Year 4GeometrySpatial reasoning and PathwaysYear 4 Maths

Flips, slides, turns and grid maps

What this lesson covers

  • A reflection is when a shape is flipped over a line, creating a mirror image.
  • A translation is when a shape is slid from one place to another without being turned.
  • A rotation is when a shape is turned around a fixed point.
  • An alphanumeric grid reference is a system that divides a map into labelled rows (letters) and columns (numbers), so that each square can be identified by combining a letter and a number (e.g. A1, B2).
Key idea

Three ways to move a shape

  • You can flip it over a line.
  • You can slide it somewhere else.
  • Or you can turn it around a point.
flip, slide, turn
everyday wordproper wordwhat happens
flipreflectionmirrored over a line
slidetranslationmoved, still facing the same way
turnrotationturned about a fixed point
Key idea

The shape itself never changes

  • Same side lengths. Same angles. Same size.
  • Only where it is, or which way it faces.
  • If your answer is bigger or squashed, something went wrong.
a check you can do on your own work
does this change?
the side lengthsnever
the anglesnever
where it isyes
which way it facesfor a flip or a turn
Worked example

A flip is a mirror

  • Put a mirror line down the middle.
  • Every corner hops to the other side, the same distance.
  • The triangle is now facing the other way.
A flip is a mirror
Key idea

Look at which way it points

  • The long leg pointed right. Now it points left.
  • That is how you know it was flipped and not slid.
  • A flip turns the shape back to front.
Look at which way it points
Worked example

A slide keeps it facing the same way

  • Move every corner the same distance, the same direction.
  • Here: 4 squares right and 3 up.
  • It still points exactly the way it did before.
A slide keeps it facing the same way
Key idea

So a flip and a slide are different

  • Both moved the triangle. Only one turned it around.
  • Check which way the long side points.
  • Same way: a slide. Other way: a flip.
which way it points gives it away
after a...the shape faces
slideexactly the same way
flipback to front
turna different way round
Worked example

A turn goes around a fixed point

  • Pick a point and pin the shape there.
  • Turn it a quarter turn (90 degrees).
  • The pin stays still. Everything else swings round.
A turn goes around a fixed point
Key idea

Saying where something is

  • One direction is labelled with letters, the other with numbers.
  • Every square then has its own name.
  • Letter first, then number. Always.
Saying where something is
Key idea

Why the order matters

  • B3 and 3B would be different squares.
  • Everyone has agreed: the letter comes first.
  • A rule only helps if we all use the same one.
the letter, then the number
referencemeans
A1the letter A, then the number 1
B3the letter B, then the number 3
D2the letter D, then the number 2
Your turn

Your turn

  • A shape is slid 3 right. Does it face a new way?
  • What is a flip properly called?
  • The hall is in the square marked B and 4. Write its reference.
Your turn
Show answer

No, a slide never changes which way a shape faces; that is exactly what separates it from a flip. A reflection. B4: the letter is always written first. Anyone who answers 4B has found the right square and written it the wrong way round, which on a real map means somebody else reads it as a different square entirely.

Summary

Moving shapes, and finding places

  • Flip, slide and turn never change the shape itself.
  • Which way it points tells you which one happened.
  • On a grid map, the letter always comes first.
pause here
ideawhat to remember
a flipa reflection (mirrored over a line)
a slidea translation (same way up)
a turna rotation (around a fixed point)
all threesame size, same angles, every time
telling them apartlook at which way it points
a grid referenceletter first, then number

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