Year 10 Maths — AC v9
All 21 content descriptions for Year 10 Maths in the Australian Curriculum Version 9, grouped by strand — each one links to its own page, and TeachKoala can turn any of them into a complete lesson (your first is free).
Achievement standard (what coverage means)
- •Students make and test conjectures involving functions and relations using digital tools.
- •Students design and conduct simulations involving conditional probability, using digital tools.
- •They apply conditional probability to solve problems involving compound events.
- •Students compare the distribution of continuous numerical data using various displays, and discuss distributions in terms of centre, spread, shape and outliers.
- •Students apply Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles.
- •They solve measurement problems involving surface area and volume of composite objects.
- •Students use mathematical modelling to solve practical problems involving proportion and scaling, evaluating and modifying models, and reporting assumptions, methods and findings.
- •Students represent the distribution of data involving 2 variables, using tables and scatter plots, and comment on possible association.
- •They use deductive reasoning, theorems and algorithms to solve spatial problems.
- •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 interpret and use logarithmic scales representing small or large quantities or change in applied contexts.
- •They solve problems involving simultaneous linear equations and linear inequalities in 2 variables graphically and justify solutions.
- •They identify the impact of measurement errors on the accuracy of results.
- •By the end of Year 10, students recognise the effect of approximations of real numbers in repeated calculations.
- •They plan and conduct statistical investigations involving bivariate data.
- •They analyse inferences and conclusions in the media, noting potential sources of bias.
- •Students interpret networks used to represent practical situations and describe connectedness
- AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
- AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
- AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
- AC9M10A04use 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
- AC9M10A05experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
- AC9M10M01solve problems involving the surface area and volume of composite objects using appropriate units
- AC9M10M02interpret and use logarithmic scales in applied contexts involving small and large quantities and change
- AC9M10M03solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
- AC9M10M04identify the impact of measurement errors on the accuracy of results in practical contexts
- AC9M10M05use 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
- AC9M10SP01apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
- AC9M10SP02interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
- AC9M10SP03design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions
- AC9M10ST01analyse claims, inferences and conclusions of statistical reports in the media, including ethical considerations and identification of potential sources of bias
- AC9M10ST02compare 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
- AC9M10ST03construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity
- AC9M10ST04construct two-way tables and discuss possible relationship between categorical variables
- AC9M10ST05plan and conduct statistical investigations of situations that involve bivariate data; evaluate and report findings with consideration of limitations of any inferences
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The Year 10 Maths planning scaffold
A one-page planning sheet with the official achievement standard, every content description grouped by strand, and space for your assessment and week-by-week sequence. Print it and plan on paper, or use it as the skeleton for a unit.
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Content descriptions and achievement standard © ACARA, Australian Curriculum Version 9, used under CC BY 4.0. TeachKoala is not affiliated with or endorsed by ACARA.