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Mathematics 1.7 Apply right angled triangles in solving measurement problems

Achievement criteria

On this page: Achievement | Achievement with Merit | Achievement with Excellence

Achievement

• You need to apply right angled triangles in solving measurement problems.
• This could involve one or more of:
  • Selecting and using a range of methods in solving measurement problems (at least three different methods)
  • demonstrating knowledge of measurement and geometric concepts and terms
  • communicating solutions which would usually require only one or two steps.
• Problems are situations that provide opportunities to apply knowledge or understanding of mathematical concepts. The situation will be set in a real-life or mathematical context.
• Make sure that you can:
  • use trigonometric ratios
  • use Pythagoras’ Theorem in two and three dimensions.
  • recognise when shapes are similar and use proportional reasoning to find an unknown length.
  • select and use appropriate metric units for length and area
  • measure at a level of precision appropriate to the task
• Contexts could include:
  • Finding the height of a tree using its shadow or by measuring an angle of elevation
  • finding the width of a river
  • applications in building construction
  • designing and costing a project such as making a play-house.

Achievement with merit

• Make sure that you can meet the criteria for achievement
• You need to apply right angled triangles, using relational thinking, in solving measurement problems.
• This could involve one or more of:
  • selecting and carrying out a logical sequence of steps
  • connecting different concepts and representations
  • demonstrating understanding of concepts
  • forming and using a model
  • relating findings to a context
  • communicating thinking using appropriate mathematical statements.

Achievement with excellence

• Make sure that you can meet the criteria for merit
• You need to apply right angled triangles, using extended abstract thinking, in solving measurement problems.
• This could involve one or more of:
  • devising a strategy to investigate or solve a problem
  • using correct mathematical statements
  • communicating mathematical insight.
• Problems may involve non-right-angled triangles which can be divided into right-angled triangles.

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