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

Reflecting a Shape Across a Line

Learn how to flip a shape across a mirror line so it faces the opposite way, keeping every corner the same distance from the line. Work through reflections across vertical, horizontal and diagonal lines.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at this picture of a pattern-block triangle standing beside a mirror. The triangle points to the right. Its reflection sits in the mirror.

    Which way is the reflection pointing? The same way as the triangle, or the opposite way? Have a good look before any hands go up.

    2 - Watch and Notice ~12 mins

    The interactive reflects each shape across a mirror line. Watch which way the shape flips, and count the squares from the line to a corner and back the same distance on the other side.

    3 - Try It Together ~8 mins

    Today we explore reflections on the board. We build a small shape on one side of the mirror line, and the tool flips it across to the other side. Watch where each flipped corner lands.

    Key point

    We will try a triangle across a line, then an L-shape, checking each time that every corner is the same distance from the line.

    Reflect the shape across the line

    4 - Draw the Reflection in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Draw the Reflection in Your CopyIn your maths copy on squared paper, draw a vertical mirror line. On the left of the line, draw a flag shape. Then carefully draw its reflection on the right.

    Check each corner: count how many squares the corner is from the line, then count the same number on the other side. Every corner must be the same distance from the line.

    5 - Class Challenge ~10 mins

    Key point

    Today we work through these reflections together. Remember: a reflection flips the shape; it is never just slid along.

    1. Reflect a triangle across a vertical line.
    2. Reflect the triangle across a horizontal line.
    3. Reflect an arrow so it points the opposite way.
    4. Reflect a shape that touches the line.
    Tip

    If we have time, there is an optional stretch: reflect an L across a diagonal line.

    Reflect each shape across the line

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 93 · Reflecting a Shape Across a Line
    Download Activity Book page (PDF)
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