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

S = H – 3549 = 2, ÷ 6 = G x L = x D = Name the next 3 numbers: 11, 22, 33, 44, _____, _____, _____

7. Which figure has more vertices? Hexagon or Square 8. Write in standard form: ,000, , 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

length is measured in meters  Distance to the neighbor’s house

length is measured in meters  length of a spool of twine

length is measured in meters  width of your bedroom

mass is measured in grams  weight of a bunch of grapes

mass is measured in grams  weight of a your dog

mass is measured in grams  weight of a bar of gold

volume is measured in liters  a beaker of solution

volume is measured in liters  a bottle of water

volume is measured in liters  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

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 = meters is a big number, but what if you could add a prefix onto the base unit to make it easier to manage: meters = 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 hectodeca Base Units meter gram liter deci centimilli

From each prefix every “step” is either: 10 times larger or 10 times smaller For example Centimeters are 10 times larger than millimeters 1 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 hectodeca meter liter gram deci centimilli

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 …

Died.

Metric Conversion Mnumonic Kk King (kilo, 1,000) Hh Henry (hecto, 100) Dd Died (deka, 10) UU Unexpectedly (Unit- 1 l, m, g) Dd Drinking (deci 1/10) Cc Chocolate (centi 1/100) Mm Milk (milli, 1/1,000)

MILLI CENTI 0.01 KILO 1000 HECTO 100 DEKA 10 DECI 0.1 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? 1 st – Determine your starting point. 2 nd – Count the “jumps” to your ending point. 3 rd – Move the decimal the same number of jumps in the same direction.

MILLI CENTI 0.01 KILO 1000 HECTO 100 DEKA 10 DECI 0.1 Base Unit 4 km = _________ m How many jumps does it take? Starting Point Ending Point km = m 4000

MILLI CENTI 0.01 KILO 1000 HECTO 100 DEKA 10 DECI 0.1 Base Unit 45 g = _________ mg How many jumps does it take? Starting Point Ending Point g = mg 45000

MILLI CENTI 0.01 KILO 1000 HECTO 100 DEKA 10 DECI 0.1 Base Unit 3000 l = _________ hl How many jumps does it take? Starting Point Ending Point l = 30.0 hl 30

MILLI CENTI 0.01 KILO 1000 HECTO 100 DEKA 10 DECI 0.1 Base Unit 500 m = _________ cm How many jumps does it take? Starting Point Ending Point m= 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:

Online Practice Metric Pop-ups Metric Problem Solver

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 did each of them work?

Answer: Anthony 1/2 hour Amelia 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

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