Measurement systems

Measuring in Metric Units (1-5, pg 26)

Customary system (3-6, pg 148)

Comparing the two

Metric• Most used around the

world• Measurements are easy

to convert because it is a decimal system

• Units– Length: Meter– Capacity: Liter– Weight: gram

Customary• Mostly used in the united

states• Certain equivalencies are

necessary to make conversions

• Units– Length: Inch, foot, yard,

mile– Capacity: fl oz, cup, pint,

quart, gallon– Weight: Ounce, pound, ton

Sample problems

Find the following equivalencies

•How many centimeters are on 3.4 decameters?

•How many kilometers are in 345 mts?

•How many mts are there on 45 mm?

How to convert in the metric system

Metric stairs

How to convert in the metric system

Using a table

Kilo Hecto Deca Unit deci centi mili

How to convert in the metric system

Using the “rule of three”– Label columns– Be organized– Solve by cross multiplication

How to convert in the Customary System

Type Unit EquivalentsLength Inch (in)

Foot (ft)

Yard (yd)

Gallon (gal)

1ft = 12 in

1 yd= 3ft

1 mi = 5280 ft

Capacity Fluid Ounce (fl oz)

Cup ( c )

Pint (pt)

Quart (qt)

Gallon (gal)

1 c = 8 fl oz

1 pt = 2c

1qt = 2pt

1 gal = 4qt

Weight Ounce (oz)

Pound (lb)

Ton (t)

1lb = 16 oz

1 t= 2000 lb

How to convert in the customary system

Using the “rule of three”– Label columns– Be organized– Solve by cross multiplication

Sample problems– 5ft, 3 in to yd– 3 cups to pints – 3 cups to fl oz– 76 oz to lb– 5 lb to oz

In class activity

• Champion– The Amazon river is about 4,000 miles, how many

feet is this?

• I get it– Baby crocodiles are about 8 in when they hatch and

they grow about ten inches each year, how many feet long are they when they are 4 years old?

• Not very sure– You are hiking a 2 mile trail, when you have hiked

1000 ft, how many feet you have left?

Conversions between Systems

Practice

• 5 mts to yards

• 47 ft to mts

• 3 miles to kms

• 20 grams to oz

• 82 kilograms to pounds

• 30 liters to quarts and gallons

Word Problem

• There’s a debate between where is more expensive to buy gas, in Chicago or Mexico city. Today a gallon of gas is going for 3.44 usd. In Mexico the gas is going for 0.80 usd per liter.

Word problem Find the dimensions in mts of what is given for a soccer field.

• DimensionsThe overall dimensions of a regulation soccer field is 100 yards long and 60 yards wide.

• Center CircleIn the center of the field a 10 yard circle marks the area where defenders must stay outside of at the start of a kickoff

• Penalty AreaA rectangular box (sometimes called the "penalty box") centered on the goal marks the penalty area. This box is 44 yards wide by 18 yards deep. It includes an arc 10 yards from the "penalty mark". Fouls committed in this area may result in a penalty kick.

• Penalty MarkThe penalty mark inside the "penalty area" 12 yards from the end line. The penalty mark is where "penalty kicks" are placed.

• Goal Area The goal area is a smaller rectangle inside the "penalty area", centered on the goal. The measurements of this box are 20 yards wide by 6 yards deep. This box marks the area from which a goal kick must be placed.

• Corner KickA one yard quarter circle is marked on each corner of the field to mark where a player must place the ball prior to a corner kick.

• The GoalThe adult soccer goal is 24 feet wide by 8 feet high.

Soccer field dimensions