Year 8 Maths — AC v9
All 27 content descriptions for Year 8 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)
- •By the end of Year 8, students recognise irrational numbers and terminating or recurring decimals.
- •Students use mathematical modelling to solve problems using linear relations, interpreting and reviewing the model in context.
- •They conduct statistical investigations and explain the implications of obtaining data through sampling.
- •Students use 3 dimensions to locate and describe position.
- •They use Pythagoras’ theorem to solve measurement problems involving unknown lengths of right-angle triangles.
- •They apply the exponent laws to calculations with numbers involving positive integer exponents.
- •Students use appropriate metric units when solving measurement problems involving the perimeter and area of composite shapes, and volume of right prisms.
- •They graph linear relations and solve linear equations with rational solutions and one-variable inequalities, graphically and algebraically.
- •They conduct experiments and simulations using digital tools to determine related probabilities of compound events.
- •Students represent the possible combinations of 2 events with tables and diagrams, and determine related probabilities to solve practical problems.
- •They identify conditions for congruency and similarity in shapes and create and test algorithms designed to test for congruency and similarity.
- •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.
- •They make and test conjectures involving linear relations using digital tools.
- •Students apply the properties of quadrilaterals to solve problems.
- •They solve problems of duration involving 12- and 24-hour cycles across multiple time zones.
- •Students solve problems involving the 4 operations with integers and positive rational numbers.
- •Students apply algebraic properties to rearrange, expand and factorise linear expressions.
- •Students use formulas to solve problems involving the area and circumference of circles.
- •They use mathematical modelling to solve practical problems involving ratios, percentages and rates in measurement and financial contexts.
- •Students analyse and describe the distribution of data.
- AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
- AC9M8A02graph 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
- AC9M8A03use 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
- AC9M8A04experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
- AC9M8M01solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
- AC9M8M02solve problems involving the volume and capacity of right prisms using appropriate units
- AC9M8M03solve problems involving the circumference and area of a circle using formulas and appropriate units
- AC9M8M04solve problems involving duration, including using 12- and 24-hour time across multiple time zones
- AC9M8M05recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
- AC9M8M06use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
- AC9M8M07use 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
- AC9M8N01recognise irrational numbers in applied contexts, including square roots and π
- AC9M8N02establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers
- AC9M8N03recognise terminating and recurring decimals, using digital tools as appropriate
- AC9M8N04use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate
- AC9M8N05use 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
- AC9M8P01recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts
- AC9M8P02determine 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
- AC9M8P03conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results
- AC9M8SP01identify 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
- AC9M8SP02establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
- AC9M8SP03describe 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
- AC9M8SP04design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works
- AC9M8ST01investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques
- AC9M8ST02analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples
- AC9M8ST03compare 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
- AC9M8ST04plan 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
Free download
The Year 8 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.