Target: Convert customary and metric measurements.

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

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

Review 1m = 100 cm 1g = 100 cg 1L = 100 cL Milli => 1,000 The 2nd letter: m = meter g = gram L = liter Cent => 100 $1.00 = 100 cents 1 century = 100 years 1 meter = 100 centimeters 1m = 100 cm 1g = 100 cg 1L = 100 cL Milli => 1,000 = 1,000 mm = 1,000 mg = 1,000 mL = 1,000 cc

Think 1 Quart = 1 Liter 1 Yard = 1 meter Width of the doorway 1 gram (1g) = a paper clip 1 mg = a grain of sand 1 km = 1 mile

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

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

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

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 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 juice box: 1 pint or 1 gallon 1 pint. A gallon of juice is much to large.

Example 3ab Complete each conversion. a. 4 yards = ___ feet Find the conversion factor. 1 yard = 3 feet Yards are larger units, multiply. 4(3) = 12 4 yards = 12 feet b. 48 ounces = ___ pounds Find the conversion factor. 1 pound = 16 ounces Ounces are smaller units, divide. 48 ÷ 16 = 3 48 ounces = 3 pounds

Example 3c Complete each conversion. c. 3 hours = ___ minutes Find the conversion factor. 1 hour = 60 minutes Hours are larger units, multiply. 3(60) = 180 3 hours = 180 minutes

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. 1 foot = 12 inches Feet are larger units, multiply. 286(12) = 3,423 Salt Creek Falls is 3,432 inches tall. b. Find the conversion factor. 1 yard = 3 feet Feet are smaller units, divide. 286 ÷ 3 ≈ 95.3 Salt Creek Falls is about 95.3 yards tall.

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

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. 4(1000) = 4000 4 kilometers = 4,000 meters Find the conversion factor for m to cm: 1 meter = 100 centimeters Meters are larger units, multiply. 4000(100) = 400,000 4 kilometers = 400,000 centimeters

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