← Mathematics / 4 Geometry
4.2 Scale Drawing
Mathematics · Grade 9 · 14 lessons in the design
What this covers
- Compass and true bearings
- Bearing of a point
- Angles of elevation and depression
- Simple surveying
What you will be able to do
- identify compass and true bearings in real-life situations
- determine the bearing of a point from another point in real-life situations
- locate a point using bearing and distance in real-life situations
- identify angles of elevation in real-life situations
- determine angles of elevation in different situations
- identify angles of depression in real-life situations
- determine angles of depression in different situations
- apply scale drawing in simple surveying
- appreciate the use of scale drawing in real-life situations
Key questions
“How do we use scale drawing in real life?”
Lessons
The titles are open to everyone. Reading a lesson needs an account — sign in or create one.
-
Compass directions
40 min · 1 practice tasks · quizThe eight points of the compass, and the angle each one sits at from north.
-
Compass bearings
40 min · 1 practice tasks · quizA compass bearing names where you start, how far you turn, and which way.
-
True bearings
40 min · 1 practice tasks · quizOne angle, turned clockwise from north, written with three figures.
-
Changing between the two forms
40 min · 1 practice tasks · quizA quick sketch turns a compass bearing into a true bearing, and back again.
-
The bearing of one point from another
40 min · 1 practice tasks · quizEvery bearing is taken from somewhere, so each point needs its own north line.
-
Back bearings
40 min · 1 practice tasks · quizThe bearing back is the bearing out, turned half a circle: add 180 or subtract 180.
-
Choosing and using a scale
40 min · 1 practice tasks · quizA scale says what one drawn centimetre stands for: divide going onto paper, multiply coming off it.
-
Locating a point from a bearing and a distance
40 min · 1 practice tasks · quizA bearing gives a direction and a distance gives a length; together they fix one point.
-
A journey in several legs
40 min · 1 practice tasks · quizDraw each leg from where the last one ended, with a fresh north line at every turning point.
-
Angles of elevation
40 min · 1 practice tasks · quizLooking up at something, the angle between your line of sight and the horizontal.
-
Finding a height by scale drawing
40 min · 1 practice tasks · quizDraw the measured distance and angle to scale, then measure the height off the drawing.
-
Angles of depression
40 min · 1 practice tasks · quizLooking down from a height, the angle below the horizontal, and it equals the elevation from below.
-
Finding a distance from an angle of depression
40 min · 1 practice tasks · quizDraw the height and the angle to scale, and the distance can be measured off.
-
Simple surveying
40 min · 1 practice tasks · quizOne straight baseline and a set of right-angled offsets will map an irregular plot.