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Maps and working drawings

Suggested learning objectives for 'Maps and working drawings'

  • Learning objective

    Suggested learning objective “Maps and working drawings”

Converting scale and nautical miles

We have a map at a scale of 1 : 40 000.

a) On the map we measure that it is 8.5 cm from the mainland out to an island. How long is this distance in reality?

b) The distance between two skerries is roughly 5 200 metres. Work out how many centimetres this comes to on the map.

Distance at sea is usually measured in nautical miles. One nautical mile is 1 852 metres.

c) On the map we measure that it is 10.5 cm from Sånum to Stussøy. Work out the distance in nautical miles between these two places.

Speed at sea is usually measured in knots. A knot is the number of nautical miles per hour (nautical miles/h). If your speed is 10 knots, you travel 10 nautical miles in one hour. If the speed is 7 knots, you travel 7 nautical miles in one hour, and so on.

d) Imagine that you are on a boat trip from Sånum to Stussøy at a speed of 6 knots. How long does the boat trip take?

Scale

The drawing shows the floor plan of a house at a scale of 1 : 100.

a) What does it mean that the scale is 1 : 100?

b) How many square metres is the extension of the living room?

Sketch

Draw a sketch of the desk or table you are sitting at. Use a scale of 1:10.

Working drawing

A working drawing of a machine part is at a scale of 5 : 1.

a) What does it mean that the scale is 5 : 1?

Floor plan of a house. *Illustration: Alv Tore Romedal (n.d.), NDLA (Nasjonal digital læringsarena — the Norwegian Digital Learning Arena) (CC BY-SA) *

Floor plan of a house. Illustration: Alv Tore Romedal (n.d.), NDLA (CC BY-SA)

b) One measurement on the drawing is 100 mm. How many millimetres is this in reality?

c) The machine part has a length of 21 mm. What is this measurement on the drawing?

Sketch in GeoGebra

Use the recipe from the theory and make your own sketch of a room with some furniture. If you use, for example, GeoGebra, you will be able to rotate your drawing in different directions. Take the time to do this properly.

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The answers to the tasks can be found here

Praktisk matematikk - 1P - Kart og arbeidstegninger - NDLA

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Text Stein Aanensen og Olav Kristensen, NDLA, 2020 (CC BY-SA)