Bonnie Murray: Lesson Plan - "The Global Grapefruit"


Adapted from The Book of Where, N. Bell

Bonnie Murray
Jo Mackey Magnet school
2726 Englestad
North Las Vegas, NV 89030
702.799.7139

ASGI 1995

 

OVERVIEW

This activity will aid students in understanding why and how mapmakers represent a 3-dimensional globe on a 2-dimensional map.

GRADES

Grades 2 - 5, but adaptable to all grade levels.

STANDARDS

#1 How to use maps and other geographic representations, tools, and technologies to acquire, process, and report information from a spatial perspective.

TIME

One hour to 90 minutes.

MATERIALS

  • One or more globes, including an inflatable if available.
  • One or more world maps, including at least one Mercator projection.
  • One grapefruit or orange for every 2 - 4 students, plus one for the teacher.
  • One permanent black felt marker, plus one for every 2 - 4 students if desired.
  • One blank Venn Diagram on a transparency for whole group discussion.
  • Overhead marking pens.
  • Paper towels.
  • One kitchen knife for the teacher's use.

OBJECTIVES

A. To compare and contrast world maps and globes, including a study of the shapes and sizes of continents and oceans on both.
B. To convert a 3-dimensional globe to a 2-dimensional map.
C. To introduce the Mercator map projection.
D. To observe map distortions of shape, area, distance, direction and angle.

PROCEDURES

1. Set up student workstations including a world map, globe, grapefruit, and paper towels. One black permanent marker per group is optional (see Step #8 below). If you prefer, have all materials in one central location and assign a "getter" for each group to get the materials before beginning the lesson.
2. Begin by defining guidelines for cooperative learning groups. Review guidelines already established in your classroom or introduce them to "Harmony" by having them discuss each behavior and what the results will be if they follow these guidelines:

  • Listen
  • Appreciate
  • Communicate
  • Yield
  • Concentrate
  • Control Yourself

3. Explain that it has taken centuries for people to get a complete picture of the world in which we live. Until the time of Magellan, most people believed that the earth was flat. They used flat paper to represent the location and shape of water and land. After Magellan circled the earth in 1519, he proved that the earth was round. Then cartographers, or mapmakers, had to place land and oceans on a round globe to be accurate. Unfortunately, one can only see half of a globe at a time. A globe is also hard to carry around and doesn't fit into books! Cartographers had to find a way to "peel" the globe so that they could fit their pictures of it onto a sheet of paper again.
4. Invite the students to look at the globes and maps in the classroom and share their thoughts about how they are alike and different, in overall appearance and between specific continents. Record their ideas on the Venn Diagram transparency (see example of completed Venn Diagram).
5. Ask the students to suggest ways in which a globe could be flattened to be an accurate map of the world. If you have an inflatable globe, let the air out of it to show them that this particular solution, which they are certain to suggest, is not possible.
Hold up a grapefruit and ask the students what shape it is (sphere, globe). Compare the shape to one of the globes in the classroom. Demonstrate how the land masses and oceans fir onto the grapefruit globe by drawing them on with a black permanent marker while the students watch.
6. Explain to the students that they will have an opportunity to try to flatten a global grapefruit with a cooperative group. Now is a good time to discuss proper use of the materials with the students and remind them to use the guidelines for working in cooperative groups.
7. OPTIONAL: Teachers of older students may want to have the groups draw the land masses and oceans on their grapefruit before beginning to peel them.
8. Have the students meet at their cooperative group workstations. First they will brainstorm ways of flattening the grapefruit. Then they will decide on which method they wish to try. Now it's time to get messy!
9. Circulate to listen in on each group's conversations, to keep them on task, and to monitor their progress.
10. After most groups have finished their tasks, invite the class back together as a whole group so that each cooperative group can share its flattening procedure, successes, and frustrations.
11. Use a knife to split the skin of your global grapefruit from each "pole" to the "equator," leaving the segments connected at the equator by about 1/2 inch, demonstrating how a spherical object can be split to flatten it. Press your grapefruit skin flat and ask the students what happened to the continents and oceans (they got cut in places).
12. Explain that at first cartographers had to "connect the dots" or stretch areas where land masses and oceans are split. Over 400 years ago, a cartographer named Gerhard Kremer who used the name "Mercator" on his maps, found a way to use light and shadows to project the globe onto a cylinder and then to turn that cylinder into a flat surface for a map. Most of the early maps you see of the whole world are Mercator projections which were used extensively for navigation in the past. The easiest way to tell if a map is a Mercator is by looking at the latitude and longitude lines. If they form perfect rectangles (all latitude and longitude lines meet at right angles), the map is a Mercator projections. Older students can look at their Mercator projection maps and discuss whether the distortions are in shape, area, distance, direction, or angle. No single map can perfectly represent a globe, so students need to be able to determine which characteristic is being distorted in the map that they are using.
13. Have all the groups clean up their work stations and dispose of any waste. They may want to eat the grapefruit segments that haven't been destroyed in the process of flattening the skin.

EXTENSIONS

1. Read the book Maps and Globes, by Jack Knowlton. It has a simple but solid description of the history and types of maps and globes.
2. Have the students blow up round balloons, cut out correctly-sized and -shaped continents, then draw in the latitude and longitudes lines with permanent marker. From here, instruct them in the technique for projecting a globe onto a Mercator grid so they can experiment with turning their balloon globe into a flat map.
3. Show the students examples of various projections (Robinson's, which was designed to minimize all types of distortions, or Peter's) so they can compare and contrast the size and shape of the land masses and oceans with those on a Mercator projection. Older students may be able to determine if the shape, area, or distance of land masses and angle and direction of longitude and latitude lines on each type of projection remains the same as a globe.

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Last Modified: 21 January 1999
Copyright University of Nevada, Reno July, 1996