Problem Analysis:
The task involves creating a pie chart based on the given data about gifts of different colors. The goal is to determine how many different colors of gifts there are and then color each slice of the pie chart according to the gift's color.
#### Step 1: Identify the Different Colors of Gifts
From the image, we can see four distinct groups of gifts, each labeled with a specific color:
1.
Green (two green gifts)
2.
Blue (four blue gifts)
3.
Red (one red gift)
4.
Yellow (two yellow gifts)
Thus, there are
4 different colors of gifts.
#### Step 2: Determine the Total Number of Gifts
To create the pie chart, we need to know the total number of gifts:
- Green: 2
- Blue: 4
- Red: 1
- Yellow: 2
Total number of gifts = \( 2 + 4 + 1 + 2 = 9 \).
#### Step 3: Calculate the Proportion of Each Color
Each slice of the pie chart represents a fraction of the total number of gifts. We calculate the proportion for each color:
-
Green: \( \frac{2}{9} \)
-
Blue: \( \frac{4}{9} \)
-
Red: \( \frac{1}{9} \)
-
Yellow: \( \frac{2}{9} \)
#### Step 4: Color the Pie Chart
The pie chart is divided into 9 equal slices (since there are 9 gifts in total). We now color the slices according to the proportions:
-
Green: Color 2 slices green.
-
Blue: Color 4 slices blue.
-
Red: Color 1 slice red.
-
Yellow: Color 2 slices yellow.
Final Answer:
The number of different colors of gifts is
4. The pie chart should be colored as follows:
- 2 slices green
- 4 slices blue
- 1 slice red
- 2 slices yellow
\[
\boxed{4}
\]
Parent Tip: Review the logic above to help your child master the concept of circle graph worksheet 6th grade.
