Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
squared paper

Completing Symmetrical Pictures Across a Mirror Line

Complete symmetrical pictures by finding the matching squares on the other side of a mirror line. Count each square's distance from the line to place its reflection exactly.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is half of a simple house, drawn right beside a straight line. Imagine a mirror standing up on that line. What would the missing half of the house look like in the mirror? Would the door move? Would the roof slope the other way?

    2 - Watch and Notice ~10 mins

    Illustration for Watch and NoticeWatch as we complete four pictures across the mirror line. Each time, look at how far every shaded square sits from the line, then notice that its match lands the very same distance on the other side.

    An L-shape of 3 squares

    Three squares on one side, three matching squares the same distance away on the other.

    A small staircase of 4 squares

    The steps climb on one side, then climb the opposite way in the mirror.

    An arrow pointing left

    The arrow flips in the mirror, so now it points the other way, and every square lands the same distance from the line.

    A tree-top triangle on a trunk

    The trunk sits on the line and the leaves match on both sides.

    3 - Try It Together ~11 mins

    Today we work this together on the board: a few squares are shaded on one side of the mirror line. We will shade the matching squares on the other side, counting how far each one sits from the line before we place its partner. When we finish the first picture, we will clear the board and try one fresh pattern with a new volunteer.

    Complete the half across the mirror line

    4 - Build Alongside in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Build Alongside in Your CopyIn your maths copy on squared paper, draw a vertical mirror line. Shade a small pattern of four squares on the left. Then shade its mirror image on the right, counting the squares from the line each time so every match lands the same distance away.

    5 - Class Challenge ~10 mins

    Today we work through these reflections together: first a 3-square picture, then a 5-square one, then a picture that touches the mirror line. Last of all, we reflect across a horizontal mirror line. A horizontal line lies flat across the page instead of standing up, so this time we count the squares up and down from the line rather than left and right.

    Complete the reflection

    6 - What Did We Notice? ~2 mins

    MATHS TALK

    How does counting squares from the mirror line help you place each matching square exactly? When the picture touched the line, what happened to that square — did it move, or stay put?

    7 - What's Next ~3 mins

    What we learned

    • A picture and its reflection match exactly across a mirror line.
    • Each shaded square has a partner the same number of squares from the line.
    • Always count back to the mirror line, not to the edge of the grid.

    Coming up

    Next we will reflect a whole shape across a line, so the shape flips over and faces the opposite way.

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 85 · Completing Symmetrical Pictures Across a Mirror Line
    Download Activity Book page (PDF)
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