Math Grade 4 Mrs. Ennis Metric Units of Measurement Lesson Thirty.

Math Grade 4Mrs. Ennis

Metric Units of MeasurementLesson Thirty

1. 348 + 506 + S = 1124

2. H – 3549 = 2,474

3. 24 ÷ 6 = G

4. 42 x L = 168

5. 8 x D = 48

6. Name the next 3 numbers: 11, 22, 33, 44, _____, _____,

_____

7. Which figure has more vertices? Hexagon or Square

8. Write in standard form: 400 + 7,000,000 + 1,000 + 2

9. Sheila said, “I lost 2 coins. I had $5.96. Now I only have 1 five-dollar bill, 2 quarters, 2 dimes, 1 nickel and 1 penny.” What coins did she lose?

10. One package of hamburger buns for 8 burgers. How many packages of rolls do you need for 28 burgers?

Metric Units of Measurement

Metric System

• The metric system is based on a base unit that corresponds to a certain kind of measurement•Length = meter•Volume = liter•Weight (Mass) = gram

length is measured in meters

a football

field


Distance to the neighbor’s house


length of a

spool of twine


width of your

bedroom

mass is measured in grams

weight of a

bunch of grapes


weight of a your

dog


weight of a bar of gold

volume is measured in liters

a beaker

of solution


a bottle of water


paint in a bucket

• Prefixes plus base units make up the metric system –Example:•Centi + meter = Centimeter•Kilo + liter = Kiloliter•Milli + gram = Milligram

Metric System

Metric System• So if you needed to measure

length you would choose meter as your base unit–Length of a tree branch•1.5 meters

–Length of a room •5 meters

–Length of a soccer field•100 meters

Metric System

• But what if you need to measure a longer distance, like from your house to school?

Let’s say you live approximately 10 miles from school

10 miles = 16093 meters

16093 is a big number, but what if you could add a prefix onto the base unit to make it easier to manage:

16093 meters =

16.093 kilometers (or 16.1 if rounded to 1 decimal place)

Metric System

• These prefixes are based on powers of 10. What does this mean?

kilo hecto deca

Base Units

metergramliter

deci centi milli

From each prefix every “step” is either:

10 times larger or

10 times smaller

For exampleCentimeters are 10 times larger than millimeters1 centimeter = 10 millimeters

Metric System Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length

1 centimeter = 10 millimeters

Example not to scale

Metric System

• For each “step” to right, you are multiplying by

10

• For each “step” to the left,

you are dividing by 10

kilo hecto deca

meterliter

gramdeci centi milli

The Story of King Henry

Once upon a time in a faraway land there lived a king who loved chocolate milk. His name was King Henry.

Throughout his kingdom, King Henry made sure that all of the cows were fed great supplies of chocolate to continue to provide him with his beloved chocolate milk drink.

King Henry drank chocolate milk

with his breakfast. He drank chocolate milk with his lunch.

He drank chocolate milk with his dinner. He even drank

chocolate milk for his bedtime snack. King Henry drank chocolate milk by the liters!

King Henry wanted all living creatures in his kingdom to enjoy chocolate milk as much as he did. However, a liter was not the best serving size for every creature. The Royal Carpenter was called for and the command was given for new serving vessels to be created to fit every creature in the kingdom.

For the creatures smaller than the king, the Royal Carpenter designed deciliters that were 1/10th the size of a liter, centiliters that were 1/100th the size of a liter, and milliliters that were 1/1000th the size of a liter. The milliliters were just right for the Royal Beetles and Bugs of the kingdom.

For the creatures greater than the king, the Royal Carpenter designed dekaliters that were 10 times the size of a liter, hectoliters that were 100 times the size of a liter, and kiloliters that were 1000 times the size of a liter. The kiloliters were just right

for the Royal Elephants of the kingdom.

The Royal Carpenter lined the vessels up in his workroom from largest to smallest to show the king. The king’s vessel was in the center of the line, for the king was the center of the kingdom. The vessels were arranged in the following order:kiloliter, hectoliter, dekaliter ,Liter, deciliter, centiliter, milliliter

King Henry loved the new vessels. The Carpenter explained that the sizes increased and decreased from the king’s liter, by multiples of ten. He told him how to convert between the sizes by multiplying or dividing by ten. The king wondered how he would remember the order of the vessels.

The Royal Carpenter said, “I remember the order by saying ‘King Henry Does Usually Drink Chocolate Milk’ and then I have no problem remembering the order.”

“That is exactly right!” said King Henry. “Now I shall remember the sizes of the vessels!”

He took another big drink of chocolate milk and …

Metric Conversion Mnumonic

• King (kilo, 1,000)

• Henry (hecto, 100)

• Died (deka, 10)• Unexpectedly (Unit- 1 l,

m, g)• Drinking (deci 1/10)• Chocolate (centi

1/100)• Milk (milli,

1/1,000)

MILLI0.001

CENTI0.01

KILO1000 HECT

O100

DEKA10

DECI0.1

Base Unit

Meter, Gram, Liter

To convert to a larger unit, move decimal point to the left or divide.

To convert to a smaller unit, move decimal point to the right or multiply.

How do you use the “ladder” method?

1st – Determine your starting point.

2nd – Count the “jumps” to your ending point.

3rd – Move the decimal the same number of jumps in the same direction.

MILLI0.001

CENTI0.01

KILO1000 HECT

O100

DEKA10

DECI0.1

Base Unit

4 km = _________ m

How many jumps does it take?

Starting Point Ending Point

12

3 4.0 km = 4000.0 m

4000

MILLI0.001

CENTI0.01

KILO1000 HECT

O100

DEKA10

DECI0.1

Base Unit

45 g = _________ mg



12

3

45.0 g = 45000.0 mg

45000

MILLI0.001

CENTI0.01

KILO1000 HECT

O100

DEKA10

DECI0.1

Base Unit

3000 l = _________ hl



12 3000.0 l = 30.0 hl

30

MILLI0.001

CENTI0.01

KILO1000 HECT

O100

DEKA10

DECI0.1

Base Unit

500 m = _________ cm



12

500.0 m= 50000.0 cm

50,000

1000 mg = _______ g

1 l = _______ ml

160 cm = _______ mm

14 km = _______ m

109 g = _______ kg

250 m = _______ km

Try these on your own:

10001

160014000.109.250

Online Practice

Metric Pop-ups

Metric Problem Solver

http://www.quia.com/pop/29582.html?AP_rand=1368403958


Math Fun:Anthony and Amelia spent a total of two hours putting up notices for their neighborhood talent show. They posted notices all over town.

Amelia worked three times as long as Anthony putting up signs. How long dideach of them work?

Answer:Anthony 1/2 hourAmelia 1 1/2 hours

Divide 2 hours into 4 parts (3 for Amelia and 1 for Anthony) of 30 minutes each.

Anthony worked 30 minutes (1/2 hour) and Amelia worked 3 x 30 minutes or 1 1/2 hours

http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf

Resources:

http://math.pppst.com/metrics.html



http://www.quia.com/cm/8967.html?AP_rand=952795641

Math Grade 4 Mrs. Ennis Metric Units of Measurement Lesson Thirty.

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