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      Describe translations of polygons drawn on a square grid

      Lesson details

      Learning outcome

      I can describe translations of polygons drawn on a square grid.

      Key learning points

      1. If a shape has moved you say it has been translated.
      2. If a shape has moved, you can describe the move using left, right, up, down and the number of squares moved.
      3. A shape can be translated in a vertical and horizontal direction.

      Keywords

      • Translated / translating - Translation is a transformation in which every point of a shape moves the same distance in the same direction. The act of moving is to translate.

      • Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.

      Common misconception

      Pupils might miscount the number of squares moved horizontally or vertically, resulting in an inaccurate translation.

      Encourage pupils to count the number of squares carefully from the original position, possibly using a ruler or finger to help guide their counting. Practice with simpler shapes before moving to more complex polygons.

      Teacher tip

      Reinforce the difference between horizontal (left/right) and vertical (up/down) movements through visual aids, such as labeled arrows on the grid, and by practicing each type of movement separately before combining them.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Sofia gives directions to translate polygon A to B. She says, ‘translate A 2 squares down’. Is she correct?

      An image in a quiz
      Yes
      Correct answer: No

      Q2.
      Jacob gives directions to translate polygon A to B. He says, ‘translate A 3 squares right.’ Is he correct?

      An image in a quiz
      Correct answer: Yes
      No

      Q3.
      Jacob gives directions to translate polygon A to B. He says, ‘3 places right, 3 down.’ Is he correct?

      An image in a quiz
      Correct answer: Yes
      No

      Q4.
      Complete the sentence to describe the translation from A to B. 1 square down and squares right.

      An image in a quiz
      Correct Answer: 3, three

      Q5.
      Which of these correctly describes the translation from A to B?

      An image in a quiz
      Correct answer: 1 square left. 4 squares up.
      1 square right. 4 squares up.
      1 square left. 3 squares up.

      Q6.
      Sofia translated the polygon from A to B. What directions will translate the polygon back to its original position?

      An image in a quiz
      4 squares down. 2 squares left.
      4 squares up. 3 squares left.
      Correct answer: 4 squares down. 3 squares left.

      6 Questions

      Q1.
      Select the correct word to make the sentence complete. _____________ is a transformation in which every point of a shape moves the same distance in the same direction.

      Movement
      Correct answer: Translation
      Transformation

      Q2.
      What translation is needed to move the polygon from A to B?

      An image in a quiz
      Correct answer: 5 squares right and 3 squares up.
      5 squares right and 4 squares up.
      6 squares right and 3 squares up.

      Q3.
      Lucas wants to translate the polygon from B to A. Which translation is incorrect?

      An image in a quiz
      2 squares right and 4 squares up.
      Correct answer: 4 squares up and 2 squares right.
      5 squares up and 3 squares right.

      Q4.
      What can you mark on a shape to help you translate it accurately?

      Lines
      Correct answer: Vertex or vertices
      Crosses
      The exact middle

      Q5.
      Look at Sofia’s directions. Which image shows the correct translation? 3 squares right and 1 square up. What’s the new position?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q6.
      Match the direction which describe the translations to the shapes.

      An image in a quiz
      Correct Answer:Shape A,3 squares right, 4 squares down
      Correct Answer:Shape B,9 squares right, 1 square up
      Correct Answer:Shape C,4 squares right, 2 squares up

      To help you plan your 4 maths lesson on: Describe translations of polygons drawn on a square grid, download all teaching resources for free and adapt to suit your pupils' needs...