Year 8 Mathematics in the Australian Curriculum

AC9M8N01

recognise irrational numbers in applied contexts, including square roots and \(π\)

AC9M8N02

establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

AC9M8N03

recognise terminating and recurring decimals, using digital tools as appropriate

AC9M8N04

use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

AC9M8N05

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

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

AC9M8A02

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

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

experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

AC9M8M01

solve problems involving the area and perimeter of irregular and composite shapes using appropriate units

AC9M8M02

solve problems involving the volume and capacity of right prisms using appropriate units

AC9M8M03

solve problems involving the circumference and area of a circle using formulas and appropriate units

AC9M8M04

solve problems involving duration, including using 12- and 24-hour time across multiple time zones

AC9M8M05

recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

AC9M8M06

use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

AC9M8M07

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

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

establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

AC9M8SP03

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

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

investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques

AC9M8ST02

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

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

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

recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts

AC9M8P02

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

conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results