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MathidiaMathematics Academy
Circles and constructions
Lesson 55 of 75
Review

Scale drawings and constructions

Objective. Construct and interpret accurate scale diagrams.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Scale drawings and constructions develops a connected mathematical idea rather than an isolated trick. Reason with circle measures and accurate geometric constructions. Begin by representing the quantities or relationships, choose a rule that fits, justify each transformation, and finish by checking units, signs, scale and whether the answer is reasonable.

Worked example

Write the bearing 45° as three figures.

45
Illustrated card showing 45
  1. 1Identify the known information, the unknown and any conditions.
  2. 2Choose a diagram, table, graph or algebraic representation that exposes the structure.
  3. 3Apply the relevant rule one justified step at a time, keeping exact values where useful.
  4. 4Check by substitution, inverse reasoning or estimation. The result is 045°.

Answer: 045°

Concept mastery

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Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

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Common mistake. A common error in scale drawings and constructions is to copy a procedure without checking its conditions. Label the structure first and justify every sign, operation and unit.

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