Transcript Common Length Unit Abbreviations

So you want to take a walk
Standard 7.RP: Compute unit rates associated with ratios of fractions.
Please discuss in your groups
What is the relationship between rate, time
and distance?
Be prepared to discuss with the entire class
How do we talk about distance, time
and rate?
• If you were going to tell me how fast you were walking
how would you express it?
• How are rate, time and distance reflected in your
explanation of how fast you walked?
• How would you express it if you were driving, or
running. Is the underlying concept any different?
Discuss in groups and be prepared to discuss it as a class.
Metric System Conversion Chart
Abbreviations
• Common Length Unit Abbreviations:
•
millimeters = mm
centimeters = cm
inches = in
meters = m
feet = ft
kilometers = km
miles = miles
Conversion tables
Metric Conversions
1 centimeter
1 meter
1 kilometer
= 10 millimeters
= 100 centimeters
= 1000 meters
1 cm
1m
1 km
= 10 mm
= 100 cm
= 1000 m
Standard Conversions
1 foot
1 yard
1 yard
1 mile
= 12 inches
= 3 feet
= 36 inches
= 1760 yards
1 ft
1 yd
1 yd
1 mi
= 12 in
= 3 ft
= 36 in
= 1760 yd
Metric to Standard
1 millimeter
1 centimeter
1 meter
1 meter
1 meter
1 kilometer
1 kilometer
= 0.03937 inches
= 0.39370 inches
= 39.37008 inches
= 3.28084 feet
= 1.09361 yards
= 1093.6133 yards
= 0.62137 miles
1 mm
1 cm
1m
1m
1m
1 km
1 km
= 0.03937 in
= 0.39370 in
= 39.37008 in
= 3.28084 ft
= 1.09361 yd
= 1093.6133 yd
= 0.62137 mi
Standard to Metric
1 inch
1 foot
1 yard
1 yard
1 mile
1 mile
= 2.54 centimeters
= 30.48 centimeters
= 91.44 centimeters
= 0.9144 meters
= 1609.344 meters
= 1.609344 kilometers
1 in
1 ft
1 yd
1 yd
1 mi
1 mi
= 2.54 cm
= 30.48 cm
= 91.44 cm
= 0.9144 m
= 1609.344 m
= 1.609344 km
• If a person walks ½ mile in each ¼ hour, compute
the unit rate as the complex fraction
½ / ¼.
Questions to consider
How is this fraction related to a ratio? Is there any
difference? What elements are we using to explain
our rate?
Solve this using a mathematical model in groups. Be
prepared to discuss your model with your class.
Have them count in non standard
measurement
• We are going to use the Outside Unit Packet
• With a partner count the number of steps in 10 feet
then switch and have your partner count. Are they the
same. Why or why not?
• With a partner count the number of Mississippi's in 10
feet then switch. Are they the same. Why or why not?
• How is counting using Mississippi potentially
problematic? Discuss in groups and then be prepared
to discuss as a class.
Outside Unit Tables
You
Partner
Number of steps taken in 10 feet
Number of Mississippi’s taken in 10
feet
Multiply
Steps taken in 100 feet
Steps taken in 10 feet
You
Partner
Mississippi’s taken in 10 feet
You
Partner
X 10
X 10
Mississippi’s taken in 100
feet
X 10
X10
Multiply
Steps taken in 1000 feet
Steps taken in 10 feet
You
Partner
Mississippi’s taken in 10 feet
You
Partner
X 100
X 100
Mississippi’s taken in 1000
feet
X 100
X100
Multiply
Steps taken in 10000 feet
Steps taken in 10 feet
You
Partner
Mississippi’s taken in 10 feet
You
Partner
X 1000
X 1000
Mississippi’s taken in
10000 feet
X 1000
X1000
Putting it together
You
Rate =D
T
steps
Mississippi’s
Partner
Partner
steps
Mississippi’s
Time = D
T
Number of Mississippi’s
(taken from first table)
Number of Mississippi’s
(taken from first table)
Distance =R T
Number of steps (taken
from first table)
10 feet
Number of steps (taken
from first table)
Question: Based on the data from your table how long would it
take you to travel 5 miles?
How long would it take your partner to travel 5 miles? Draw a
table to organize your information. Hint Use your rate and times
from the above table. There are 5,280 feet in a mile.
Extension
Challenge: How long would it take you
to travel 5 Kilometers?
Hint there are 2.54 cm in one inch.
Please make use of the metric system
graphic organizer on the website.