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Measurement Goal 2: Length 2.01: Estimate the measure of an object in one system given the measure of that object in another system. Check What You Know Choose the tool you would use to measure each. Customary Units and Tools 1. The length of the whiteboard 2. The amount of flour needed to make a cake 3. The weight of a stapler Choose the unit you would use to measure each. 4. length of your foot- inches or yards 5. weight of a truck- pounds or tons 6. water in a pool- quarts or gallons Metric Units and Tools Choose the unit you would use to measure each. 1. The temperature outside 2. The mass of a bracelet 3. The distance across the room Choose the unit you would use to measure each. 4. distance run in a race- centimeters or kilometers 5. mass of a big dog- grams or kilograms 6. large bottle of soda- liters or millliters Vocabulary Power • • • • A unit is a quantity used as a measure Customary units are used in the USA Metric units are used all over the world. Standard units include both customary and metric units • Nonstandard units are……..( You need to define) • The precision of a measurement is related to the unit of measure you choose. The smaller the unit, the more precise the measurement will be. Customary Length • Length- the longest extent of anything as measured from end to end. Customary Units of Length 12 inches (in.) = 1 foot (ft) 3 feet= 1 yard (yd) 5,280 feet= 1 mile (mi) 1,760 yards= 1 mile Can you create a saying to help us remember these figures? Nonstandard units of length Thinking OUTSIDE the box: Why doesn’t everyone have the same answers? Are you correct and your classmates wrong? Defend your answer Explain what you know about a ruler. Be sure to include: • What is it? • What does it measure? • What do all those marks mean? • When do you use it ? How to Use a Ruler • Place the end of the ruler to the end of your object to be measured. * Be sure to check where your ruler begins. • Most rulers have 16 marks. • Use your knowledge of equivalent fractions to complete the chart. 1/16 1/8 1/4 1/2 1/16 2/16 4/16 8/16 12/16 16/16 http://www.rickyspears.com/rulergame/ Using a Ruler Use a Ruler to measure the following items and record your data: • A brand new crayon • Your pencil • A large paper clip • The width of a piece of notebook paper • The length of your desk • The width of your shoe • The length of your index finger Be sure to give a precision measurement Estimation/Guessamation • When determining length we often use estimation. • Use your reasoning skills to determine the length of the following and then measure the actual (precision) measurement: an marker paper clip pencil an object of your choice Linking up to Science Echoes can be used to measure distance. Weather forecasters send a sound waves toward weather system such as tornadoes or hurricanes. They time how long it takes the waves to reach a system, “bounce off” it and return. This method of measuring distances is called sonar. Solve. 1. A ship was in a heavy fog. The navigator knew there was an iceberg nearby, and sounded a horn. Four seconds later he heard an echo returning from the iceberg. Sound travels about 1,100 feet per second in the air. About how far was the iceberg from the ship? 2. Sound travels about 1 mile per second in water. Suppose a ship’s sonar emits a loud sound under the water. Four miles away there is a submarine. How long will it be before the echo reaches the ship? 3. Write a problem using echoes to measure distances. Have a classmate solve your problem. Metric Length 10 millimeters (mm) = 1 centimeter (cm) 100 centimeters = 1 meter (m) 1,000 meters = 1 kilometer (km) Use the bicycle to help your remember the Metric length terms: • A millimeter (mm) is about the thickness of a spoke on a bicycle wheel. •A centimeter (cm) is about the thickness of a bicycle pedal. •A meter (m) is about the height of a bicycle. •A kilometer (km) is how far you can ride a bicycle in a few minutes. Estimate, Measure and Record Estimate and measure each using the Metric units. Record your data in a table. • The length of your desk • The distance from your desk to the door • Your height • Thickness of your Math book • Width of your pencil Making Connections You can find the length or height of something that you can not reach by making connections. Find the height of this building. •The height of one floor is 14.5 meters. •Determine how many floors this building has. •Multiply the numbers of floors by the height of one floor to determine the height of this building. What if: The height of one floor of this building were 12.25 meters? Explain how to find the height of the building. Find the Measurement using Metric Units: 1. The length of a road 12 blocks long if 1 block is 0.125 km long 2. The height of a building 12 stories high if 1 story is 13 m long 3. The length of a floor 92 tiles long if 1 tile is 30 cm long. Change Linear Units To change from small units into Large units: Divide To change from Large units into smaller units: Multiply Change the Units: 1. 2 ft = ___ in 5. 60 in = __ ft 2. 5m = ___ cm 6. 2 km = __ m 3. 5 yd = ___ ft 7. 24 ft = __ yd 4. 20 mm = __ cm 8. 9,400 m = __ km Yes, you can use a calculator Do you Agree? Explain. 1. Anne says 0.2 cm is the same as 2 mm. 2. Joel says that 40 cm is the same as 0.4 m. 3. Jason has 14 yd of string. He used 5 yd 8 in for his project. He claims that he has 8 yd 2 in left. 4. Grace has 13 ft of fabric. She only needs 4 ¼ yds. She thinks she has enough fabric. Problem Solving/ Relating Systems One yard is slightly shorter than 1 meter One mile is slightly longer than 1.5 kilometers. One gallon is about 3.75 liters. One pound is about 0.5 kilogram. Use the chart above to solve the following problems: 1. If a kilometer is about 6 city blocks long, about how many city blocks long is one mile? 2. A football field is 120 yards long, including the end zones. Is a football field shorter or longer than 120 meters? 3. Marly’s is running in two 5K races this month. She is running in a 10K race next month. Will Marly’s run more or less than 10 miles in all? 4. Carmen’s poodle, Tinkerbell weighs 8 kilograms. Does Tinkerbell weigh more than 10 pounds? Getting Ready for the EOG Tiffany is installing new molding in her house. The table shows the amounts of molding she needs for some rooms. Rooms Perimeter Bedroom 44 feet 6 inches Living Room 14 yards Den 31 feet 8 inches 1. How much molding does she need for the bedroom and living room? 2. How much more molding does Tiffany need for the bedroom than for the den? A. B. C. D. A. B. C. D. 58 feet 6 inches 58 yards 6 inches 76 feet 2 inches 86 feet 6 inches 13 feet 8 inches 13 feet 2 inches 12 feet 10 inches 12 feet 8 inches