Mathematics/Physics
Areas
of States  Estimation
Janice C.
Harvey 
Carver
Middle School 
801
E. 133^{rd} Place 

CHICAGO
IL 60627 


(773)
5355655 
Objectives:
Students
will learn how to use the formulas for measuring the area of simple
geometric
shapes to estimate the area of an irregular shape. Students will learn how
to estimate the area of the states using the formulas for the areas of
rectangles, squares and triangles. This lesson is designed for seventh
and
eighth grade students.
Materials:
Each
team will need these materials. (Students will work in pairs.)
·
Outline
maps of individual states with distance scales.
·
Rulers
·
Calculators
·
Pencils
·
Paper
·
List
of areas of all 50 states
Strategy:
These
formulas may be used:
o
Area of a
rectangle =length ´ width
o
Area of a
triangle = 1/2 ´
(base) ´ (height)
o
Area of a
square = (side)^{2}
Have
students, working in
pairs, choose a state and estimate the area of that state by using
different
shapes. They may estimate the area of the state by using the formulas
for
finding the area of the various shapes, and by referring to the scales
on the
maps.
Performance
Assessment:
As
a performance assessment for this lesson, give each student an outline
map of a
state to estimate the area of that state. Student’s final estimation
should be
within an 80% accuracy range.
Conclusion:
By using the
formulas
measuring the areas of simple geometric shapes and the map scales, the
students
will be able to estimate the land area of certain states.
References:
· Ready to Go US Outline Maps [Scholastic Professional Books – 2000]
·
Passport
to Algebra and Geometry
[McDougalLittell 1999], pp. 192193
·
Road Atlas
[Rand McNally
2000]