AC9M10M04 Year 10 Mathematics

AC9M10M04 – 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

identify the impact of measurement errors on the accuracy of results in practical contexts

Elaborations

• describing settings where measurement errors may impact research results and how measurement data impacted by error can result in biased findings
• analysing instruments and methods for measuring in investigations and modelling activities
• determining the impact that compounding errors have on financial calculations; for example, considering the effect of truncation on money amounts for large scale customer populations
• investigating the impact of measurement errors in the perception and control systems of autonomous vehicles, such as measurement errors due to sensor limitations
• investigating scientific measuring techniques, including dating methods and genetic sequencing, applied to First Peoples of Australia and their artefacts, and the social impact of measurement errors

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.