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      Use knowledge of decimal place value to solve problems in different contexts

      Lesson details

      Learning outcome

      I can use knowledge of decimal place value to solve problems in different contexts.

      Key learning points

      1. Knowledge of decimal place value can help to read the scale of a graph.
      2. Knowledge of decimal place value can help to read a measuring scale.

      Keywords

      • Multiple - A multiple is the result of multiplying a number by an integer.

      • Common - Something is common when it is frequently used or it occurs regularly.

      • Partition - The act of breaking an object or value down into smaller parts.

      • Interval - The space between two values or points.

      Common misconception

      Pupils count the interval markers to find how many parts the whole has been divided into.

      Identify clearly which whole you are dividing and link the bar model to the numberline to show how the intervals reveal the number of parts.

      Teacher tip

      Encourage pupils to move away from counting up in multiples of each common partition, to counting on from multiples that make a whole. For example: to find 6 lots of 0.25, count on 2 lots of 0.25 from 1 as this is 4 lots of 0.25.

      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 missing number on the number line?

      An image in a quiz
      Correct Answer: 60

      Q2.
      What is the missing number on the number line?

      An image in a quiz
      Correct Answer: 225

      Q3.
      What is the missing number in the sequence? 0.8, 1, 1.2, 1.4, , 1.8

      Correct Answer: 1.6

      Q4.
      Spot the mistake in the sequence.

      An image in a quiz
      5.25 is a missing multiple from the sequence.
      Correct answer: The numbers do not increase consistently in the same multiple of 0.5.
      6.5 should come before 6 in the sequence.

      Q5.
      Tick all of the statements that are true of this graph.

      An image in a quiz
      Correct answer: It is a bar graph.
      It is a line graph.
      Correct answer: The x axis shows the number of families
      The y axis shows the number of families.

      Q6.
      Tick all of the statements that are true according to this graph.

      An image in a quiz
      Correct answer: 80 families have a dog
      60 families have fish
      Correct answer: There are 20 families more that have fish compared to rabbits.
      25 families have a hamster
      Correct answer: Dogs are the most popular pets.

      6 Questions

      Q1.
      What is the missing number on the number line?

      An image in a quiz
      Correct Answer: 0.25

      Q2.
      What is the missing number on the number line?

      An image in a quiz
      Correct Answer: 4.8

      Q3.
      Look at the graph. What are the intervals increasing in each time?

      An image in a quiz
      Correct answer: Multiples of 0.25
      Multiples of 0.5
      Multiples of 0.2
      Multiples of 0.1

      Q4.
      In litres, how much water is drunk on Tuesday?

      An image in a quiz
      Correct Answer: 1.75, 1.75 l, 1.75 litres

      Q5.
      In kg, what weight is the scale showing?

      An image in a quiz
      Correct Answer: 4.25, 4.25 kg, 4.25 kilograms

      Q6.
      Which scale is showing the greatest mass?

      An image in a quiz
      A
      Correct answer: B
      C

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