Maths Library

Year 9 maths, age 14 to 15

In Year 9 mathematics, Australian students extend their understanding of numbers to index laws, scientific notation, and financial mathematics involving percentage changes. They develop algebraic techniques including expanding binomials, factorising monic quadratics, solving linear equations and inequalities, and graphing linear relations. Students also apply Pythagoras' theorem, calculate surface area and volume of composite solids, and evaluate probabilities of compound events.

Start a Year 9 sheet

Equivalent levels

Topics

Number

TopicFocusCodes
Index LawsdevelopAC9M9N01, AC9M9A01
Scientific NotationdevelopAC9M9N01
Squares, Cubes and RootsintroduceAC9M9SP01

Percentages

TopicFocusCodes
Percentage Increase and DecreasedevelopAC9M9N04
Percentage of an AmountdevelopAC9M9N04

Algebra

TopicFocusCodes
Simplifying Algebraic ExpressionsdevelopAC9M9A01
Expanding bracketsintroduceAC9M9A02
Factorising algebraic expressionsintroduceAC9M9A02
Two-step and multi-step equationsdevelopAC9M9A03
Linear inequalitiesdevelopAC9M9A03
Linear graphs and gradientdevelopAC9M9A04
Cartesian coordinatesdevelopAC9M9A04

Measurement

TopicFocusCodes
Circumference and Area of CirclesdevelopAC9M9M01
Area of Triangles and ParallelogramsdevelopAC9M9M01
Speed, Distance and TimedevelopAC9M9M03

Ratio

TopicFocusCodes
Proportion and Unit RatesdevelopAC9M9M03

Geometry

TopicFocusCodes
Pythagoras' TheoremintroduceAC9M9SP01

Statistics

TopicFocusCodes
Mean, Median, Mode and RangedevelopAC9M9ST01

Probability

TopicFocusCodes
Single Event ProbabilitydevelopAC9M9P01

Curriculum items

Indicative, from Australian Curriculum v9. See the official document for the authoritative text.

  • AC9M9N01 Apply the index laws to numerical expressions with integer powers and represent numbers in scientific notation.
  • AC9M9N04 Solve financial mathematics problems involving simple interest and percentage change.
  • AC9M9A01 Apply the index laws with positive-integer exponents to simplify algebraic expressions.
  • AC9M9A02 Expand algebraic expressions, including binomial expansions, and factorise monic quadratic and linear expressions.
  • AC9M9A03 Solve linear equations and linear inequalities algebraically, displaying solutions on number lines.
  • AC9M9A04 Graph linear relations on the Cartesian plane, determining gradients and intercepts.
  • AC9M9M01 Calculate areas and perimeters of composite two-dimensional shapes involving circular components.
  • AC9M9M03 Calculate rates and solve problems involving compound units such as speed, distance, and time.
  • AC9M9SP01 Apply Pythagoras' theorem to find unknown side lengths in right-angled triangles in practical situations.
  • AC9M9ST01 Compare and analyse data sets using measures of centre and spread including the mean, median, and range.
  • AC9M9P01 Calculate relative frequencies and theoretical probabilities for two-step chance experiments.

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