Transcript 1.1 Imperial Measure - Mr Findlay's Website

1.1 Imperial
Measurements
MFM2P
In the beginning
 Back in the day (1000s of years ago) when
people built things themselves, it wasn’t
necessary to measure things because
everyone did it themselves.
I need a
bolt as
wide as
thumb
What you talkin’ ‘bout Willis?
 However, projects became more complicated, it became
necessary to have others work different parts, therefore they
had to standardize measurement.
moron
…
Sir, I don’t
know what your
thumb looks
like…
Birth of Imperialism
 So they decide to take the most popular guy,
measure his thumb and call it an inch. This
guy was the King!
An inch was the width of a thumb
A foot was the size of the kings
foot, which eventually became 12
inches.
A yard was the distance from the
tip of a man's nose to the end of
his outstretched arm. Eventually,
3 feet became a yard
Other systems
 The British empire used this method to devise measurements
for mass, volume and time. For instance a pound was equal to
7002 troy grains
 Other countries developed their own units of measure
7001? That’s
stupid! A
pound should
be 7002…
Your sands
are no match
for our
stones!
What’s a
troy grain?
We use
wheat
seeds
A new day
 Eventually (in the 1800s), the French
developed the Metric System
 In the 1970s many commonwealth (former
British colonies) switched to the metric
system.
Imperial Systems
 Today, the entire world is metric, except for
the US, Myanmar and Liberia
The Imperial Empire
Unfortunately, the US has a HUGE influence on our
culture. This influences the way we communicate and
think about various systems of measurement.
Time is in seconds, minutes, hours, days,etc…
How tall are you?
 5 feet 10 inches
How much do you weight?  210 lb
Football field
 yards
Fluids (Guinness)
 pint
Going the distance…
Length
inches (in or “), foot (ft or ‘), yard (yd),
mile (mi)
Pump up the Volume!
Volume
Teaspoon (tsp), tablespoon (tbsp), fluid
ounce (fl oz), cup (c), pint (pt), quart (qt),
gallon (gal)
Weight
Weight
Ounce (oz), pound
(lb), ton (tn)
Miscellaneous
Imperial Units
Length
inches (in or “), foot (ft or ‘), yard (yd), mile (mi)
Volume
Teaspoon (tsp), tablespoon (tbsp), fluid ounce (fl oz),
cup (c), pint (pt), quart (qt), gallon (gal)
Weight
Ounce (oz), pound (lb), ton (tn)
If 1 yd = 3ft, then 4 yd2 =
ft2
1 yd
3ft
2 yd
6 ft
4 yd2
36 ft2
2 yd
6 ft
Page 3 Question 3
Converting Feet to Inches
1 foot = 12 inches
3’ = 3 feet
= 3 feet x 12 inches
1 foot
= 36”
2’ 7” = 2‘ + 7”
8.5’ = 8.5 feet
= (2 x 12”) + 7”
= 8.5 x 12”
= 24” +7”
= 102”
= 31”
Page 3 Question 4a
Converting Inches to Feet
1 foot = 12 inches
71 inches =
How many times does 12 go into 71?
71 inches = 5 feet + ??? inches
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
2
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
3
3
6
9
12
15
18
21
24
27
30
33
36
39
42
45
4
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
5
5
10
15
20
25
30
35
40
45
50
55
60
65
70
75
6
6
12
18
24
30
36
42
48
54
60
66
72
78
84
90
7
7
14
21
28
35
42
49
56
63
70
77
84
91
98
105
8
8
16
24
32
40
48
56
64
72
80
88
96
104
112
120
9
5’ = 60”
9
18
27
36
45
54
63
72
81
90
99
108
117
126
135
10
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
71” -60” = 11”
11
11
22
33
44
55
66
77
88
99
110
121
132
143
154
165
12
12
24
36
48
60
72
84
96
108
120
132
144
156
168
180
13
13
26
39
52
65
78
91
104
117
130
143
156
169
182
195
14
14
28
42
56
70
84
98
112
126
140
154
168
182
196
210
15
15
30
45
60
75
90
105
120
135
150
165
180
195
210
225
71 inches = 5 feet + 11 inches
Page 3 Question 6
Word Problems
The school gymnasium floor needs to be resurfaced. Hardwood flooring costs $6 per square foot
plus $2.50 per square foot for installation. The gym measures 180ft by 220ft.
a)
Size of gym
= (length) (width)
= (220 ft) (180 ft)
= 39 600ft2
Therefore the gym is 39 600ft2.
b) Cost to buy hardwood = ($6.00/ft2) (39 600ft2)
= $237 600
The cost of the hardwood is $237 600.
c) Cost of Installation
= ($2.50/ft2) (39 600ft2)
= $99 000
Therefore the cost of installation is $99 000