Measurement

Ontario 10 Applied (MFM2P)

Appropriate choice of imperial units

Lesson

You may or may not know that there are two common systems of measurement: the metric system (e.g. metres, litres and kilograms) and the imperial system.

The imperial system was common in the United Kingdom in the mid-nineteenth century and is still used for some measurements. It is also still used in the United States. So let's get familiar with imperial measurements of length, mass and capacity.

Length of a measure of distance from one point to another. Here are a list of imperial units used to measure length in order from smallest to largest:

- Inch ("): this is a small unit of measurement.
- Foot (ft): $12$12 inches make $1$1 foot. A foot is about as long as a $30$30cm ruler.
- Yard (yd): a yard is equivalent to $3$3 feet. This is about as long as a guitar.
- Mile (mi): this is a large unit of measurement. A mile is $1760$1760 yards and is equivalent to about $2000$2000 steps.

When we weigh something, we are actually measuring its mass. Mass is a measure of how heavy something is, such as a bag of oranges, a suitcase or even a person. Here are a list of imperial measurement units in order from smallest to largest:

- Ounce (oz): a slice of bread is about an ounce.
- Pound (lb): there are $16$16 ounces in a pound. People are generally weighed in pounds.
- Stone (st): a stone is equivalent to $14$14 pounds. This is not as common but people can be weighed in stones.
- Ton: $2000$2000 pounds equals $1$1 ton. Tons are used to weigh heavy things like cars, trucks and elephants.

Capacity is a measure of the amount something can contain, for example, how much juice will fit in a bottle. Here are a list of imperial measurement units that relate to capacity in order from smallest to largest:

- Pint (pt): a pint is a relatively small unit of measurement. A small carton of milk is about a pint.
- Quart (qt): a quart is $2$2 pints (or a quarter of a gallon). A large bottle of milk or juice, like the one pictured is about a quart.
- Gallon (gal): a gallon is equivalent to $8$8 pints. The amount of gas you put in a car is usually measured in gallons.

Which imperial units would you use to measure these in?

Choose all appropriate options.

The length of your kitchen at home.

Inches

AYards

BGallons

CMiles

DFeet

ETons

FInches

AYards

BGallons

CMiles

DFeet

ETons

FThe distance from London to New York.

Feet

AMiles

BInches

CStones

DQuarts

EYards

FFeet

AMiles

BInches

CStones

DQuarts

EYards

FThe length of a pencil.

Yards

AInches

BMiles

CFeet

DPints

EOunces

FYards

AInches

BMiles

CFeet

DPints

EOunces

F

Complete the sentence, choosing the correct imperial unit for the space.

You need $4$4 ________ of flour to make enough biscuits for $6$6 people.

ounces

Apounds

Bstones

Ctons

Dounces

Apounds

Bstones

Ctons

DTom's mother had a baby this week, she weighs about $7$7 ________.

ounces

Astone

Bpounds

Ctons

Dounces

Astone

Bpounds

Ctons

DSarah is fifteen years old, she weighs about $8$8 ______.

tons

Astone

Bpounds

Counces

Dtons

Astone

Bpounds

Counces

D

Complete the sentence, choosing the correct imperial unit(s) for the space.

This carton of milk contains 1 _______.

pound

Agallon

Bton

Cpint

Dpound

Agallon

Bton

Cpint

DDavid dances a lot. He has to drink about 4 ______ of water every day.

gallons

Aounces

Bpounds

Cpints

Dgallons

Aounces

Bpounds

Cpints

D

Use the imperial system when solving measurement problems