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DSE Geography | Map Skills and Fieldwork Lesson-Prep Guide (Tutor Edition) | Scale, Gradient and Sampling Data

DSE Geography | Map Skills and Fieldwork Lesson-Prep Guide (Tutor Edition) | Scale, Gradient and Sampling Data

  • 2026-11-04

Students measure a line and copy the ruler reading straight into the answer. This lesson fixes three steps into one chant: measure, multiply, convert.

Objectives — Students can: (1) convert map distance to ground distance with a scale; (2) work out gradient from contours and judge vertical exaggeration; (3) calculate density and mean from quadrat data and justify random sampling.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Unit conversion How many metres in 90000 cm 900 m
Percentage 120 divided by 1200 0.1, that is 10%
Bearing Bearing of due east 090

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-10 min Scale Measure, multiply, convert Get 900 m
10-22 min Grid references Six-figure reading and bearing Read three points
22-36 min Gradient Rise over horizontal distance Get 1 in 10
36-46 min Cross-section Explain vertical exaggeration Get VE = 2
46-56 min Fieldwork data Quadrat, density, mean Get 1.8 plants per square metre
56-60 min Exit check Three questions marked on the spot Independent work

03 Teaching script (read it out)

Scene 1: Scale: measure, multiply, convert

The map scale is 1:20,000, so 1 cm on the map is 200 m on the ground. A line of 4.5 cm gives 4.5 times 20,000, which is 90,000 cm, and dividing by 100 gives 900 m. The chant is measure in cm, multiply by the scale, then convert cm to m by dividing by 100. Curved roads must be measured in short straight sections and added, never straightened.

Ask the student: the same map gives a line of 12.5 cm, so what is the ground distance (2500 m).

Scene 2: Gradient and vertical exaggeration

Gradient is rise over horizontal distance, so 120 divided by 1200 is 0.10, which is 1 in 10 or 10 percent. With a contour interval of 20 m, crossing 6 contours gives a rise of 120 m. For vertical exaggeration, the horizontal scale is 1:20,000; if 1 cm on the section stands for 100 m, the vertical scale is 1:10,000 and the exaggeration is 20,000 divided by 10,000, which is 2 times, so slopes look steeper than they are.

Warn: a steeper slope has a larger number but a smaller ratio, so 1 in 10 is steeper than 1 in 20.

Scene 3: Fieldwork: quadrats and data

20 quadrats of 1 square metre cover 20 square metres, and 36 plants give a density of 36 divided by 20, which is 1.8 plants per square metre. Pebbles: 30 stones with long axes totalling 480 mm give a mean of 16 mm, which can be grouped into a bar chart. Grid references: 33 units east and 33 units north means 3300 m each way, a distance of about 4667 m on a bearing of 045. Sampling points must come from a random number table so that pathside bias does not creep in.

Ask the student: why sampling only along the footpath gives skewed data (human disturbance).

04 Question types and worked steps

Type Example Steps Answer
Calculation Map distance to ground distance Measure, multiply, convert 4.5 cm gives 900 m
Calculation Gradient Rise over horizontal distance 1 in 10
Calculation Vertical exaggeration Horizontal scale over vertical scale VE = 2
Data Quadrat density and mean Total count over total area 1.8 plants per square metre
Sanity check (teach this): The answer must be plausible: on a 1:20,000 map, 1 cm is 200 m, never 2 km. A gradient must be less than 1 to be a slope, so an answer above 1 usually means rise and run were swapped.

05 Independent practice (3 questions)

Question Answer What to watch
Ground distance for 4.5 cm on a 1:20,000 map 900 m Divide by 100 to convert cm to m
Gradient for a rise of 120 m over 1200 m 1 in 10 Divide first, then invert
Density for 36 plants in 20 quadrats 1.8 plants per square metre Total area is multiplied, not added

06 Common mistakes and what to say

Mistake Student writes Say this
Forgetting the scale Answering 4.5 m from the ruler “The ruler gives cm, multiply by the scale first.”
Wrong cm to m step Reporting 90000 m “cm to m is divide by 100, not multiply.”
Inverted gradient Giving the gradient as 10 instead of 1 in 10 “Rise stays on top, never flip it.”
Sampling only by the path All data from the footpath edge “Pick points at random, not the convenient ones.”

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Distance for 4.5 cm on a 1:20,000 map 900 m All three right: move to landforms
Gradient for 120 m over 1200 m 1 in 10 One wrong: reteach scale
Formula for vertical exaggeration Horizontal scale divided by vertical scale Two wrong: restart act one

09 Tutor FAQ

Should common scales be memorised?

Only that 1:20,000 means 1 cm is 200 m; everything else is a quick multiplication.

Why label the vertical exaggeration?

Because the vertical axis is stretched, so an unlabelled section exaggerates the slope.

How many quadrats are enough?

At least ten placed at random; the mean steadies as the count rises.

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