CONVERT BETWEEN
UNITS OF MEASURE
HS.N-Q.A.1, 2, 3
Learning Goal 2 (HS.N-Q.A.1, 2, 3):
The student will be able to use units to solve multi-step contextual
problems.
4
3
2
1
0
In addition to
level 3.0 and
above and
beyond what
was taught in
class, the
student may:
· Make
connection with
other concepts
in math
· Make
connection with
other content
areas.
The student will be
able to use units to
solve multi-step
contextual
problems.
- choose,
convert, interpret
and justify
appropriate units
in the context of a
problem
-interpret and
create graphical
representations of
scenarios.
The student
will be able
to choose
and convert
units to solve
multi-step
contextual
problems.
-interpret
graphical
representati
ons of
scenarios.
With help
from the
teacher, the
student has
partial
success with
using units
to solve
multi-step
contextual
situations.
Even with
help, the
student has
no success
with using
units to
solve multistep
contextual
situations.
HOW MUCH GIFT WRAP
DO YOU NEED?
• A roll of birthday gift wrap contains 2.5
meters of paper. What is the length of the
paper in yards?
• Step 1: Write down the known values and
the unknown values:
• Known = length of paper is 2.5 meters.
• Unknown = length of paper in yards
• Step 2: Find the conversion factor that gives
the ratio between meters and yards.
• Conversion Factor is 1 meter = 1.09 yards
HOW MUCH GIFT WRAP
DO YOU NEED?
• Step 3: Write the conversion factor as a
fraction with the unit you want to convert to
on top and set the problem up as an
equation.
• 2.5 meters • 1.09 yards
meters
• 2.725 yards
Meters will cross cancel out
leaving you with your
answer in yards.
METRIC MAYHEM
• Convert 325 millimeters to meters.
• Step 1: Write down the known values and
the unknown values:
• Known = length in mm is 325
• Unknown = length in meters
• Step 2: Find the conversion factor that gives
the ratio between meters and millimeters.
• Conversion Factor is 1 meter = 1,000 millimeters
METRIC MAYHEM
• Step 3: Write the conversion factor as a
fraction with the unit you want to convert to
on top and set the problem up as an
equation.
• 325 mm • 1 meter
1,000 mm
• 0.325 meters
The unit millimeters will cross
cancel out leaving you with
your answer in meters.
TIME FLIES!
• How many centuries are in 237,439 days?
• Step 1: Write down the known values and
the unknown values:
• Known = number of days 237,439
• Unknown = number of centuries
• Step 2: Find the conversion factor that gives
the ratio between days and centuries.
• We do not have a conversion factor for centuries/days. So
we need to go from days to the nearest unit we know. We
know that there are 365 days in a year. We know that there
are 100 years in a century.
TIME FLIES!
• Step 3: Write the conversion factor as a
fraction with the unit you want to convert to
on top and set the problem up as an
equation.
The unit days
• 237,439 days • 1 year • 1 century
365 days 100 years
• 6.51 centuries
and years
will cross
cancel out
leaving you
with your
answer in
centuries.
HOW FAST IS THAT?
• Convert 52 km/h (kilometers per hour) to m/s
(meters per second).
• Step 1: Write down the known values and the
unknown values:
• Known = 52 km/h
• Unknown = m/s
• Step 2: Find the conversion factors that gives
the ratio between kilometers and meters AND
hours to seconds.
• Conversion Factor is 1 kilometer = 1,000 meters
• Conversion Factor is 1 hour = 3,600 seconds
HOW FAST IS THAT?
• Step 3: Write the conversion factor as a
fraction with the unit you want to convert to
on top and set the problem up as an
equation.
• 52 km • 1,000 m • 1 hr
1 hr
1 km
3,600 sec.
• 14.4 m/s
The unit km and
hours will cross
cancel out
leaving you with
your answer in
meters per
second.