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ACSF Numeracy Level 5 Sample Activities



Personal and community

  • –  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