## Fields of Fruit

Summary: Your group will design an orchard where you will grow four kinds of fruit trees. You will need to to decide how to divide the land among the four kinds of trees. You must use as much of the land as possible.

1. Plan It

A. Trace the map. Each group member should trace the map found on page 359 of the Math Central textbook using quarter-inch grid paper. Include the mountains and the river.

B. Estimate the available area. Each grid square on your map represents one acre. First estimate the total number of acres on the map. Estimate the number of acres covered by mountains and rivers. Subtract the number of acres covered by mountains and rivers from the total number of acres on the map.

Our maps made and plantable acreage estimated

2. Put It Together

A. Choose a fruit tree. Each group member will select a variety of fruit tree from the Acres Needed Table available here or on page 359 of the Math Central textbook. Find how many acres 500 of your variety of tree will need.

B. Locate your orchards. Using a pencil, mark on your map where you want to locate your orchard. You may use the Acres Needed Table to help you plant trees in partial grid squares. Keep track of the number of trees planted and the number of acres they take up as you plan your orchard.

C. Combine your groups' plots. Compare the sections of the map that each group member has chosen. If the land you chose overlaps another person's land, work together to find a solution.

Our orchards plotted and recorded

3. Wrap It Up

A. Use as much of the land as possible. If plantable land is still available, work together on a way to plant trees in those areas. You can plant more trees or you can replace trees you've already planted with a different variety. Substituted trees may require more acres or fewer acres than those you've already planted. Work together and keep track of all the changes you make. Use a pencil to mark squares with a different letter or symbol for each type of tree.

B. Show your work. Use the grid maps to show each attempt at dividing the land.

C. Make a final map. First, check your work. When you have found a solution, fill in one map using a different color for each group member's section of the map.

Mapping completed

• How did you use your knowledge of fractions to divide the land?
• Do your maps clearly show the failed attempts and how you solved the problems?