1. DIFFICULTY OF THE IMPERIAL UNITS?

2. DIFFICULTY OF THE IMPERIAL UNITS
One inch is usually divided into 8, 10 or 16 parts:
This particular ruler has 16 divisions

3. DIFFICULTY OF THE IMPERIAL UNITS
One inch is usually divided into 8, 10 or 16 parts:
So, the smallest division = 1/16th of an inch

4. What is the length of the pencil?
One inch is usually divided into 8, 10 or 16 parts:
So, the smallest division = 1/16th of an inch

5. One inch is usually divided into 8, 10 or 16 parts:
What is the length of the pencil?
One inch is usually divided into 8, 10 or 16 parts:

6. Videoclip

7. 1.3 Relating SI and Imperial Units
Copyright © 2010 Ryan P. Murphy

8. Copyright © 2010 Ryan P. Murphy

9. I will show you these 6 pictures showing you their metric values.
Mph (Miles per hour)
Gallon
Pounds
Yards
Fahrenheit
Inches

10. One gallon of milk = 3.78 liters of milk

11. 65 mph = 104 km/h Copyright © 2010 Ryan P. Murphy

12. Double Quarter Pounder(0.5 pound) = 0.226 kg

13. 48 inches tall = 1.22 meters tall
Copyright © 2010 Ryan P. Murphy
Copyright © 2010 Ryan P. Murphy

14. 1 Yards = meters
Copyright © 2010 Ryan P. Murphy

15. 80 degrees Fahrenheit = 26.7 degrees Celsius
Copyright © 2010 Ryan P. Murphy

16. The International System (System Internationale ‘unites) of Units (SI) also known as THE METRIC SYSTEM.

17. It is used by scientists all over the world

18. The Metric System: A measurement system based on the powers of ten.
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19. POWERS OF TEN HAVE PREFIXES
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20. YOU MUST KNOW THEM!!!
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21. Only one unit of measurement for each quantity
The simplicity of the Metric System?
For example:
LENGTH: meter
MASS: gram
VOLUME: liter
Only one unit of measurement for each quantity
Copyright © 2010 Ryan P. Murphy

22. You can measure the very small and the very large with the same unit
meter
Copyright © 2010 Ryan P. Murphy

23. The measurements below are all the same.
“I am mm tall.”
“I am cm tall.”
“I am meters tall.”
“I am km tall.”
Compare it with Imperial System
Copyright © 2010 Ryan P. Murphy

24. Only one unit of measurement for each quantity
The simplicity of the Metric System? SI
For example:
LENGTH: meter
MASS: gram
VOLUME: liter
Only one unit of measurement for each quantity
Imperial
For example:
LENGTH: mile, yard, foot/feet, inch…
MASS: grain (≈0.65g), drachm (1.77 g), pound (453 g)…
VOLUME: ounce (0.028 L), gill (0.142 L), gallon (4.55 L)…
Copyright © 2010 Ryan P. Murphy

25. Dimensional Analysis and Conversion factors

26. We can do this using 2 methods:
Any quantity we measure,(length, mass, volume…) consists of a number and unit
22.2 m
If we are given a quantity in one type of unit, and we want another type of unit :
22.2 m = ? ft
We must convert the units
We can do this using 2 methods:

27. OR

31. A relationships between any quantities can be expressed by CONVERSION FACTORS

32. A relationships between any quantities can be expressed by CONVERSION FACTORS

33. EXAMPLE #1
Convert 21.5 inches to cm!

34. EXAMPLE #1 Convert 21.5 inches to cm!
Step 1: Write conversion factors for inches and cm Step 2: Choose a conversion factor which will allow you to cancel units of a given quantity (inches in our case) Step 3: Multiply, cancel and check the units

35. Convert 21.5 inches to cm!
Step 1: Write conversion factors for inches and cm

36. Convert 21.5 inches to cm!
Step 1: Write conversion factors for inches and cm
Step 2: Choose a conversion factor which will allow you to cancel units of a given quantity (inches in our case)

37. Step 3: Multiply, cancel and check the units
Convert 21.5 inches to cm!
Step 3: Multiply, cancel and check the units
𝟏 𝒊𝒏𝒄𝒉 𝟐.𝟓𝟒 𝒄𝒎
NO!
21.5 inches x
𝟐.𝟓𝟒 𝒄𝒎 𝟏 𝒊𝒏𝒄𝒉
YES!
21.5 inches x
1 𝑖𝑛𝑐ℎ 2.54 𝑐𝑚 𝑐𝑚 1 𝑖𝑛𝑐ℎ

38. 1 step metric conversion
EXAMPLE #1
Convert 21.5 inches to cm!
1 step metric conversion

39. A Canadian football field is approximately 59 m wide
A Canadian football field is approximately 59 m wide. What is this measurement to the nearest foot? Use both of the methods of conversion.
a) 192 ft.
a) 192 ft.

40. Nora knows that she is 5 ft. 7 in. tall.
a) What height in centimetres will she list on her driver’s license application? Use both of the methods of conversion.
a) 170 cm

41. HOMEWORK
Pages: 22 – 23
Problems: 4 – 14 (all even)

42. Convert 6.32 µm to km
Convert to a base unit (need 2 conversion factors) and from the base unit

43. Convert 6.32 µm to km
Insert the values for 1 µm and 1 km

44. Convert 6.32 µm to km
Cancel the units and do the math