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• VC2M10ASP02

  establish the sine, cosine and area rules for any triangle and solve related problems

  Elaborations

  • applying knowledge of sine, cosine and area rules to authentic problems such as those involving surveying and design

  VC2M10ASP02 | Mathematics | Mathematics Version 2.0 | Level 10A | Space

• VC2M10ASP04

  solve simple trigonometric equations

  Elaborations

  • using periodicity and symmetry to solve equations

  VC2M10ASP04 | Mathematics | Mathematics Version 2.0 | Level 10A | Space

• VC2M10ASP06

  design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions 

  Elaborations

  • designing and making scale models of three-dimensional objects using digital tools; for example, making components of a puzzle using a three-dimensional printer, and planning and designing the puzzle using principles of tessellations
  • applying a computational thinking approach to solving problems involving networks, for example, connectedness, coverage and weighted measures, such as taking different routes and choosing the most efficient route to take when travelling by car using virtual map software 
  • defining and decomposing spatial problems, creating and applying algorithms to generate solutions, and evaluating and communicating solutions in terms of the problem; for example, designing a floor plan for a department store that limits congestion at key areas such as check-outs, changing rooms and near popular sale items
  • designing, creating and testing algorithms using pseudocode or flow charts for producing self-similar patterns; and validating algorithms using a range of test cases to compare their output
  • exploring geospatial technologies used by Aboriginal and/or Torres Strait Islander communities, to consider spatial problems including position and transformation

  VC2M10ASP06 | Mathematics | Mathematics Version 2.0 | Level 10A | Space

• VC2M10AST03

  use digital tools to investigate bivariate numerical data sets; where appropriate use a straight line to describe the relationship allowing for variation, make predictions based on this straight line and discuss limitations

  Elaborations

  • investigating different techniques for finding a ‘line of best fit’
  • using a fitted line to data to make predictions between and beyond existing data values and discussing limitations of these predictions

  VC2M10AST03 | Mathematics | Mathematics Version 2.0 | Level 10A | Statistics

• VC2M10AST01

  calculate and interpret the mean and standard deviation of data and use these to compare data sets; investigate the effect of individual data values, including outliers, on the standard deviation

  Elaborations

  • using the standard deviation to describe the spread of a set of data
  • using the mean and standard deviation to compare numerical data sets
  • constructing distributions for the mean and standard deviation of simple random samples from a population

  VC2M10AST01 | Mathematics | Mathematics Version 2.0 | Level 10A | Statistics

• VC2M10AST02

  identify measures of spread, and understand their interpretation and usefulness with respect to different data distributions

  Elaborations

  • comparing the use of quantiles, percentiles, and cumulative frequency to analyse the distribution of data
  • comparing measures of spread for different data distributions, such as mean or median absolute deviations with standard deviations, and exploring the effect of outliers

  VC2M10AST02 | Mathematics | Mathematics Version 2.0 | Level 10A | Statistics