Year 8 Mathematics Course Codes
The following table shows the course codes that are covered.
| Achievement Standard Aspect | Relevant Content Description/s | AC v9.0 Code |
|---|---|---|
| Students recognise irrational numbers and terminating or recurring decimals | recognise irrational numbers in applied contexts, including square roots; recognise terminating and recurring decimals, using digital tools as appropriate | AC9M8N01 AC9M8N03 |
| They use formulas to solve problems involving the area and circumference of a circle | solve problems involving the circumference and area of a circle using formulas and appropriate units | AC9M8M03 |
| They apply the exponent laws to calculations with numbers involving positive integer exponents | establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers | AC9M8N04 |
| They solve problems involving the 4 operations with integers and positive rational numbers | use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate | AC9M8N02 |
| They use mathematical modelling to solve practical problems involving ratios, percentages and rates in measurement and financial contexts | use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate 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 recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure 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 |
AC9M8N02 AC9M8N05 AC9M8M01 AC9M8M02 |
| They apply algebraic properties to rearrange, expand and factorise linear expressions | create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties | AC9M8A01 |
| They graph linear relations and solve linear equations with rational solutions and one-variable inequalities graphically and algebraically | 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 | AC9M8A02 |
| They use mathematical modelling to solve problems using linear relations, interpreting and reviewing the model in context | create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties 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 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 |
AC9M8A01 AC9M8A02 AC9M8A04 |
| They make and test conjectures involving linear relations using digital tools | 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 experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns |
AC9M8A02 AC9M8A03 |
| They 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-angled triangles | use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate solve problems involving the area and perimeter of irregular and composite shapes using appropriate units solve problems involving the volume and capacity of right prisms using appropriate units use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles |
AC9M8N02 AC9M8M04 AC9M8M05 AC9M8M06 |
| They solve problems of duration involving 12- and 24-hour cycles across multiple time zones | solve problems involving duration, including using 12- and 24-hour time across multiple time zones | AC9M8M07 |
| They use 3 dimensions to locate and describe position | 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 | AC9M8S01 |
| They identify conditions for congruency and similarity in shapes and create and test algorithms designed to test for congruency and similarity. They apply the properties of quadrilaterals to solve problems | 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 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 establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning |
AC9M8S02 AC9M8S03 AC9M8S04 |
| They conduct statistical investigations and explain the implication of obtaining data through sampling | investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through those techniques 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 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 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 |
AC9M8ST01 AC9M8ST02 AC9M8ST03 AC9M8ST04 |
| They analyse and describe the distribution of data | 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 | AC9M8ST02 |
| 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 | 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 | AC9M8ST03 |
| They represent the possible combinations of 2 events with tables and diagrams, and determine related probabilities to solve practical problems | recognise that complementary events have a combined probability of one, use this relationship to calculate probabilities in applied contexts 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 |
AC9M8P01 AC9M8P02 |
| They conduct experiments and simulations using digital tools to determine related probabilities of compound events | recognise that complementary events have a combined probability of one, use this relationship to calculate probabilities in applied contexts 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 conduct repeated chance experiments and simulations using digital tools to determine probabilities for compound events, and describe results |
AC9M8P01 AC9M8P02 AC9M8P03 |