Year 9 Mathematics lesson resources
Every Year 9 Mathematics content descriptor in the Australian Curriculum v9. Pick a descriptor to see aligned, classroom-ready resources, or generate a full lesson set from any of them in minutes.
Generate Year 9 Mathematics resources free →Algebra
- AC9M9A01Apply the exponent laws to numerical expressions with integer exponents and extend to variables
- AC9M9A02Simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
- AC9M9A03Find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
- AC9M9A04Identify 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
- AC9M9A05Use 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
- AC9M9A06Experiment 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
Measurement
- AC9M9M01Solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
- AC9M9M02Solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation
- AC9M9M03Solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles
- AC9M9M04Calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates
- AC9M9M05Use 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
Number
Probability
- AC9M9P01List all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes
- AC9M9P02Calculate relative frequencies from given or collected data to estimate probabilities of events involving “and”, inclusive “or” and exclusive “or”
- AC9M9P03Design and conduct repeated chance experiments and simulations, using digital tools to compare probabilities of simple events to related compound events, and describe results
Space
- AC9M9SP01Recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
- AC9M9SP02Apply 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
- AC9M9SP03Design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements
Statistics
- AC9M9ST01Analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians
- AC9M9ST02Analyse 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
- AC9M9ST03Represent 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
- AC9M9ST04Choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays for a given context
- AC9M9ST05Plan 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
Mathematics at other year levels
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