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      Investigate how polygons can be joined and folded to form 3D shapes

      Lesson details

      Learning outcome

      I can investigate how polygons can be joined and folded to form 3D shapes.

      Key learning points

      1. 3D shapes can have flat faces. Each face is a 2D shape.
      2. 2D shapes can be folded and joined together to build 3D shapes.

      Keywords

      • 3D / three-dimensional - A shape with three measurable dimensions, e.g. width, height and depth.

      • 2D / two-dimensional - A shape with only two measurable dimensions, e.g. width and length, but no thickness.

      • Face - The flat 2D surfaces of a 3D shape.

      Common misconception

      Children may apply the names of 2D shapes to 3D shapes (such as square and cube).

      Have examples of the confused 2D and 3D shapes (such as square and cube) for the children to handle and explore. Discuss what is the same and what is different about them.

      Teacher tip

      Children would benefit from opportunities to explore how to join and fold 2D shapes to form different 3D shapes. This could be using construction materials as well as taking apart and building together different-shaped cardboard boxes and other packaging.

      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.
      Tick all the polygons.

      An image in a quiz
      A
      Correct answer: B
      C
      Correct answer: D

      Q2.
      Match the image of the polygon to its name.

      An image in a quiz
      Correct Answer:A,triangle

      triangle

      Correct Answer:B,octagon

      octagon

      Correct Answer:C,quadrilateral

      quadrilateral

      Correct Answer:D,rectangle

      rectangle

      Q3.
      Order the shapes from largest to smallest.

      An image in a quiz
      1 - C
      2 - A
      3 - B

      Q4.
      True or false. The vertices of this polygon are all the same.

      An image in a quiz
      True
      Correct answer: False

      Q5.
      Compare these shapes. Which statements are true?

      An image in a quiz
      They are both quadrilaterals.
      Correct answer: They are both polygons.
      Correct answer: Shape B is taller than shape A.
      They both have a wide vertex at top.

      Q6.
      How would you describe the vertex that the arrow is pointing to?

      An image in a quiz
      The vertex looks wide.
      Correct answer: The vertex looks sharp and pointy.
      The vertex looks like a square corner.

      6 Questions

      Q1.
      Which 3D shape could Jun have used to create this painting?

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

      Q2.
      Which 3D shape could Jun have used to create this painting?

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

      Q3.
      Which painting shows all the faces of this 3D shape?

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

      Q4.
      Which painting shows all the faces of this 3D shape?

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

      Q5.
      Which 3D shapes could Jun build with his construction materials?

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

      Q6.
      Match the 2D shape to the 3D shape that will be made once folded.

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

      To help you plan your 2 maths lesson on: Investigate how polygons can be joined and folded to form 3D shapes, download all teaching resources for free and adapt to suit your pupils' needs...