Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Drawing Circles with a Compass

Learn to set a compass to a radius and draw circles accurately by keeping the point still and rotating the pencil-arm smoothly. Master the three steps: set, plant, rotate.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedWatch the compass go all the way round in one smooth turn and draw a perfect circle. What did the compass keep the same the whole way round, and what changed?

    2 - Watch and Notice ~8 mins

    Here are three finished circles drawn with a compass. Each was made by setting the gap to the radius, planting the sharp point, then rotating the pencil-arm without lifting it.

    Now a bigger circle. Notice the gap between the point and the pencil is the radius every time.

    And a small circle, where the two legs are almost touching. Look carefully at how the curve joins back up.

    3 - Try It Together ~10 mins

    Today we draw a circle to each radius we call out: first 3 cm, then 5 cm, then 2 cm. The screen lets you set the radius with the slider and draw; you set your own compass gap against your own ruler, plant the point, and rotate without lifting. One of you works the screen at the front while everyone draws the same circle on paper.

    Set the radius and draw

    4 - Draw the Rings in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw three circles that all share the same centre (these are called concentric circles). Mark the shared centre with a small cross. Set your compass to 2 cm first and draw without lifting; then re-set to 4 cm and draw again; then 6 cm.

    5 - Class Challenge ~9 mins

    Today we draw a circle to each target radius: 2.5 cm, then 3 cm, then 4.5 cm, then 5 cm. Measure each gap against your ruler before you plant the point, then check your circle against the target on screen.

    Draw to the target radius

    Pupil practice
    Module 6 · 2D and 3D Shape, Angles, Symmetry Shape & Space
    Lesson 78 · Drawing Circles with a Compass
    Download Activity Book page (PDF)
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