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      Estimate the position of 3-digit numbers on unmarked number lines

      Lesson details

      Learning outcome

      I can estimate the position of 3-digit numbers on an unmarked number line.

      Key learning points

      1. Knowing where multiples of 100 are placed on an unmarked number line supports in positioning 3-digit numbers accurately.
      2. Marking halfway steps helps to estimate the positions of numbers.
      3. Counting in steps of 1, 10 and 100 helps us to position a number on a number line.

      Keywords

      • Estimate - Estimate means finding a value that is close to the answer.

      • Position - Position means where something is located.

      • Unmarked - Unmarked means that many of the steps on a number line are not given.

      Common misconception

      Pupils may struggle with positioning numbers on 0-1,000 lines.

      Relate the positioning of numbers on 0-100 number lines with 0-1,000 number lines (e.g. 19 and 190, 37 and 370).

      Teacher tip

      Encourage pupils to find the halfway points on unmarked number lines, using the start and end numbers. For example, on a 200-400 number line, mark the steps that show 300, then find 250 and 350.

      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 number is halfway between 0 and 100?

      20
      40
      Correct answer: 50
      70

      Q2.
      What number is halfway between 100 and 200?

      Correct Answer: 150, one hundred and fifty

      Q3.
      What number is represented by the arrow?

      An image in a quiz
      205
      Correct answer: 250
      270
      350

      Q4.
      What number is represented by the arrow?

      An image in a quiz
      Correct Answer: 750, seven hundred and fifty

      Q5.
      Sofia is thinking of a 10s number that could be represented on the number line. The digits of the number add up to 6. What is the number?

      An image in a quiz
      Correct Answer: 240, two hundred and forty

      Q6.
      What number is represented by the arrow?

      An image in a quiz
      Correct Answer: 785

      6 Questions

      Q1.
      The arrow shows the position of a number. Which number?

      An image in a quiz
      Correct Answer: 450, four hundred and fifty

      Q2.
      The arrow shows the position of a number. Which number?

      An image in a quiz
      50
      150
      Correct answer: 250
      450

      Q3.
      Which of these is the best estimate for the number shown by the arrow on this number line?

      An image in a quiz
      90
      110
      130
      Correct answer: 170

      Q4.
      Which of these is the best estimate for the number shown by the arrow on this number line?

      An image in a quiz
      100
      Correct answer: 300
      500
      700

      Q5.
      Which of these is the best estimate for the number shown by the arrow on this number line?

      An image in a quiz
      350
      Correct answer: 550
      750
      850

      Q6.
      Which arrow represents the position of 125?

      An image in a quiz
      Correct answer: a
      b
      c
      d

      To help you plan your 3 maths lesson on: Estimate the position of 3-digit numbers on unmarked number lines, download all teaching resources for free and adapt to suit your pupils' needs...