G7 Math Q2 Week 2 Conversion of Units.ppt

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1. Conversion of Units

2. Objective:
converts measurements from one
unit to another in both Metric and
English systems.

3. Which of the following objects
can be measured in length?

4. What is a Unit Conversion?
A unit conversion is a changing of one unit to another.
Unit Examples:
meters
grams
inches
feet
pounds
seconds
Any time you write down a number in physics, you
should have a unit written after it!!!

5. Using SI Units
The table below lists the prefixes in common use.
Commonly Used Metric Prefixes
PrefixSymbol Meaning Factor
mega M 1 million times larger than the unit it precedes10
6
kilo k 1000 times larger than the unit it precedes10
3
deci d 10 times smaller than the unit it precedes10
-1
centi c 100 times smaller than the unit it precedes10
-2
milli m 1000 times smaller than the unit it precedes10
-3
micro μ 1 million times smaller than the unit it precedes10
-6
nano n 1 billion times smaller than the unit it precedes10
-9
pico p 1 trillion times smaller than the unit it precedes10
-12
Units of Length

6. What is a Metric Unit?
Metric units are the universally excepted units around the world (except
for the US). They are the easiest to convert.
Metric Unit Examples:
meters
liters
grams
Base Units – all
other metric
units are based
off of these
(km, cm, ml,
kg)

7. Metric Conversion Factors
1 km= 1000 m
100 cm= 1 m
1000 mm = 1 m
10 mm = 1 cm
Knowing these conversion
factors makes calculating
conversions easy!
These also work for liters and
grams. Just replace the base
unit (m) with a (g) or (l).

8. A mathematical way to convert one
unit to another. This works for metric
units and non-metric (English) units.
This works by taking the unit you are
given and multiplying it by a
conversion factor.

9. Example 1: Convert 3m to cm
Given Conversion
Factor
= 300cm
For meters to cancel out,
meters in the conversion
factor must be on the
opposite side of the fraction
(fence).
3m 100 cm
1m
Multiply every number on top
of the fence and divide by the
bottom.

10. Example 2: Convert 1516 g to kg
conversion factor
1.516 kg
1516 g 1 kg
1000 g

11. Whiteboard Problem 1
Convert 1200 cm to m.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding (dependent)
variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.

12. Whiteboard Problem 1
Convert 1200 cm to m.

13. Example 3: Convert 7200mm to km
7200 mm
= .0072 km
10 mm
1 cm 1 km
100,000 cm

14. Whiteboard Problem 3
Convert 3 m to mm.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.

15. Non-Metric (English) Unit Conversions
Common Conversion Factors
5280 ft = 1 mile
12 in = 1 ft
1 mile = 1600 m
1 in = 2.54 cm
3 ft = 1 yard
English to Metric
conversion factors

16. Example 4: Convert 2 miles to ft
= 10,560 ft
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
2 mi 5280 ft
1 mi

17. Whiteboard Problem 4
Convert 3.2 ft to inches.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.

18. Example 5: Convert 5 ft to
cm
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
5 ft12 in
1 ft
2.54 cm
1 in
= 152. 4 cm

19. Warm-Up
Solve using Dimensional Analysis
1.Convert 45 inches to cm.
2.Convert 8 m to inches.

20. Warm-Up
Using Dimensional Analysis
1.Convert 10ft to cm.
2.Convert 5 km to in.

21. Converting Units of Time
Convert the units of time.
3 minutes and
9 seconds
1 hour and 25
minutes
3 weeks and
1 day
seconds minutes days189 85 22

22. Conversion of units of Time
1 min= 60 sec1 min= 60 sec
1hour= 60 min= 3600 sec1hour= 60 min= 3600 sec
1day=24hrs=1440 mins=86400sec1day=24hrs=1440 mins=86400sec
1month=30 days1month=30 days
1 year= 365 days1 year= 365 days

23. Converting Units of
Time
Convert the units of time.
8 years and
4 months
3 days and
8 hours
2¾ hours
months

hours
minutes100
80
165

24. Sam is incorrect.
730 days equals 2 years and 22 months equals 1
year and 10 months.
Converting Units of
Time
Gill
22 months
Tomek
730 days
Gill is the
eldest child.
Is Sam correct? Explain your answer.

25. Convert the
following:

28. Convert the following:

30. Explain how to convert
units of time, length and
temperature.

31. Glossary Terms
Celsius scale: the temperature scale in which the
freezing point of water is 0°C and the boiling point is
100°C
Kelvin scale: the temperature scale in which the
freezing point of water is 273 K and the boiling point is
373 K; 0 K is absolute zero
absolute zero: the zero point on the Kelvin temperature
scale, equivalent to –273.15°C
density: the ratio of the mass of an object to its volume
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