Outcome 1

On completion of this unit the student should be able to use and apply a range of mathematical concepts, skills and procedures from selected areas of study to solve problems based on a range of everyday and real-life contexts.

Space, shape and design

Key knowledge
  • the names and properties of common geometric shapes and objects
  • the language, symbols and conventions for the representation of geometric objects, including point, line, ray, angle, diagonal, edge, curve, face, and vertex
  • the language, symbols and labelling and drawing conventions for diagrams, maps, plans, and models, including key, scale, direction, distance, coordinates and grid reference and elevation
  • transformations, symmetry and similarity
  • Pythagoras’ theorem.
Key skills
  • interpret and describe objects using accurate and appropriate geometric language and conventions
  • create and modify diagrams, plans, maps and designs using drawing equipment and digital drawing packages
  • develop three-dimensional models for objects and produce two-dimensional representations
  • interpret diagrams, plans, maps and models and evaluate their accuracy
  • interpret information on maps to plan and describe travel routes, including use of navigational software and tools
  • apply similarity, symmetry and Pythagoras’ theorem to problems in art, design and measurement.

Patterns and number

To achieve this outcome the student will draw on knowledge and skills outlined in Area of Study 2.

Key knowledge
  • integers, decimals, fractions, ratios, proportions, percentages and rates
  • place value, rounding, leading digit approximation and order of magnitude as powers of 10
  • numerals and symbols, number facts and operations and strategies for calculation
  • concepts of constant, variable and formula.
Key skills
  • form estimates and carry out relevant calculations using mental and by-hand methods
  • use technology effectively for accurate, reliable and efficient calculation
  • solve practical problems which require the use and application of a range of numerical computations involving integers, decimals, fractions, ratios, proportions, percentages, rates, powers and roots
  • solve practical problems using constants, variables, formulas and algebra
  • check for accuracy and reasonableness of results.

Data

Key knowledge
  • categorical and numerical data
  • methods of data collection and organisation
  • the key terminology, features and conventions of diagrams, charts, tables and graphs
  • the purposes for using different forms of data representation and types of data scales (categorical and numerical)
  • the common measures of central tendency (averages) and spread
  • characteristics and properties of data sets and their distributions
  • the terminology for comparison and analysis of data sets, graphs and summary statistics.
Key skills
  • collect, organise, collate and represent categorical and numerical data
  • accurately read and interpret diagrams, charts, tables and graphs
  • summarise statistical data and calculate commonly used measures of central tendency and spread
  • describe, compare and analyse data sets and any limitations.

Measurement

To achieve this outcome the student will draw on knowledge and skills outlined in Area of Study 4.

Key knowledge
  • the metric units for length, area, volume, capacity, time, mass, temperature and common derived units
  • the meaning and conventions of different metric units, relative scale and conversions, including International System of Units (SI)
  • digital and analogue tools and instruments and scales
  • the formulas for calculating length, area, surface area, volume and capacity
  • concepts of tolerance and error.
Key skills
  • identify and use common metric and other relevant measurements
  • convert between a range of metric and other relevant units
  • estimate and accurately measure different quantities using appropriate tools
  • calculate and interpret length, area, surface area, volume, capacity and duration
  • solve a broad range of personal, societal or workplace measurement problems with consideration of error, required accuracy and tolerances, estimation, rounding and approximation strategies.