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

Reflecting a Shape Across a Line

You will flip shapes over a line so they face the other way, keeping each corner the same distance from the line. Learn what stays the same and what changes when a shape is reflected.

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    1 - Getting Started ~4 mins

    Look at this before-and-after picture: the same shape facing left, then facing right, like it is looking in a mirror. What stayed the same about the shape, and what changed? Have a think before any hands go up.

    2 - Watch and Notice ~11 mins

    Triangle across a line

    Watch this triangle flip over a line that goes up and down. The new triangle faces the other way, but it is the same size. Look how far each corner sits from the line.

    Rectangle across a line

    Now watch a rectangle flip over the same kind of line. Notice that every corner lands the same number of squares from the line as its matching corner.

    Arrow across a line

    Here is an arrow pointing one way. After it flips, which way does it point now?

    A shape sitting away from the line

    This shape does not touch the line. It sits two squares away from it. Watch carefully: the reflection also lands two squares away, but on the other side. That makes two squares this side, two squares that side, four squares across the line in total.

    L-shape across a line that goes side to side

    This time the line goes across, not up and down. Watch the L-shape flip downwards over it.

    3 - Try It Together ~8 mins

    Watch as we build a simple shape on one side of the mirror line and its reflection appears on the other side. Check together that each reflected corner is the same number of squares from the line, and that the shape now faces the other way.

    Flip a shape over 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 line up and down the page. Draw a simple flag shape on one side. Then draw its reflection on the other side, checking each corner is the same number of squares from the line.

    5 - Class Challenge ~8 mins

    Today we work through these reflections together: flip a triangle across a line that goes up and down, then an arrow the same way, then an L-shape across a line that goes side to side, and finally a shape that sits two squares away from the line. For that last one, count it out loud: two squares this side, two squares that side, so the reflection lands four squares across the line from the start.

    Watch out

    The last one catches people out, so check each corner carefully before we move on.

    Reflect each shape across the line

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    What stays the same when a shape is reflected, and what changes? Think about the size, the way it faces, and how far each corner is from the line.

    7 - What's Next ~2 mins

    What we learned today

    • A reflection flips a whole shape over a line so it faces the other way.
    • The shape stays exactly the same size.
    • Each corner of the reflection is the same number of squares from the line as its matching corner.

    Coming up

    Coming up

    Next we will look at turns: quarter turns, half turns and three-quarter turns, and how a shape moves around a point.

    Pupil practice
    Module 8 · Symmetry, Location and Transformation Algebra
    Lesson 86 · Reflecting a Shape Across a Line
    Download Activity Book page (PDF)
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