1. Map scale

2. Map Scales
Scale:
Shows the relationship between the distance on a map and the actual distance on the earth’s surface
Ex:1:50,000 means:
1cm on the map = cm on the earth
There are 3 different types of scale:
Direct Statement Scale (1cm = .5 km)
Line Scale
Representative Fraction (1:50,000)
1cm
.5 km

3. Direct Statement Scale:
Types of Scales
Direct Statement Scale:
Uses words to show the relationship of the scale
1cm to 1km or 1cm=1km

4. Question???
If you have measured the distance between Hamilton and Toronto and found it to be 25 cm on the map and the direct statement reads 1cm to 2 km.
How far would it be in km?

5. The answer is….
50 km
1 cm/25cm = 2 km/X
1xX = 2x25
X-50cm

6. 2. Line Scale: Is a ruler that is divided into units of distance
1st measure the distance on the map and 2nd compare it to the scale to calculate the distance

8. 3. Representative Fraction (R.F.):
Is usually shown as a ratio
1:50 000
1 unit on the map represents of the same units on the earth’s surface

9. 1:
The 1st term
Is always 1
Represents distance on the map
Represents same unit of measure as the 2nd term
The 2nd term
50 000
represents the distance on the earth
Represents same unit of measure as the 1st term
First term is always 1 (represents the distance on the map)
represents the distance on the earths surface
Represents the same unit of measurement on both terms of the ratio

10. Metric Conversions 1 km = 1000m 1 m = 100cm 1km = 100 000 cm
Converting R.F. to direct statement - divide by (move the decimal 5 places to the left)
Example: 1:
1cm = cm
1cm= (50 000/ )km
1cm= 0.5km

11. Converting direct statement to R. F
Converting direct statement to R.F. - multiply by (move decimal 5 places to the right)
Example: 1cm to 2.5km
1 cm = (2.5 km x cm)
1 cm = cm (1: )

12. Scale Exercise Direct Statement Representative Fraction Line Scale
1cm to 2.5 km 1: km

13. Applying Scale…
A B - 1cm to 100 km A B - 1: km B-
1 cm