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Home > Subjects > Mathematics > Level 2 - CAS Mathematics > 2.4 Mathematical processes (AS90809) > Key tips

  • Subject: Mathematics
  • AS: 90809
  • Level: 2
  • Credits: 5
  • Internal

CAS Mathematics 2.4 Demonstrate an understanding of straightforward mathematical processes

Key tips

  • Revise basic algebra skills used in CAS Algebra 1.1 and CAS Graphs 1.2.
  • Understanding of mathematical processes will be assessed within the contexts of algebra, graphing, and calculus, without the use of electronic technology.
  • Attempt all questions, since evidence from higher level questions can be used towards gaining Achievement.
  • Set solutions out logically, using correct mathematical statements.
  • Be careful to copy terms correctly from step to step.
  • Show all working as credit may be given for a minor slip or a term that has been incorrectly transferred, if the assessor can see what you have done.
  • Do not round until the end of the problem.
  • Check that you answer the question that is asked and relate your answer to the context of the problem.
  • You should know how to model a situation using an equation, so practise selecting variables and writing equations to solve word problems.
  • When solving a quadratic equation to answer a question in context, check that you have selected or used the correct solution. Both answers may not be relevant in the context given.
  • Practise using the specific mathematical language to identify each of the features of a graph.
  • The key features of graphs may be x and y intercept(s), turning points, axis of symmetry, horizontal and vertical asymptotes, or centre and radius of circle.
  • For Achievement with Merit, interpreting features of a graph requires you to relate features, such as intercepts and turning points, to the real-life situations that the graph represents.
  • Practise using dy/dx, Æ’'(x) and ∫dx notations.
  • Practise differentiation and integration of terms.
  • A geometric proof will involve a multi-step manipulation of a given algebraic statement to generate another given expression.
  • For Achievement with Merit and Achievement with Excellence, you may be required to use correct mathematical statements and should present your work in a logical manner.

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