1. Displaying Data: Graphs

2. Objective
Students will be able to collect, record, organize, and display data using frequency tables, single bar graphs, or single line graphs.

3. Objective
Students will be able to formulate and answer questions by interpreting and analyzing displays of data, including frequency tables, single bar graphs, or single line graphs.

4. You can organize data by:
Sometimes, it is easier to understand data if it is organized and displayed.
 Frequency Table
 Line Graph
 Bar Graph
 Pie Chart
Pictograph
You can organize data by:

5. Frequency Table Shows the number of times something occurs.
This shows how many times a number on a dice was rolled.

6. Bar Graphs Bar graphs are another way to show data.
Double bar graphs help you to compare data.

7. Line Graphs
 Line graphs are good for showing changes in data over time when working with dates.
 Double line graphs can help you show even more data and compare data.

8. Pictographs
Pictographs are often used to show data in newspapers and magazines because they get your attention.
Each picture represents a specific number of data.

9. Pie Charts/Graphs
Circle or pie charts are another way to show data, and compare data to percentages or fractions of a whole.

10. These headings do not change
Frequency Table
These headings do not change
This tells us what we have

11. Frequency Table
I Do

12. I Do Frequency Table Weekly Restroom Use I III I II 1 2 3 4 5 6 7 1 3
Total # of Visits 1 2 3 4 5 6 7 1 3 2
I Do I
III I II

13. Frequency Table
Directions: Read the information below. Give your table a title. Label your top row.

14. Frequency Table: Activities
How did you do? Does your table look the same? How did you do imputing the data? Does the data match?
We Do

15. Frequency Table One dice per pair, one frequency chart per student
Dice is rolled not thrown, bounced, etc…. Students take turn rolling the dice. All students write down the information.
In partners, roll the dice 30 times. For each roll mark down which number the dice landed on. When you are finished, count up the tallies and write the number in the correct column. Save this data for tomorrow’s activity. Don’t forget to label your table and give it a title.

16. Bar Graphs

17. Bar Graphs
Bar Graphs display data so that it can be easily understood. You can use graphs to compare sets of data.

18. Bar Graphs
How to make a bar graph: 1. Use the data from the table to choose the right scale.  All scales start at 0.
2. Draw and label the scale on the vertical axis.
3. Draw and label the horizontal axis.
4. List the name of each item.
5. Draw vertical bars to represent each number.
6. Title the graph.

19. Vertical Bar Graph

20. Horizontal Bar Graph

21. Bar Graphs 1. What day did Courtney do the most sit-ups?
2.  On which day did Courtney do the least sit-ups?
3.  How many sit-ups did Courtney do on Friday?
4.  On which two days did Courtney do the same amount of sit-ups?

22. Bar Graphs 5. How many students have a bird?
6.  Which animal did the students have the most of?
7.  Which animal was least owned by students'?
8.  What number does the scale start at?

23. Frequency Table: Restroom

24. Bar Graphs Weekly Restroom Use 7 6 5 4 3 2 1 1 2 3 4 5 6 7
# of Students
Total # of Visits

25. Frequency Table: Activities

26. Bar Graphs

27. Bar Graphs Bar Graph page, a pencil, colored pencils
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. All students work.
Using the Frequency Table you created for the dice rolling game create a bar graph. Make sure you have a title and two headings. You may use colored pencils to make the graph easier to understand.

28. Line Graphs

29. Line Graphs
A line graph uses points and lines on a grid to show change over a period of time.

30. Line Graphs
How to make a line graph: 1. Use the data from the table to choose an appropriate scale. All scales start at Draw and label the scale on the vertical axis.    3. Draw and label the horizontal axis.  4. List the name of each item. 5. Locate the points on the graph. 6. Connect the points with line segments. 7. Write the title of the line graph.

31. Line Graphs What grade did Frank get on the third test?
First find test number 3 on the horizontal axis. Then move up until you hit the point. You see that Frank got a 100 on the third test.

32. Line Graphs On which day were the most cookies sold?
What is the title of this graph?
About how many cookies were sold on Tuesday?

33. Line Graphs What is the name of the vertical axis?
On which day did Nicole do the least amount of push-ups?
How many push-ups did Nicole do on Thursday?
About how many push-ups did Nicole do on Sunday?

34. Frequency Table: Restroom

35. I Do Line Graphs Weekly Bathroom Use 6 5 4 3 2 1 1 2 3 4 5 6 7
# of Students and Total # of Times 6 5 4 3 2 1
I Do

36. Frequency Table: Activities

37. Line Graphs

38. Line Graphs Line Graph page, a pencil, ruler
You may use a whisper voice if needed. Use rulers in the appropriate manner. All students work.
Using the Frequency Table you created for the dice rolling game create a line graph. Make sure you have a title and the topics. You may use a ruler to make the graph easier to understand.

39. Pictographs

40. Pictographs

41. Pictographs

42. Pictographs

43. Pictographs

44. Frequency Table: Restroom

45. # of Times Restroom Was Used
Pictographs
Weekly Bathroom Use 7 6 5 4 3 2 1
# of Times Restroom Was Used
I Do
= 1 Student

46. Frequency Table: Activities

47. We Do

48. Pictographs Pictograph page, a pencil, colored pencils
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. All students work.
Using the Frequency Table you created for the dice rolling game and create a pictograph. Make sure you have small pictures to represent the information. You may use colored pencils to make the graph easier to understand.

49. Pie Charts

50. Frequency Table: Restroom

51. I Do Pie Charts Weekly Bathroom Use 4 Times 3 Times 2 Times 1 Time
3 Students
I Do
4 Times
3 Times
2 Times
1 Time
Pie charts are a little bit harder. We need to use our knowledge of fractions to complete this kind of graph. We need to look at how many numbers we have total. In my particular set of data I have a total of 6 kids. So I am going to divide my circle into 6 equal parts.
1 Student
1 Student
2 Students

52. Frequency Table: Activities

53. Pie Charts
We Do

54. Pie Charts
1 Student
6 Students
2 Students
We Do
4 Students
5 Students

55. Pie Charts Pie Chart page, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Using the Frequency Table you created for the dice rolling game create a line graph. Make sure you have a title and the topics. You may use a ruler to make the graph easier to understand.

56. Choose Your Own Graph
A chart page, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Look at the data. Decide which type of graph you will use to show and organize the data. Create the graph. On the back of the paper explain why you chose the graph. You will need to create a Frequency Table for this activity.

57. Choose Your Own Graph

58. Choose Your Own Graph
A Chart page, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Look at the data. Decide which type of graph you will use to show and organize the data. Create the graph. On the back of the paper explain why you chose the graph. You will need to create a Frequency Table for this activity.

59. Choose Your Own Graph

60. Choose Your Own Graph
A chart page, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Look at the data. Decide which type of graph you will use to show and organize the data. Create the graph. On the back of the paper explain why you chose the graph. You will NOT need to create a Frequency Table for this activity.

61. Choose Your Own Graph
A chart page, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Look at the data. Decide which type of graph you will use to show and organize the data. Create the graph. On the back of the paper explain why you chose the graph. You will NOT need to create a Frequency Table for this activity.

62. Choose Your Own Graph

63. Final Graphing Project
Paper, a pencil, colored pencils, and a ruler.
You may use a whisper voice if needed. If your colored pencils are not sharpened, use crayons. Use rulers appropriately. All students work.
Create one of each graph for the results of count the school. Paste them all onto large paper. Be ready to present to the class. Make your project attractive.

64. 1 student Favorite Afterschool Activities Sleeping Watching TV Reading
Playing Sports
Video Games
1 student