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

Comparing Angles to a Right Angle: Acute and Obtuse

Learn to compare angles to a right angle (the corner of your copybook) to decide whether they are acute (smaller) or obtuse (bigger). Sort angles into these three groups.

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    1 - Getting Started ~4 mins

    Illustration for Getting Started

    Key point

    Look at a pair of scissors opened just a little, and then opened out wide. One opening is a small angle, the other is a big one. Which opening is smaller than a square corner, like the corner of your copybook? Which one is bigger?

    2 - Watch and Notice ~8 mins

    Key point A square corner is a right angle. If an angle opens less than the corner it is acute. If it opens more than the corner it is obtuse.

    Four angles on the board, each drawn on a protractor. Take them one at a time and decide, before you read the label, whether it is smaller or bigger than a square corner.

    The last two are the ones that matter. They sit either side of the corner by only a few degrees, so guessing by eye is not enough.

    3 - Try It Together ~8 mins

    Key point

    Today we sort angles into three groups: acute (smaller than a square corner), right angle (an exact square corner), and obtuse (bigger than a square corner).

    Pupils take turns at the board while the class watches and agrees aloud. We take the angles one round at a time. First we sort a clearly narrow angle and a clearly wide one. Then we look at an exact square corner. Last we check one that is only just bigger than a right angle. For each card, decide whether the angle is smaller than, the same as, or bigger than a square corner.

    Acute, right angle or obtuse?

    4 - Draw and Label in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw one acute angle and one obtuse angle. Use the corner of your copybook to check each one against a right angle. Label the smaller one acute and the bigger one obtuse.

    5 - Class Challenge ~11 mins

    Key point A right angle is exactly 90 degrees. Under 90 is acute. Over 90 is obtuse. That one number settles every card, even the ones that look almost the same.

    Four rounds, getting harder: clearly acute and clearly obtuse, then angles within a couple of degrees of a right angle, then a set with exact right angles in it, then tilted angles. A tilted angle opens the same amount no matter which way it points.

    Sort the angles by size

    Pupil practice
    Module 7 · 2D and 3D Shapes and Angles Shape & Space
    Lesson 86 · Comparing Angles to a Right Angle: Acute and Obtuse
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