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 the angle opens less than the corner, it is an acute angle. If it opens more than the corner, it is an obtuse angle.

    Illustration for Watch and NoticeWatch as each angle is held against a folded-paper square corner. Look at four angles in turn and decide, before the check, whether each is smaller or bigger than the square corner.

    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

    Sort each angle card by whether it is smaller than, the same as, or bigger than a square corner. A tilted angle opens the same amount no matter which way it points.

    Now we sort trickier sets. We work through four rounds:

    • clearly acute and clearly obtuse angles
    • angles close to a right angle — check carefully
    • a set with some exact right angles
    • tilted angles, which are turned to point a different way

    Sort the angles by size

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