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Year 4 - Maths

Estimate the position of a number on a number line using fraction sense

Compare and order mixed numbers and position on a number line

Unit Summary

In this unit pupils will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same.

Lesson Summary

You will learn to estimate the position of a number on a number line using fraction sense.

Key Notes

  • To estimate the position of mixed numbers on a number line, first identify which integers it sits between.
  • Then use the fractional part and fraction-sense to decide where, within the known interval, the mixed number sits.

Vocabulary To Learn

  • 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.
  • Estimate: When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.

Common Mistakes To Avoid

  • Children may struggle to estimate the position of a mixed number on a number line if their 'fraction sense' is not secure.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

To estimate the position of mixed numbers on a number line, first identify which integers it sits between. Then use the fractional part and fraction-sense to decide where, within the known interval, the mixed number sits.

2. Use this key word in a maths sentence and explain it clearly. '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. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Children may struggle to estimate the position of a mixed number on a number line if their 'fraction sense' is not secure. Correction: What do you notice about the mixed number? Remember, the whole number part is the most significant part - looking at this whole number part, which integers must the mixed number sit between? What do you notice about the fractional part?

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.