Representing Data About Us
Representing Data About Us
Objectives
Students will collect, organize, describe, and evaluate information. They will display the information in different graphic formats. Students will use these graphic formats to read and interpret the data. Students will:
- collect and display data in tallies, pictographs, graphs, and charts.
- describe displayed data.
- draw conclusions about data gathered and displayed.
- answer comparative questions based on data in graphs.
- draw conclusions about the likelihood of events alone and in comparison to other events.
Essential Questions
How can data be organized and represented to provide insight into the relationship between quantities?
How can probability and data analysis be used to make predictions?
How does the type of data influence the choice of display?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
Why does “what” we measure influence “how” we measure?
- What does it mean to estimate or analyze numerical quantities?
- Why does what we measure influence how we measure?
- How can data be organized and represented to provide insight into the relationship between quantities?
- How does the type of data influence the choice of display?
- How can probability and data analysis be used to make predictions?
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
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Short-Answer Items
1. Use the tally chart to complete the bar graph.
Use the completed bar graph from question 1 to answer questions 2 through 6.
2. Which sport is the least favorite? ___________________________
3. Which sports were chosen by the same number of people? _______
4. How many more people prefer kickball to gymnastics? __________
5. Which sport did the most people choose as their favorite? _______
6. How many students are represented in the data? _______________
Use the tally chart below to answer questions 7 through 12.
7. Here is a bar graph of cube colors. What would the tally chart look like?
8. Which color has the most cubes? ___________________________
9. Write an expression comparing the number of red cubes to the number of green cubes.
________________________________________________________
10. How many green and yellow cubes are there? ___________________
11. How can you tell without counting which color has the fewest number of cubes?
______________________________________________________
12.___________ How many cubes are represented in total by the data?
Short-Answer Key:
1. Use the tally chart to complete the bar graph.
Use the completed bar graph from question 1 to answer questions 2 through 6.
2. Which sport is the least favorite? Gymnastics
3. Which sports were chosen by the same number of people? Soccer and Basketball
4. How many more people prefer kickball to gymnastics? 5
5. Which sport did the most people choose as their favorite? Kickball
6. How many students are represented in the data? 23
Use the tally chart below to answer questions 7 through 12.
7. Here is a bar graph of cube colors. What would the tally chart look like?
8. Which color has the most cubes? blue
9. Write an expression comparing the number of red cubes to the number of green cubes.
__ 6 > 3
10. How many green and yellow cubes are there? 9
11. How can you tell without counting which color has the fewest number of cubes?
Find the shortest bar.
12.________ How many cubes in total are represented by the data? 23
Performance Assessment:
Here are the results of a class survey of the number of letters in students’ first names:
How many students have a 2-letter name? ___
How many students have a 3-letter name? ___
How many students have a 4-letter name? ___
How many students have a 5-letter name? ___
How many students have a 6-letter name? ___
Fill in the tally chart to show the results of the survey. (You don’t need to use all of the rows.)
Number of Letters
Number of Students
Make a graph of the results of the survey. Make sure to include all labels.
How many letters did the longest name have? ___
What was the most common number of letters for a name? ___
Performance Assessment Key:
Here are the results of a class survey of the number of letters in students’ first names:
How many students have a 2-letter name? 0
How many students have a 3-letter name? 4
How many students have a 4-letter name? 2
How many students have a 5-letter name? 5
How many students have a 6-letter name? 1
Fill in the tally chart to show the results of the survey. (You don’t need to use all of the rows.):
Number of Letters
Number of Students
3
4
4
2
5
5
6
1
Make a graph of the results of the survey. Make sure to include all labels.
How many letters did the longest name have? 6
What was the most common number of letters for a name? 5
Performance Assessment Scoring Rubric:
Points
Description
4
- Information is shown correctly in a tally chart.
- Written explanations are thorough, detailed, and clear.
- Interpretation of data presented in the graph is correct.
- Graphical representations are correct.
3
- Most of the information is shown correctly in a tally chart.
- Written explanations are clear.
- Adequate understanding of collecting and displaying data is demonstrated.
- Graphical representations are mostly correct.
2
- Some information is shown correctly in a tally chart.
- Written explanations lack detail.
- Partial understanding of collecting and displaying data is demonstrated.
- Graphical representations are not clear.
1
- Information is not shown correctly in a tally chart.
- Written explanations are incomplete.
- Little understanding of collecting and displaying data is demonstrated.
- Graphical representation is incomplete.
0
- Information is not shown in a tally chart.
- Written explanations are incorrect or missing.
- No understanding of collecting and displaying data is demonstrated.
- Graphical information is incorrect or missing.
Final 4/18/14
