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

Constructing Angles with a Protractor

Learn to construct angles accurately using a protractor. Rule a baseline, place the protractor at the vertex, count up from zero to the required degree, mark the dot and join it to complete the angle. Measure back to check your work.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Key point

    You already know how to measure an angle that is drawn for you. Today you build the angles yourself.

    Illustration for Getting StartedLook at the baseline on the board. A pencil mark in one spot gives one angle; a mark somewhere else gives a different one. Where would the mark need to go to build an angle of exactly 55°?

    2 - Watch and Notice ~9 mins

    Three angles built on the board, one after another. Watch the five moves each time: rule the baseline, place the protractor on the vertex, count up from zero to the size, mark the dot, then join the vertex to the dot. Watch especially the small one — small angles are easy to overshoot.

    3 - Build These in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, construct a 60°, a 110° and a 25° angle with your own protractor. These are the three you just watched built on the board. Rule a fresh baseline for each one, mark the degree from zero, join the vertex to the mark, and label each angle with its size.

    4 - Try It Together ~8 mins

    Tip

    The 135° is the tricky one, so we say the count aloud before we mark it.

    Now we construct these together: 40°, then 90°, then 135°. Build each one on paper with your protractor — rule the baseline, count up from zero, mark the dot and join the vertex. Then we measure it back on the board tool to prove it is the size we asked for.

    Measure back to check

    5 - Class Challenge ~10 mins

    Now we work through these together: construct 30°, then 75°, and finally two angles that together make a straight line. Predict where each mark will land before we check it.

    Key point

    For the last one, build a 60° angle, then look at the straight line it sits on. A straight line is 180° in total. The 60° takes up part of it, so work out what is left for the angle beside it. Build that partner and see the two angles close up to a straight line.

    Construct the called angle

    Pupil practice
    Module 7 · 2D Shape, 3D Shape and Angles Data & Chance
    Lesson 73 · Constructing Angles with a Protractor
    Download Activity Book page (PDF)
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