Framework for teaching mathematics

Year 5 

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 left of 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 3, Autumn Unit 11, Spring Unit 2, Spring Unit 9, Summer Unit 3

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

• Explain methods and reasoning, orally and in writing. (p.77)
• Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict.
  Autumn Unit 8, Autumn Unit 12
  Suggest extensions asking 'What if...?' (p.79)
  Spring Unit 11
• Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it.
  Explain a generalised relationship (formula) in words. (p.81)
  Spring Unit 5a, Spring Unit 11

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

• Use all four operations to solve simple word problems involving numbers and quantities based on 'real life', money and measures (including time), using one or more steps, including making simple conversions of pounds to foreign currency and finding simple percentages.
  Autumn Unit 3, Autumn Unit 10, Autumn Unit 11, Spring Unit 2, Spring Unit 3, Spring Unit 10, Summer Unit 2
  Explain methods and reasoning. (p.82-89)

NOTE
Key objectives are highlighted in bold type.
Autumn Unit 8, Autumn Unit 10, Summer Unit 8