Units 1 & 2 Mathematical Methods

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Units 1 & 2 Mathematical Methods

Mathematical Methods Units 1 & 2 are designed as preparation for VCE Mathematical Methods Units 3 & 4. The areas of study include Functions, relations and graphs, Algebra, number and structure, Calculus and Data analysis, probability and statistics. Students should be familiar with relevant mental and by hand approaches in simple cases. The appropriate use of computer algebra system (CAS) technology to support and develop the teaching and learning of mathematics, and in related assessments, is to be incorporated throughout the unit.

UNIT 1 

Students study simple algebraic functions and key features of their functions and graphs, algebra of polynomial functions of low degree and transformations of the plane. They also study calculus, comprising rates of changes (constant, average and instantaneous). Data analysis, probability and statistics covers the concepts of experiment, Venn diagrams, counting principles and techniques. 

Learning Activities:

Computations, diagram construction (including graphs), use of TI-Nspire CAS calculator, application of laws, text questions, extended simulation activities, quizzes, analysis tasks, group problem solving and other relevant activities.

Key Skills Achieved:

  • linear and quadratic algebraic manipulation
  • problem solving skills
  • the ability to organise and logically process information
  • proficiency in the use of a TI-Nspire CAS calculator.

Assessment:

Topic tests, revision assignments, analysis tasks, mathematical investigation and end of unit examination.

 

UNIT 2 

Students study simple transcendental functions, the calculus of polynomial functions and related modelling applications.

Learning Activities:

Computations, diagram construction, use of TI-Nspire CAS calculator, application of laws, text questions, extended simulation activities, quizzes, analysis tasks, group problem solving and other relevant activities.

Key Skills Achieved:

  • linear and quadratic algebraic manipulation
  • problem solving skills
  • the ability to organise and logically process information
  • proficiency in the use of a TI-Nspire CAS calculator.

Assessment:

Topic tests, revision assignments, analysis tasks, mathematical investigation and end of unit examination.

 

ASSESSMENT - FOR EACH UNIT THE OVERALL SCORE WILL CONSIST OF:

  • Coursework 60%
  • Semester examination 40%

Recommendation: It is recommended the student has an overall average score of 60% or above in Year 10 Mathematical Methods.