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Mathematical challenges for able pupils in key stages 1 and 2

How can I adapt my termly planning? (KS2)

In Key Stage 2, the accelerated programme can continue, as well as including more challenging problems and extended pieces of work. Termly plans should still ensure that able pupils are taught a broad, balanced mathematics curriculum.

The table below illustrates part of a 'typical' Year 6 termly plan for mathematics with enhanced provision for able pupils. The extra objectives are drawn from the Year 7 draft Framework. The programme has been supplemented with enrichment activities that develop higher order thinking and problem solving skills. These 'challenges' are best linked to the main class topic.

The Alternative multiplication (Year 6) from this guidance illustrates how the main Year 6 teaching programme on multiplication can be supplemented for able pupils. While most pupils are consolidating their skills in using a written method for multiplication, able pupils might investigate other written methods for long multiplication.

Medium-term plan: Year 6
Part of autumn term with extension and enrichment work

Unit 1 (3 days) Place value, ordering and rounding

  Objectives: children will be taught to...
 
 
  • Multiply and divide decimals by 10 or 100, and integers by 1000, and explain the effect.
    Extension: Objectives from Y7
    • Understand and use decimal notation and place value.
  Using a calculator
 
  Objectives: children will be taught to...
 
 
  • Develop calculator skills and use a calculator effectively.
    Enrichment suggestion
    • Millennium (no.81)
 

 

Unit 2-3 (10 days) Understanding multiplication and division

  Objectives: children will be taught to...
 
 
  • Understand and use the relationships between the four operations, and the principles of the arithmetic laws.
    Extension: Objective from Y7
    • Express simple functions at first in words and then in symbols, and use simple function machines.
    Enrichment suggestion
    • Maze (no.62)
  Mental calculation strategies (x and ÷)
 
  Objectives: children will be taught to...
 
 
  • Use related facts and doubling or halving: e.g. halve an (even) number, double the other; multiply by 25, e.g. by x100, then ÷4.
    Enrichment suggestion
    • Shape puzzle (no.72)
 
 
  • Extend mental methods (to decimals).
    Enrichment suggestion
    • Make five numbers (no.61)
  Pencil and paper procedures (x and ÷)
 
  Objectives: children will be taught to...
 
 
  • Approximate first. Use informal pencil and paper methods to support, record or explain x and ÷.
    Enrichment suggestion
    • Alternative multiplication (see p.14)
 
 
  • Extend written methods to ThHTU x U and short multiplication involving decimals.
    Extension: Objective from Y7
    • Extend to decimals with 2 d.p.
  Money and 'real life' problems
 
  Objectives: children will be taught to...
 
 
  • Use all four operations to solve money or 'real life' problems.
    Enrichment suggestion
    • Spendthrift (no.79)
 
 
  • Choose appropriate operations/calculation methods. Explain working.
    Enrichment suggestion
    • Franco's fast food (no.67)
  Making decisions, checking results
 
  Objectives: children will be taught to...
 
 
  • Check by estimating. Use inverse operation, including with a calculator.
    Enrichment suggestion
    • Flash Harry (no.64)