Illuminations: What's in a Name?

What's in a Name?


Creating Pictographs

Students create pictographs and answer questions about the data set.

Learning Objectives

 
Students will:
  • Create pictographs
  • Answer questions about the data set from the representations

Materials

 
Crayons
Paper
Index cards

Instructional Plan

To assess prior knowledge, display a bar graph from a previous lesson in this unit, and ask students to tell how many people are represented in each category.

To begin the lesson, ask students what questions they could answer about their names. Provide index cards to each student. Ask them to write their full names on the cards. Say, "How many vowels are in our names? Are there more names with one to three vowels or with four to six vowels?" Ask them to record the number of vowels in their full names on the card. Explain that they will show that data in a pictograph. A pictograph uses pictures to show data.

Draw four lines on the board and label the rows:

1 - 3
4 - 6
7 - 9
More than 9

Ask students what the title of the pictograph should be. Enter their suggestions above the graph.

Tell students to come up one by one and draw a star in the row that tells how many vowels are in their full name. When each member of the class has recorded his or her data point, invite students to discuss what they notice from the pictograph. Encourage them to make comparisons between the rows as well as telling the number of stars in each row.

 

 

Ask, "How many people does each star represent?" [1] Model how to create a legend at the bottom of the chart. Repeat with pictographs to answer the questions students pose. Ask them to talk about what is alike and what is different among the pictographs.

To avoid large graphs, you may want to help them select appropriate ranges. For example, if they want to explore what letters the names begin with, you may want to group them A ‑ C, D ‑ F, and so on.

Format a second chart near the first one. Use a legend that shows that each star equals two students. Ask students what that might mean. [Each star now stands for two students.]

If there are an odd number of stars in a row in the first pictograph, guide students to understand that half a star should be drawn when a star stands for two people.

Together, construct a pictograph using the full-name data. A sample is shown below.

 

 

Ask partners to work together to make a pictograph with the last-name data, using the legend that each star (or other symbol of their choice) stands for three people. When they are ready, call on groups to share the pictographs they made.

Questions for Students

 

How does a pictograph differ from a bar graph? How are the two representations alike?

[They show data in different representations; They both show numerical data.]

When a symbol represents two students, how do you show ten people? Eight people? Eleven people?

[5; 4; 5 1/2.]

How would you describe making a pictograph to a friend?

[Student responses may vary.]

Assessment Options

 
  1. At this stage of the unit, students should be able to:
    • Create pictographs
    • Answer questions about the data set from the representations
  2. To help you assess individual progress toward learning goals, questions for formative assessment are suggested in each lesson. You may wish to record individual progress across lessons on the Class Notes. Dated entries from each lesson may be useful during conferences with students, parents, administrators, and colleagues. These notes can also provide documentation for mandated individual education plans.

Teacher Reflection

 
  • Were all students able to contribute to the creation of the pictographs?
  • Were all students able to answer questions from the pictographs?
  • Which students were able to complete a pictograph where a symbol stood for more than one student? What instructional experiences do they need next?
  • What adjustments will I make the next time I teach this lesson?

NCTM Standards and Expectations

 
Data Analysis & Probability 3-5
  1. Represent data using tables and graphs such as line plots, bar graphs, and line graphs.
  2. Compare different representations of the same data and evaluate how well each representation shows important aspects of the data.
This lesson was developed by Grace M. Burton
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics


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