Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
Protractor

Measuring Angles with a Protractor

Learn to use a protractor to measure angles accurately. You'll discover how to position it correctly, read both scales, and choose the right one by looking at the angle's opening.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Key question

    Here is a protractor and here is an angle. Where does the protractor go? Hands up: which part of the protractor lines up with which part of the angle?

    2 - Watch and Notice ~8 mins

    Watch four protractor readings on the IWB. We will work through them one at a time so you can see the placement and the reading on each.

    Reading 35°: an acute angle

    The centre of the protractor sits on the vertex. The zero is on one ray. The other ray crosses the inner scale at 35. Routine reading.

    Say the routine aloud together: centre on vertex, zero on ray, read where the other ray crosses.

    Reading 145°: the inner-vs-outer trick

    Same placement, but now look at both numbers where the ray crosses. You can see 145 on the outer scale and 35 on the inner scale. Only one is right. Why 145 and not 35? Look at the opening of the angle: it is bigger than a right angle, so the answer has to be the bigger number.

    Reading 90°: both scales agree

    At exactly 90°, both scales read 90. The right angle is the only spot on the whole protractor where the two scales give the same number.

    Hands up: anywhere else on the protractor where the two scales agree? (No, only at 90°.)

    Reading 178°: almost a straight angle

    The ray is squeezed right up against the straight line. Reading this one is fiddly: your eye has to land on the right tick mark, not the one next to it.

    3 - Try It Together ~11 mins

    Today we explore: four new angles on the IWB protractor. Both scales are visible. For each one, one pupil comes up to the board and reads the angle aloud, saying which scale they used. The rest of us decide first: is the angle acute or obtuse? Then we check whether the reader picks the right scale.

    Measure the angle on the board

    4 - Record Each Angle in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, sketch each angle we just measured on the board and write its reading underneath. Beside each reading, write whether you used the inner or outer scale. Underline the trickiest reading on the page.

    5 - Class Challenge ~8 mins

    Today's bank: six angles to measure with your own paper protractor. For each angle, place the centre on the vertex and the zero on one ray, read the measurement to the nearest degree, and write down which scale (inner or outer) you used. We compare readings on the board before moving on.

    Hands-on Task

    Pupil practice
    Module 6 · 2D and 3D Shape, Angles, Symmetry Shape & Space
    Lesson 76 · Measuring Angles with a Protractor
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