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Comparing and ordering fractions and decimals (positive and negative)

Comparing and ordering fractions and decimals (positive and negative)

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Why this why now

This unit builds upon work done in the 'arithmetic procedures with integers and decimals' unit, supporting further development of fluency in working with decimals as well as fractions.

Prior knowledge requirements

  • Recognise and convert between fractions and decimals
  • Understand number lines with negative values
  • Compare values using place value and visual representations

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Why this why now

This unit builds upon work done in the 'arithmetic procedures with integers and decimals' unit, supporting further development of fluency in working with decimals as well as fractions.

Prior knowledge requirements

  • Recognise and convert between fractions and decimals
  • Understand number lines with negative values
  • Compare values using place value and visual representations

Comparing and ordering fractions and decimals (positive and negative)

This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.

18 lessons in unit

  1. 1

    Checking and securing understanding of fractions

    I can represent fractions as numbers.
  2. 2

    The identity property of multiplication and division

    I can use the fact that 1 can be written in the form n/n and vice versa.
  3. 3

    Checking and securing converting improper fractions to mixed numbers

    I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
  4. 4

    Checking and securing converting mixed numbers to improper fractions

    I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from mixed numbers to improper fractions.
  5. 5

    Converting fractions to terminating decimals

    I can divide the numerator of a fraction by its denominator and know that this results in an equivalent terminating decimal.
  6. 6

    Converting fractions to recurring decimals

    I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal.
  7. 7

    Converting terminating decimals to fractions

    I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n
  8. 8

    Simplifying fractions

    I can simplify fractions by dividing both the numerator and denominator by common factors and know why this works.
  9. 9

    Converting fractions with technology

    I can convert from fractions to decimals and back again using the converter key on a calculator.
  10. 10

    Limitations of technology in calculations

    I can enter fractions as divisions on a calculator (and other technology) and understand the limitations of the decimal representation that results.
  11. 11

    Ordering negative integers

    I can compare negative integers using < and >.
  12. 12

    Ordering decimals

    I can compare decimals using < and >.
  13. 13

    Ordering fractions by converting

    I can compare and order fractions by converting to decimals.
  14. 14

    Ordering fractions by way of a common denominator

    I can compare and order fractions by converting to fractions with a common denominator.
  15. 15

    Ordering fractions in different ways

    I can compare and order fractions using a range of techniques.
  16. 16

    Ordering positive and negative fractions and decimals

    I can order a variety of positive and negative fractions and decimals using appropriate methods of conversion and recognising when conversion to a common format is not required.
  17. 17

    Between numbers

    I can appreciate that, for any two numbers, there is always another number in between them.
  18. 18

    Problem solving with fractions and decimals

    I can use my knowledge of fractions and decimals to solve problems.

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak