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      Checking and securing understanding of fractions

      Lesson details

      Learning outcome

      I can represent fractions as numbers.

      Key learning points

      1. Proper fractions represented in diagrams can be written as numbers.
      2. Improper fractions represented in diagrams can be written as numbers.
      3. Some fractions represented in diagrams cannot be written as numbers.

      Keywords

      • Numerator - The expression in a fraction that is written above the fraction line. It is the dividend.

      • Denominator - The expression in a fraction that is written below the fraction line. It is the divisor.

      Common misconception

      When dividing a number line, there is confusion between the intervals and lines.

      Pupils can write the number on each mark on the number line to ensure equal intervals.

      Teacher tip

      A class activity to ensure a number line is correctly divided is to class chant, going up in the required equal intervals to ensure the number line is correctly drawn.

      Licence

      This content is © Oak National Academy Limited (2026), 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.
      Complete the statement: __________ shows how many equal parts are in a whole.

      A decimal
      Correct answer: A fraction
      An integer
      A number

      Q2.
      Select all the diagrams which show $$ 1 \over 2$$ shaded.

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

      Q3.
      Match each fraction to its name.

      Correct Answer:One half,$$1 \over 2$$
      Correct Answer:One quarter,$$ 1 \over 4$$
      Correct Answer:One third,$$ 1 \over 3$$
      Correct Answer:One tenth,$$ 1 \over 10$$

      Q4.
      What fraction of the whole rectangle is shaded?

      An image in a quiz
      $$1 \over2$$
      $$1 \over7$$
      $$1 \over10$$
      Correct answer: $$7\over10$$
      $$10 \over7$$

      Q5.
      Sam cuts a pizza into 5 equal slices. They eat 3 slices of the pizza. What fraction of the pizza has Sam eaten?

      $$1\over3$$
      $$1\over5$$
      Correct answer: $$3\over5$$
      $$5\over3$$

      Q6.
      Laura says, "$$1 \over 3 $$ is less than $$1 \over 4 $$." Is Laura correct? Give a reason for your answer.

      No: you only have 1 part so they are both the same
      Correct answer: No: 1 slice of a cake in 3 equal parts is larger than 1 slice from 4 equal parts
      Yes: when you count fractions you say one half, one third, one quarter
      Yes: 3 is less than 4

      6 Questions

      Q1.
      What fraction of the whole rectangle is shaded?

      An image in a quiz
      $$1 \over2$$
      $$1 \over9$$
      $$1 \over10$$
      Correct answer: $$9\over10$$
      $$10\over9$$

      Q2.
      Complete the sentence. In the fraction $$3 \over4$$, 3 is called the .

      Correct Answer: numerator, Numerator

      Q3.
      In these cuisenaire rods, the yellow rod (y) represents 1. What fraction does the white rod (w) represent?

      An image in a quiz
      $$1 \over 2$$
      $$1 \over 3$$
      $$1 \over 4$$
      Correct answer: $$1 \over 5$$

      Q4.
      What fraction of this diagram is shaded?

      An image in a quiz
      $$4\over 5$$
      Correct answer: $$1\over 2$$
      $$1\over 4$$
      Correct answer: $$4\over 8$$
      $$3\over 4$$

      Q5.
      What fraction is the arrow pointing to?

      An image in a quiz
      Correct answer: $$1\over 4$$
      $$2\over 6$$
      Correct answer: $$2\over 8$$
      $$3\over 4$$
      $$1\over 3$$

      Q6.
      Match each label to the correct fraction.

      An image in a quiz
      Correct Answer:Label a points to,$$2\over 5$$
      Correct Answer:Label b points to,$$1$$
      Correct Answer:Label c points to,$$8\over 5$$
      Correct Answer:Label d points to,$$1 \frac{4}{5}$$

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