MA164 - Further Mathematics (NHT) 4

Unit code: MA164 | Study level: TAFE

Credit points

N/A

Location

Footscray Nicholson

Prerequisites

MA163 - Further Mathematics (NHT) 3

(Or equivalent to be determined by unit coordinator)

Overview

Further Mathematics consists of two areas of study, a compulsory Core area of study to be completed in Unit 3 and an Applications area of study to be completed in Unit 4. The Core comprises ‘Data analysis’ and ‘Recursion and financial modelling’. The Applications comprises two modules to be completed in their entirety, from a selection of four possible modules: ‘Matrices’, ‘Networks and decision mathematics’, ‘Geometry and measurement’ and ‘Graphs and relations’. ‘Data analysis’ comprises 40 per cent of the content to be covered, ‘Recursion and financial modelling’ comprises 20 per cent of the content to be covered, and each selected module comprises 20 per cent of the content to be covered. Assumed knowledge and skills for the Core are contained in the General Mathematics Units 1 and 2 topics: ‘Computation and practical arithmetic’, ‘Investigating and comparing data distributions’, ‘Investigating relationships between two numerical variables’, ‘Linear graphs and modelling’, ‘Linear relations and equations’, and ‘Number patterns and recursion’. For each module there are related topics in General Mathematics Units 1 and 2.

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, and graphs. They should have a facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic, financial 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.

This unit is delivered in Year 12.

Assessment

For Melbourne campuses

Assessment tasks will be designed to reinforce and extend knowledge in accordance with each unit’s learning outcomes, including the setting of practical application tasks designed to provide evidence of competence outcomes, within periodic and scheduled timelines. Students will be expected to demonstrate the following knowledge:

Outcome 1
On completion of this unit the student should be able to define and explain key concepts as specified in the content from the two selected modules, and apply related mathematical techniques and models in routine contexts.

Outcome 2
On completion of this unit the student should be able to select and apply the mathematical concepts, models and techniques from the two selected modules in a range of contexts of increasing complexity.

Outcome 3
On completion of this unit the student should be able to select and appropriately use numerical, graphical, symbolic
and statistical functionalities of technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches.

Assessment will follow the requirements set out in the VCE Mathematics Study Guide:

SCHOOL-BASED ASSESSMENT

Satisfactory completion
The award of satisfactory completion for a unit is based on whether the student has demonstrated the set of outcomes specified for the unit. A variety of assessment tasks will provide a range of opportunities for students to demonstrate the key knowledge and key skills in the outcomes.
Assessment of levels of achievement
The student’s level of achievement in Unit 4 will be determined by School-assessed Coursework (SAC). SAC will be completed mainly in class and within a limited time-frame.

SAC for Unit 3 will contribute 20 per cent to the study score (MA163 Maths: Further Mathematics (NHT) 3).
SAC for Unit 4 will contribute 14 per cent to the study score.

EXTERNAL ASSESSMENT
The level of achievement for Units 3 and 4 is also assessed by two end-of-year examination, which will contribute 33 per cent each to the study score.

Required reading

The qualified trainer and assessor will provide teaching and learning materials as required in the form of workbooks produced by the Polytechnic and/or via the Polytechnic e-learning system.