Official workbook snapshot accessed 2 October 2026, Australia/Brisbane; all 27 descriptions, whole introduction and whole achievement standard. This full authority context does not claim full teaching coverage.
Official curriculum workbook: 2049917 bytes, SHA256 db446882d2c00cf7c085a03e250e2442fda6c44011fc114680c46c1dc7a822c3. Dataset acara-v9.0-snapshot-2026-09-29; canonical snapshot 18074483 bytes, SHA256 15fbbef5283a4b48b8a8e00ae3c7c635377cea2175afc1f2f12d12f9d5453e60. Exact raw witness held separately.
MATMATY8 · level_description · row 18106 · D
In Year 8, learning in Mathematics builds on each student’s prior learning and experiences. Students engage in a range of approaches to learning and doing mathematics that develop their understanding of and fluency with concepts, procedures and processes by making connections, reasoning, problem-solving and practice. Proficiency in mathematics enables students to respond to familiar and unfamiliar situations by employing mathematical strategies to make informed decisions and solve problems efficiently.
Students further develop proficiency and positive dispositions towards mathematics and its use as they:
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extend computation with combinations of the 4 operations with integers and positive rational numbers, recognise the relationship between fractions and their terminating or infinite recurring decimal expansions; they convert between fraction and decimal forms of rational numbers and locate them on the real number line
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extend the exponent laws to numerical calculations involving positive and zero exponents, and solve a broad range of practical problems, using mental methods, written algorithms and digital tools
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use mathematical modelling to solve problems in a broad range of contexts that involve ratios with 2 or more terms, percentage increase and decrease, proportions with decimal values, and rates in measurement contexts, and apply proportional reasoning
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manipulate linear and other algebraic expressions, recognise and model situations using linear relations and solve related equations using tables, graphs and algebra
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interpret and explain demonstrations and proofs of Pythagoras’ theorem and investigate irrational numbers, their infinite non-recurring decimal expansion and their approximate location on the real number line
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select metric measurement units fit for purpose, convert between units, recognising the effects of different levels of measurement accuracy on the results of computations, and relate these to interval estimates for measurements in various contexts
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apply knowledge of the relationships between π and the features of circles to solve problems involving circumference and area and establish sets of congruency and similarity conditions for common shapes in the plane and create algorithms to test for these conditions, discuss examples and counterexamples
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construct and locate objects with reference to three-dimensional coordinates using digital tools
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consider a variety of situations involving complementary and mutually exclusive events, combinations of 2 events; represent these using tables and diagrams, conducting simulations and calculating corresponding probabilities
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examine experimental and observational data and identify populations and samples with respect to context; investigate variation in summary statistics across samples of varying size and discuss their findings.
AC9M8N01 · content_description · row 18108 · J
recognise irrational numbers in applied contexts, including square roots and (π)
AC9M8N02 · content_description · row 18113 · J
establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers
AC9M8N03 · content_description · row 18118 · J
recognise terminating and recurring decimals, using digital tools as appropriate
AC9M8N04 · content_description · row 18121 · J
use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate
AC9M8N05 · content_description · row 18125 · J
use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
AC9M8A01 · content_description · row 18131 · J
create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
AC9M8A02 · content_description · row 18135 · J
graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution
AC9M8A03 · content_description · row 18142 · J
use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
AC9M8A04 · content_description · row 18147 · J
experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
AC9M8M01 · content_description · row 18153 · J
solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
AC9M8M02 · content_description · row 18157 · J
solve problems involving the volume and capacity of right prisms using appropriate units
AC9M8M03 · content_description · row 18162 · J
solve problems involving the circumference and area of a circle using formulas and appropriate units
AC9M8M04 · content_description · row 18167 · J
solve problems involving duration, including using 12- and 24-hour time across multiple time zones
AC9M8M05 · content_description · row 18171 · J
recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
AC9M8M06 · content_description · row 18177 · J
use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
AC9M8M07 · content_description · row 18183 · J
use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
AC9M8SP01 · content_description · row 18190 · J
identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
AC9M8SP02 · content_description · row 18197 · J
establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
AC9M8SP03 · content_description · row 18201 · J
describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools
AC9M8SP04 · content_description · row 18208 · J
design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works
AC9M8ST01 · content_description · row 18213 · J
investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques
AC9M8ST02 · content_description · row 18219 · J
analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples
AC9M8ST03 · content_description · row 18224 · J
compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation
AC9M8ST04 · content_description · row 18231 · J
plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty
AC9M8P01 · content_description · row 18236 · J
recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts
AC9M8P02 · content_description · row 18241 · J
determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations
AC9M8P03 · content_description · row 18246 · J
conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results
Whole achievement standard (no code) · achievement_standard · row 231 · F
By the end of Year 8, students recognise irrational numbers and terminating or recurring decimals. They apply the exponent laws to calculations with numbers involving positive integer exponents. Students solve problems involving the 4 operations with integers and positive rational numbers. They use mathematical modelling to solve practical problems involving ratios, percentages and rates in measurement and financial contexts. Students apply algebraic properties to rearrange, expand and factorise linear expressions. They graph linear relations and solve linear equations with rational solutions and one-variable inequalities, graphically and algebraically. Students use mathematical modelling to solve problems using linear relations, interpreting and reviewing the model in context. They make and test conjectures involving linear relations using digital tools.
Students use appropriate metric units when solving measurement problems involving the perimeter and area of composite shapes, and volume of right prisms. They use Pythagoras’ theorem to solve measurement problems involving unknown lengths of right-angle triangles. Students use formulas to solve problems involving the area and circumference of circles. They solve problems of duration involving 12- and 24-hour cycles across multiple time zones. Students use 3 dimensions to locate and describe position. They identify conditions for congruency and similarity in shapes and create and test algorithms designed to test for congruency and similarity. Students apply the properties of quadrilaterals to solve problems.
They conduct statistical investigations and explain the implications of obtaining data through sampling. Students analyse and describe the distribution of data. They compare the variation in distributions of random samples of the same and different size from a given population with respect to shape, measures of central tendency and range. Students represent the possible combinations of 2 events with tables and diagrams, and determine related probabilities to solve practical problems. They conduct experiments and simulations using digital tools to determine related probabilities of compound events.
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