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

Completing Symmetrical Patterns Across a Mirror Line

Complete symmetrical patterns by counting squares from a mirror line and placing reflected squares the same distance away on the opposite side.

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    1 - Getting Started ~4 mins

    Here is half a butterfly. A straight mirror line runs down the middle of its body, and one wing is missing a coloured spot.

    Look closely: the spot on the wing we can see sits a few squares out from the line. Where must the missing spot go on the other wing so the butterfly matches itself perfectly?

    2 - Watch and Notice ~7 mins

    A square one out from the line

    Watch as a single coloured square sits one square to the left of the mirror line. Its mirror square goes one square to the right. Same distance, opposite side.

    A square three out from the line

    Now a square sits three squares from the line. Count carefully: its mirror goes three squares back the other way. The number of squares from the line is what matters.

    An L-shape of three squares

    This time three squares make an L. Each square is reflected on its own, counting its own distance from the line. The whole L flips to face the other way.

    A square sitting on the line

    Here a square sits right on the mirror line itself. A square on the line stays exactly where it is — it is its own mirror.

    3 - Try It Together ~9 mins

    Today we work through this together: a few squares are coloured on one side of the mirror line, and we complete the other side so the pattern is symmetrical.

    Key point

    For each square we count how far it sits from the line, then place its mirror exactly the same number of squares away on the opposite side. Take your turn at the board and the class will agree or correct.

    Complete the pattern across the line

    4 - Build the Mirror in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy on squared paper, draw a straight vertical mirror line down the middle of the page.

    Colour three squares on the left of the line. Then shade their mirror squares on the right so the whole pattern is symmetrical. Count carefully each time: the same number of squares from the line, on the opposite side.

    5 - Class Challenge ~11 mins

    Today we work through these patterns together, each one a little trickier than the last: a four-square pattern, then a six-square pattern, then a pattern with a square sitting right on the mirror line.

    Tip

    Take your turn at the board, complete the pattern, then we check it before moving on.

    Complete the symmetrical pattern

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 85 · Completing Symmetrical Patterns Across a Mirror Line
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