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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

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  1. Compass directions
    40 min · 1 practice tasks · quiz
    The eight points of the compass, and the angle each one sits at from north.
  2. Compass bearings
    40 min · 1 practice tasks · quiz
    A compass bearing names where you start, how far you turn, and which way.
  3. True bearings
    40 min · 1 practice tasks · quiz
    One angle, turned clockwise from north, written with three figures.
  4. Changing between the two forms
    40 min · 1 practice tasks · quiz
    A quick sketch turns a compass bearing into a true bearing, and back again.
  5. The bearing of one point from another
    40 min · 1 practice tasks · quiz
    Every bearing is taken from somewhere, so each point needs its own north line.
  6. Back bearings
    40 min · 1 practice tasks · quiz
    The bearing back is the bearing out, turned half a circle: add 180 or subtract 180.
  7. Choosing and using a scale
    40 min · 1 practice tasks · quiz
    A scale says what one drawn centimetre stands for: divide going onto paper, multiply coming off it.
  8. Locating a point from a bearing and a distance
    40 min · 1 practice tasks · quiz
    A bearing gives a direction and a distance gives a length; together they fix one point.
  9. A journey in several legs
    40 min · 1 practice tasks · quiz
    Draw each leg from where the last one ended, with a fresh north line at every turning point.
  10. Angles of elevation
    40 min · 1 practice tasks · quiz
    Looking up at something, the angle between your line of sight and the horizontal.
  11. Finding a height by scale drawing
    40 min · 1 practice tasks · quiz
    Draw the measured distance and angle to scale, then measure the height off the drawing.
  12. Angles of depression
    40 min · 1 practice tasks · quiz
    Looking down from a height, the angle below the horizontal, and it equals the elevation from below.
  13. Finding a distance from an angle of depression
    40 min · 1 practice tasks · quiz
    Draw the height and the angle to scale, and the distance can be measured off.
  14. Simple surveying
    40 min · 1 practice tasks · quiz
    One straight baseline and a set of right-angled offsets will map an irregular plot.