Concepts used:
Area formulas
Measurement
Rates
Proportion
Problem Solving
Grade level:
Grades 6-8
Subject areas:
Math
Social Studies
Standards
NCTM
- Computation
- Algebra
- Geometry
- Measurement
- Problem Solving
- Connection
-Representation
-Technology
NETS*S
1b, 2b, 3a, 5a, 5b, 6a, 6b
Complex Area Problems (Kmz file)
Objectives
•Measure distances
•Find the area of complex polygons
•Solve word problems involving rates
Lesson Description
This
lesson consists of two parts. The first requires students to find
the area of a complex shape using formulas and the Google Earth ruler
tool. The objects chosen for this lesson are several crop fields
in Minnesota. The shapes chosen require the area formulas for a
parallelogram and triangle. Remind students that complex area can
be found by the addition of parts or by subtracting from a greater
whole. Directions for this first step are found by clicking on the
“?” icon in the field.
The
second part of the problem is revealed when students click on the house
icon. This section consists of a problem or several problems that
a farmer may want to solve, such as “how much money will my crop
yield?” Students will need to be able to solve rate problems with a
proportion for this section.
Both
problem sections ask that student show their work in steps on
paper. Calculator use is encouraged. There are three crop
fields in this file, but you could add more of a different
variety. Students can even create their own problems to share with
the class.
Note:
The included problems involve Minnesota farming. Teachers are
encouraged to design complex area problems that their students can
relate to. Please visit Real World Math’s Community page to offer suggestions or submit a problem of your own.
Download:
Complex Area Problems - Google Earth Kmz file
Back to Measurement lessons’ page
This work by Thomas J. Petrais licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
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