Year 7 Mathematics

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14 Lessons

Year 7 Mathematics Topics

Number and Algebra of Year 7 Mathematics

Number and Place Value

  • Investigate index notation and represent whole numbers as product of powers of prime numbers.
  • Investigate and use square roots of perfect square numbers.
  • Apply the associative, commutative and distributive laws to aid mental and written computation.
  • Compare, order, order, add and subtract integers.

Real Numbers

  • Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line.
  • Solve problems involving addition and subtraction of fractions, including those with unrelated denominators.
  • Multiply and divide fractions and decimals using written strategies and digital technologies.
  • Express one quantity as a fraction of another, with and without the use of digital technologies.
  • Round decimals to a specified number of decimal places.
  • Connect fractions, decimals and percentages and carry out simple conversions.
  • Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.
  • Recognise and solve problems involving simple ratios.

Money and Financial Mathematics

  • Investigate and calculate ‘best buys’, with and without digital technologies.

Patterns and Algebra

  • Introduce the concept of variables as a way of representing numbers using letters.
  • Create algebraic expressions and evaluate them by substituting a given value for each variable.
  • Extend and apply the laws and properties of arithmetic to algebraic terms and expressions.

Linear and non-linear Relationships

  • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point.
  • Solve simple linear equations.
  • Investigate, interpret and analyse graphs from authentic data.

Measurement and Geometry of Year 7 Mathematics

Using Units of Measurement

  • Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving.
  • Calculate volumes of rectangular prisms.


  • Draw different views of prisms and solids formed from combinations of prisms.

Location and Transformation

  • Describe translations, reflections in an axis, and rotations of multiples of 90 degrees on the Cartesian plane using coordinates. Identify line and rotational symmetries.

Geometric Reasoning

  • Use the language, rotation and conventions of geometry.
  • Recognise the geometric properties of angles at a point.
  • Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal. Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning.
  • Classify triangles according to their side and angle properties and describe quadrilaterals.
  • Demonstrate that the angle sum of a triangle is 180 degrees and use this to find the angle sum of a quadrilateral.
  • Use angle properties and relationships to solve problems with appropriate reasoning.

Statistics and Probability of Year 7 Mathematics


  • Construct sample spaces for single-step experiments with equally likely outcomes.
  • Assign probabilities to the outcomes of events and determine probabilities for events.

Data Representation and Interpretation

  • Identify and investigate issues involving numerical data collected from primary and secondary sources.
  • Construct and compare a range of data displays including stem-and-leaf plots and dot plots.
  • Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data.
  • Describe and interpret data displays using median, mean and range.
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Operating Integers

Whole Numbers (Free)

Divisibility Tests

Factors and Multiples



Algebraic Rules


Metric System




Analysing Data