☰ Contents · Natural science

Geographic maps, scale and geographic coordinates

Lessons 41–43 · 3 lessons · K. T. Suyarov, Z. B. Sangirova, M. T. Umaraliyeva, S. G‘. Xasanova, M. K. Yuldasheva, D. T. Hasanova. Natural Science, Grade 6 (new edition). Republican Education Centre, 2022
42

Practical: Working with map scales

Textbook, pp. 94–95
GoalDistinguish numerical, named and linear scales and calculate map and ground distances using scale.
New words
numerical scale (e.g. 1:50 000 000) · sonli masshtabnamed scale (e.g. 1 cm = 500 km) · nomli masshtablinear scale (graduated line) · chiziqli masshtabreal (ground) distance · haqiqiy masofa
Explanation

Scale is shown in three ways. A numerical scale is written as a ratio: 1:50 000 000 – 1 cm on the map equals 50 000 000 cm on the ground. Since 1 km = 100 000 cm, 50 000 000 cm = 500 km. A named scale states this in words: “1 cm to 500 km”. A linear scale is a line whose divisions are marked in kilometres. To find a real distance from the map, multiply the map distance (cm) by the distance that 1 cm stands for. In the reverse problem divide the real distance by the distance in 1 cm to get the map distance. To change a numerical scale into a named one, remove five zeros to convert cm to km: 1:1 500 000 – 1 cm to 15 km (1 500 000 cm = 15 km). Measure distance with a ruler along a straight line; if the route is curved, measure with a string.

Worked examples
Scale 1:2 000 000, i.e. 1 cm to 20 km. If two cities are 7 cm apart on the map, the real distance is 7 · 20 = 140 km.
Scale 1:3 000 000 (1 cm to 30 km). A real distance of 360 km is 360 : 30 = 12 cm on the map.
Class activity

Practical work: 1) draw your classroom dimensions (say 10 m and 6 m) at 1:100 in your notebook (10 cm and 6 cm); 2) draw a sketch of your route from home to school at a scale you choose; 3) measure the distance between two cities on a map with a ruler and calculate it in kilometres. Safety: measure inside the class with a tape; go out on a street to measure a route only with adults.

Practice
1
What does 1:1 500 000 mean (in named form)?
2
Scale 1:5 000 000 (1 cm to 50 km). The map distance is 6 cm. What is the real distance in km?
3
Scale 1 cm to 25 km. If the real distance is 150 km, how many cm on the map?
4
Why might measuring the road length between two points with a ruler along a straight line give an inexact result?