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      Identify numbers on marked but unlabelled number lines

      Lesson details

      Learning outcome

      I can identify numbers on marked but unlabelled number lines.

      Key learning points

      1. Within a mixed number, the whole number is the most significant part.
      2. The whole number part of a mixed number can be used to decide which integers it will be placed between on a number line.
      3. The fractional part of the mixed number can be used to establish exactly where it will be placed between these numbers.

      Keywords

      • Mixed number - A mixed number is a whole number and a fraction combined.

      • Integer - An integer is a number that has no fractional part - they are whole numbers. This includes the counting numbers e.g, 1, 2, 3 and zero.

      Common misconception

      Children may count the marks rather than the equal parts between integers thereby determining the unit that we are working with incorrectly.

      Show that we need to count the equal parts in between the given integers, not the marks. You could model this with the same line with increasing parts.

      Teacher tip

      Children need to understand, that with mixed numbers, the whole number part is the most significant part and tells us which two integers it sits between on a number line. Determining the unit we are working with is key to being successful so provide children with lots of practice at that.

      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.
      Look at this number $$3 {{2} \over {4}}$$ We say it as three and two .

      Correct Answer: quarters, fourths

      Q2.
      Look at the part-part-whole model. What is the missing part?

      An image in a quiz
      1
      4
      $$ {1} \over {4}$$
      $$ {4} \over {1}$$
      Correct answer: 9

      Q3.
      Look at the part-part-whole model. $$4 {{3} \over {5}}$$ is composed of four wholes and three-

      An image in a quiz
      Correct Answer: fifths

      Q4.
      Look at this number line. The missing number is

      An image in a quiz
      Correct Answer: 800

      Q5.
      Look at this number line. What is the missing number?

      An image in a quiz
      3
      5
      Correct answer: $$ {3} \over {5}$$
      $$ {3} \over {4}$$

      Q6.
      Look at this number line. The interval between two consecutive whole numbers is divided into how many equal parts?

      An image in a quiz
      Correct Answer: 5, five

      6 Questions

      Q1.
      Look at the number line. Which number is greater than one but close to one?

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

      Q2.
      Look at the number line and complete this sentence: Each interval between the integers on the line is divided into four equal parts. This allows us to count in __________.

      An image in a quiz
      halves
      thirds
      Correct answer: quarters
      fifths

      Q3.
      Look at the numberline. Where would $$1{{5} \over {6}}$$ be positioned?

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

      Q4.
      Look at this number line. Match the letter to the number that it is representing.

      An image in a quiz
      Correct Answer:A,$$ {3} \over {8}$$

      $$ {3} \over {8}$$

      Correct Answer:B,$$1{{2} \over {8}}$$

      $$1{{2} \over {8}}$$

      Correct Answer:C,$$1{{7} \over {8}}$$

      $$1{{7} \over {8}}$$

      Correct Answer:D,$$2{{6} \over {8}}$$

      $$2{{6} \over {8}}$$

      Q5.
      What volume of water is in the jug?

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

      Q6.
      What volume of water is in the jug?

      An image in a quiz
      $$1{{4} \over {10}}$$ litres
      $$1{{3} \over {5}}$$ litres
      $$1{{4} \over {4}}$$ litres
      Correct answer: $$1{{4} \over {5}}$$ litres

      To help you plan your 4 maths lesson on: Identify numbers on marked but unlabelled number lines, download all teaching resources for free and adapt to suit your pupils' needs...