graphs and point out how they are constructed.
4. Instruct your students to construct a picture graph and a bar graph, using the data obtained in the poll you conducted at the beginning of the activity. Suggest that they choose a simple picture to represent data for their picture graph and create a legend showing the value of each picture. For their bar graph they should create a scale to represent the data, and be sure to label each bar. They should construct their graphs neatly and accurately, and include a title for each graph.
5. After students have constructed their graphs, ask them questions based on comparisons of the data, especially questions that focus on “how many more,” and “how much less.”
Closure
Ask your students to summarize the steps for constructing picture graphs and bar graphs:
Obtain data.
Determine a scale or legend, depending on the graph.
Draw the graph.
Show and label the data accurately.
Include a scale or legend that shows the value of the data on the graph.
Title the graph.
You may also want to display students' graphs.
Measurement and Data: 3.MD.4
“Represent and interpret data.”
4. “Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.”
Background
A line plot, also known as a dot plot, displays data along a number line. Each value of the data is marked with a symbol noting the frequency.
For example, suppose that you wish to draw a line plot, showing the hand span of five students in inches: The line plot appears below.
Note that an “X” is placed above the value each time the value appears.
Activity: Hand Spans
Working in pairs or groups of three, students will measure their hand spans and draw a line plot that shows the hand spans of the students in class.
Materials
Rulers with a-inch scale; reproducible, “Hand Span Data Sheet,” for each pair or group of students.
Procedure
1. Explain that students will measure their hand span—the distance between the tip of the pinkie finger and the tip of the thumb when the hand is open, palm down.
2. Demonstrate a hand span by placing your hand palm down on the board, marking the tip of your pinkie and the tip of your thumb. Then measure the distance between these two points to the nearest quarter inch.
3. Instruct your students to find their hand span and record its length to the nearest quarter inch. If necessary, the student's partner can help measure.
4. Distribute copies of the reproducible. Note that it contains a table (broken into three parts) with rows numbered 1–30 and a horizontal line at the bottom that will serve as the line plot.
5. Call the name of the first student in your grade book. Ask for his or her hand span. Students will record this distance in Row 1 on the reproducible. You may find it helpful to write the data on the board.
6. Continue until all the names of your students have been called and everyone has announced his or her hand span. The number of completed rows in the table should be the same as the number of students in class.
7. Explain how to construct the line plot.
Find the smallest and largest hand spans.
Place a small vertical line near the left arrow on the horizontal line at the bottom of the reproducible to represent the smallest hand span.
Using a ruler and starting with the smallest value, mark the number line at-inch intervals, stopping at the number representing the largest hand span.
Place an X every time a value is given.
Closure
Discuss the line plots. Ask your students question such as: What was the most common hand span in the class? What was the least common? Is a line plot a good tool for displaying data? Why?
Names ______________________________________ Date ____________
Hand Span Data Sheet
Measurement and Data: 3.MD.5
“Geometric measurement: understand concepts of area and relate