Units 3 & 4 Specialist Mathematics

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Units 3 & 4 Specialist Mathematics

Specialist Mathematics consists of the following areas of study: Discrete Mathematics, Functions, Relations and Graphs, Algebra, number and structure, Calculus, Space and Measurement and Data analysis, probability and statistics. The appropriate use of technology to support and develop the teaching and learning of mathematics is incorporated throughout the units. This will include the use of some of the following technologies for various areas of study or topics: graphics calculators, spreadsheets, graphing packages, dynamic geometry systems and computer algebra systems.

UNIT 3

In Unit 3 students study Rational Functions and their graphs, Complex Numbers, Vectors, Differential and Integral Calculus and applications and Differential Equations.

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:

  • Apply techniques, routines and processes for all areas of study, with and without the use of technology
  • Relevant mental and by-hand approaches to estimation and computation
  • Apply deductive reasoning and language
  • Use computational thinking, algorithms, models and simulations to solve problems related to a given context.

Assessment:

Analysis Tasks

UNIT 4

In Unit 4 students study Differential Equations, Kinematics, Vector Calculus, Data analysis, probability and statistics.

Learning Activities:

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

Key Skills Achieved:

  • Apply techniques, routines and processes for all areas of study, with and without the use of technology
  • Relevant mental and by-hand approaches to estimation and computation
  • Apply deductive reasoning and language
  • Use computational thinking, algorithms, models and simulations to solve problems related to a given context.

Assessment:

Analysis Tasks.

VCAA ASSESSMENT – THE OVERALL STUDY SCORE WILL CONSIST OF:

  • Unit 3 School Assessed Coursework - 20%
  • Unit 4 School Assessed Coursework - 20%
  • Examination 1 (Technology free – Short and Extended Answers) - 20%
  • Examination 2 (Technology permitted – Multiple Choice and Extended Answers) - 40%

Prerequisites: The student must have satisfactory completion of Unit 1 & 2 Specialist Mathematics and Unit 1 & 2 Mathematical Methods. The student must also be enrolled in or have completed Unit 3 & 4 Mathematical Methods as it contains assumed knowledge and skills for Specialist Mathematics