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Features

  • Describe the move from point A to point B: so many squares left or right, then up or down
  • Translate shapes and a point and draw where they end up
  • Describe the translation that moved shape A to shape B
  • Reflect shapes in vertical and horizontal mirror lines, touching the line or apart from it
  • Translate and reflect shapes on a coordinate grid and write the new coordinates of each vertex
  • Translation, reflection or neither: the shape itself stays the same
  • A worked example on every page
  • Answer keys included

Skills Covered

  • Describe a move as so many squares left or right and up or down
  • Translate a point or a shape on a square grid
  • Describe the translation from one shape to another
  • Reflect a shape in a vertical or horizontal mirror line
  • Give the new coordinates of each vertex after a translation or reflection
  • Know that a translated or reflected shape keeps its size and shape

How to Use This Pack

Six pages for Years 4 and 5 on moving shapes on a square grid. Page 1 asks children to describe the move from point A to point B, counting squares left or right first, then up or down. Page 2 gives a move and children translate each shape, or a point, and draw where it ends up. Page 3 works the other way: shape A has been translated to shape B and children describe the move. Page 4 reflects shapes in a mirror line drawn on the grid, some touching the line and some apart from it. Page 5 is for Year 5: children translate or reflect a shape on a coordinate grid in the first quadrant and write the new coordinates of each vertex. Page 6 shows pairs of shapes and asks whether B is a translation of A, a reflection, or neither.

In the Classroom

Put a shape on a squared board or a floor grid and move it together: "3 squares right and 2 squares down". Ask which corner children counted from and whether it matters. Then hold a mirror on a line of the grid and compare the shape with its reflection: what stays the same, and what has changed?

At Home

Draw a simple shape on squared paper and take turns giving moves to each other, such as "4 left, 1 up", then drawing where the shape ends up. Fold the paper along a grid line and draw the shape's reflection on the other side.

Tips for Success

  • Pick one corner of the shape and count the squares it moves
  • Count left or right first, then up or down
  • Every corner moves the same way in a translation
  • In a reflection each corner is the same distance from the mirror line on the other side
  • Translated and reflected shapes stay the same size and shape

Translations and Reflections

4th – 5th Grade

Moving points and shapes on a square grid by translation and reflection. Students describe moves as so many squares left or right and up or down, draw translated and reflected shapes, give the new coordinates of each vertex and decide whether a shape has been translated or reflected.

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What’s Included

  • 6 worksheets with answer keys (12 pages)
  • Describe moves and translations on a square grid
  • Translate and reflect shapes, with and without coordinates
  • Translation, reflection or neither
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