– Researches and investigates at least two different sports, including comparing and analysing a
number of features and aspects of the sports such as the playing areas, the rules of the game, the
sports’ records, payments to players and participation rates, including any gender issues and benefits
or otherwise to the community
– Investigates personal loan financing options and decides on a major purchase to be financed by a
loan, researches the types and conditions of each loan, calculates interest payable using appropriate
interest formulae and calculates monthly repayments over a chosen repayment period, compares
and contrasts information gathered, and decides on the best loan deal relative to repayment
affordability and conditions
– Given particular financial constraints and personal or family requirements, investigates and analyses
the options for where best to rent or buy a home or holiday house, considers and compares
location, price and availability, and makes recommendations
– Works in a team to research, investigate and analyse options for the establishment of a community
enterprise, considering factors that may impact on the feasibility of the enterprise or business,
describes its services or products, and develops a budget and draft business plan
– Researches and conducts an investigation into the impact of an environmental issue, gathers data
and undertakes a statistical analysis (e.g. of traffic pollution or greenhouse emissions), presents the
data graphically using measures of central tendency and spread, and analyses and discusses the data
and outcomes
Workplace and employment
– Investigates financial options for a business or organisation, e.g. decides on a major purchase that
would need to be financed by a loan, compares options, including interest paid and repayment
schedules, and recommends the best loan deal relative to repayment affordability and conditions
– Investigates and analyses an organisational and logistical problem and documents and explains
a mathematical solution to the problem, e.g. given time constraints and working times, allocates
staffing to fill out a known roster that meets designated requirements; given simple networking
problem such as delivering materials to four different sites knowing their travelling times/distances,
finds most economical delivery route; using simultaneous equations and graphs, analyses and works
out the best options for choosing between different service providers whose charges are based on
different initial fixed charges and hourly rates
– Works in a team to research, investigate and analyse workplace data gathered on a selected topic
(e.g. accident rates, sales figures or causes of contamination or pollution), writes a detailed report
based on a comprehensive statistical analysis and develops recommendations based on the analysis
– Provides a materials list for a building project that requires trigonometric calculations to determine
outcomes, e.g. roof structure with bull nose veranda and 30° pitch
– Designs a product using geometry and trigonometry or a Computer Assisted Drawing (CAD)
software package (e.g. a tool or a part) according to client specifications
Education and training
– Uses algebraic and graphical techniques to measure, record and analyse data obtained by
experiment, as part of a course, to ascertain any relationship between the variables, and establishes
the type of relationship (e.g. parabolic, exponential or variation) it explains, extracts key information
from graphs to create formula connecting variables and tests formula against experimental data
– Researches and investigates statistical data gathered through individual research or experimentation,
organises data into groups in a frequency table, represents data graphically, calculates and records
measures of central tendency and spread, and analyses and discusses the results, including the
relevance of the data and the impact on the topic of research or investigation
– Researches and investigates the relationship between two measures (e.g. height and weight, goals
kicked or Brownlow votes for year) and conducts a set of measurements with at least 20 pairs of
data, or obtains data from a published source and creates a scatter plot. Collates, analyses and
summarises the results and describes the scatter plot in terms of the strength and direction of the
relationship
– Researches and investigates a fictional sales company and considers whether to employ a sales
representative on a retainer and commission or on a straight commission basis and writes a report
considering this from the point of view of both the company and the salesperson. This needs to
include an analysis from both a graphical and an algebraic perspective
– Designs an item using geometry and trigonometry or a CAD software package (e.g. new packaging,
shed or office), decides on required size and shape, creates scale drawings and builds a model of the
item. Calculates the quantities and the costs of materials for a full sized item, assessing the process
and results, and discusses ways to improve the design
