Year 9 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 and use rational and irrational numbers to solve problems | recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools | AC9M9N01 |
| They extend and apply the exponent laws with positive integers to variables. | apply the exponent laws to numerical expressions with integer exponents and extend to variables. | AC9M9A01 |
| They expand binomial products, and factorise monic quadratic expressions | simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions | AC9M9A02 |
| They find the distance between 2 points on the Cartesian plane, and the gradient and midpoint of a line segment | find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane | AC9M9A03 |
| They use mathematical modelling to solve problems involving change in financial and other applied contexts choosing to use linear and quadratic functions | simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions; identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate use mathematical modelling to solve applied problems involving change including financial contexts, formulate problems, choosing to use either linear or quadratic functions interpret solutions in terms of the situation, evaluate the model and report methods and findings |
AC9M9A02 AC9M9A04 AC9M9A05 |
| They graph quadratic functions and solve monic quadratic equations with integer roots algebraically | simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions; identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate | AC9M9A02 AC9M9A04 |
| They describe the effects of variation of parameters on functions and relations, using digital tools, and make connections between their graphical and algebraic representation. | experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns | AC9M9A06 |
| They apply formulas to solve problems involving the surface area and volume of right prisms and cylinders | solve problems involving the volume and surface area of right prisms and cylinders using appropriate units | AC9M9M01 |
| They solve problems involving ratio, similarity and scale in two-dimensional situations | solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles | AC9M9M02 |
| They determine percentage errors in measurements | calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates | AC9M9M04 |
| They apply Pythagoras' theorem and use trigonometric ratios to solve problems involving right-angled triangles | solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity |
AC9M9M02 AC9M9SP01 |
| They use mathematical modelling to solve practical problems involving direct proportion, ratio and scale, evaluating the model and communicating their methods and findings | solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts, formulate the problems and interpret solutions in terms of the situation, evaluate the model and report methods and findings recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate, identify and explain aspects that remain the same and those that change |
AC9M9M02 AC9M9M03 AC9M9SP01 AC9M9SP02 |
| They express small and large numbers in scientific notation | solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation | AC9M9N02 |
| They apply the enlargement transformation to images of shapes and objects, and interpret results | apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate, identify and explain aspects that remain the same and those that change | AC9M9SP02 |
| They design, use and test algorithms based on geometric constructions or theorems | design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements | AC9M9SP03 |
| They compare and analyse the distributions of multiple numerical data sets, choose representations, describe features of these data sets using summary statistics and the shape of distributions, and consider the effect of outliers | represent the distribution of multiple data sets for numerical variables using comparative representations, compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures choose appropriate forms of display or visualisation for a given type of data, justify selections and interpret displays for a given context plan and conduct statistical investigations involving the collection and analysis of different kinds of data; report findings and discuss the strength of evidence to support any conclusions |
AC9M9ST01 AC9M9ST03 AC9M9ST04 |
| They explain how sampling techniques and representation can be used to support or question conclusions or to promote a point of view | analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view |
AC9M9ST01 AC9M9ST02 |
| They determine sets of outcomes for compound events and represent these in various ways | list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes | AC9M9P01 |
| They assign probabilities to the outcomes of compound events | list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and', inclusive 'or' and exclusive 'or' |
AC9M9P01 AC9M9P02 |
| They design and conduct experiments or simulations for combined events using digital tools | list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and', inclusive 'or' and exclusive 'or' design and conduct repeated chance experiments and simulations, using digital tools to compare probabilities of simple events to related compound events, and describe results |
AC9M9P01 AC9M9P02 AC9M9P03 |
About Acotex Maths Courses
Improve Your Maths Skills.
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This isn't a passive course. It is a completely hands-on program that demands hard work. We provide all the tools and materials you need to succeed; all you need to do is follow the steps.
What You Get:
- A Complete Syllabus: This course is tightly mapped to the official curriculum, covering every aspect of the syllabus you need to know for your exams.
- Over 1,000 Exercises: Each course features more than 1,000 practice exercises to build your mastery and confidence.
- Expert Video & Text Support: Every single topic and exercise is supported by clear, easy-to-understand video and text explanations.
- Track Your Progress: Start with a self-assessment test to see your baseline. As you move through the course, you can return to the test and watch your score climb to 100%.
- Build Real Confidence: Most students lack confidence because their skills are low. This program is designed to build your skills, which will naturally boost your confidence and help you excel in your class and final examinations.
Years 9&10: Overview
Australian Curriculum Mathematics Training Course for Years 9 & 10
This combined course covers the key topics from the Australian curriculum for Years 9 and 10, preparing students for senior mathematics:
Number and Algebra (Year 9): Working with real numbers, including indices and scientific notation. Solving problems with linear equations and graphing linear and non-linear relationships.
Measurement and Geometry (Year 9): Calculating the area and volume of more complex objects. Using trigonometry (sine, cosine, tangent) to find unknown sides and angles.
Statistics and Probability (Year 9): Analysing and comparing data sets, and understanding the impact of outliers. Calculating probabilities for multi-step events.
Year 10 Topics: Expanding on algebra with quadratic equations, functions, and logarithms. Understanding circle geometry and solving advanced trigonometry problems. Applying statistical analysis and probability to real-world situations.
Years 9&10: Number & Alegbra
This strand moves from simple equations to sophisticated algebraic modelling and financial literacy.
Financial Mathematics: Solving problems involving compound interest and depreciation.
Indices and Surds: Applying all index laws to numerical and algebraic expressions, including fractional and negative indices. Understanding and working with surds.
Algebraic Techniques: Expanding and factorising complex algebraic expressions, including binomials, trinomials (quadratics), and the difference of two squares.
Equations: Solving linear equations, and progressing to quadratic equations using methods like factorising, completing the square, and the quadratic formula.
Graphing: Graphing linear equations (gradient-intercept form) and exploring non-linear graphs, with a deep focus on parabolas (finding x/y-intercepts and turning points).
Years 9&10: Measurement & Geometry
This strand introduces trigonometry and applies measurement skills to complex 3D objects.
Measurement: Calculating the surface area and volume of more complex objects, including cylinders, pyramids, cones, and spheres, as well as composite shapes.
Pythagoras' Theorem: Applying the theorem in 2D and 3D contexts to find unknown lengths.
Trigonometry: This is a major focus. It starts with establishing the basic ratios (SOH CAH TOA) to find unknown sides and angles in right-angled triangles. It then extends to non-right-angled triangles using the Sine and Cosine Rules.
Geometric Reasoning: Proving and applying properties of similar triangles and other geometric shapes to solve problems.
Years 9&10: Statistics & Probability
This strand focuses on analysing and comparing data sets and understanding more complex chance events.
Statistics: Representing and interpreting data using histograms and box plots. Analysing data by calculating and comparing the mean, median, and range, and introducing standard deviation as a measure of spread. It also covers bivariate data (scatter plots).
Probability: Calculating the probability of multi-step experiments using tree diagrams and tables. It also introduces the concepts of conditional probability and independent events.