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      Identify parts and wholes in the contexts of lines and 3D objects

      Lesson details

      Learning outcome

      I can identify parts and whole in the contexts of lines and 3D objects.

      Key learning points

      1. The whole has been divided into __ equal parts.
      2. Each equal part is one-__ of the whole.
      3. Fractions can be represented in different ways including names and notation.

      Keywords

      • Whole - The whole is all of a group or number.

      • Part - A part is a section of the whole.

      • Equal - Have the same quantity or value.

      • Unequal - Do not have the same quantity or value.

      Common misconception

      Pupils struggle to visualise when considering 3D parts and wholes and cannot identify a given fractional part of a 3D whole, particularly when presented on a screen as a picture.

      Provide opportunities for pupils to experience fractional parts of 3D shapes in real life situations e.g. base 10 blocks or using cuboids such as small cereal variety boxes or photocopying paper boxes. Physical manipulation can support visualisation.

      Teacher tip

      Give children the chance to practise creating lines by starting with a part - this can get playful! Then they can highlight 1 part and describe the fraction using words, names and notation.

      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.
      What is the name of the indicated part of the fraction?

      An image in a quiz
      Division bar
      Denominator
      Correct answer: Numerator

      Q2.
      What is the name of this fraction?

      An image in a quiz
      one-quarter
      Correct answer: one fifth
      one-fiveth

      Q3.
      Complete the sentence: The whole has been divided into 6 equal parts and 1 is shaded. This is one-

      An image in a quiz
      Correct Answer: sixth

      Q4.
      Tick the correct fraction notation that shows one-third.

      Correct answer: $$ \frac{1}{3} $$
      $$ \frac{1}{4} $$
      $$ \frac{3}{3} $$
      $$ \frac{3}{1} $$

      Q5.
      Tick the correct fraction notation that shows one-seventh.

      $$ \frac{1}{8} $$
      Correct answer: $$ \frac{1}{7} $$
      $$ \frac{7}{8} $$
      $$ \frac{7}{1} $$

      Q6.
      Match the fraction name to the fraction notation.

      Correct Answer:$$ \frac{1}{12} $$,one-twelfth

      one-twelfth

      Correct Answer:$$ \frac{1}{5} $$,one-fifth

      one-fifth

      Correct Answer:$$ \frac{1}{9} $$,one-ninth

      one-ninth

      Correct Answer:$$ \frac{1}{2} $$,one-half

      one-half

      6 Questions

      Q1.
      Look at the picture. What is the whole?

      An image in a quiz
      Correct answer: A line
      A shape
      A quantity

      Q2.
      A strip of paper has been folded into equal parts. What fraction is each equal part?

      An image in a quiz
      $$ \frac{1}{7} $$ one-seventh
      $$ \frac{1}{5} $$ one-fifth
      $$ \frac{1}{4} $$ one-quarter
      Correct answer: $$ \frac{1}{6} $$ one-sixth

      Q3.
      What fraction describes the highlighted part of the line?

      An image in a quiz
      Correct answer: $$ \frac{1}{4} $$ one-quarter
      $$ \frac{1}{5} $$ one-fifth
      $$ \frac{1}{6} $$ one-sixth
      $$ \frac{1}{2} $$ one-half

      Q4.
      What fraction describes the highlighted part of the line?

      An image in a quiz
      $$ \frac{1}{4} $$ one-quarter
      $$ \frac{1}{5} $$ one-fifth
      $$ \frac{1}{6} $$ one-sixth
      Correct answer: $$ \frac{1}{3} $$ one-third

      Q5.
      What fraction describes the purple cube part?

      An image in a quiz
      $$ \frac{1}{4} $$ one-quarter
      $$ \frac{1}{5} $$ one-fifth
      Correct answer: $$ \frac{1}{9} $$ one-ninth
      $$ \frac{1}{7} $$ one-seventh

      Q6.
      What fraction of the larger cuboid is represented by the smaller shaded cuboid?

      An image in a quiz
      Correct answer: $$ \frac{1}{4} $$ one-quarter
      $$ \frac{1}{5} $$ one-fifth
      $$ \frac{1}{6} $$ one-sixth
      $$ \frac{1}{3} $$ one-third

      To help you plan your 3 maths lesson on: Identify parts and wholes in the contexts of lines and 3D objects, download all teaching resources for free and adapt to suit your pupils' needs...