PREPARE FOR LEARNING:
LEVEL 1/2
TITLE: Scale & Distance
OBJECTIVE:
To look at
Distance and
Scale on maps
OUTCOMES:
•Measure distance using
M & KM
•Convert between M & KM
•Use scale on maps and
plans
Activate: Measuring Distance
• What measurements do we use to measure distance?
• Miles
• Kilometres
• The UK still uses miles but the rest of Europe use kilometres.
• How many metres are in a mile?
• 1 mile = 1609 m or 1.609 km
• So how many miles in a kilometre?
• 1 km = 0.621 miles
• And how many metres in a km?
• 1 km = 1000m
• And how many cm?
• 1 km = 100,000cm
Activate: Converting between M and KM
• The prefix ‘kilo’ is a metric prefix indicating
one thousand.
• 1 kilometre is therefore 1,000 metres.
• To convert metres to kilometres
• Divide by 1,000
• E.g. 5,000m ÷ 1,000 = 5km
• To convert kilometres to metres
• Multiply by 1,000
• E.g. 3.5km x 1,000 = 3,500m
Activate: Converting between M & KM
Metres
3,000
4,500
Kilometres
3
2,750
5,250
7,700
11,125
2.75
5.25
7.7
11.125
15.35
15,350
22,875
4.5
22.875
Activate: Maps and Plans
• What is a map?
• A diagrammatic representation
of an area of land or sea
showing physical features, cities,
roads, etc.
• What is a plan?
• A scale diagram of the
arrangement of rooms on one
floor of a building or furniture in
a room.
Activate: Maps & Plans – Scale keys and factors
• Scale factors are used to accurately scale
up or down an image.
• Scale drawings will come with a key or a scale
factor that tells you what a dimension in the
drawing is equal to in real life.
• They are usually represented with an = sign, as
ratios or a distance line.
Activate: Maps & Plans – Scale keys and factors
Remember 1 km = 1000m = 100 000cm
1. As a written statement
2.As a ratio or fraction
4 cm = 1 Km
1:25000
0
3.Using a scale line.
500m
Activate: Maps & Plans – Scale keys and factors
Remember 1 km = 1000m = 100,000cm
• The scales on these maps is the ratio of the distance on
the map with the actual distance in real life.
• E.g. a scale like 1:25,000
• So:
• 1cm line on a 1:25,000 map = 25000cm or 250m or ¼ km
• To work this out:
• Divide by 100 (cm in a m) – 25,000 ÷ 100 = 2,500m
• Then divide by 1,000 (m in a km) – 2,500 ÷ 1,000 = 0.25km
• Therefore:
• 7cm on this map = 7 x 25,000 = 175,000
• 175,000 ÷ 100 = 1,750
• 1,750 ÷ 1000 = 1.75km (See OS map scales WS)
Activate: Maps & Plans – Scale keys and factors
• The map below shows a section of coastline.
• Calculate the distance between point A and
point B.
• We first need to measure the length of the
scale, using a ruler. It is 1 cm long.
• Therefore 1 cm on the drawing represents 5 km in
real life.
Activate: Maps & Plans – Scale keys and factors
• Then, measure the distance
between A and B on the drawing, using a
centimetre ruler:
• Since 1 cm on the drawing represents 5 km in
real life, the distance between A and in real life
is:
8.5 x 5 = 42.5
Activate: Maps & Plans – Scale keys and factors
• Hector uses a map to work out the distances from his home in Afton to nearby
villages. He uses a ruler to find measurements to the nearest cm.
• Here are his calculations:
• The scale tells him that 1 cm = 4 miles, so he has to multiply each measurement
by 4.
• On the map the distance between Afton and Beelby is 3 cm.
• 3 x 4 = 12 - so the actual distance between the two villages is 12 miles.
• What is the distance between Corburn and Afton?
• 5 x 4 = 20 - so the actual distance between the two villages is 20 miles.
• What is the distance between Beelby and Dingle?
• 4 x 4 = 16 - so the actual distance between the two villages is 16 miles
Activate: Measuring distances on a map
• Straight line distances
• The shortest distance between two points is
sometimes known ‘as the crow flies’.
• This can be measured with a ruler then converted
to the correct scale.
Activate: Measuring distances on a map
• Curved Distances
• A road or river does not travel in a straight line.
• To measure this, you will need a piece of string (or
you can use a strip of paper).
• Follow the road/river with the string.
• Then measure the total length using a ruler and
work out the distance using the scale.
• If using a page, you need to pivot the paper each
time the path changes direction
Activate: Measuring distances on a map
Activate: Measuring distances on a map
N. Ireland map answers
From:
To
Belfast
Belfast
Portadown
Belfast
Belfast
Belfast
Newtownards
Ballynahinch
Lisburn
Dromore
Portadown
Ballinderry
Distance:
(According to Google Maps)
22km
23km
32km
26km
47km
70km