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Solving problems with two unknowns

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Why this why now

This unit introduces pupils to situations where a problem has two unknown values. They explore situations where there is one solution, where there are many solutions and where there are infinite solutions. Pupils use bar models to represent problems set in a range of contexts and explain how to balance an equation with two unknowns. This unit prepares them for more formal work in algebra with expressions and equations in Year 7.

Prior knowledge requirements

  • Use symbols or shapes to represent missing numbers
  • Understand inverse operations
  • Solve one-step equations or balance scales

Threads

Why this why now

This unit introduces pupils to situations where a problem has two unknown values. They explore situations where there is one solution, where there are many solutions and where there are infinite solutions. Pupils use bar models to represent problems set in a range of contexts and explain how to balance an equation with two unknowns. This unit prepares them for more formal work in algebra with expressions and equations in Year 7.

Prior knowledge requirements

  • Use symbols or shapes to represent missing numbers
  • Understand inverse operations
  • Solve one-step equations or balance scales

Solving problems with two unknowns

In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.