Junior Secondary Mathematics

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Mathematics still life with a coordinate graph on grid paper, a compass and set square, wooden solid models, a calculator and a piece of chalk.

Secure number foundations, bridge arithmetic and algebra, and develop mathematical reasoning.

  • Trace errors to primary foundations or new junior-secondary concepts
  • Connect numerical, symbolic, graphical and verbal representations to build algebraic thinking
  • Understand how geometrical properties and measurement relationships arise instead of memorising formulae
  • Use variations and error classification to build habits for senior-secondary mathematics
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Course highlights

Foundation diagnosis Separate computational problems from conceptual gaps Use working and errors to locate weaknesses in number sense, fractions, ratio, symbols or shapes.
Trace prerequisites
Check fractions, decimals, percentages, negative numbers and basic operations.
Classify errors
Separate conceptual, procedural, symbolic, interpretation and calculation problems.
Short repair and retest
Target one gap and use a variation to confirm transfer.
 Algebraic thinking Understand what symbols represent instead of moving terms mechanically Move from numerical patterns to expressions, equations, formulae and function graphs.
From number to symbol
Use tables, graphs and words to explain variables and expressions.
Equality and equations
Understand balance, inverse operations and verification rather than memorised transposition.
Multiple representations
Translate among contexts, equations, coordinates and graphs.
 Geometry and measurement Understand geometrical relationships through diagrams and reasoning Identify properties and given conditions before choosing measurement, construction or proof methods.
Decompose diagrams
Break composite figures into known parts and mark lengths, angles and relationships.
Properties and reasons
Explain conditions for congruence, similarity, Pythagoras and angle relationships.
Measurement checks
Use units, estimation and scale to test length, area and volume results.
 Application and revision Turn written problems into mathematical models Organise data, define unknowns, select methods and check whether an answer fits the context.
Words to relationships
Identify quantities, units, constraints and the target before forming an expression or equation.
Communicate working
Keep decisive reasoning and intermediate results so errors can be traced.
Reuse errors
Record the cause and future checkpoint, then redo a changed version.
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Course content

Numbers and number systems
Directed numbers, fractions, decimals, percentages, ratios, indices and estimation.
Expressions and formulae
Algebraic operations, factorisation, identities, changing formulae and substitution.
Equations and inequalities
Linear equations, simultaneous equations, inequalities and modelling.
Coordinates and graphs
Coordinates, straight lines, variable relationships, graph reading and representation.
Geometry and measurement
Angles, congruence, similarity, Pythagoras, construction, area, surface area and volume.
Data handling
Statistical graphs, averages, comparing data and misleading presentation.
Probability
Simple probability, sample spaces, experimental probability and basic event relationships.

Course fees

4 lessons per month 90 minutes per lesson

Fees by level

S1-S2
HK$1,200/ 4 lessons
S3
HK$1,380/ 4 lessons
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