Maths Library

Year 8 maths, age 13 to 14

In Year 8, students expand their understanding of the real number system by working with index laws, scientific notation, and ratios and rates. They develop skills in algebraic expansion, factorisation, and solving two-step equations and linear inequalities. Geometry and measurement focus on circle formulas, Pythagoras' theorem, and straight-line graphs on the Cartesian plane.

Start a Year 8 sheet

Equivalent levels

Topics

Number

TopicFocusCodes
Index LawsdevelopAC9M8N01
Scientific NotationintroduceAC9M8N02
Place ValueintroduceAC9M8N02
Operations with IntegerssecureAC9M8N03
Order of OperationssecureAC9M8N03
Squares, Cubes and RootsintroduceAC9M8SP01

Fractions

TopicFocusCodes
Adding and Subtracting FractionssecureAC9M8N03

Ratio

TopicFocusCodes
Simplifying RatiosdevelopAC9M8N04
Sharing in a RatiodevelopAC9M8N04

Percentages

TopicFocusCodes
Percentage Increase and DecreasedevelopAC9M8N04

Algebra

TopicFocusCodes
Expanding bracketsdevelopAC9M8A01
Simplifying Algebraic ExpressionsdevelopAC9M8A01
Factorising algebraic expressionsintroduceAC9M8A02
Two-step and multi-step equationsdevelopAC9M8A03
Substitution into FormulaedevelopAC9M8A03
Linear inequalitiesintroduceAC9M8A04
Linear graphs and gradientintroduceAC9M8A05
Cartesian coordinatesintroduceAC9M8A05

Measurement

TopicFocusCodes
Circumference and Area of CirclesintroduceAC9M8M01
Speed, Distance and TimedevelopAC9M8M02
Converting Units of MeasurementdevelopAC9M8M02

Geometry

TopicFocusCodes
Pythagoras' TheoremintroduceAC9M8SP01
Transformations: Reflection, Rotation and Translationdevelop

Statistics

TopicFocusCodes
Mean, Median, Mode and Rangesecure

Probability

TopicFocusCodes
Single Event Probabilitydevelop

Curriculum items

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

  • AC9M8N01 Apply index laws with positive integer powers to simplify numerical and algebraic expressions.
  • AC9M8N02 Express numbers in scientific notation and convert between standard form and decimal notation.
  • AC9M8N03 Perform calculations with negative fractions, decimals, and mixed operations with integers.
  • AC9M8N04 Solve practical problems involving ratios, rates, and percentage change.
  • AC9M8A01 Expand algebraic expressions using the distributive law and collect like terms.
  • AC9M8A02 Factorise algebraic expressions by identifying common numeric and variable factors.
  • AC9M8A03 Solve two-step linear equations and check solutions through substitution.
  • AC9M8A04 Solve linear inequalities in one variable and graph the solutions on a number line.
  • AC9M8A05 Plot linear relationships and determine the gradient and equation of straight-line graphs.
  • AC9M8M01 Establish and apply formulas to calculate the circumference and area of circles.
  • AC9M8M02 Calculate time, distance, and speed using rates and unit conversions.
  • AC9M8SP01 Investigate and apply Pythagoras' theorem to solve problems involving right-angled triangles.
  • Perform and describe sequences of transformations including rotations, reflections, and translations.
  • Compare datasets using measures of centre and spread including mean, median, mode, and range.
  • Identify complementary events and determine probabilities of two-step compound events.

Previous: Year 7 | Next: Year 9