Converting Standard Measurements How easy is this??? Converting Standard Measurements There has to be a better way… Smaller Unit Larger Unit 12 inches 1 foot 3 feet 1 yard 1760 yards 1 mile 5280 feet 63,360 inches

Using the S.I. Units Metric System S.I. units are so easy to work with because they are based on multiples of 10!

the S.I. Units The S.I. units stand for in French “Système international d'unités ” We just say “The International System of Units” S.I. units are the same as the metric system units.

In The Metric System… There is one basic unit for… Length (meter) Volume (liter) Mass (gram) Each smaller unit is easy to convert to the larger unit and vice versa! This chart can be used for each of the basic units The values do not change for liters… Or Grams! Smaller Unit Larger Unit 1000 grams 1 kilogram 100 grams 1 hectogram 10 grams 1 decagram 10 decigrams 1 gram 100 centigrams 1000 milligrams Smaller Unit Larger Unit 1000 meter 1 kilometer 100 meter 1 hectometer 10 meter 1 decameter 10 decimeters 1 meter 100 centimeters 1000 millimeters Smaller Unit Larger Unit 1000 liter 1 kiloliter 100 liter 1 hectoliter 10 liter 1 decaliter 10 deciliters 1 liter 100 centiliters 1000 milliliters

Using the Metric System is easy!!! To simplify things, very large and very small objects are expressed as multiples of ten of the base unit For example…The Nile River is 6,650,000 meters long, or “6,650 thousand” meters long Instead of saying this, insert the prefix "kilo" (meaning 1,000) to the base unit "meter" to give us “6,650 kilometers” Metric prefixes can be used with any base unit For example… A kilometer is 1,000 meters A kilogram is 1,000 grams A kiloliter is 1,000 liters

Using the Metric System is easy!!! Base the subunit you use on whichever is closest to the size of the object you are measuring It wouldn't make sense to measure your weight in grams for the same reason that you wouldn't measure it in ounces - the unit is too small You would express your weight in a unit that makes sense, in this case: kilograms, because 1 kilogram is equal to 1000 grams (1 kilogram = 2.2 lbs) 1 kilogram 1000 grams They are the same!

Common Metric Prefixes How do I do it? Common Metric Prefixes Unit Multiples kilo- k 1000 hecto- h 100 Deca-or Deka da 10 basic unit (m, L, g) 1 deci- d 0.1 (1/10) centi- c 0.01 (1/100) milli- m 0.001 (1/1000) The metric system is called a decimal-based system because it is based on multiples of ten Six common prefixes used in the metric system are listed as follows…

NOTES: The Metric Ladder Metric Prefixes Step 1: Determine if you are converting to a larger or smaller unit. Going up the ladder  move decimal left (1 cm = 0.1 dm) Going down the ladder  move the decimal right (1 cm = 10 mm) Step 2: Decide how many spaces up or down the ladder you need to move. Step 3: Move your decimal point that many spaces.

Moving to the Right Practice Problem: How many centimeters are in 1 meter? Step 1: You know the larger unit (meters). You don’t know the smaller unit (centimeters). This means you will be converting to a smaller unit. (Move the decimal point to the right) Step 2: Looking at the ladder, you see that from the meter  centimeter there are 2 steps, or 2 decimal points. Step 3: Move your decimal point 2 place values (1.000 meters  10.00 decimeter  100.0 centimeters) Therefore, 1 meter = 100 centimeters.

Moving to the Left Practice Problem: How many meters are in 1 centimeter? Step 1: You know the smaller unit (centimeters). You don’t know the larger unit (meters). This means you will be converting to a larger unit.(Move the decimal point to the left) Step 2: Looking at the ladder, you see that there are 2 steps, or 2 decimal points, from the centimeter to the meter. Step 3: Move your decimal point 2 place values (1.0  0.1  0.01) Therefore, 1 centimeter = 0.01 meters

How Can I Remember the Order of the Metric System How Can I Remember the Order of the Metric System? Try a Metric Ladder Mnemonic! Kilo- Hecto- Deca- BASIC UNIT Deci- Centi- Milli- Kittens Hate Dogs BECAUSE Can’t Meow Other mnemonics… Kids have dropped over dead converting metrics King Hector died by drinking chocolate milk

Homework Problems How many meters are in 1 kilometer? How many milligrams are in 1 gram? How many grams are in a dekagram? How many meters are in a centimeter? Questions to ask yourself: Are you going to a smaller or larger unit? Which way will you move the decimal? (smaller-right; larger-left) How many spaces do I move? (Use the Metric Ladder to help)

Accelerated Bellwork: Wednesday 9/2/09 Reminder (Do in this order! ) Get your “Bellwork” from the table as you enter Place your homework in a pile in the center of your table Write your objective/homework in your Agenda Begin your Bellwork Solve the following conversions: 75 meters = _____ centimeters 30 centimeters = _____ millimeters 10 meters = _____ hectometers 150 centimeters = _____ meters 5 hectometers = _____ kilometers

Accelerated Solutions 75 meters = 7500 centimeters 30 centimeters = 300 millimeters 10 meters = 0.1 hectometers 150 centimeters = 1.5 meters 5 hectometers = 0.5 kilometers

Science 8 Bellwork: Wednesday 9/2/09 Reminder (Do in this order! ) Get your “Bellwork” from the table as you enter Place your homework in a pile in the center of your table Write your objective/homework in your Agenda Begin your Bellwork Solve the following conversion problems: 1 meter = _____ centimeters 5 meters = _____ millimeters 10 meters = _____ hectometers 2 kilometers = _____ meters 6000 meters = _____ kilometers

Science 8 Solutions 1 meter = 100 centimeters 5 meters = 5000 millimeters 10 meters = 0.1 hectometers 2 kilometers = 2000 meters 6000 meters = 6 kilometers

Homework Answers How many meters are in 1 kilometer? 1 kilometer  1000 meters How many milligrams are in 1 gram? 1 gram  1000 milligrams How many grams are in a dekagram? 1 dekagram  10 grams How many meters are in a centimeter? 1 centimeter  0.01 meters

Further Practice Problems 5.6 kg = ____ g 2000 L = _____ ml 60.2 dam = _____ dm 7,100 m = _____ km Questions to ask yourself: Are you going to a smaller or larger unit? Which way will you move the decimal? (smaller-right; larger-left) How many spaces do I move? (Use the Metric Ladder to help)

Answers: 5.6 kg = 5,600 g 2000 L = 2,000,000,000 ml 60.2 dam = 6,020 dm 7100 m = 7.1 km

Practice Problems Use the next 10-15 minutes to complete the Metric Conversion worksheets

Metric Mania! This relay game will help you practice your conversion skills Everyone must participate! How to Play: When it is your turn, you will come to the front of the classroom and grab a card When you correctly convert the units, write the answer on the board, and if you are correct, you may return to your seat and send up the next member of your team The first team to complete all of the conversions WINS!