Look at this paper butterfly. If we folded it right down the middle, both wings would land exactly on top of each other.
Where else could you fold a shape so the two halves match perfectly? Have a think before any hands go up.
Watch the shapes fold on the board. When a shape folds so both halves land exactly on top of each other, that fold is a line of symmetry, also called a mirror line. Watch how many ways each shape folds to match.
So some shapes fold to match in lots of ways, and some only fold to match once.
Each shape is drawn for you on the grid. For each one, decide where it folds so that one half lands exactly on the other, choose those folds, and check. We work through a letter T, a rectangle, a square and an L-shape — and one of them has no fold at all.
Not every fold goes straight up and down. The square has folds corner to corner as well.
In your maths copy, draw a square and a rectangle. Then use your ruler to draw every line of symmetry you can find on each one.
Underneath each shape, write how many lines of symmetry it has.
Today we work through these shapes together: a heart, then a rectangle. For each one, find the lines of symmetry, the folds where both halves match exactly.
At the end we will think together about a circle. How many ways could you fold a circle so the halves match?
How can you test whether a fold is a true line of symmetry? What must the two halves do?
Next we will use the mirror line to complete symmetrical pictures, building the matching half square by square.
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