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.)

### 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