Maths Library

Year 6 maths, age 11 to 12

In Year 6 of the Australian Curriculum, pupils extend their knowledge of the number system to include prime and composite numbers, integers, and operations involving decimals and fractions. They explore percentages, find unknown values in simple mathematical equations, and apply rules to patterns. Measurement and geometry focus on calculating the perimeter and area of rectangles, converting between common units, working with angles, and interpreting data displays.

Start a Year 6 sheet

Equivalent levels

Topics

Number

TopicFocusCodes
Prime Numbers and Prime FactorisationdevelopAC9M6N01
Factors and MultiplesdevelopAC9M6N01
Squares, Cubes and RootsdevelopAC9M6N01
Negative NumbersintroduceAC9M6N02
Comparing and Ordering NumbersintroduceAC9M6N02
Order of OperationsdevelopAC9M6A02

Fractions

TopicFocusCodes
Adding and Subtracting FractionsdevelopAC9M6N03
Equivalent FractionsdevelopAC9M6N03
Fractions of a QuantitydevelopAC9M6N04
Fractions, Decimals and PercentagesdevelopAC9M6N07

Decimals

TopicFocusCodes
Adding and Subtracting DecimalsdevelopAC9M6N05
Multiplying DecimalsdevelopAC9M6N05
Dividing DecimalsdevelopAC9M6N05

Percentages

TopicFocusCodes
Percentage of an AmountdevelopAC9M6N07

Algebra

TopicFocusCodes
Number sequences and patternsdevelopAC9M6A01
One-step equationsdevelopAC9M6A02
Cartesian coordinatesintroduceAC9M6SP02

Measurement

TopicFocusCodes
Converting Units of MeasurementdevelopAC9M6M01
PerimeterdevelopAC9M6M02
Area of Rectangles and SquaresdevelopAC9M6M02
Volume of Rectangular PrismsdevelopAC9M6M03

Geometry

TopicFocusCodes
Types of AnglesdevelopAC9M6SP01
Calculating AnglesdevelopAC9M6SP01
Transformations: Reflection, Rotation and TranslationintroduceAC9M6SP02

Statistics

TopicFocusCodes
Bar Graphs and Column GraphsdevelopAC9M6ST01
Line GraphsdevelopAC9M6ST01

Probability

TopicFocusCodes
Single Event ProbabilitydevelopAC9M6P01

Curriculum items

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

  • AC9M6N01 Identify and describe properties of prime, composite, square, and triangular numbers.
  • AC9M6N02 Recognise, represent, and order integers on a number line in practical contexts.
  • AC9M6N03 Solve problems involving addition and subtraction of fractions with related or unrelated denominators.
  • AC9M6N04 Calculate a fraction of a quantity using efficient multiplicative strategies.
  • AC9M6N05 Add and subtract decimals, and multiply and divide decimals by powers of 10 and one-digit whole numbers.
  • AC9M6N07 Convert between common fractions, decimals, and percentages to compare and order values.
  • AC9M6A01 Create and describe rules for number patterns and use them to find missing terms.
  • AC9M6A02 Find unknown values in numerical equations using the order of operations and inverse relationships.
  • AC9M6M01 Convert between standard metric units of length, mass, and capacity.
  • AC9M6M02 Establish and apply formulas to solve problems involving the perimeter and area of rectangles.
  • AC9M6M03 Calculate the volume of rectangular prisms using metric units.
  • AC9M6SP01 Investigate and calculate combinations of angles on a straight line, at a point, and vertically opposite angles.
  • AC9M6SP02 Plot and locate points in all four quadrants of the Cartesian coordinate plane.
  • AC9M6ST01 Interpret and compare data displayed in side-by-side column graphs and line graphs.
  • AC9M6P01 Describe probabilities using fractions, decimals, and percentages on a scale from 0 to 1.

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