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      Solve problems involving identifying equal parts and the whole

      Lesson details

      Learning outcome

      I can solve problems involving identifying equal parts and the whole.

      Key learning points

      1. The whole has been divided into __ equal parts.
      2. Each equal part is one-__ of the whole.
      3. You can represent fractions with an image, symbol and name.

      Keywords

      • Whole - The whole is all the parts or everything, the total amount.

      • Part - A part is some of the whole.

      • Equal/unequal - We say that two or more things are equal if they have the same quantity or value. We say that two or more things are unequal if they do not have the same quantity or value.

      • Fraction - A fraction describes the relationship between a part and a whole.

      Common misconception

      Children may not be used to a sorting diagram.

      Show them some more simplified versions that they can understand easily (like the fruit and veg in the slides) before moving onto using their understanding of unit-fractions.

      Teacher tip

      Whilst there are several suggested sorting diagrams in the slides, you may wish to encourage the children to start creating their own for one another to engage them and give them ownership of the learning.

      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
      Correct answer: Denominator
      Numerator

      Q2.
      What is the name of the line in this fraction notation?

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

      Q3.
      Complete the sentence: The whole has been divided into 8 equal parts and 1 is shaded. This is one-

      An image in a quiz
      Correct Answer: eighth, 8th

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

      $$ \frac{1}{3} $$
      Correct answer: $$ \frac{1}{4} $$
      $$ \frac{4}{4} $$
      $$ \frac{1}{5} $$

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

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

      Q6.
      Match the fraction name to the fraction notation.

      Correct Answer:$$ \frac{1}{4} $$,one-quarter

      one-quarter

      Correct Answer:$$ \frac{1}{6} $$,one-sixth

      one-sixth

      Correct Answer:$$ \frac{1}{7} $$,one-seventh

      one-seventh

      Correct Answer:$$ \frac{1}{10} $$,one-tenth

      one-tenth

      6 Questions

      Q1.
      Which of these representations would go in this part of the sorting diagram?

      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
      An image in a quiz

      Q2.
      Which of these representations would go in this part of the sorting diagram?

      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 of these representations would go in this part of the sorting diagram?

      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

      Q4.
      Tick the correct fraction notation for these sections of the sorting diagram.

      An image in a quiz
      Correct answer: $$ \frac{1}{3} $$
      $$ \frac{1}{2} $$
      Correct answer: $$ \frac{1}{4} $$
      $$ \frac{1}{5} $$

      Q5.
      Which is the odd one out because it shows unequal parts?

      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

      Q6.
      Which is the odd one out because it does not show one quarter?

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

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