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Help at home · Maths

How to explain reflection and translation to your child

Move a shape on a grid (translate it, e.g. 3 right and 2 down) or reflect it in a mirror line, and give the new coordinates.

The note

How schools teach it now

A translation slides a shape without turning it, described as left or right, then up or down. A reflection flips it in a mirror line: each corner ends up the same distance away on the other side. Year 6 does both in all four quadrants.

5-minute kitchen-table activity

Put a coin on a squared-paper grid. Call out moves ('4 right, 1 down') and your child slides it and says the new coordinates. Then fold along a line and hold the paper to a window to check a reflection.

Worked example

Point A is at (2, 3). It is translated 4 left and 5 down. Where does it end up?

  1. 4 left: x goes from 2 to −2.
  2. 5 down: y goes from 3 to −2.

Answer: (−2, −2)

Common mistakes to watch for

  • Moving up when the question says down, or mixing up x and y.
  • Measuring to the mirror line from the wrong corner.
  • Sliding the shape when it should be flipped.

Encouragement

Try saying
“Move one corner at a time and check it.”
Rather than
“Just copy it over there.”

Practise reflection and translation with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.