Fractions

Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions.They describe rules used in sequences involving whole numbers, fractions and decimals. They calculate a simple fraction of a quantity.  They solve problems involving percentages and all four operations with fractions and decimals. They express one quantity as a fraction or percentage of another.

Australian national curriculum learning map

  • Make connections between fractions and decimal notation
  • Compare and order common unit fractions and locate and represent them on a number line Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
  • Compare fractions with related denominators and locate and represent them on a number line
  • Solve problems involving addition and subtraction of fractions with the same or related denominators
  • Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
  • Make connections between equivalent fractions, decimals and percentages
  • Compare fractions using equivalence.
  • Locate and represent positive and negative fractions and mixed numbers on a number line
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators
  • Express one quantity as a fraction of another, with and without the use of digital technologies
  • Connect fractions, decimals and percentages and carry out simple conversions
  • Apply index laws to numerical expressions with integer indices
  • Define rational and irrational numbers and perform operations with surds and fractional indices
  • Use the definition of a logarithm to establish and apply the laws of logarithms