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

Location and Transformation Investigation

Design symmetrical patterns using flips and slides on a grid, record grid references before and after each move, and describe transformations so others can recreate them.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedI have a tile design on the grid. It was built by flipping and sliding one small shape, and it has a mirror line down the middle.

    Which moves do you think made it: flips, slides, or turns? And where on the grid do you think each piece sits?

    2 - Watch and Notice ~8 mins

    First, watch a symmetrical design on the grid. Notice how each shaded square on the left has a matching square the same distance on the right of the mirror line.

    Now watch three points on the co-ordinate grid. We read each one across first, then up, and we write it as (across, up).

    3 - Find the Mirror Line ~6 mins

    Here is point A on the grid. First, look at where a vertical mirror line could sit so the point would flip neatly onto its match.

    Then look at point A. What is its grid reference, across first? And if you flipped the point across the mirror line, how many squares would it land on the other side?

    If you are not at the board, call out the point's reference aloud, across first, before we check it together.

    Plot, reflect and slide together

    4 - Try It Together ~10 mins

    Today we work through these together on the co-ordinate grid. Our mirror line is the vertical line at 5 across. Each time, say the reference aloud, across first, before you plot it:

    • Reflect (2, 3) across the mirror line at 5 across.
    • Slide (5, 1) three across and two up.
    • Reflect (7, 4) across the mirror line and read its new reference.

    If you are not at the board, call out the new reference, across first, before the pupil at the board taps it in.

    Plot, reflect and slide together

    5 - Design Your Pattern in Your Copy ~4 mins

    COPYBOOK MOMENT

    Illustration for Design Your Pattern in Your CopyIn your maths copy on squared paper, design your own small symmetrical pattern on a grid. Draw a mirror line first, then shade one half and mirror it across the line.

    When your pattern is finished, label the grid reference of three of its squares, writing each one across first, then up.

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 99 · Location and Transformation Investigation
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