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

Translation, Sliding Shapes on Squared Paper

Pupils learn to slide shapes across squared paper without turning or flipping them. They discover that every corner moves the same number of squares across and up, and practise describing slides in precise language.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedPicture a shape sitting on squared paper. Now picture the very same shape a few squares away in a new spot.

    What would be the same about the two, and what would be different? Would the shape need to turn, flip, or just move across?

    2 - Watch and Notice ~8 mins

    Watch three arrow shapes on the grid. Each one starts in its first spot, then a copy appears in a new spot. Nothing turns and nothing flips — the copy just moves.

    For each one, watch how far the shape travels: how many squares across, then how many squares up. Every corner takes the same journey.

    For the last one, be ready to say the across-and-up move out loud before the copy lands.

    3 - Try It Together ~10 mins

    Today we slide the arrow together on the board, one slide at a time:

    • 4 squares right
    • 3 squares up
    • 2 right and 1 up
    • 3 left and 2 down

    A slide can go left or down too. Left is just across the other way, and down is just up the other way — so across-and-up words still describe it.

    Each time, check that every corner has moved the same amount, and that the arrow still faces the same way.

    Slide the arrow together

    4 - Sketch the Slide in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Sketch the slide in your copyIn your maths copy on squared paper, draw a small arrow shape. Then draw it again after a slide of 5 squares right and 3 squares up.

    Check every corner has moved the same: five across and three up. The slid arrow should face exactly the same way as the first one.

    5 - Class Challenge ~10 mins

    Today we slide the arrow shape on squared paper, one slide building on the last:

    • Slide 3 squares right
    • Then a further 4 squares up
    • Then 2 squares left and 3 squares down

    Now find the single slide that would take the arrow from its very first spot straight to its last. Add up the across moves on their own, and the up moves on their own. For a stretch: find the slide that brings the arrow all the way back to where it began.

    Build the slides on the grid

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 95 · Translation, Sliding Shapes on Squared Paper
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