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Comparing fractions using equivalence and decimals

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Why this why now

In this unit, pupils use contexts and representations to explore equivalence between fractions. They position equivalent fractions in the same position on a number line and explain equivalence using the relationship between the numerators and denominators within and across equivalent fractions. Using tenths and hundredths, pupils also look at decimal equivalence and use this knowledge to compare and order fractions and decimals. This unit prepares pupils to add and subtract fractions in future units.

Prior knowledge requirements

  • Identify equal parts of a whole
  • Name common fractions (1/2, 1/3, 1/4)
  • Use visual models for fractions

Threads

Why this why now

In this unit, pupils use contexts and representations to explore equivalence between fractions. They position equivalent fractions in the same position on a number line and explain equivalence using the relationship between the numerators and denominators within and across equivalent fractions. Using tenths and hundredths, pupils also look at decimal equivalence and use this knowledge to compare and order fractions and decimals. This unit prepares pupils to add and subtract fractions in future units.

Prior knowledge requirements

  • Identify equal parts of a whole
  • Name common fractions (1/2, 1/3, 1/4)
  • Use visual models for fractions

Comparing fractions using equivalence and decimals

In this unit pupils will use representations to describe and compare two fractions. They will explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

15 lessons in unit