PROBLEM OF THE DAY

Jamal is 5 inches taller than Ben and 2 inches shorter than Lacy. Lacy is 9 inches taller than her brother Zach. Zach is 4 ft 3 inches tall. How tall is Ben?

CONVERTING UNIT RATESHOW CAN YOU SHOW TWO OBJECTS ARE PROPORTIONAL?

THINK ABOUT THIS…

Squirrel, chipmunks, and rabbits are capable of running at fast speeds. The table shows the top running speeds of these animals.

How many feet are in one mile?

How many seconds are in one minute? One hour?

How could you determine the number of feet per second a squirrel can run?

Animal Speed (mph)

Squirrel 10

Chipmunk 15

Cottontail Rabbit 30

CONVERTING RATES

Customary Units of Measurement

12 inches 1 foot

16 ounces 1 pound

8 pints 1 gallon

3 feet 1 yard

5,280 feet 1 mile

4 pints 1 quart

2 quarts 1 gallon

Metric Units of Measurement

100 centimeters 1 meter

1,000 grams 1 kilogram

1,000 milliliters 1 liter

10 millimeters 1 centimeter

1,000 milligrams 1 gram

EXAMPLES

A remote control car travels at a rate of 10 feet per second. How many inches per second is this?

10𝑓𝑡

1 𝑠𝑒𝑐

12in

1 ft

10𝑓𝑡

1 𝑠𝑒𝑐∙12in

1 ft

10𝑓𝑡

1 𝑠𝑒𝑐∙12in

1 ft=120 𝑖𝑛

1 𝑠𝑒𝑐

EXAMPLE

A Swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?

60 𝑚𝑖

1 ℎ𝑜𝑢𝑟

5,280 ft

1 mi

60 𝑚𝑖

1 ℎ𝑜𝑢𝑟∙5,280 ft

1 mi

60 𝑚𝑖

1 ℎ𝑜𝑢𝑟∙5,280 ft

1 mi=316, 800 𝑓𝑡

1 ℎ𝑜𝑢𝑟

EXAMPLE

Marvin walks at a speed of 7 feet per second. How many feet per hour is this?

7 𝑓𝑒𝑒𝑡

1 𝑠𝑒𝑐

60 𝑠𝑒𝑐

1𝑚𝑖𝑛

60𝑚𝑖𝑛

1 ℎ𝑜𝑢𝑟

7 𝑓𝑒𝑒𝑡

1 𝑠𝑒𝑐∙60 𝑠𝑒𝑐

1 𝑚𝑖𝑛∙60 𝑚𝑖𝑛

1 ℎ𝑜𝑢𝑟

7 𝑓𝑒𝑒𝑡

1 𝑠𝑒𝑐∙60 𝑠𝑒𝑐

1 𝑚𝑖𝑛∙60 𝑚𝑖𝑛

1 ℎ𝑜𝑢𝑟= 25,200 𝑓𝑡 𝑝𝑒𝑟 ℎ𝑜𝑢𝑟

GOT IT?

1. A gull can fly at a speed of 22 miles per hour. About how many feet per hour can the gull fly?

2. A train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth.

3. The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?

HOMEWORK

• Conversion Worksheet