Lesson Plan: Peering Into Pie Charts
Students will learn and practice how to use and read pie charts, then use the information to perform calculations and make predictions.
Objectives
Students will:
Materials
Lesson Directions
Discussing Graphs
Step 1: In the three lessons of the Bars, Lines, and Pies! program, students will create, apply, and analyze pie charts, bar graphs, and line graphs. The Bars, Lines, and Pies! Classroom Poster printable provides a good discussion starter on the topic of graphs. Review the definition of a graph with students: a diagram that visually shows the relationship between numbers or amounts. Ask students what they think it means to show numbers. Where have they seen graphs before? What are the purposes of graphs?
Introducing Pie Charts
Step 2: On the board, draw a simple pie chart with eight sections. Ask students what the circular image looks like. Guide students to compare the circle to a pie, with each “slice” representing a portion of the whole pie. Tell students that pie charts (or circle graphs) are used to represent data as portions (or segments) of a whole. Explain that just as they would see a pizza pie cut up into pieces, a pie chart is divided into different pieces of data. Each portion represents a percentage of the pie; all portions add up to 100%. Explain that if a pie chart is divided evenly, each portion is the same. Show students how the pie chart on the board has eight even segments and that each segment represents 12.5% (100 ÷ 8 = 12.5).
Step 3: Draw another circle on the board. Ask students to list five different percentages that add up to 100%. Write the percentages on the board. Show the students a rough estimation of how to divide the circle to match the provided percentages.
Step 4: Explain to students that by using the total number of degrees of a circle (360º), they can calculate the degree of the angle for each segment. Write this simple formula on the board: 1% = 3.6º. Demonstrate how, with simple multiplication, the percentage of a data set can be converted into a degree figure. For example: 25% = 3.6º x 25 = 90º. Ask students for five other percentages that add up to 100%. Draw a new pie chart with these percentages, using the formula to generate the correct angles. Provide additional examples if needed.
Step 5: Explain that once a pie chart is divided into segments, each segment should be colored and labeled with the percentage it represents. Point out that circle graph segments are ordered by size from smallest to largest in a clockwise direction (usually starting at “12 o’clock”) in order to help people more quickly compare the data.
Step 6: Distribute the Bars, Lines, and Pies! Worksheet: Make a Paper Pie printable. Read the introductory text and discuss the table. Instruct students to review the table and answer questions 1 and 2. Then direct them to the Make a Pie question and the location of the pie graph template.
Note: If necessary, provide guided practice by showing students how to compute the size of the first segment (percentage of old homework paper). Review method for determining segment sizes if needed. Point out the radius line that runs through the circle. Instruct students to use this line as a starting point for creating their segments.
Step 7: Ask students to give examples of the type of data illustrated with a pie chart and have a volunteer describe how the segment sizes in a pie chart are calculated using a protractor.
Step 8: Instruct students to answer the remaining questions on the Bars, Lines, and Pies! Worksheet: Make a Paper Pie printable. When they are finished, review the answers as a class.
Have students complete the Bars, Lines, and Pies! Family Activity: Subtracting Waste = Adding Trees: Read All About It! printable at home.