do not want to have your students bringing in items each week and keeping track of the results, use the following data. Ask the students to compute the average to the nearest whole number.

Bottle Caps Collected
Name TOTAL
Robert 36
Linda 25
Jose 52
Mio 78
Eva 21
Carlos 43
Shonte 28
Andy 61
Kelly 23
Jameel 42
Lia 36
Teva 45
Anna 49
Tom 24
Paco 48
Mariah 35
Mike 58
Sam 39
Dalia 60
LaToya 47
Jason 53
Vinh 48
Kimberly 37
Kasib 51

Answers:
Answers will vary.

Answers for data we provided:
Total Bottle Caps Collected: 1039
Average: about 43

Student Report

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


Houghton Mifflin Math Grade 4