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. 2 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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. 3 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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. 4 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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. 5 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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 6 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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 7 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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/ 8 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 Fill in each measurement in inches and fractions of an inch. If you can reduce your fraction into ⅛, ¼, or ½, do so! 9 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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. 10 Seciton1.1_Imperial_Measurements_of_Length.notebook October 18, 2013 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. 11.