Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
Teacher-led from the board — pupils need no device
What you need:
IWB/Projector/Large Screen
Protractor

Drawing Angles with a Protractor

Learn to draw angles of a given size accurately using a protractor and ruler. You'll mark the centre dot first, rule the baseline, then count round the scale to place the second ray.

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    Angle tool
    Angle tool

    1 - Getting Started ~4 mins

    Illustration for Getting StartedYou already know how to measure an angle that is already drawn on the page. Today the job flips: I will give you a size, and you draw the angle to match.

    Key point

    Watch the screen. I am going to draw a 60° angle in three moves. Before I start, tell me: which do you think comes first, the dot in the middle or the slanted line?

    2 - Watch and Notice ~9 mins

    Each angle was drawn in three moves: mark the dot, rule the baseline, then count round to the target and mark it, and rule the second ray through that mark. Here are four angles drawn to a target: 60°, then 95°, then 135°, then a tricky 175° that is almost a straight line. For each one, look at where the ray lands against the scale.

    The 175° one is the one to watch: the ray is nearly flat, so a tiny slip changes the reading a lot.

    3 - Try It Together ~9 mins

    Key point

    Say the target aloud together before anyone drags the ray.

    Today we draw these angles together on the board: 110°, then 75°, then 90°. The whole class calls out the size and predicts where the ray has to land, then a volunteer comes up to set it on the board.

    Draw to the target together

    4 - Draw the Angles in Your Copy ~3 mins

    COPYBOOK MOMENT

    Now you draw them yourself. In your maths copy, use your protractor to draw each of these angles and label it with its size underneath:

    • 30°
    • 75°
    • 90°
    • 115°
    • 165°

    When you finish, circle the one you found hardest to draw.

    5 - Class Challenge ~7 mins

    Key point

    Now we practise to the target on the board. We work through these in order: 40°, then 125°, then 90°, and finally 160°. Set the ray, then use Check to confirm each one before we move on.

    Draw to the target: Check each one

    Pupil practice
    Module 6 · 2D and 3D Shape, Angles, Symmetry Shape & Space
    Lesson 82 · Drawing Angles with a Protractor
    Download Activity Book page (PDF)
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