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Lesson 3 of 4Geographic Thinking & Skills
Unit 1 · Lesson 3 of 4

Maps, Location, Scale and Direction

The elements every map needs, common map types, latitude and longitude (including about 111 km per degree of latitude), map scale written three ways and converting between them, the 16-point compass and bearings, grid references, and reading contour lines to find elevation and slope.

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Key things to remember

  1. 1Map elements: title, orientation (north arrow), date, author and source, legend, scale (TODALS).
  2. 2Latitude: 0° at the equator to 90° N or S. Longitude: 0° at the prime meridian to 180° E or W. Give latitude first: Toronto ≈ 43.7° N, 79.4° W.
  3. 3One degree of latitude ≈ 111 km, so north–south distance ≈ (difference in latitude) × 111 km.
  4. 4Real distance = map distance × scale; 1 km = 100 000 cm, so 1 : 50 000 means 1 cm represents 0.5 km.
  5. 5Bearings are measured clockwise from north (N = 000°, E = 090°, S = 180°, W = 270°). Grid references: easting first, then northing.
  6. 6Close contour lines mean a steep slope; widely spaced lines mean a gentle slope.

A map is a powerful tool because it shrinks the world onto a page or screen while keeping the most important thing: where things are in relation to each other. To use one, you need a few skills: finding an exact location, working out real distances, giving directions, and imagining hills and valleys from flat lines. These skills come up in every unit of this course, from locating landform regions (Unit 2) to mapping population density (Unit 4) and planning communities (Unit 5), and in everyday life whenever you follow a trail map or a phone app. Start with the elements every map needs, listed below.

  • Title: what the map shows, where and when ("Population density of Ontario by census division, 2021").
  • Orientation: a north arrow, so you know which way the map faces. Most maps put north at the top, but not all do.
  • Date: when the data was collected or the map was made.
  • Author and source: who made it and where the data came from, so you can judge its credibility.
  • Legend (or key): what each symbol, colour and line means.
  • Scale: how distances on the map compare to real distances on the ground.
  • A useful memory aid is TODALS: title, orientation, date, author, legend, scale (plus sources).
  • Every flat map distorts the round Earth in some way. The common Mercator projection keeps shapes and directions correct locally but stretches areas near the poles: Greenland looks about as large as Africa, yet Africa is roughly 14 times bigger, and Canada's Arctic islands look larger than they really are.
Topographiccontour lines showelevation and slopeChoroplethareas shaded by a value;darker = higherDot densityeach dot stands for aset number of peopleFlowarrows show movement;wider = morePolitical (reference)borders, capitals (stars),cities and rivers
Fig 1Five common map types. Topographic: contour lines ring a hill beside a river and a road, showing elevation and slope. Choropleth: regions shaded light to dark, with darker meaning a higher value. Dot density: each dot stands for a set number of people, so dots crowd where many people live. Flow: arrows of different widths show movement into one place, with wider meaning more. Political or reference: dashed borders, stars for capitals, dots for cities and a river.

Latitude and longitude

30° N30° SEquator0°Prime meridian 0°Parallels (latitude) run east–west: 0° atthe equator up to 90° N or 90° S.Meridians (longitude) run north–south:0° at the prime meridian up to 180° E or W.Reading a location: Toronto48° N46° N44° N42° N40° N84° W82° W80° W78° W76° W74° WToronto43.7° N79.4° WToronto ≈ 43.7° N, 79.4° WGive latitude (N or S) first,then longitude (E or W).
Fig 2Left: a globe with lines of latitude (parallels) running east–west and lines of longitude (meridians) running from pole to pole every 30 degrees, with the equator and the prime meridian highlighted. Right: a grid from 40° N to 48° N and 84° W to 74° W showing how to read Toronto's location at about 43.7° N, 79.4° W, latitude first, then longitude.
  • Latitude measures how far north or south of the equator (0°) a place is, up to 90° N or 90° S at the poles. Lines of latitude, called parallels, run east–west and never meet.
  • Longitude measures how far east or west of the prime meridian (0°, through Greenwich, England) a place is, up to 180°. Lines of longitude, called meridians, run north–south and meet at the poles.
  • Write latitude first, then longitude, always with the direction letters: Toronto is about 43.7° N, 79.4° W. All of Canada is north of the equator and west of the prime meridian, so every Canadian location is "N" and "W".
  • A degree can be split into 60 minutes (′): 43.7° is the same as 43° 42′ N, because 0.7 × 60 = 42.
  • One degree of latitude is about 111 km everywhere, so distance north–south ≈ difference in latitude × 111 km. Example: two places on the same meridian 3° apart are about 333 km apart.
  • A degree of longitude is about 111 km only at the equator. It shrinks toward the poles because the meridians meet there: at Toronto's latitude it is only about 80 km.

Map scale

Ratio(representative fraction)1 : 50 0001 cm on the map = 50 000 cm on the groundStatement(verbal scale)1 cm represents 0.5 kmbecause 50 000 cm = 500 m = 0.5 kmLinear scale(scale bar)00.511.52 kmeach block: 1 cm = 0.5 kmWorked example: how far is it from A to B?AB0123456 cm1. Measure with a ruler:A to B = 6 cm on the map2. Use the statement:6 × 0.5 km = 3 km3. Check with the ratio:6 × 50 000 cm = 300 000 cm = 3 km
Fig 3One map scale written three ways: as a ratio (1 : 50 000, so 1 cm on the map is 50 000 cm on the ground), as a statement (1 cm represents 0.5 km) and as a scale bar in 1 cm blocks labelled 0 to 2 km. Worked example: A and B are 6 cm apart on the map, and 6 × 0.5 km = 3 km.

A ratio scale (or representative fraction) such as 1 : 50 000 means one unit on the map equals 50 000 of the same unit on the ground. To turn it into a statement scale, convert the ground distance to kilometres: there are 100 000 cm in 1 km (100 cm per metre × 1000 m per km), so 50 000 cm = 0.5 km and the statement is "1 cm represents 0.5 km." A scale bar (linear scale) draws that relationship as a ruler, and it stays correct even if the map is enlarged or shrunk on a screen. To find a real distance: measure the map distance, multiply by the ground distance per centimetre, and check the units. A large-scale map (such as 1 : 10 000) shows a small area in great detail; a small-scale map (such as 1 : 1 000 000) shows a large area with little detail. Canada's National Topographic System maps are often at 1 : 50 000 and 1 : 250 000.

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Three practice modes with instant feedback and worked solutions: place or read points on a simplified map of Canada with latitude and longitude lines every 5 degrees; measure distances with a draggable, rotatable ruler and convert between ratio, statement and bar scales; and choose 16-point compass directions, measure bearings with a protractor and find back bearings on a grid map.

Direction, bearings and grid references

Compass pointBearingOpposite pointBearing
N (north)000°S (south)180°
NNE022.5°SSW202.5°
NE (northeast)045°SW (southwest)225°
ENE067.5°WSW247.5°
E (east)090°W (west)270°
ESE112.5°WNW292.5°
SE (southeast)135°NW (northwest)315°
SSE157.5°NNW337.5°
The 16-point compass and matching bearings. Bearings are measured clockwise from north, written with three digits; opposite directions differ by 180°.

The 16-point compass adds in-between points to the eight main ones: NNE is halfway between N and NE. A bearing is more exact: an angle from 000° to 360°, measured clockwise from north. Many maps also carry a grid of numbered squares. A four-figure grid reference names a square: read the easting (the number along the bottom, going east) first, then the northing (the number up the side). A handy rule is "along the corridor, then up the stairs." A six-figure grid reference adds a third digit to each number by estimating tenths of the way across and up the square, pinpointing a spot to within about 100 m on a 1 : 50 000 topographic map, where each square is 1 km across.

Contour lines and slope

Map view (from above)AB100200300400500summit, about 520 mLines closetogether:steep slopeLines far apart:gentle slopeContour interval:100 m (the heightbetween lines)Side view (profile)along A–B0 m200 m400 m600 msteep sidegentle sideABEach dashed line dropsfrom a contour to itsheight on the profile.
Fig 4Top: a hill drawn with contour lines at 100, 200, 300, 400 and 500 m (a 100 m contour interval) around a summit of about 520 m, crossed by a line from A to B. The lines are close together on the west side and far apart on the east side. Bottom: the side view (profile) along A–B, built by dropping each contour crossing to its height, which rises steeply in the west and slopes gently in the east.

A contour line joins points of equal elevation (height above sea level). The contour interval is the difference in height between neighbouring lines, such as 10 m or 100 m. Read them like this: lines close together mean a steep slope; lines far apart mean a gentle slope; a set of closed rings getting smaller means a hill, with the summit inside the smallest ring; contour lines that bend into a V point upstream where they cross a valley or river. Contour lines never cross one another, except at an overhanging cliff. Drawing a profile (side view) along a line, as in the figure, turns these flat lines back into the shape of the land.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
On a 1 : 250 000 topographic map, two towns are 4.5 cm apart. Write the scale as a statement, then find the real distance between the towns.
Example 2
Toronto is at about 43.7° N, 79.4° W and North Bay is at about 46.3° N, 79.5° W. Estimate the straight-line distance between them.
Example 3
A hiking trail on a 1 : 50 000 map is 2.4 km long in real life. How long should it be on the map? Then give the bearing from a campsite to a lookout that lies exactly southwest of it.
Example 4
Using the contour figure (100 m contour interval, summit about 520 m), which side of the hill is steeper, and what is the elevation of a point on the third contour line up from the base?

Where marks get lost

  • Writing longitude first or dropping the letters. "79.4, 43.7" is ambiguous; write latitude first with directions: 43.7° N, 79.4° W.
  • Forgetting that 1 km = 100 000 cm. Dividing by 1000 instead of 100 000 makes a 3 km walk look like 300 km.
  • Mixing up large and small scale. 1 : 10 000 is a large scale (small area, lots of detail); 1 : 1 000 000 is a small scale (big area, little detail). In the same way, a 1 : 50 000 map is larger scale than a 1 : 250 000 map, even though 50 000 is the smaller number.
  • Using 111 km per degree for longitude. That is only true at the equator; degrees of longitude shrink toward the poles.
  • Reading close contour lines as flat land. Close lines mean a steep slope; widely spaced lines mean gentle or flat land.

Flashcards 10

Latitude
Longitude
Distance per degree of latitude
Representative fraction (ratio scale)
+ 6 more

Practice

1
On a 1 : 50 000 map, a lake is 8 cm long. How long is the lake in real life, in kilometres?
km
2
Two places on the same meridian are at 45° N and 49° N. Using about 111 km per degree of latitude, how far apart are they, in kilometres?
km
3
Write the scale 1 : 250 000 as a statement. 1 cm represents how many kilometres?
km
4
Which map has the largest scale, showing the smallest area in the most detail?
5
What is the bearing, in degrees, of a direction exactly southwest?
°
6
Starting at north and turning clockwise, put these compass directions in order.
  1. 1Northwest
  2. 2West
  3. 3Southwest
  4. 4North
  5. 5Northeast
  6. 6East
  7. 7Southeast
  8. 8South
7
Match each map type to the information it shows best.
Topographic map
Choropleth map
Dot density map
Flow map
Political map
8
On a topographic map, contour lines are packed very close together on one side of a ridge. What does this tell you?
9
What is the name of the line of 0° latitude?
10
Which is the correct way to write Toronto's approximate location?
11
When giving a four-figure grid reference, which number do you read first?

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