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Constructing and Interpreting Graphs

Unit Plan

Constructing and Interpreting Graphs

Objectives

In this unit, students learn to gather, display, and analyze data. Students learn to represent and interpret data using different data displays. Students will:

  • gather and represent data with tally charts, bar graphs, picture graphs, and line plots, using titles and labels appropriately.
  • analyze and interpret data displays, including tally charts, bar graphs, picture graphs, and line plots.
  • identify the similarities and differences in data displays, including bar graphs, picture graphs, and line plots.

Essential Questions

  • How can data be organized and represented to provide insight into the relationship between quantities?
  • What makes a tool and/or strategy appropriate for a given task?

Related Unit and Lesson Plans

Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

Formative Assessment

  • View

     

     

    Short-Answer Items

    Use the graphs below to answer questions 1 through 8.


    1. How many fewer students chose water on Monday than on Friday?
      1. 1
      2. 2
      3. 3
      4. 4

     

     

     

    1. Which two beverages were chosen by more students on Friday than on Monday?
      1. milk and chocolate milk
      2. juice and water
      3. chocolate milk and soda
      4. juice and soda

     

     

     

    1. How many fewer students drank water than chocolate milk on Monday?
      1. 1
      2. 2
      3. 3
      4. 4

     

     

     

    1. Which list shows the number of beverages chosen on Friday, ordered from greatest to least?
      1. milk, chocolate milk, water, soda, juice
      2. chocolate milk, juice, milk, soda, water
      3. soda, milk, water, chocolate milk, juice
      4. milk, soda, chocolate milk, water, juice
    2. Which statement is true?
      1. The total of chocolate milk chosen on Monday was less than the total of soda chosen on Friday.
      2. The total of chocolate milk chosen on Monday and was more than the total of milk chosen on Friday.
      3. The total of chocolate milk chosen on Monday was equal to the total of water and soda chosen on Friday.
      4. The total of chocolate milk chosen on Monday was the same as the total of juice chosen on Friday.

     

     

    1. What are the labels on the graphs?
      1. Lunch Beverages on Monday, Lunch Beverages on Friday
      2. Number of Students, Beverage Choices
      3. Milk, Chocolate Milk, Juice, Water, Soda
      4. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

     

     

    1. Which beverage changed the most from Monday to Friday?
      1. milk
      2. chocolate milk
      3. juice
      4. soda

     

    1. How many students took part in the survey?
      1. 4
      2. 5
      3. 12
      4. 20
    2. Match each table to its graph.

     


    10. Use the information in the tally chart to draw a bar graph.

     

     

    11. Ronald’s class has the books shown below.

     

     

    1. Organize the books into categories. Use words or pictures.

     

     

     

     

     

     

     

     

     

     

     

     

     

    1. Explain how you organized the data.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    12. This graph shows the number of books Rachel and Jose read last summer.

     

    Summer Reading

     

     

    Rachel

     

     

     

     

     

    Jose

     

     

     

     

     

                                                          = 5 books

     

     

     

     

     

    Use the information in the picture graph to make a tally chart.

     

                                     Summer Reading

     

    Rachel

     

     

     

    Jose

     

     

     

     

     

     

     

     

     

     

     

    Short-Answer Key:

     

    1. A
    2. A
    3. B
    4. A
    5. C
    6. B
    7. D
    8. D

     

     

    9. Match each table to its graph.

     


    10. Use the information in the tally chart to draw a bar graph.

     

     

     

     

    11. Ronald’s class has the books shown below.

         

     

     

     

    1. Organize the books into categories. Use words or pictures.

     

    Students may use any method to divide books by colors.

     

     

    1. Explain how you organized the data.

     

    I put them in groups by color.

    Answers will vary.

    12. This graph shows the number of books Rachel and Jose read last summer.

     

    Summer Reading

     

     

     

     

     

    Rachel

     

     

     

     

     

    Jose

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    = 5 books

     

    Use the information in the picture graph to make a tally chart.

     

                                     Summer Reading

     

    Rachel

     

     

    Jose

     

     

     

     

     

     

     

     

     

     

     

    Performance Assessment:

     

    Juan took a survey of his friends. He asked how many times they had been to summer camp. The bar graph below shows Juan’s results.

     

     

     

    1. Make a line plot with data from the bar graph.

     

     

     

    1. Juan has been to summer camp 3 times. Add Juan’s data to the bar graph below.

     

     

                           

    1. Has Carla has been to summer camp twice as often as Bobby? Yes or no. Explain your answer.


      _______________________________________________________.

     

    1. How many more times has Juan been to summer camp than Bobby?____

     

    1. Who has been to summer camp the least number of times? ___________

     

    1. How many times have Juan and Sam been to summer camp altogether?_________

     

    1. Which two people have been to summer camp the most times?

    __________________               _________________

     

    1. Is “Number of Times” a title for the graph or a label?

       ________________

     

    Performance Assessment Scoring Rubric:

     

    Juan took a survey of his friends. He asked how many times they had been to summer camp. The bar graph below shows Juan’s results.

     

     

     

     

    1. Make a line plot with data from the bar graph.

     

     

     

    1. Juan has been to summer camp 3 times. Add Juan’s data to the bar graph below.

     

     

     

    1. Has Carla has been to summer camp twice as often as Bobby? Yes or no. Explain your answer. Yes, Carla has been 4 times and Bobby has been 2 times. 4 is twice as much as 2.
    2. How many more times has Juan been to summer camp than Bobby? 1
    3. Who has been to summer camp the least number of times? Sam
    4. How many times have Juan and Sam been to summer camp altogether? 4
    5. Which two people have been to summer camp the most times? Carla and Juan
    6. Is “Number of Times” a title for the graph or a label? a label

     

     

     


    Points

    Description

    4

    • Mathematical responses are all correct.
    • Visual representations are correctly and clearly displayed.
    • Student demonstrates thorough understanding of data display concepts.
    • Student performs beyond problem requirements.

    3

    • Mathematical responses are correct, possibly with one minor error.
    • Visual representations are correct but not completely clear or only partially explained.
    • Student demonstrates good understanding of data display concepts.
    • Student meets all problem requirements.

    2

    • Mathematical responses have one major or two minor errors.
    • Visual representations are provided but have some errors in logic or lack of detail.
    • Student demonstrates fair understanding of data display concepts with slight errors.
    • Student meets most problem requirements.

    1

    • Mathematical responses have major errors or three or more minor errors.
    • Visual representations are shown but are illogical, lacking clarity or very little is shown.
    • Student demonstrates limited understanding of data display concepts.
    • Student does not meet most problem requirements.

    0

    • Mathematical responses are all incorrect or missing.
    • Visual representations are completely incorrect or missing.
    • Student demonstrates no understanding of data display concepts.
    • Student does not meet problem requirements.

     

Final 4/11/14
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