Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013
Unit 1 Measurement
1 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013
Section 1.1: Imperial Measures of Length
Introduction - Video
http://www.youtube.com/watch?v=DQPQ_q59xyw&feature=player_detailpage
Two main systems of measurement: 1) Imperial Units and 2) System of Measures (System International)
Imperial System (United States, Australia, Ireland recently converted to Metric(SI))
Imperial Unit Abbrev. Referent Relationship Thumb length Inch (smallest) in. Thickness of a hockey puck
standard floor tile Foot ft. 1 ft. = 12 in. in classroom
Arm span from tip of nose, yard Yard yd. 1yd. = 3 ft. = 36 in. stick, length of a guitar
Distance walked 1 mi. = 1760 yd in 20 minutes, 1 mi. = 5280 ft. Mile mi. lights to railway (3 x 1760) crossing 1 mi. = ______in.
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To Convert measurements from one unit to another we can use 2 methods:
1. Multiply or divide by the appropriate conversion factor. 2. Use Unit Analysis.
Method 1: Multiply/Divide by Conversion Factor
Smallest Unit Inch Foot Divide Yard Multiply Mile Largest Unit
Therefore,
To convert from a larger unit to a smaller unit, we multiply. To convert from a smaller unit to a larger unit, we divide.
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Examples:
1. Convert
A. 3 feet to inches B. 8 yards to feet
3 ft. x 12 in. 8 yd. x 3 ft. = 36 in. = 24 ft.
C. 48 inches to feet D. 87 ft. to yd. 48 in. ÷ 12 in. 87 ft. ÷ 3 ft = 4 ft. = 29 yd.
E. 288 in. to yd.
288 in. ÷ 36 in.= 8 yd.
2. Convert 61 in. to:
A) feet and inches B) yards, feet, and inches
61 in. ÷ 12 in. = 5.083 ft. 61 in. ÷ 36 in. 1.694 yd. 0.083 ft. x 12 in. = 1 in. 0.964 yd x 3 ft. = 2.083 ft. 0.083 x 12 in. = 1 in.
Answer: 5 ft. 1 in. Answer: 1 yd. 2 ft. 1 in.
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3. Convert: A. 2 mi. to feet 2 mi. x 5280 ft = 10560 ft.
B. 574 in. to yards, feet, and inches 574 in ÷ 36 in. = 15.94 yd. 0.94 yd. x 3 ft. = 2.83 ft. 0.83ft. x 12 in. = 10 in. Answer: 15 yd. 2 ft. 10 in.
C. 7390 ft. to miles, yards, and feet 7390 ft. ÷ 5280 ft. = 1.399621 mi. 0.399621 mi. x 1760 yd. = 703.3 yd. 0.3 yd. x 3 ft. = 1 ft. Answer: 1 mi. 703 yd. 1 ft.
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Method 2: Unit Analysis
Video on Unit Analysis
http://www.youtube.com/watch?v=XKCZn5MLKvk
1. Convert the following measurements using unit analysis.
A) 51 feet to inches
We can write the relationship between feet and inches as a fraction in 2 ways:
These are called conversion factors. and
B) 29 920 yards to miles
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2. Convert the following measurements. NO DECIMALS ALLOWED
A) 7 feet 9 inches to inches
B) 428 feet to yards and feet
C) 6890 feet to miles, yards and feet
D) 35 feet 7 in to yards, feet and inches
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How to use a Measuring Tape
(Video on tape measure...stop video and explain the 16ths etc on smart board with pens)
http://www.youtube.com/watch?v=lZ3Ec1p93PA&feature=player_detailpage
Ruler Game
http://www.globalclassroom.org/rulergame200/index.html
http://www.rickyspears.com/rulergame/
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Fill in each measurement in inches and fractions of an inch. If you can reduce your fraction into ⅛, ¼, or ½, do so!
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Ex) Alice is putting a border around the walls of a rectangular rec room with dimensions 14 ft. 8 in. by 10 ft. 3 in. half way up the wall. The room has one door and its width is 2 ft. 6 in.
A) What is the total length of border needed?
B) If the border is sold in 96 in. strips, and sells for $4.89 per strip, determine the total cost of the border needed.
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Ex) The school has 20 yds fabric that will be cut into 7 inch strips to make banners for a sports meet.
A) How many banners can be made? 20 yd.
7 in.
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