Maths Library

Year 7 maths, age 12 to 13

In Year 7, students solidify their arithmetic with integers, fractions, decimals, and percentages, and are formally introduced to index notation and algebraic terms. They learn to simplify expressions, solve linear equations, and work with ratios and rates. In measurement, geometry, and statistics, students calculate areas of triangles and parallelograms, investigate angle properties, and compute measures of central tendency.

Start a Year 7 sheet

Equivalent levels

Topics

Number

TopicFocusCodes
Index LawsintroduceAC9M7N01
Prime Numbers and Prime FactorisationintroduceAC9M7N01
Squares, Cubes and RootsintroduceAC9M7N01
Highest Common Factor and Lowest Common MultipledevelopAC9M7N02
Factors and MultiplesdevelopAC9M7N02
Operations with IntegersdevelopAC9M7N03
Negative NumbersdevelopAC9M7N03
Order of OperationsdevelopAC9M7N03

Fractions

TopicFocusCodes
Multiplying FractionsdevelopAC9M7N04
Dividing FractionsdevelopAC9M7N04
Mixed Numbers and Improper FractionsdevelopAC9M7N04

Percentages

TopicFocusCodes
Percentage Increase and DecreaseintroduceAC9M7N05
Percentage of an AmountintroduceAC9M7N05

Ratio

TopicFocusCodes
Simplifying RatiosintroduceAC9M7N07
Sharing in a RatiointroduceAC9M7N07
Proportion and Unit RatesintroduceAC9M7N07

Algebra

TopicFocusCodes
Simplifying Algebraic ExpressionsintroduceAC9M7A01
Substitution into FormulaeintroduceAC9M7A02
One-step equationsdevelopAC9M7A03
Two-step and multi-step equationsdevelopAC9M7A03
Cartesian coordinatesdevelopAC9M7A04
Number sequences and patternsdevelopAC9M7A04

Measurement

TopicFocusCodes
Area of Triangles and ParallelogramsintroduceAC9M7M01
Area of Rectangles and SquaresintroduceAC9M7M01
Volume of Rectangular PrismsdevelopAC9M7M02

Geometry

TopicFocusCodes
Calculating AnglesdevelopAC9M7SP01

Statistics

TopicFocusCodes
Mean, Median, Mode and RangedevelopAC9M7ST01

Probability

TopicFocusCodes
Single Event ProbabilitydevelopAC9M7P01

Curriculum items

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

  • AC9M7N01 Represent numbers using index notation for positive integral powers and prime factorisation.
  • AC9M7N02 Find the highest common factor and lowest common multiple of whole numbers to solve problems.
  • AC9M7N03 Perform calculations with negative numbers using the four operations and order of operations.
  • AC9M7N04 Multiply and divide fractions and mixed numbers using efficient strategies.
  • AC9M7N05 Solve problems involving percentage increase and decrease, and find percentage discounts.
  • AC9M7N07 Recognise and solve problems involving simple ratios and rates.
  • AC9M7A01 Create and simplify algebraic expressions by collecting like terms and multiplying or dividing terms.
  • AC9M7A02 Substitute integers and fractions into algebraic expressions and formulas to evaluate them.
  • AC9M7A03 Solve one-step and simple two-step linear equations using inverse operations.
  • AC9M7A04 Plot linear relationships using coordinates and tables of values.
  • AC9M7M01 Establish and apply formulas to calculate the area of triangles and parallelograms.
  • AC9M7M02 Solve problems involving the volume of right prisms and cuboids.
  • AC9M7SP01 Calculate unknown angles using properties of parallel lines intersected by a transversal and angle sums in polygons.
  • AC9M7ST01 Calculate and interpret the mean, median, mode, and range for numerical datasets.
  • AC9M7P01 Determine the sample space and calculate theoretical probabilities for single-step events.

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