This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS  Practical Uses of Math and Science  a collection of brief examples created by scientists and engineers showing how math and science topics taught in K12 classes have real world applications.



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This
resource
describes
the
slide
rule
as
an
analog
computer,
and
uses
the
slide
rule
to
demonstrate
the
concept
of
isomorphism,
which
is
one
of
the
most
pervasive
and
important
concepts
in
mathematics.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
examples
created
by
scientists
and
engineers
showing
how
math
and
science
topics
taught
in
K12
classes
have
...



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This
resource
explains
how
to
estimate
the
global
consequence
of
a
person's
actions
to
quantify
what
it
is
to
"think
globally."
To
lend
meaning
to
the
result,
it
introduces
"orderofmagnitude"
thinking.
Three
examples,
on
the
global
impact
of
a
short
drive,
a
little
water
and
an
hour
of
light,
are
described.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
...



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In this activity, students develop reasonable calendar designs for an imaginary planet using factoring as a problem solving strategy. This resource is from PUMAS  Practical Uses of Math and Science  a collection of brief examples created by scientists and engineers showing how math and science topics taught in K12 classes have real world applications.



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This
excercise
uses
"the
birthday
problem,"
a
wellknown
probability
riddle
with
a
surprising
result.
It
serves
as
a
calculator
exercise
for
students
and
beginning
computer
programmers.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
examples
created
by
scientists
and
engineers
showing
how
math
and
science
topics
taught
in
K12
classes
have
real
world
applications.
...



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In
this
activity,
students
learn
about
the
advantages
of
the
metric
system,
by
comparing
the
ease
of
calculation
and
conversion
between
the
English
and
metric
systems
of
measurement.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
examples
created
by
scientists
and
engineers
showing
how
math
and
science
topics
taught
in
K12
classes
have
real
world
applications.
...



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In this example, a computer scientist describes how the remainder in integer division has utility in pattern recognition and in computer programming. This resource is from PUMAS  Practical Uses of Math and Science  a collection of brief examples created by scientists and engineers showing how math and science topics taught in K12 classes have real world applications.



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This
exercise
shows
a
practical
application
of
trigonometry
in
the
aviation
environment,
where
student
pilots
consider
the
relationship
between
altitude
and
distance
to
complete
a
landing.
It
requires
a
scientific
calculator.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
examples
created
by
scientists
and
engineers
showing
how
math
and
science
topics
taught
...



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Pilots, Airplanes and Tangents of Three (3) Degrees 
https:/
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Using
the
simple
example
of
calculating
the
probability
of
reaching
a
traffic
light
while
green,
students
are
shown
how
to
build
a
mathematical
model
using
a
very
commonlytaught
formula
(sum
of
first
n
integers)
to
solve
a
rather
practical
problem.
This
resource
is
from
PUMAS

Practical
Uses
of
Math
and
Science

a
collection
of
brief
examples
created
by
scientists
and
engineers
showing
how
math
...



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This story can be used to teach that results must be checked against known facts to see if they're reasonable. It is designed as a follow up to "The Fall of the Ruler." This resource is from PUMAS  Practical Uses of Math and Science  a collection of brief examples created by scientists and engineers showing how math and science topics taught in K12 classes have real world applications.



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