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Year 10 Mathematics Achievement Standard – Australian Curriculum v9
Year 10 Mathematics ASMATY10

Year 10 Mathematics Achievement Standard – Australian Curriculum v9

This Achievement Standard describes what students are expected to know and do in Year 10 Mathematics by the end of the year. Teachers can use it to guide assessment design, collect evidence of learning, and ensure planning stays aligned with the Australian Curriculum v9.

What Students Should Know

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.

Content Descriptors by Strand

This standard is supported by 21 Content Descriptors:

Algebra

AC9M10A01 expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property AC9M10A02 solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation AC9M10A03 recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate AC9M10A04 use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings AC9M10A05 experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Measurement

AC9M10M01 solve problems involving the surface area and volume of composite objects using appropriate units AC9M10M02 interpret and use logarithmic scales  in applied contexts involving small and large quantities and change AC9M10M03 solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression AC9M10M04 identify the impact of measurement errors on the accuracy of results in practical contexts AC9M10M05 use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings

Number

AC9M10N01 recognise the effect of using approximations of real numbers in repeated calculations and compare the results when using exact representations

Probability

AC9M10P01 use the language of “if .... then”, “given”, “of”, “knowing that” to describe and interpret situations involving conditional probability AC9M10P02 design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results

Space

AC9M10SP01 apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems AC9M10SP02 interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness AC9M10SP03 design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions

Statistics

AC9M10ST01 analyse claims, inferences and conclusions of statistical reports in the media, including ethical considerations and identification of potential sources of bias AC9M10ST02 compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data AC9M10ST03 construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity AC9M10ST04 construct two-way tables and discuss possible relationship between categorical variables AC9M10ST05 plan and conduct statistical investigations of situations that involve bivariate data; evaluate and report findings with consideration of limitations of any inferences

At a Glance

Strand Substrand CDs Elaborations
Algebra — 5 24
Measurement — 5 24
Number — 1 2
Probability — 2 8
Space — 3 17
Statistics — 5 25
Total 21 100

Frequently Asked Questions

What should students know by the end of Year 10 Mathematics?
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.
How many Content Descriptors support this standard?
21 Content Descriptors support this Achievement Standard (Algebra: 5, Measurement: 5, Number: 1, Probability: 2, Space: 3, Statistics: 5).
How does this compare to Year 9?
The Year 9 Mathematics standard (ASMATY9) covers the preceding year level. Standards build progressively, with Year 10 expectations extending what was introduced in Year 9.
Is this from the latest Australian Curriculum?
Yes, this Achievement Standard is from the Australian Curriculum version 9.0 (AC v9), the most current version published by ACARA.