Framework for teaching mathematics

Year 6 

Solving problems

Yearly teaching programmes, shown below, are taken from the relevant section of the Framework for teaching mathematics: Reception to Year 6. The numbers, in brackets, are page references to the relevant supplement of examples in the Framework which you can download by clicking on an icon in the 'Downloads' box on the leftof this page.

Links to Unit Plans which cover specific teaching objectives are indicated by the pointer

Making decisions (p.74-75)

• Choose and use appropriate number operations to solve problems, and appropriate ways of calculating: mental, mental with jottings, written methods, calculator.
  (For examples of problems see pages 34-37, 79, 82-89, 101.) (p.75)
  Autumn Unit 10, Spring Unit 4, Summer Unit 9

Reasoning and generalising about numbers or shapes (p.76-81)

• Explain methods and reasoning, orally and in writing. (p.77)
  Spring Unit 11, Summer Unit 2
• Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict. Suggest extensions asking 'What if...?' (p.79)
  Autumn Unit 8, Autumn Unit 12, Spring Unit 11, Summer Unit 11
• Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it.
  Develop from explaining a generalised relationship in words to expressing it in a formula using letters as symbols (e.g. the cost of n articles at 15p each). (p.81)
  Autumn Unit 12, Spring Unit 11, Summer Unit 5

Problems involving 'real life', money or measures (p.82-89)

• Identify and use appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities based on 'real life', money or measures (including time), using one or more steps, including converting pounds to foreign currency, or vice versa, and calculating percentages such as VAT.
  Autumn Unit 1, Autumn Unit 2, Autumn Unit 3, Autumn Unit 10, Autumn Unit 11, Spring Unit 7, Spring Unit 9, Summer Unit 4, Summer Unit 5, Summer Unit 7, Summer Unit 9
  Explain methods and reasoning. (p.82-89)
  Autumn Unit 12, Spring Unit 4, Spring Unit 7, Summer Unit 4, Summer Unit 5, Summer Unit 7

NOTE
Key objectives are highlighted in bold type.