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AC9M10M02: Year 10 Mathematics Content Descriptor – Measurement
AC9M10M02 Year 10 Mathematics

AC9M10M02 – Year 10 Mathematics: null

Strand
Measurement
Substrand
Measurement

This Content Descriptor from Year 10 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

Content Descriptor

interpret and use logarithmic scales  in applied contexts involving small and large quantities and change

Elaborations

  • • understanding that the logarithmic scale is calibrated in terms of order of magnitude; for example, doubling or powers of 10
  • • identifying and interpreting data representations (charts and graphs) that use logarithmic scales and discussing when it is appropriate to use this type of scale and when it is not appropriate; for example, graphs representing percentage change, a wide range of values or exponential growth
  • • investigating and interpreting logarithmic scales used in real-world contexts; for example, Richter, decibel and sensitivity scales or growth in investments, timescales and the spread of micro-organisms and disease and describing reasons for choosing to use a logarithmic scale rather than a linear scale
  • • investigating how logarithmic scaling can be used in machine learning algorithms to compress large values while preserving small ones, allowing the algorithms to efficiently work on problems with a wide range of values
  • • investigating dating methods of geological sites to provide evidence of First Peoples of Australia’s human presence in Australia, including the Madjedbebe dig in the Northern Territory, that use logarithmic scales (scientific notation) and measurement accuracy in the dating

Achievement Standard This Supports

This Content Descriptor contributes to the following Achievement Standard:

Year 10 ASMATY10
Year 10 Mathematics Achievement Standard
By the end of Year 10, students recognise the effect of approximations of real numbers in repeated calculations. They use mathematical modelling to solve problems involving growth and decay in financial and other applied situations, applying linear, quadratic and exponential functions as appropriate, and solve related equations, numerically and graphically. Students make and test conjectures involving functions and relations using digital tools. They solve problems involving simultaneous linear equations and linear inequalities in 2 variables graphically and justify solutions. Students interpret and use logarithmic scales representing small or large quantities or change in applied contexts. They solve measurement problems involving surface area and volume of composite objects. Students apply Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles. They identify the impact of measurement errors on the accuracy of results. Students use mathematical modelling to solve practical problems involving proportion and scaling, evaluating and modifying models, and reporting assumptions, methods and findings. They use deductive reasoning, theorems and algorithms to solve spatial problems. Students interpret networks used to represent practical situations and describe connectedness. They plan and conduct statistical investigations involving bivariate data. Students represent the distribution of data involving 2 variables, using tables and scatter plots, and comment on possible association. They analyse inferences and conclusions in the media, noting potential sources of bias. Students compare the distribution of continuous numerical data, using various displays, and discuss distributions in terms of centre, spread, shape and outliers. They apply conditional probability to solve problems involving compound events. Students design and conduct simulations involving conditional probability, using digital tools.