VCE Specialist Mathematics Units 1 and 2

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1.1 Whole Numbers
1.2 Number Skills
1.3 Number Sequences
1.4 Arithmetic Sequences and Series
1.5 Geometic Sequences and Series
1.6 Principal of Mathematical Induction
1.7 Complex Numbers

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49 Lessons

2.1 Set Theory
2.2 Venn Diagrams
2.3 Counting Techniques
2.4 Descriptive Statistics

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36 Lessons

4.1 Geometry
4.2 Circle Geometry
4.3 Similarity
4.4 Logic
4.5 Pythagoras Theorem
4.6 Trigonometry
4.7 Non-Right Angled Triangles
4.8 Vectors

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56 Lessons

5.1 Motions in Straight Lines
5.2 Graphs
5.3 Applications of Differentiation

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16 Lessons

6.1 Descriptive Statistics
6.2 Simulation
6.3 Representing Data
6.4 Exploring Data

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40 Lessons

Specialist Mathematics Units 1 and 2 provide a course of study for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem-solving and reasoning. This study has a focus on interest in the discipline of mathematics in its own right and investigation of a broad range of applications, as well as the development of a sound background for further studies in mathematics and mathematics-related fields.

Mathematical Methods Units 1 and 2 and Specialist Mathematics Units 1 and 2, taken in conjunction, provide comprehensive preparation for Specialist Mathematics Units 3 and 4. The areas of study for Units 1 and 2 of Specialist Mathematics is ‘Algebra and structure’, ‘Arithmetic and number’, ‘Discrete mathematics’, ‘Geometry, measurement and trigonometry’, ‘Graphs of linear and non-linear relations’ and ‘Statistics’.

For Units 1 and 2, to suit the range of students entering the study, and cover the four prescribed topics, content must be selected from the six areas of study using the following rules:

  • for each unit, content covers four or more topics in their entirety, selected from at least three different areas of study
  • each unit must include two of the prescribed topics: Number systems and recursion; Vectors in the plane; Geometry in the plane and proof; and Graphs of non-linear relations
  • other topics can be selected from those included in the areas of study for Specialist Mathematics Units 1 and 2 and/or General Mathematics Units 1 and 2
  • courses intended as preparation for study at the Units 3 and 4 level should include a selection of content from areas of study that provide a suitable background for these studies
  • content from an area of study provides a clear progression in knowledge and skills from Unit 1 to Uni

In undertaking these units, students are expected to be able to apply techniques, routines and processes
involving rational, real and complex arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations and graphs with and without the use of technology. They should have a facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment, is to be incorporated throughout each unit as applicable.

source – VCE Mathematics Study Design