Mathematics
Intermediate
41 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
Protractor
Measure the Angles practice sheet

Measuring Angles Accurately with a Protractor

Learn to place a protractor correctly on a vertex and baseline, then read angles accurately using the right scale. Measure acute, obtuse and reflex angles to the nearest degree.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is an angle with a protractor laid on top of it. Just by looking, does this look right to you, or does something seem off?

    Key point

    Two things to check with your eyes. The middle dot of the protractor should sit right where the two arms meet, at the corner. The straight bottom edge of the protractor should lie flat along one of the arms. Is each of those in the right place here?

    2 - Watch and Notice ~9 mins

    Look at the protractor already placed on each angle and the measure shown. Notice which number ring starts at zero on the baseline arm, that is the ring we follow. Notice the two angles on the last one and how they make a full turn together.

    3 - Try It Together ~11 mins

    We measure on the board together now. One pupil comes up and reads the angle on the board's protractor aloud. Everyone else: keep your own protractor out at your desk, estimate the size silently in your head first, then get ready to agree or to say what you would change.

    Key point

    For this round the angle stays between and 180°, so each one is acute, right or obtuse. Estimate the size first — your estimate tells you which ring to trust.

    Measure the angle together

    4 - Measure the Angles in Your Copy ~3 mins

    COPYBOOK MOMENT

    Take out your 'Measure the Angles' practice sheet. With your own protractor, measure each of the three angles on the sheet and write its size in degrees beside it. Then mark each one as acute, right or obtuse.

    5 - Class Challenge ~8 mins

    Today we work through four angles together, each one a step harder. We read the size on the board's protractor and check before moving on. At your desk, place your own protractor on the same angle and measure it too.

    Measure each angle

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    How does estimating the size of an angle first stop us from reading the wrong scale on the protractor?

    7 - What's Next ~3 mins

    What we learned today

    • Put the protractor's centre on the vertex first, then lay the baseline along one arm.
    • Read from the ring that starts at zero on that arm.
    • Estimate the size first, so you read the correct ring.
    • For a reflex angle, measure the smaller angle and take it from 360°, because the two angles together make one full turn round the vertex.
    Coming up

    Next we turn the skill around: instead of reading an angle, you will construct your own exact angles with the protractor.

    Pupil practice
    Module 7 · 2D Shape, 3D Shape and Angles Data & Chance
    Lesson 72 · Measuring Angles Accurately with a Protractor
    Download Activity Book page (PDF)
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