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THE METRIC SYSTEM Converting Units
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COMMON CORE STANDARDS 6.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
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OBJECTIVES Students will be able to:
Convert metric measurements using 2 different strategies Solve real world metric conversion problems Use a mnemonic device to help remember the order of the metric system
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Mass - weight In the metric system, all units are defined in terms of a basic unit. The basic unit of mass in the metric system is the gram.
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Everyday items you could use to associate with mass in the metric system.
milligram - a grain of salt gram - large paper clip kilogram - math textbook
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Mass - grams 1 gram = 1000 milligrams 1 kilogram = 1000 grams
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Measurement Conversion
Strategy I Using a bridge map can help organize your thinking when converting from one metric unit to another.
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Bridge Map as (just like) Relating factor
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Metric Length Conversion
Example: 1 kg = 1000 g 3000 3 kg = _____ g Large to small 3 x 1000 = 3000 1 kg 3 kg as 1000 g (just like) 3000 g is equal to Relating factor X 1000
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Metric Length Conversion
Example: 1000 g = 1 kg 6 6000 g = ___ kg Small to large 6000 ÷ 1000 = 6 1 kg 6 kg as 1000 g (just like) 6000 g is equal to Relating factor ÷ 1000
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Metric Length Conversion
Example: 1 g = 1000 mg 7000 7 g = _____ mg Large to small 7 x 1000 = 7000 1 g 7 g as 1000 mg (just like) 7000 g is equal to Relating factor X 1000
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Metric Length Conversion
Example: 1000 mg = 1 g 4 4000 mg = ___ g Small to large 4000 ÷ 1000 = 4 1 g 4 g as 1000 mg (just like) 4000 mg is equal to Relating factor ÷ 1000
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Capacity - volume In the metric system, all units are defined in terms of a basic unit. The basic unit of capacity in the metric system is the liter.
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Everyday items you could use to associate with capacity in the metric system.
milliliter - 10 drops of food coloring liter - a small pitcher of water kiloliter – hot tub or spa
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Capacity - liters 1 liter = 1000 milliliters 1 kiloliter = 1000 liters
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Bridge Map as (just like) Relating factor
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Metric Length Conversion
Example: 1 L = 1000 mL 9000 9 L = _____ mL Large to small 9 x 1000 = 9000 1 L 9 L as 1000 mL (just like) 9000 mL is equal to Relating factor X 1000
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Metric Length Conversion
Example: 1000 mL = 1 L 2 2000 mL = ___ L Small to large 2000 ÷ 1000 = 2 1 L 2 L as 1000 mL (just like) 2000 mL is equal to Relating factor ÷ 1000
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Try These: 23.4 234mm = _______cm 1500mL = _______L 400g =_______kg
1.5 0.4
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Let’s Try Another Strategy!
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Making Conversions You can convert from one metric unit to another by multiplying or dividing by a power of 10 (10, 100, 1,000, etc). When changing from larger units to smaller units, you multiply. When changing from smaller units to larger units, you divide.
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LADDER METHOD Strategy II
To convert to a larger unit, move decimal point to the LEFT or divide by 10. To convert to a smaller unit, move decimal point to the RIGHT or multiply by 10. Kilo 1000 Hecto 100 Deca 10 Base Units meter gram Liter 1 Deci 0.1 Centi 0.01 Milli 0.001
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USE THE LADDER METHOD 3000 mg = ______ g
Step 1: Determine if you are going to go up or down the ladder. (To the right or to the left of the base unit) Step 2: Determine how many steps there are from milligrams to grams. Step 3: Move the decimal point the amount of places that was determined in steps 1 & 2. Kilo Hecto Deca Base Units meter gram Liter Deci Centi Milli
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Now Try These: 6578 kg=_________g 330mm=___________cm
6,578,000 6578 kg=_________g 330mm=___________cm 5010 dl=___________ml 250cm=_____m 33 501000 2.5_ Kilo 1000 Hecto 100 Deca 10 Base Units meter gram Liter 1 Deci 0.1 Centi 0.01 Milli 0.001
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Classwork: Complete this Online Interactive to help you convert metric units
Homework: Reteaching/ Practice 9.2 HO
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