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## Measurement Goal 2: Length

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**MeasurementGoal 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 • The length of the whiteboard • The amount of flour needed to make a cake • 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. • The temperature outside • The mass of a bracelet • 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**• Measure and compare lengths using nonstandard units. • Devise a plan to compare your data with the class. • Use a paper clip to measure the width of your desk. Record your data. • Use a piece of string to measure the width of your desk. Record your data. • Use a penny to measure the width of your desk. Record your data. • Which unit is longer, a paper clip, a penny or a string length? • Which is item was more accurate? • Which unit would be more appropriate for measuring the width of our room- paper clips, pennies or pieces of string? • Defend/explain your answer choice. Thinking OUTSIDE the box: Why doesn’t everyone have the same answers? Are you correct and your classmates wrong? Defend your answer**An Alien from another planet**has asked you, “What to do with a ruler ?” 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. 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. • 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? • 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? • 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:**• The length of a road 12 blocks long if 1 block is 0.125 km long • The height of a building 12 stories high if 1 story is 13 m long • The length of a floor 92 tiles long if 1 tile is 30 cm long. Be sure to show your work **Change Linear Units**To change from smallunitsinto Large units: Divide To change from Large units into smaller units: Multiply • Change the Units: • 2 ft = ___ in • 2. 5m = ___ cm • 5 yd = ___ ft • 20 mm = __ cm • 60 in = __ ft • 2 km = __ m • 24 ft = __ yd • 9,400 m = __ km Yes, you can use a calculator **Do you Agree? Explain.**• Anne says 0.2 cm is the same as 2 mm. • Joel says that 40 cm is the same as 0.4 m. • 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**• Use the chart above to solve the following problems: • If a kilometer is about 6 city blocks long, about how many city blocks long is one mile? • A football field is 120 yards long, including the end zones. Is a football field shorter or longer than 120 meters? • Marly’sis running in two 5K races this month. She is running in a 10K race next month. Will Marly’srun more or less than 10 miles in all? • 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. • How much molding does she need for the bedroom and living room? • 58 feet 6 inches • 58 yards 6 inches • 76 feet 2 inches • 86 feet 6 inches • How much more molding does Tiffany need for the bedroom than for the den? • 13 feet 8 inches • 13 feet 2 inches • 12 feet 10 inches • 12 feet 8 inches