Measurement How will you measure up?

Measurement Chart We can measure… Using these tools… Customary units Metric units Time Temperature Volume Capacity Weight Mass Area Linear measurement: length, width, height, perimeter

Measurement Chart We can measure… Using these tools… Customary units Metric units Time Clock, watch day, hr, min, sec sec Temperature Thermometer °F °C K Volume Capacity Beaker, graduated cylinder, measuring cups, volumetric flask, ruler Cups, tsp, tbs ft3 Liter cm3 1mL = 1 cm3 Weight Scale, lbs Kg m/s2 Mass triple beam balance, spring scale oz gram Area Ruler in2, ft2, yd2 m2 Linear measurement: length, width, height, perimeter Inch, foot, yard, mile meter

Customary equivalencies

G Q Q Q Q PP PP PP PP Big G How many cups in a quart? How many pints in a gallon? How many cups in a gallon? Q PP Q PP G cc cc cc cc Q Q PP PP cc cc cc cc

Convert metric measures simply by moving the decimal. Metric Measurements Length Weight Capacity 1 km = 1,000 m 1 kg = 1,000 g 1 L = 1,000 mL 1 m = 100 cm 1 g = 1,000 mg 1 cm = 10 mm Convert metric measures simply by moving the decimal.

What are the standard metric units? Questions Notes What are the standard metric units? Meter measures length or distance - Liter measures volume or capacity - kilogram measures weight or mass We have standards so that we can calibrate measurements . In ancient times some measurements were variable (1 cubit = 1 forearm, but whose arm?) With commerce came standard. In Germany they have poles and weights kept at the town hall that were the “standards”. Everyone in town would come to the town hall to use these standards to measure their goods. Q: What if we didn’t have standards? What if the standard for weight was different at each grocery store? M – just bigger than a yard; 3.3 ft ( a 10 ft pole is a 3 meter pole) Cm – a little smaller than the width of your little finger Mm – width of a pencil lead, or a fingernail Km – 0.6 miles (over a ½ mile) G – mass of 2 or 3 small paperclips or mass of a dollar bill Kg = 2.2 lbs L – just larger than a quart mL – volume of 3 pennies

Prefixes Try this: Convert 3.2 ft to inches Try this: Convert 3.2 meters to centimeters Allow us to convert between large and small units easily Notice that all I had to do was move the decimal – so much easier

Prefixes you already know Centi Century % Milli Millennium

How do I convert between metric units of measure? Questions Notes How do I convert between metric units of measure? Kilo Hecto Deca Base Deci Centi Milli King Henry Died By Drinking Chocolate Milk 1) Write out KHDBDCM. Put a dot over the prefix of the given unit. Put another dot over the prefix of the unit you are trying to find. 2) Notice the direction and number of “hops” you have to make to get from the original prefix to the other. 3) Move your decimal the same number of “hops” in the same direction to get your answer.

Sports Application The high-jumper cleared a height of 1.75 m. How many centimeters is this height? A centimeter is 2 places to the right of a meter in the chart. 1.75 m = cm. 1 m = 100 cm. You are converting a bigger unit TO a smaller unit. Multiply by 100. 1.75 m = (1.75 • 100) cm Move the decimal point 2 places to the right. 1.75 m = 175 cm

Using Powers of Ten to Convert Metric Units of Measurement The CD case is 14 cm wide. 14 cm = _____ m 100 cm = 1 m, smaller unit TO bigger unit, so divide by 100. 14 cm = (14 ÷ 100) m Move the decimal point 2 places to the left. 14 cm = 0.14 m Make sure you are multiplying or dividing by the correct power of ten. Caution!

Metric Conversion Practice Convert. 1. A book is 24 cm long. 24 cm = ____ mm 2. The chain has a mass of 16 g. 16 g = _____ mg 3. The volume of the liquid was 12,000 mL. 12,000 mL = ____ L 4. Frank’s paper airplane glided 78.9 m. Sarah’s plane glided 85 m. How many more centimeters did Sarah’s plane glide? 240 16,000 12 610 cm

What metric unit would you use to measure length or distance? METERS

What metric unit would you use to measure volume? LITERS

What metric unit would you use to measure weight? GRAMS

What metric unit would you use to the distance to the mall? Kilometers

What metric unit would you use to the width of your paper? Centimeters or Millimeters

What metric unit would you use to the weigh yourself? Kilograms

What metric unit would you use for the amount of water to fill a tub? Liters

What metric unit would you use for the amount of water to fill a pool? Kiloliters