Year 9: Victorian Curriculum 2.0
Listed Mathematics content descriptions at Level 9, in the words of the Victorian Curriculum and Assessment Authority (VCAA), with the practice on this site that covers it. Checked against the source on 3 September 2026.
- 24content descriptions
- 125skills mapped
- 92%have practice
Coverage is the percentage of listed content descriptions with at least one linked practice skill; it does not measure how fully every part of an entry is practised. A skill can practise more than one content description, so some appear more than once below.
Number
VC2M9N01recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers
- Identify rational and irrational numbers
- Recurring decimals
- Simplification of square and cubic roots
- Simplify fractions
- Prime numbers
- Prime numbers within a range of numbers
- Prime factorisation
- Highest common factor and lowest common multiple
- Level 1: Addition and subtraction of negative numbers
- Level 2: Addition and subtraction of negative numbers
- Evaluate percentages
Algebra
VC2M9A01apply the exponent laws to numerical expressions with integer exponents and the zero exponent, and extend to variables
VC2M9A02simplify algebraic expressions, apply the distributive law to expand algebraic expressions including binomial products, and factorise monic quadratic expressions
- Level 1: Simplification and expansion of algebraic expressions
- Level 2: Simplification and expansion of algebraic expressions
- Level 3: Simplification and expansion of algebraic expressions
- Level 1: Factorisation
- Level 2: Factorisation
- Factorise difference of squares
- Level 1: Factorising polynomials
- Level 2: Factorising polynomials
- Level 3: Factorising polynomials
- Level 1: Simplification of rational algebraic expressions
- Level 2: Simplification of rational algebraic expressions
- Level 1: Addition and subtraction of rational expressions
- Level 2: Addition and subtraction of rational expressions
- Level 3: Addition and subtraction of rational expressions
- Level 1: Coefficients and constants
- Level 2: Coefficients and constants
- Level 3: Coefficients and constants
- Symbolic substitution in algebraic expressions
VC2M9A03sketch linear graphs of equations in various algebraic forms, using the coordinates of 2 points, and solve linear equations
VC2M9A04find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
VC2M9A05identify and graph quadratic functions, solve quadratic equations graphically and numerically, and use null factor law to solve monic quadratic equations
VC2M9A06use mathematical modelling to solve applied problems involving change, including financial contexts involving simple interest
VC2M9A07experiment with the effects of the variation of parameters on graphs of related functions, using digital tools
Measurement
VC2M9M01solve problems involving the volume and surface area of right prisms, cylinders and composite objects using appropriate units
- Calculate the properties of basic three-dimensional shapes
- Level 1: Calculate the surface area of a pyramid
- Level 2: Calculate the surface area of a pyramid
- Calculate the area of a compound shape
- Calculate the properties of basic planar shapes
- Level 2: Calculate the properties of basic planar shapes
- Level 1: Calculate the properties of compound planar shapes
- Level 1: Circumference of a circle
- Level 2: Circumference of a circle
- Calculate the area of a triangle using Heron's formula
VC2M9M02solve problems involving very small and very large measurements, timescales and intervals expressed in scientific notation
VC2M9M03solve spatial problems, applying angle properties, scale, similarity, ratio, Pythagoras' theorem and trigonometry in right-angled triangles
- Pythagoras theorem
- Similar triangles
- Congruent triangles
- Level 1: Find the unknown angle
- Level 2: Find the unknown angle
- Level 3: Find the unknown angle
- Level 1: Solve an equation to find the unknown angle in a triangle
- Level 2: Solve an equation to find the unknown angle in a triangle
- Parallel and non-parallel lines
- Trigonometric functions and triangles
- Evaluate trigonometric functions
- Calculations involving bearings
- Properties of polygons
- Deciding if a polygon is convex or concave
- Level 1: Count composite shapes
- Level 2: Count composite shapes
VC2M9M04calculate and interpret absolute, relative and percentage errors in measurements
VC2M9M05use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale
Space
VC2M9SP01recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
VC2M9SP02apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate
VC2M9SP03design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems
- Level 1: Rotation of a point on a grid
- Level 2: Rotation of a point on a grid
- Level 1: Rotation of a line on a grid
- Level 1: Rotation of a triangle on a grid
- Level 2: Rotation of a triangle on a grid
- Level 1: Transformation of a points on a plane
- Level 2: Transformation of a points on a plane
- Level 1: Transformation of a shape on a grid
- Level 1: Object reflection and rotation
- Level 2: Object reflection and rotation
Statistics
VC2M9ST01analyse reports of surveys in digital media and elsewhere for information on how data was obtained around everyday questions and issues
No practice for this one yet.
VC2M9ST02analyse how different sampling methods, and different samples using the same method, can affect the results of surveys
No practice for this one yet.
VC2M9ST03represent the distribution of multiple data sets for numerical variables using comparative representations such as back-to-back stem-and-leaf plots and histograms
VC2M9ST04choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays
VC2M9ST05plan and conduct statistical investigations involving the collection and analysis of different kinds of data
Probability
VC2M9P01list all outcomes for two-step chance experiments both with and without replacement, using lists, tree diagrams, tables or arrays
VC2M9P02calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and', inclusive 'or' and exclusive 'or'
VC2M9P03design and conduct repeated chance experiments and simulations using digital tools to estimate probabilities that cannot be determined exactly
Other Year 9 skills
Year 9 skills not currently linked to an entry on this page. These may include revision, extension practice, or skills still awaiting a curriculum mapping.
Level 1: Find integer solutions to linear equations- Level 2: Find integer solutions to linear equations
- Level 1: Find the right arithmetic operations
- Level 2: Find the right arithmetic operations
- Level 3: Find the right arithmetic operations
- Level 1: Finding the missing number in a pattern
- Level 2: Finding the missing number in a pattern
- Count occurrence of digits
- How many numbers have a given set of digits
- Numeric sequences from geometric shapes
- Prime factor decomposition
- Special numbers
- Sudoku