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