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Framework for teaching mathematics

Year 6

  • Multiply and divide decimals mentally by 10 or 100, and integers by 1000, and explain the effect.
  • Order a mixed set of numbers with up to three decimal places.
  • Reduce a fraction to its simplest form by cancelling common factors.
  • Use a fraction as an operator to find fractions of numbers or quantities
    (e.g. 5/8 of 32, 7/10 of 40, 9/100 of 400 centimetres).

  • Understand percentage as the number of parts in every 100, and find simple percentages of small whole-number quantities.
  • Solve simple problems involving ratio and proportion.
  • Carry out column addition and subtraction of numbers involving decimals.
  • Derive quickly division facts corresponding to multiplication tables up to 10 × 10.
  • Carry out short multiplication and division of numbers involving decimals.
  • Carry out long multiplication of a three-digit by a two-digit integer.
  • Use a protractor to measure acute and obtuse angles to the nearest degree.
  • Calculate the perimeter and area of simple compound shapes that can be split into rectangles.
  • Read and plot co-ordinates in all four quadrants.
  • Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning.
  • Solve a problem by extracting and interpreting information presented in tables, graphs and charts.