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Formulas
Mathematics, Grade 6
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Study Guide Formulas Mathematics, Grade 6
❮
1
/
3
❯
EVALUATE
FORMULAS
FOR
GIVEN
INPUT
VALUES
IN
ORDER
TO
CALCULATE
CIRCUMFERENCE,
AREA,
VOLUME,
DISTANCE,
AND
TEMPERATURE
What
Is
Evaluating
Formulas
for
Given
Input
Values?
•
There
are
a
variety
of
formulas
for
calculating
measurements,
for
instance,
the
formula
for
calculating
the
area
of
a
rectangle
is
length
times
width
or
A
=
l
x
w.
•
The
formulas
contain
places
for
inputting
numbers
o
The
circumference
of
a
circle
→
C
=
п
x
d
o
The
area
of
a
rectangle
→
A
=
l
x
w
o
The
volume
of
a
rectangle
→
V
=
l
x
w
x
h
•
Evaluating
a
formula
requires
inputting
the
correct
data
and
performing
the
operations.
How
to
evaluate
formulas
in
order
to
calculate
circumference,
area,
volume,
distance,
and
temperature:
•
Begin
by
choosing
the
formula:
o
Circumference
of
a
circle
→
п
x
D
(
п
=
3.14)
o
Area
of
a
rectangle
→
l
x
w
o
Area
of
a
triangle
→
½
b
x
h
o
Volume
of
rectangular
solid
→
l
x
w
x
h
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•
Input
the
values
and
perform
the
operation
o
Circumference
of
a
circle
→
п*D
(п
=
3.14
and
D
=
8
in)
•
C
=
3.14
x
8
=
25.12
in
o
Area
of
a
rectangle
→
l
x
w
(
l
=
4
in
and
w
=
7
in)
•
A
=
4
x
7
=
28
sq.
in
o
Area
of
a
triangle
→
½
b
x
h
(
b
=
6
inches
and
h
=
12
in)
•
A
=
½
(6
x
12)
=
36
o
Volume
of
rectangular
solid
→
l
x
w
x
h
(l
=
2cm,
w
=
6cm,
h
=
4cm)
•
V
=
2
x
6
x
4
=
48
cubic
cm
•
Temperature
can
be
measured
in
either
Fahrenheit
or
Celsius.
A
thermometer
may
be
marked
according
to
the
Fahrenheit
scale
or
the
Celsius
scale.
Some
are
marked
with
both.
The
degrees
on
a
thermometer
are
marked
with
lines
which
are
used
to
determine
the
temperature.
There
are
4
lines
between
each
degree.
Each
space
equals
2
degrees.
o
Water
freezes
at
32o
F
and
boils
at
212o
o
Water
freezes
at
0o
C
and
boils
at
100o
•
Distances
can
be
measured
in
standard
measure:
inches,
feet,
yards,
miles
or
in
metric
measure:
millimeters,
centimeters,
meters,
kilometers
o
12
in
=
1
foot
o
3
ft
=
1
yd
o
5280
ft
=
1
mile
o
1000
mm
=
1m
o
100
cm
=
1m
o
100
m
=
1km
•
The
formulas
for
measuring
are
used
correctly
by
inputting
the
known
values
and
completing
the
operations.
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Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Try
This!
What
is
the
circumference
of
a
circle
with
a
diameter
of
23?
_______________________
What
is
the
area
of
a
rectangle
with
a
length
of
12
and
a
width
of
9?
_______________________
What
is
the
volume
of
a
rectangular
solid
which
measures
4cm
by
8cm
by
12cm?
____________
Would
water
freeze
if
the
temperature
was
45o
F?
_______________________
Would
water
freeze
if
the
temperature
was
32o
C?
_______________________
Which
is
longer
a
line
600cm
or
a
line
2m?
_______________________
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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