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

Turns: Quarter, Half and Three-quarter Turns

Learn to make quarter, half and three-quarter turns, understanding how a quarter turn matches the size of a right-angle corner. Practise turning shapes and predicting where they will face.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedStand up and face the front of the room. Without moving your feet, we will turn together and name each stop.

    First we turn clockwise (to the right): one quarter turn, then another to make a half turn, then one more to make a three-quarter turn, then one last quarter to face the front again. Before each stop, say where you think you will be facing.

    Now face the front again. This time we turn anticlockwise (to the left) the same way: quarter, half, three-quarter, then full turn back to the front. Notice that a half turn still leaves you facing the opposite wall, whichever way you turn.

    2 - Watch and Notice ~9 mins

    Watch the arrow on the screen. It starts pointing up. Each time it turns a quarter, it moves the size of one square corner: first it points right, then down, then left, then back to the start.

    Now watch a square turn. A square looks the same after every single quarter turn, because a quarter turn is exactly the size of a square corner.

    3 - Try It Together ~11 mins

    Today we work through these turns together on the shape on the screen. First give it a quarter turn clockwise. Then turn again to make a half turn. Then turn once more for a three-quarter turn. Then one last turn brings it all the way back to the start. Before each one, say where you think the shape will end up.

    Turn the shape together

    4 - Draw the Turns in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw an arrow pointing up. Then draw the same arrow three more times beside it: after a quarter turn, after a half turn, and after a three-quarter turn, all turning clockwise. Label each one.

    5 - Name the Turn ~8 mins

    Now let's name the turns together. The arrow starts pointing up. We turn it clockwise and stop, then say which turn moved it there: a quarter turn, a half turn, a three-quarter turn or a full turn. Say your answer before we look at where it ends up.

    Name the turn

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 87 · Turns: Quarter, Half and Three-quarter Turns
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