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4.3 Scale Drawing

Mathematics · Grade 8 · 14 lessons in the design

What this covers

  • Scale length
  • Conversions in scale
  • Linear scales
  • Making scale drawings

What you will be able to do

  • represent length to a given scale in different situations
  • convert actual length to scale length in real-life situations
  • convert scale length to actual length in real-life situations
  • interpret linear scales in statement form in different situations
  • write linear scales in statement form in different situations
  • interpret linear scales in ratio form in different situations
  • write linear scales in ratio form in different situations
  • convert linear scales from statement form to ratio form and from ratio form to statement form
  • make scale drawings in different situations
  • apply scale drawing in real-life situations
  • recognise the use of scale drawing in maps

Key questions

“How do we determine scales in real life?”

“Where do we use scale drawing in real-life situations?”

Lessons

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  1. What a scale is
    40 min · 1 practice tasks · quiz
    Why big things are drawn small, and what has to stay the same for the drawing to be useful.
  2. Representing a length to a scale
    40 min · 1 practice tasks · quiz
    Taking a measured length from the world and drawing the line that stands for it.
  3. Actual length to scale length
    40 min · 1 practice tasks · quiz
    The dividing direction, practised on a range of scales including ones that need unit conversion.
  4. Scale length to actual length
    40 min · 1 practice tasks · quiz
    The multiplying direction: measuring a drawing and working out the real size.
  5. Linear scales in statement form
    40 min · 1 practice tasks · quiz
    Reading a scale written in words, and using it to answer questions in both directions.
  6. Writing a scale in statement form
    40 min · 1 practice tasks · quiz
    Working out the scale of a drawing you did not make, by measuring it and dividing.
  7. Linear scales in ratio form
    40 min · 1 practice tasks · quiz
    The other way of writing a scale, with no units at all, and how to read it.
  8. Writing a scale in ratio form
    40 min · 1 practice tasks · quiz
    Turning a pair of measurements into a ratio by matching units and reducing to 1 : n.
  9. Statement form to ratio form
    40 min · 1 practice tasks · quiz
    Converting a written scale into a ratio by turning the real length into centimetres.
  10. Ratio form to statement form
    40 min · 1 practice tasks · quiz
    Converting a ratio back into words by reading the second number as centimetres.
  11. Making a scale drawing
    40 min · 1 practice tasks · quiz
    Choosing a scale that fits the paper, converting every measurement, and drawing accurately.
  12. A scale plan of a room
    40 min · 1 practice tasks · quiz
    Drawing a plan seen from above, including doors, windows and furniture, and what happens to areas.
  13. Scale drawing in real life
    40 min · 1 practice tasks · quiz
    The trades that depend on scale drawings, the scales they use, and enlargement scales.
  14. Scales on maps
    40 min · 1 practice tasks · quiz
    Measuring distances on a map, converting them, and using a printed scale bar.