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      Solve problems involving marking and translating points in the first quadrant on a coordinate grid

      Lesson details

      Learning outcome

      I can solve problems involving marking and translating points in the first quadrant on a coordinate grid.

      Key learning points

      1. Coordinates are recorded in brackets with the numbers separated by a comma.
      2. Count along the x-axis and then the y-axis to find the coordinates for the marked point.
      3. The shape made with the new points after translation should be exactly the same shape and size as the original shape.

      Keywords

      • Translate / translation - Sliding or moving a shape without rotating or flipping it means to translate.

      Common misconception

      Pupils might write the y-coordinate (vertical distance) first instead of the x-coordinate (horizontal distance).

      Reinforce the correct order by teaching "x comes before y" just like in the alphabet. Practice with examples and devices like "along the x-axis, then up the y-axis" to solidify this concept.

      Teacher tip

      Reiterate that the x-axis is horizontal and the y-axis is vertical. Use visual aids and have students physically point to or trace along the axes on a large grid to reinforce understanding.

      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.
      Which coordinate do we write first when describing a position on the coordinates plane?

      Correct answer: x-coordinate
      y-coordinate

      Q2.
      Which lines are parallel?

      Correct answer: A
      B
      C

      Q3.
      Question: What is the coordinate of the dot?

      An image in a quiz
      Correct answer: (0, 4)
      (4, 0)
      (2, 4)

      Q4.
      The polygon is translated 1 square down. Write the new coordinate of vertex A remembering brackets and a comma.

      An image in a quiz
      Correct Answer: (1,2)

      Q5.
      Translate the polygon 3 squares right. What are the new coordinates of the vertices?

      An image in a quiz
      (3, 2) (6, 2) ( 5, 1)
      Correct answer: (3, 4) (3, 2) (4, 2)
      (2, 1) (4, 1) (2, 3)

      Q6.
      The polygon is translated 1 square right and 2 squares down. Write the new coordinate of vertex A remembering brackets and a comma.

      An image in a quiz
      Correct Answer: (4,2)

      6 Questions

      Q1.
      Jacob wants to translate his shape 3 squares up. Which statement is correct?

      Add 3 to the x-coordinate.
      Correct answer: Add 3 to the y-coordinate.
      Subtract 3 from the y-coordinate.

      Q2.
      Sofia wants to translate her shape 4 squares left. Which statement is correct?

      Correct answer: Subtract 4 from the x-coordinate.
      Subtract 4 from the y-coordinate.
      Add 4 to the x-coordinate.

      Q3.
      Which coordinates will produce a rectangle?

      Correct answer: (1,4) (1,9) (8,4) (8,9)
      (3,4) (3,1) (6,2) (6,4)

      Q4.
      Sofia’s triangle has the coordinates (1, 2) (3, 2) and (2, 4). She wants to translate it 1 square down. What will the new coordinates be?

      An image in a quiz
      (1, 3) (3, 3) and (3, 4)
      Correct answer: (1, 1) (3, 1) and (2, 3)
      (0, 2), (2, 2) and (1, 4)

      Q5.
      Sofia translates the shape 1 place right and 2 places up. Match the original coordinates to the new coordinates.

      An image in a quiz
      Correct Answer:(1, 4),(2, 6)

      (2, 6)

      Correct Answer:(1, 2),(2, 4)

      (2, 4)

      Correct Answer:(3, 2),(4,4)

      (4,4)

      Q6.
      What is the missing coordinate for vertex B? Remember to write the coordinate using brackets and a comma.

      An image in a quiz
      Correct Answer: (5,3)

      To help you plan your 4 maths lesson on: Solve problems involving marking and translating points in the first quadrant on a coordinate grid, download all teaching resources for free and adapt to suit your pupils' needs...