IXL - Australia year 9 maths curriculum

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Skills available for Australia year 9 maths curriculum

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2012 Australian Curriculum, Version 3.0 2012 Australian Curriculum, Version 3.0

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9.1 Number and Algebra

9.1.1 Real numbers
9.1.1.1 Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems
9.1.1.2 Apply index laws to numerical expressions with integer indices
9.1.1.3 Express numbers in scientific notation
9.1.2 Money and financial mathematics
9.1.2.1 Solve problems involving simple interest
- Percents: Simple interest (Year 9 - D.6)
9.1.3 Patterns and algebra
9.1.3.2 Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
9.1.3.1 Extend and apply the index laws to variables, using positive integer indices and the zero index
9.1.4 Linear and non-linear relationships
9.1.4.1 Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software
- Coordinate graphs: Distance between two points (Year 9 - G.3)
9.1.4.2 Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software
9.1.4.3 Sketch linear graphs using the coordinates of two points and solve linear equations
9.1.4.4 Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations

9.2 Measurement and Geometry

9.2.1 Using units of measurement
9.2.1.1 Calculate the areas of composite shapes
- Geometry: Area of compound figures (Year 9 - F.3)
9.2.1.2 Calculate the surface area and volume of cylinders and solve related problems
- Geometry: Volume (Year 9 - F.6)
- Geometry: Surface area (Year 9 - F.7)
9.2.1.3 Solve problems involving the surface area and volume of right prisms
- Geometry: Volume (Year 9 - F.6)
- Geometry: Surface area (Year 9 - F.7)
9.2.1.4 Investigate very small and very large time scales and intervals
9.2.2 Geometric reasoning
9.2.2.1 Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar
9.2.2.2 Solve problems using ratio and scale factors in similar figures
9.2.3 Pythagoras and trigonometry
9.2.3.1 Investigate Pythagoras' Theorem and its application to solving simple problems involving right angled triangles
9.2.3.2 Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles
9.2.3.3 Apply trigonometry to solve right-angled triangle problems
- Geometry: Special right triangles (Year 9 - F.19)

9.3 Statistics and Probability

9.3.1 Chance
9.3.1.1 List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events
9.3.1.2 Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or'
9.3.1.3 Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians
9.3.2 Data representation and interpretation
9.3.2.1 Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources
9.3.2.2 Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including 'skewed', 'symmetric' and 'bi modal'
9.3.2.3 Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread