3rd Grade - Convert Measurements

 
     
 
     
 
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3rd
Problem Solving
Convert Measurements
Carry out simple unit conversions within a system of measurement (e.g., centimeters and meters, hours and minutes).
Measurement and Geometry: converting measurements The ability to convert (change) units of measurement within a system of measurement. The ability to move between two different systems of measurement (U.S. and metric)
 

Sample Problems

(1)

Which of the hands points to the hour? (short) Which of the hands points to the minutes? (long) Which does the fastest of the three hands mark off as it ticks around the face of the clock? (seconds)

(2)

How is time measured?

1 hour = 60 minutes; 1 minute = 60 seconds; 1 hour = ? seconds (3,600)

1 day = 24 hours, 1 week = 7 days, 1 year = 365 ¼ days (for the Earth to travel one time around the sun). Every 4th year is a leap year because of the extra ¼ day.

The year is divided into 12 months, each with 30 or 31 days, except for February, which has 28 days (or 29 in a leap year).

(3)

How is length measured?

U.S. System of Length: 1 foot (ft.)= 12 inches (in.); 3 feet = 1 yard (yd)

The metric system is based on the decimal system and used by 95% of the world’s population.


The standard unit of length in the metric system is the meter (m). 1 millimeter (mm) = 0.001 meter, 1 centimeter (cm) = 0.01 meter (m), 1 decimeter (dm)= 0.1 meter, 1 kilometer (km) = 1000 meters

(4)

How is weight measured?

The U.S. System of Weight/Mass: There are various systems of weights around the world. We use: 1 ounce = 16 drams; 1 pound (lb.) = 16 ounces (oz.); 1 ton (tn.) = 2000 pounds.


The standard unit of mass in the metric system is the gram (g). 1 milligram (mg) = 0.001 gram, 1 centigram (cg) = 0.01 gram, 1 decigram (dg) = 0.1 gram, 1 kilogram (kg) = 1000 grams (g).

1 gram is about the weight of a paper clip and one kilogram is about the weight of a liter of water.

(5)

How are liquids measured?

The U.S. System of Volume: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 2 cups

The abbreviation for gallon is gal. The abbreviation for quart is qt. The abbreviation for pint is pts. The abbreviation for cup is c.


The standard unit of volume in the metric system is the liter (l). One liter = 1 cubic cm in volume. 1 milliliter (ml) = 0.001 liter, 1 centiliter (cl) = 0,01 liter, 1 deciliter (dl) = 0.1 liter, 1 kiloliter (kl) = 1000 liters.

1 liter is a little more than a quart and 1 teaspoon = about 5 milliliters.

Learning Tips

(1)

Have children complete this table:

The standard unit of length in the metric system is the meter (m). 1 millimeter (mm) = 0.001 meter, 1 centimeter (cm) = 0.01 meter (m), 1 decimeter (dm)= 0.1 meter, 1 kilometer (km) = 1000 meters


meters

2,000

3,000

8,000


10,000

kilometers

2



9


(2)

The standard unit of volume in the metric system is the liter (l). One liter = 1 cubic cm in volume. 1 milliliter (ml) = 0.001 liter, 1 centiliter (cl) = 0,01 liter, 1 deciliter (dl) = 0.1 liter, 1 kiloliter (kl) = 1000 liters.

1 liter is a little more than a quart and 1 teaspoon = about 5 milliliters.


milliliters

1,000

4,000



10,000

liters



6

9


(3)

The standard unit of mass in the metric system is the gram (g). 1 milligram (mg) = 0.001 gram, 1 centigram (cg) = 0.01 gram, 1 decigram (dg) = 0.1 gram, 1 kilogram (kg) = 1000 grams (g).

1 gram is about the weight of a paper clip and one kilogram is about the weight of a liter of water.


grams


2,000


8,000


kilograms

1


5


10

(4)

Length: 1 foot (ft.)= 12 inches (in.); 3 feet = 1 yard


inches

12


36



feet


2



5



Weight/Mass: There are various systems of weights around the world. We use: 1 ounce = 16 drams; 1 pound (lb.) = 16 ounces (oz.); 1 ton (tn.) = 2000 pounds.


ounces





80

pounds

1







Volume: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 2 cups


pint

4





gallon





5

(5)

The metric system is based on the decimal system/multiples of 10. Use the place value mats with the decimal system places to practice metric conversions. For example, 1 millimeter can be told to the child and the child must take a marker in the thousandths place on the mat because 1 millimeter = 1 thousandths of a meter. Have a conversion chart in front of you to make this process move more smoothly.

Extra Help Problems

(1)

How many centimeters in 1 meter? (100) How many meters in 5 kilometer? (5000) What type of measurement is done with meters? (length)

(2)

How is human body weight measured in the metric system? (kilograms)

(3)

How many grams in 1 kilogram? (1000) What type of measurement is done with grams? (weight/mass)

(4)

How many days in four years? (1,461)

(5)

How many hours in a day? (24)

(6)

How many minutes in a day? (1,440)

(7)

How many seconds in two minutes? (120)

(8)

How many seconds in two hours? (7,200)

(9)

How many days in the week? (7)

(10)

How many days in three weeks? (21)

(11)

1 meter = ? milimeters? (1000)

(12)

1,000 m = ? km (1)

(13)

Which is more 3,000 milligrams or 1 gram? (3000 milligrams)

(14)

2 kilogram = ? grams (2000)

(15)

Which is more 10 liters or 8,000 milliliters? (10 liters)

(16)

? milliliters = 8 liters (8000)

What type of measurement is done with liters? (volume)

(17)

How many inches in 1 foot? (12) Three feet? (36)

(18)

How many inches in 1 yard? (36) How many feet in 1 yard? (3)

(19)

1 gallon = ? cups (16 cups)

(20)

2 gallons of juice = ? cups (32 cups)

(21)

1 gallon = ? pints (8 pints)

(22)

1 quart = ? cups (4 cups)

(23)

2 ½ gallons of coffee = ? quarts, ? pints, ? cups (10 quarts, 20 pints, 40 cups)

(24)

½ gallon of soya = ? quarts (2 quarts)

(25)

10 gallons of fruit punch = ? cups (160 cups)

 

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