Mathematics 10 – Workplace and Apprenticeship Unit 3 – Length, Area and Volume Date: 3.1 Systems of Measurement Notes: (1 Class) The name of the popular search engine ‘Google’ came from a misspelling of the word Math Fact ‘googol’, which is a very large number (the number one followed by one hundred zeros to be exact). I.
Key Terms Base Unit: a unit of measurements on which other units are based (g, m, L) Volume: The amount of space a solid occupies. Conversion Factor: a number by which a quantity expressed in one unit must be multiplied to convert it to another unit. II.
Units of Measurements SI Units (Systeme International) Base SI Symbol Conversion Prefix Factor Metre m kilo k 1000 Litre L hecto h 100 Gram g deca da 10 deci d 0.1 centi c 0.01 milli m 0.001 Imperial Units Base Abbreviation Imperial Conversions Inch in or “ 1 foot 12 inches Foot ft or ‘ 1 yard 3 feet = 36 inches Yard yd 1 mile 1760 yards = 5280 feet Mile mi Ounce oz Pound lbs Quart qrt Gallon gal Mathematics10–WorkplaceandApprenticeship
Warnecke
III. Perimeter 1. Garry installs a wire fence around a rectangular pasture. The pasture measures 15 m by 25 m, and he uses three rows of barbed wire. How much wire did he use? 15
15
25
25
80 80 3 240 of fence 2. The sides of the flower garden shown below are 4 m long. Each end is a semi‐circle with a diameter of 2 m. What is the perimeter of the flower garden? Break this problem down into two parts, a circle and a rectangle. If you add the two end sections together, they form a circle. You can use the formula for the circumference to find the perimeter: 2 C is the circumference, r is the radius, d is the diameter, and is a constant. In this example, the diameter is 2 m. Find the circumference of the ends of the flower garden by using this formula. 2 6.28 Add the lengths of the two straight parts to the circumference of the circle to calculate the perimeter: 6.28 4 4 14.28
The perimeter of the flower garden is about 14.28 m. Mathematics10–WorkplaceandApprenticeship
Warnecke
IV. Imperial Conversions Convert the following measurements: a) 42 inches to feet 3.5 feet b) 16 inches to feet and inches = 1 remainder 4 or 1 foot 4 inches c) 96 inches to yards = 2.67 or 2 remainder24 inches or 2 yards, 2 feet d) 5 miles to yards 5 miles x 1760 yards = 8800 yards V.
Building a Fence If each board in a fence is 6 inches wide, how many of them will Jose need to fence a playground that is 60 feet wide by 125 feet long? Find Perimeter 60 60 125 125
370
Convert to Inches  370 x 12 inches = 4440 Find the # of boards  740 Assignment Page: 102 #1‐8 Mathematics10–WorkplaceandApprenticeship
Warnecke