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Home > Subjects > Mathematics > Level 2 > 2.2 Graphs (AS90285) > Achievement criteria

  • Subject: Mathematics
  • AS: AS90285
  • Level: 2
  • Credits: 3
  • External

Mathematics 2.2 Draw straightforward non-linear graphs

Achievement criteria

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

Achievement

  • Assessment of drawing graphs will be based on a selection from:
  • Equations will be given for the graphs to be drawn.
  • You need to show correct use of relevant features which could include intercepts, symmetry, maxima and minima (for quadratics), or asymptotes.

Achievement with Merit

  • You need to gain Achievement.
  • Assessment of drawing graphs and identifying features will be based on a selection from:
    • rectangular hyperbolae of the form y = formula + b
    • circles of the form (x – a)2 + (y – b)2 = r2
    • any factorised or exponential functions of the form y = ax-b + c and either b or c equal to zero
    • logarithmic functions in the form y = loga(x – b) +c, aformulaN and either b or c = 0
  • You use non-linear graphs to solve problems which will include:
    - writing equations selected from the following types of graphs:
    • any graphs listed for achievement
    • hyperbola as listed above for merit, where b or c = 0
    • circle as listed above for merit
    - interpreting features.

Achievement with Excellence

  • You need to gain Achievement with Merit.
  • You determine and apply an appropriate model for a situation involving graphs.
  • You write an equation (or equations for a piecewise function) to describe a situation.
  • The application of a model could include:
    • a situation requiring finding points of intersection
    • using equations of graphs to solve problems.
  • Polynomials may have coefficients of xn other than ±1, and for exponential and logarithmic functions both b and c may have non-zero values.

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