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Graphing
Different kinds of graphs
Tally Marks


Helps to collect DATA
Greatest vs. Least
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
Tally Marks
        1. How many student likes
        red as their favorite
        color?
Tally Marks
        1. How many student likes
        red as their favorite
        color?


        2. How many more
        students like green than
        purple?
Tally Marks
        1. How many student likes
        red as their favorite
        color?


        2. How many more
        students like green than
        purple?


        3. How many students like
        either blue or red?
Tally Marks
        1. How many student likes
        red as their favorite
        color?
                5 students

        2. How many more
        students like green than
        purple?


        3. How many students like
        either blue or red?
Tally Marks
        1. How many student likes
        red as their favorite
        color?
                5 students

        2. How many more
        students like green than
        purple?
                3 students
        3. How many students like
        either blue or red?
Tally Marks
        1. How many student likes
        red as their favorite
        color?
                5 students

        2. How many more
        students like green than
        purple?
                3 students
        3. How many students like
        either blue or red?

                8 students
Line Plot

Shows how often something happens
First: Draw a scale or a number line
Second: Draw an X for each value
Compare the DATA
Line Plot
Draw a Line Plot to show
the number of games won
   by different teams
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
 Draw a Line Plot to show
 the number of games won
    by different teams

First: Draw a scale or number line

Second: Draw an X for each team that won
that many games
Line Plot
         Use the Line Plot to solve problems.




1. How many teams won exactly 4 games?          2 teams
2. How many teams won more than 2 games?        4 teams
3. How many teams won less than 2 games?        4 teams
Line Plot
    Amir         Marco     Denise           Kylie           Hiro
     4            2          4               5               1
        Which Line Plot can be made from these data?
A   x        x
                 x
                 x
                                    B               x   x
                                                             x
                                                             x
    x        x   x                                  x   x    x
    x    x   x   x                            x     x   x    x
    x    x   x   x   x                  x     x     x   x    x


    1    2   3   4   5                  1     2     3   4    5



C                                   D
                 x
         x       x   x                  x     x         x    x
    x

    1    2   3   4   5                  1     2     3   4    5
Line Plot
    Amir         Marco     Denise           Kylie           Hiro
     4            2          4               5               1
        Which Line Plot can be made from these data?
A   x        x
                 x
                 x
                                    B               x   x
                                                             x
                                                             x
    x        x   x                                  x   x    x
    x    x   x   x                            x     x   x    x
    x    x   x   x   x                  x     x     x   x    x


    1    2   3   4   5                  1     2     3   4    5



C                                   D
                 x
         x       x   x                  x     x         x    x
    x

    1    2   3   4   5                  1     2     3   4    5
Pictograph

Uses pictures to represent DATA
Each picture can represent more than
one thing
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
1. Write a title for your pictograph and list the name of each team
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
1. Write a title for your pictograph and list the name of each team
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
1. Write a title for your pictograph and list the name of each team
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
1. Write a title for your pictograph and list the name of each team
Pictograph
Lucy conducted a survey. She asked
her classmates, “Which California
basketball team do you like the best?”
The table shows the results.
1. Write a title for your pictograph and list the name of each team
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
3. Draw the correct number of   for every 2 votes to complete the pictograph
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
3. Draw the correct number of   for every 2 votes to complete the pictograph
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
3. Draw the correct number of   for every 2 votes to complete the pictograph
Pictograph
 Lucy conducted a survey. She asked
 her classmates, “Which California
 basketball team do you like the best?”
 The table shows the results.
1. Write a title for your pictograph and list the name of each team
2. Decide what number to use for the key and a “Picture” to represent the number
3. Draw the correct number of   for every 2 votes to complete the pictograph
Pictograph
             Use the Pictograph to solve problems.




1. How many students like Lakers?
2. How many students likes Sparks than Monarchs?
Pictograph
             Use the Pictograph to solve problems.




1. How many students like Lakers?                    10 students
2. How many students likes Sparks than Monarchs?
Pictograph
             Use the Pictograph to solve problems.




1. How many students like Lakers?                    10 students
2. How many students likes Sparks than Monarchs?      4 students
Pictograph
Sometimes you have to use a    Colors of Balloons
fraction of a symbol to show       Blue             21
the data                          Green             18
                                   Red              3
Pictograph
Sometimes you have to use a    Colors of Balloons
fraction of a symbol to show       Blue             21
the data                          Green             18
                                   Red              3
Pictograph
Sometimes you have to use a    Colors of Balloons
fraction of a symbol to show       Blue             21
the data                          Green             18
                                   Red              3
Pictograph
Sometimes you have to use a    Colors of Balloons
fraction of a symbol to show       Blue             21
the data                          Green             18
                                   Red              3
Bar Graph


Uses BARS to represent data
You can make a BAR GRAPH using grid
paper
Bar Graph
Bar Graph
Bar Graph
Bar Graph
Bar Graph
Bar Graph
Bar Graph
Bar Graph
           Phoebe’s Test Scores



Test 1


Test 2


Test 3


Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores         1. What does the graph show?

Test 1


Test 2


Test 3


Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores         1. What does the graph show?
                                        Phoebe’s test scores for 4 tests
Test 1


Test 2


Test 3


Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores                1. What does the graph show?
                                              Phoebe’s test scores for 4 tests
Test 1
                                  2. Which test did Phoebe scored the highest?
Test 2


Test 3


Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores                1. What does the graph show?
                                              Phoebe’s test scores for 4 tests
Test 1
                                  2. Which test did Phoebe scored the highest?
Test 2
                                                           Test 4

Test 3


Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores                1. What does the graph show?
                                              Phoebe’s test scores for 4 tests
Test 1
                                  2. Which test did Phoebe scored the highest?
Test 2
                                                           Test 4

Test 3                            3. Which test did Phoebe scored the lowest?

Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
           Phoebe’s Test Scores                1. What does the graph show?
                                              Phoebe’s test scores for 4 tests
Test 1
                                  2. Which test did Phoebe scored the highest?
Test 2
                                                           Test 4

Test 3                            3. Which test did Phoebe scored the lowest?
                                                           Test 3
Test 4

         0 10 20 30 40 50 60 70 80 90 100
Bar Graph
            Phoebe’s Test Scores                1. What does the graph show?
                                               Phoebe’s test scores for 4 tests
Test 1
                                   2. Which test did Phoebe scored the highest?
Test 2
                                                            Test 4

Test 3                             3. Which test did Phoebe scored the lowest?
                                                            Test 3
Test 4

         0 10 20 30 40 50 60 70 80 90 100
         Does displaying data on a horizontal bar graph instead of a
         vertical bar graph change the meaning of the dat?
Choosing a Graph to
   Display Data
Tally Chart = use when collecting data
Pictograph and bar graph = amount of
something
   Pictograph = good for small numbers
   Bar Graph = good for large numbers
Line Plot = how often something happens
Choosing a Graph to
              Display Data
Miquel is collecting data during a Ping Pong Tournament in his
school.
What is the best way for Miguel to record his data when doing
a survey to see how many students will stay for lunch?
Choosing a Graph to
              Display Data
Miquel is collecting data during a Ping Pong Tournament in his
school.
What is the best way for Miguel to record his data when doing
a survey to see how many students will stay for lunch?




                             Tally Chart!
Choosing a Graph to
             Display Data
Miguel wants to show how many students in third, fourth, and
fifth grade participated in the tournament. What would be
the best way to display the data?
Choosing a Graph to
               Display Data
Miguel wants to show how many students in third, fourth, and
fifth grade participated in the tournament. What would be
the best way to display the data?

    Grade     Students
    Third       10
   Fourth        9
    Fifth       12
Choosing a Graph to
               Display Data
Miguel wants to show how many students in third, fourth, and
fifth grade participated in the tournament. What would be
the best way to display the data?

    Grade     Students
    Third       10
   Fourth        9
    Fifth       12

                                      Pictograph
Choosing a Graph to
             Display Data
Miguel wants to show the number of students who attended
        the tournament each year for three years.
     Which would be the best way to display his data?
  Year    Students
 Year 1     85
 Year 2     73
 Year 3     95
Choosing a Graph to
             Display Data
Miguel wants to show the number of students who attended
        the tournament each year for three years.
     Which would be the best way to display his data?
  Year    Students
 Year 1     85
 Year 2     73
 Year 3     95




                                    Bar Graph
Choosing a Graph to
               Display Data
Miguel wants to show how often players scored 0, 1, 2, 3, or 4
 points to win the game. Which would be the best way for
                 Miguel to display his data?
  Student      Points
  Phoebe         4
   Taylor        1
   Mary          3
    John         2
   Susan         4
  Joseph         2
   Larry         3
   Maya          3
   Carrie        4
   Sasha         3
Choosing a Graph to
               Display Data
Miguel wants to show how often players scored 0, 1, 2, 3, or 4
 points to win the game. Which would be the best way for
                 Miguel to display his data?
  Student      Points
  Phoebe         4
   Taylor        1
   Mary          3
    John         2
   Susan         4
  Joseph         2
   Larry         3
   Maya          3
   Carrie        4                        Line Plot
   Sasha         3

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Data Display

  • 2. Tally Marks Helps to collect DATA Greatest vs. Least
  • 12. Tally Marks 1. How many student likes red as their favorite color?
  • 13. Tally Marks 1. How many student likes red as their favorite color? 2. How many more students like green than purple?
  • 14. Tally Marks 1. How many student likes red as their favorite color? 2. How many more students like green than purple? 3. How many students like either blue or red?
  • 15. Tally Marks 1. How many student likes red as their favorite color? 5 students 2. How many more students like green than purple? 3. How many students like either blue or red?
  • 16. Tally Marks 1. How many student likes red as their favorite color? 5 students 2. How many more students like green than purple? 3 students 3. How many students like either blue or red?
  • 17. Tally Marks 1. How many student likes red as their favorite color? 5 students 2. How many more students like green than purple? 3 students 3. How many students like either blue or red? 8 students
  • 18. Line Plot Shows how often something happens First: Draw a scale or a number line Second: Draw an X for each value Compare the DATA
  • 19. Line Plot Draw a Line Plot to show the number of games won by different teams
  • 20. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line
  • 21. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line
  • 22. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 23. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 24. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 25. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 26. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 27. Line Plot Draw a Line Plot to show the number of games won by different teams First: Draw a scale or number line Second: Draw an X for each team that won that many games
  • 28. Line Plot Use the Line Plot to solve problems. 1. How many teams won exactly 4 games? 2 teams 2. How many teams won more than 2 games? 4 teams 3. How many teams won less than 2 games? 4 teams
  • 29. Line Plot Amir Marco Denise Kylie Hiro 4 2 4 5 1 Which Line Plot can be made from these data? A x x x x B x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 5 1 2 3 4 5 C D x x x x x x x x x 1 2 3 4 5 1 2 3 4 5
  • 30. Line Plot Amir Marco Denise Kylie Hiro 4 2 4 5 1 Which Line Plot can be made from these data? A x x x x B x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 5 1 2 3 4 5 C D x x x x x x x x x 1 2 3 4 5 1 2 3 4 5
  • 31. Pictograph Uses pictures to represent DATA Each picture can represent more than one thing
  • 32. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results.
  • 33. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team
  • 34. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team
  • 35. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team
  • 36. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team
  • 37. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team
  • 38. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number
  • 39. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number
  • 40. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number 3. Draw the correct number of for every 2 votes to complete the pictograph
  • 41. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number 3. Draw the correct number of for every 2 votes to complete the pictograph
  • 42. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number 3. Draw the correct number of for every 2 votes to complete the pictograph
  • 43. Pictograph Lucy conducted a survey. She asked her classmates, “Which California basketball team do you like the best?” The table shows the results. 1. Write a title for your pictograph and list the name of each team 2. Decide what number to use for the key and a “Picture” to represent the number 3. Draw the correct number of for every 2 votes to complete the pictograph
  • 44. Pictograph Use the Pictograph to solve problems. 1. How many students like Lakers? 2. How many students likes Sparks than Monarchs?
  • 45. Pictograph Use the Pictograph to solve problems. 1. How many students like Lakers? 10 students 2. How many students likes Sparks than Monarchs?
  • 46. Pictograph Use the Pictograph to solve problems. 1. How many students like Lakers? 10 students 2. How many students likes Sparks than Monarchs? 4 students
  • 47. Pictograph Sometimes you have to use a Colors of Balloons fraction of a symbol to show Blue 21 the data Green 18 Red 3
  • 48. Pictograph Sometimes you have to use a Colors of Balloons fraction of a symbol to show Blue 21 the data Green 18 Red 3
  • 49. Pictograph Sometimes you have to use a Colors of Balloons fraction of a symbol to show Blue 21 the data Green 18 Red 3
  • 50. Pictograph Sometimes you have to use a Colors of Balloons fraction of a symbol to show Blue 21 the data Green 18 Red 3
  • 51. Bar Graph Uses BARS to represent data You can make a BAR GRAPH using grid paper
  • 59. Bar Graph Phoebe’s Test Scores Test 1 Test 2 Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 60. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Test 1 Test 2 Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 61. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 Test 2 Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 62. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 2. Which test did Phoebe scored the highest? Test 2 Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 63. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 2. Which test did Phoebe scored the highest? Test 2 Test 4 Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 64. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 2. Which test did Phoebe scored the highest? Test 2 Test 4 Test 3 3. Which test did Phoebe scored the lowest? Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 65. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 2. Which test did Phoebe scored the highest? Test 2 Test 4 Test 3 3. Which test did Phoebe scored the lowest? Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100
  • 66. Bar Graph Phoebe’s Test Scores 1. What does the graph show? Phoebe’s test scores for 4 tests Test 1 2. Which test did Phoebe scored the highest? Test 2 Test 4 Test 3 3. Which test did Phoebe scored the lowest? Test 3 Test 4 0 10 20 30 40 50 60 70 80 90 100 Does displaying data on a horizontal bar graph instead of a vertical bar graph change the meaning of the dat?
  • 67. Choosing a Graph to Display Data Tally Chart = use when collecting data Pictograph and bar graph = amount of something Pictograph = good for small numbers Bar Graph = good for large numbers Line Plot = how often something happens
  • 68. Choosing a Graph to Display Data Miquel is collecting data during a Ping Pong Tournament in his school. What is the best way for Miguel to record his data when doing a survey to see how many students will stay for lunch?
  • 69. Choosing a Graph to Display Data Miquel is collecting data during a Ping Pong Tournament in his school. What is the best way for Miguel to record his data when doing a survey to see how many students will stay for lunch? Tally Chart!
  • 70. Choosing a Graph to Display Data Miguel wants to show how many students in third, fourth, and fifth grade participated in the tournament. What would be the best way to display the data?
  • 71. Choosing a Graph to Display Data Miguel wants to show how many students in third, fourth, and fifth grade participated in the tournament. What would be the best way to display the data? Grade Students Third 10 Fourth 9 Fifth 12
  • 72. Choosing a Graph to Display Data Miguel wants to show how many students in third, fourth, and fifth grade participated in the tournament. What would be the best way to display the data? Grade Students Third 10 Fourth 9 Fifth 12 Pictograph
  • 73. Choosing a Graph to Display Data Miguel wants to show the number of students who attended the tournament each year for three years. Which would be the best way to display his data? Year Students Year 1 85 Year 2 73 Year 3 95
  • 74. Choosing a Graph to Display Data Miguel wants to show the number of students who attended the tournament each year for three years. Which would be the best way to display his data? Year Students Year 1 85 Year 2 73 Year 3 95 Bar Graph
  • 75. Choosing a Graph to Display Data Miguel wants to show how often players scored 0, 1, 2, 3, or 4 points to win the game. Which would be the best way for Miguel to display his data? Student Points Phoebe 4 Taylor 1 Mary 3 John 2 Susan 4 Joseph 2 Larry 3 Maya 3 Carrie 4 Sasha 3
  • 76. Choosing a Graph to Display Data Miguel wants to show how often players scored 0, 1, 2, 3, or 4 points to win the game. Which would be the best way for Miguel to display his data? Student Points Phoebe 4 Taylor 1 Mary 3 John 2 Susan 4 Joseph 2 Larry 3 Maya 3 Carrie 4 Line Plot Sasha 3

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