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      Introduction to enlargements

      Lesson details

      Learning outcome

      I can understand the nature of enlargements and appreciate what changes and what is invariant

      Key learning points

      1. An enlargement means a change in size.
      2. The lengths of the lines may change when enlarged.
      3. The angles inside an object do not change when enlarged.
      4. When an object is enlarged, the image is similar.

      Keywords

      • Enlargement - Enlargement is a transformation that causes a change of size.

      • Similar - Two shapes are similar if the only difference between them is their size. Their side lengths are in the same proportions.

      Common misconception

      Enlargement only refers to an increase in size.

      The transformation 'enlargement' refers to a change of size that can be either a stretch or a shrink.

      Teacher tip

      Pupils will need square paper and scissors to complete question 2 of Task B.

      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.
      The object is what we call a shape after it has been transformed.

      True
      Correct answer: False

      Q2.
      Which property is not invariant when a shape is translated?

      side lengths
      angles
      Correct answer: position
      orientation

      Q3.
      Which properties are not invariant when a shape is rotated?

      side lengths
      angles
      Correct answer: position
      Correct answer: orientation

      Q4.
      Which properties are not invariant when a shape is reflected?

      side lengths
      angles
      Correct answer: position
      Correct answer: orientation

      Q5.
      Match each number on the left with its multiple on the right. There is only one possible solution.

      Correct Answer:2,6

      6

      Correct Answer:3,9

      9

      Correct Answer:4,16

      16

      Correct Answer:5,30

      30

      Q6.
      Which of these is the correct location of the reflected image of vertex A?

      An image in a quiz
      a
      b
      c
      Correct answer: d

      6 Questions

      Q1.
      __________ is a transformation that causes a change of size.

      Correct Answer: Enlargement, enlargement

      Q2.
      Two shapes are if the only difference between them is their size.

      Correct Answer: similar

      Q3.
      Enlarging a shape means the shape will always get bigger.

      True
      Correct answer: False

      Q4.
      Which property is invariant when a shape is enlarged?

      side lengths
      Correct answer: angles
      position

      Q5.
      Sofia is going to halve the size of a rectangle. What will happen to the angles?

      They will all double in size.
      Correct answer: They will all stay the same size.
      They will all halve in size.

      Q6.
      Aisha's rectangle has a length of 6 cm and a width of 1.3 cm. A similar rectangle has a length of 18 cm. What will its width be?

      1.3 cm
      2.6 cm
      Correct answer: 3.9 cm
      5.2 cm

      To help you plan your 7 maths lesson on: Introduction to enlargements, download all teaching resources for free and adapt to suit your pupils' needs...