← Mathematics / 4 Geometry
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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What a scale is
40 min · 1 practice tasks · quizWhy big things are drawn small, and what has to stay the same for the drawing to be useful.
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Representing a length to a scale
40 min · 1 practice tasks · quizTaking a measured length from the world and drawing the line that stands for it.
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Actual length to scale length
40 min · 1 practice tasks · quizThe dividing direction, practised on a range of scales including ones that need unit conversion.
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Scale length to actual length
40 min · 1 practice tasks · quizThe multiplying direction: measuring a drawing and working out the real size.
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Linear scales in statement form
40 min · 1 practice tasks · quizReading a scale written in words, and using it to answer questions in both directions.
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Writing a scale in statement form
40 min · 1 practice tasks · quizWorking out the scale of a drawing you did not make, by measuring it and dividing.
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Linear scales in ratio form
40 min · 1 practice tasks · quizThe other way of writing a scale, with no units at all, and how to read it.
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Writing a scale in ratio form
40 min · 1 practice tasks · quizTurning a pair of measurements into a ratio by matching units and reducing to 1 : n.
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Statement form to ratio form
40 min · 1 practice tasks · quizConverting a written scale into a ratio by turning the real length into centimetres.
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Ratio form to statement form
40 min · 1 practice tasks · quizConverting a ratio back into words by reading the second number as centimetres.
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Making a scale drawing
40 min · 1 practice tasks · quizChoosing a scale that fits the paper, converting every measurement, and drawing accurately.
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A scale plan of a room
40 min · 1 practice tasks · quizDrawing a plan seen from above, including doors, windows and furniture, and what happens to areas.
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Scale drawing in real life
40 min · 1 practice tasks · quizThe trades that depend on scale drawings, the scales they use, and enlargement scales.
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Scales on maps
40 min · 1 practice tasks · quizMeasuring distances on a map, converting them, and using a printed scale bar.