Units 1 & 2 Specialist Mathematics

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Units 1 & 2 Specialist Mathematics

Specialist Mathematics Units 1 & 2 are designed as preparation for VCE Specialist Mathematics Units 3 & 4. 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 Algebra, number and structure comprising three topics: proof and number, graph theory and logic and algorithms.  The study of discrete mathematics comprises sequences and series, combinatorics and matrices. 

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:

  • Principles and proof techniques
  • Matrix notation and algebra, graph theory
  • Specific and general formulation of concepts
  • Use of computational thinking, algorithms, models and simulation
  • 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 Data Analysis, probability and statistics, Space and Measurement, Algebra, number and structure and Functions, relations and Graphs. Data Analysis, probability and statistics involves simulation, sampling and sampling distributions. Space and Measurement comprises trigonometry, transformations and vectors in a plane. Algebra, number and structure comprises complex numbers. Functions, relations and Graphs includes concepts of partial fractions, circular functions, locus definitions of a variety of functions. 

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:

  • Application of transformations to the plane
  • Use of vectors to model situations
  • Graph non-linear relations and interpret key features
  • Specific and general formulation of concepts
  • Use of computational thinking, algorithms, models and simulation
  • 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 80% or above in Year 10 Mathematical Methods.