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CAS Mathematics 2.3 Demonstrate an understanding of processes involving trigonometry and coordinates

Achievement criteria

The level of achievement that you reach is decided by the questions that you answer correctly.

Achievement

• You need to demonstrate an understanding of processes involving trigonometry and coordinates.
• Processes will be selected from:
  • finding the equation of parallel and perpendicular lines
  • the use of
    • area of triangle formulae
    • sine and/or cosine rules.
• Understanding of processes may be assessed in a context involving 2-dimensional situations.

Achievement with Merit

• You need to reach Achievement.
• You need to demonstrate an understanding of processes involving trigonometry and coordinate problems using a combination of techniques.
• Problems could include a combination of techniques involving:
  • finding equations of
    • medians
    • perpendicular bisectors
    • altitudes
  • finding
    • lengths
    • angles
    • areas of triangles
    • areas of sectors, see radian measure
    • arc length, see radian measure
  • proofs that
    • a triangle is isosceles or right-angled isosceles
    • points are collinear (see concurrent lines)
  and may involve the use of
  • bearings
  • relative velocity
  • radian measure.

Achievement with Excellence

• You need to reach Achievement with Merit.
• You need to demonstrate an understanding of processes involving trigonometry and coordinates using a combination of techniques, and using a chain of reasoning.
• The complexity of the problems will require a chain of reasoning.
• Problems could involve:
  • 3-dimensional situations or 2-dimensional representation of 3-dimensional situations, see 3D trigonometry
  • a combination of techniques selected from sine and cosine rules, areas of triangles, sectors, or segments.
• A chain of reasoning implies multi-step problems or the development of a proof.

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