1. Lesson 1
Proportionality
Measurement

2. Warm-Up Complete each conversion. 1 foot = _____ inches
1 yard = _____ feet
1 meter = _____ centimeters
1 kilometer = _____ meters
1 day = _____ hours
1 minute = _____ seconds
1 pound = _____ ounces
1 gallon = _____ quarts

3. Target: Convert customary and metric measurements.

4. Vocabulary Conversion: The process of renaming a measurement
using different units.

5. Example 1abc
Determine the unit of measurement you should use in each situation.
a. dimensions of a room in your house
feet
b. time until school is over
hours or minutes
c. distance from home to your nearest mall
miles or kilometers

6. Example 1de Determine the unit of measurement you should use in
each situation.
d. amount of milk to buy for a family at the store
gallons or quarts
e. angle to cut flooring in a bathroom
degrees

7. Example 2 Choose a reasonable estimate. Explain each choice.
a. length of a pen: 10 cm or 10 m
10 cm. One meter is about the length of a yard stick.
b. distance to school on a bus: 20 m or 20 km
20 km. You would not ride the bus 20 m (that’s about 60 feet).
c. amount of juice in a juice box: 1 pint or 1 gallon
1 pint. A gallon of juice is much to large.

8. Unit Conversions
When converting from a larger unit to a smaller unit, MULTIPLY ( × ).
When converting from a smaller unit to a larger unit, DIVIDE ( ÷ ).

9. Example 3ab Complete each conversion. a. 4 yards = ___ feet
Find the conversion factor yard = 3 feet
Yards are larger units, multiply (3) = 12
4 yards = 12 feet
b. 48 ounces = ___ pounds
Find the conversion factor pound = 16 ounces
Ounces are smaller units, divide ÷ 16 = 3
48 ounces = 3 pounds

10. Example 3c Complete each conversion. c. 3 hours = ___ minutes
Find the conversion factor hour = 60 minutes
Hours are larger units, multiply (60) = 180
3 hours = 180 minutes

11. Example 4 Convert 4 kilometers to centimeters.
First convert 4 km to meters, then to centimeters.
Find the conversion factor for km to m:
1 kilometer = 1000 meters
Kilometers are larger units, multiply (1000) = 4000
4 kilometers = 4,000 meters
Find the conversion factor for m to cm: meter = 100 centimeters
Meters are larger units, multiply (100) = 400,000
4 kilometers = 400,000 centimeters

12. Example 5
The second highest waterfall in Oregon is Salt Creek Falls in
the Cascade Mountain Range. It is 286 feet tall. Find its
height in:
a. inches b. yards.
a. Find the conversion factor foot = 12 inches
Feet are larger units, multiply (12) = 3432
Salt Creek Falls is 3,432 inches tall.
b. Find the conversion factor yard = 3 feet
Feet are smaller units, divide ÷ 3 ≈ 95.3
Salt Creek Falls is about 95.3 yards tall.

13. Exit Problems Complete each conversion: 40 meters = _____ centimeters
120 minutes = _____ hours
4 tons = _____ pounds

14. Communication Prompt
What is a real-world situation where you would need to
convert measurements?