HKDSE Mathematics · S1–S6 · What depends on what

The knowledge map

49 Learning Units and 59 prerequisite links, laid out so every topic sits to the right of the topics it needs. Pick a unit to see what it rests on and what it opens up.

Where these links come from

The units are EDB's own published Learning Units. Of the 59 links between them, 27 are stated by a Hong Kong textbook series — each chapter opens by naming what you must already know — and the rest are our own reading of the curriculum sequence, drawn with a dashed line so you can tell them apart. No exam or textbook content is reproduced.

Number & AlgebraMeasures, Shape & SpaceData Handling

Stated by the textbookOur own reading

Select a unit in the map to see what it needs and what it leads to.

Learning unit	Rests on	Leads to
JS-1 Basic Computation	—	Approximate Values and Numerical Estimation · Directed Numbers · Rates, Ratios and Proportions · Using Percentages
JS-10 Laws of Integral Indices	—	Exponential and Logarithmic Functions
JS-16 Arc Lengths and Areas of Sectors	—	Basic Properties of Circles
JS-17 3-D Figures	—	Mensuration · More about Trigonometry
JS-19 Angles and Parallel Lines	—	Basic Properties of Circles · Congruent Triangles · Polygons
JS-26 Rectangular Coordinate System	—	Equations of Circles · Equations of Straight Lines · More about Graphs of Functions · More about Trigonometry
JS-28 Organisation of Data	—	Presentation of Data
JS-31 Probability	—	More about Probability · Permutations and Combinations
JS-5 Using Percentages	Basic Computation	Variations
JS-6 Rates, Ratios and Proportions	Basic Computation	Variations
JS-20 Polygons	Angles and Parallel Lines	Quadrilaterals
JS-3 Approximate Values and Numerical Estimation	Basic Computation	Errors in Measurement
JS-2 Directed Numbers	Basic Computation	Algebraic Expressions · Rational and Irrational Numbers
JS-21 Congruent Triangles	Angles and Parallel Lines	Basic Properties of Circles · Centres of Triangles · Similar Triangles
CP-10 Equations of Straight Lines	Rectangular Coordinate System	Equations of Circles · Loci
CP-3 Exponential and Logarithmic Functions	Laws of Integral Indices	—
JS-18 Mensuration	3-D Figures	—
JS-29 Presentation of Data	Organisation of Data	Measures of Central Tendency · Measures of Dispersion
CP-15 Permutations and Combinations	Probability	—
CP-16 More about Probability	Probability	—
JS-23 Quadrilaterals	Polygons	Basic Properties of Circles
JS-4 Rational and Irrational Numbers	Directed Numbers	Pythagoras' Theorem
JS-15 Errors in Measurement	Approximate Values and Numerical Estimation	—
JS-22 Similar Triangles	Congruent Triangles	Trigonometry
JS-7 Algebraic Expressions	Directed Numbers	Arithmetic and Geometric Sequences and their Summations · Formulae · Functions and Graphs · Linear Equations in One Unknown · Polynomials
JS-24 Centres of Triangles	Congruent Triangles	—
CP-12 Loci	Equations of Straight Lines	—
JS-30 Measures of Central Tendency	Presentation of Data	Measures of Dispersion · Uses and Abuses of Statistics
CP-11 Basic Properties of Circles	Angles and Parallel Lines · Arc Lengths and Areas of Sectors · Congruent Triangles · Quadrilaterals	Equations of Circles
JS-25 Pythagoras' Theorem	Rational and Irrational Numbers	More about Trigonometry · Trigonometry
CP-2 Functions and Graphs	Algebraic Expressions	More about Graphs of Functions · More about Polynomials
CP-7 Arithmetic and Geometric Sequences and their Summations	Algebraic Expressions	—
JS-8 Linear Equations in One Unknown	Algebraic Expressions	Linear Equations in Two Unknowns · Linear Inequalities in One Unknown
JS-11 Polynomials	Algebraic Expressions	Identities · More about Polynomials
JS-13 Formulae	Algebraic Expressions	—
CP-17 Measures of Dispersion	Measures of Central Tendency · Presentation of Data	Uses and Abuses of Statistics
JS-9 Linear Equations in Two Unknowns	Linear Equations in One Unknown	More about Equations · Variations
CP-9 More about Graphs of Functions	Functions and Graphs · Rectangular Coordinate System	—
JS-27 Trigonometry	Pythagoras' Theorem · Similar Triangles	More about Trigonometry
JS-12 Identities	Polynomials	More about Polynomials · Quadratic Equations in One Unknown
JS-14 Linear Inequalities in One Unknown	Linear Equations in One Unknown	Inequalities and Linear Programming
CP-18 Uses and Abuses of Statistics	Measures of Central Tendency · Measures of Dispersion	—
CP-6 Variations	Linear Equations in Two Unknowns · Rates, Ratios and Proportions · Using Percentages	—
CP-1 Quadratic Equations in One Unknown	Identities	Equations of Circles · More about Equations
CP-14 More about Trigonometry	3-D Figures · Pythagoras' Theorem · Rectangular Coordinate System · Trigonometry	—
CP-4 More about Polynomials	Functions and Graphs · Identities · Polynomials	—
CP-8 Inequalities and Linear Programming	Linear Inequalities in One Unknown	—
CP-5 More about Equations	Linear Equations in Two Unknowns · Quadratic Equations in One Unknown	—
CP-13 Equations of Circles	Basic Properties of Circles · Equations of Straight Lines · Quadratic Equations in One Unknown · Rectangular Coordinate System	—

Learning unit

Rests on

Leads to

JS-1 Basic Computation

—

Approximate Values and Numerical Estimation · Directed Numbers · Rates, Ratios and Proportions · Using Percentages

JS-10 Laws of Integral Indices

—

Exponential and Logarithmic Functions

JS-16 Arc Lengths and Areas of Sectors

—

Basic Properties of Circles

JS-17 3-D Figures

—

Mensuration · More about Trigonometry

JS-19 Angles and Parallel Lines

—

Basic Properties of Circles · Congruent Triangles · Polygons

JS-26 Rectangular Coordinate System

—

Equations of Circles · Equations of Straight Lines · More about Graphs of Functions · More about Trigonometry

JS-28 Organisation of Data

—

Presentation of Data

JS-31 Probability

—

More about Probability · Permutations and Combinations

JS-5 Using Percentages

Basic Computation

Variations

JS-6 Rates, Ratios and Proportions

Basic Computation

Variations

JS-20 Polygons

Angles and Parallel Lines

Quadrilaterals

JS-3 Approximate Values and Numerical Estimation

Basic Computation

Errors in Measurement

JS-2 Directed Numbers

Basic Computation

Algebraic Expressions · Rational and Irrational Numbers

JS-21 Congruent Triangles

Angles and Parallel Lines

Basic Properties of Circles · Centres of Triangles · Similar Triangles

CP-10 Equations of Straight Lines

Rectangular Coordinate System

Equations of Circles · Loci

CP-3 Exponential and Logarithmic Functions

Laws of Integral Indices

—

JS-18 Mensuration

3-D Figures

—

JS-29 Presentation of Data

Organisation of Data

Measures of Central Tendency · Measures of Dispersion

CP-15 Permutations and Combinations

Probability

—

CP-16 More about Probability

Probability

—

JS-23 Quadrilaterals

Polygons

Basic Properties of Circles

JS-4 Rational and Irrational Numbers

Directed Numbers

Pythagoras' Theorem

JS-15 Errors in Measurement

Approximate Values and Numerical Estimation

—

JS-22 Similar Triangles

Congruent Triangles

Trigonometry

JS-7 Algebraic Expressions

Directed Numbers

Arithmetic and Geometric Sequences and their Summations · Formulae · Functions and Graphs · Linear Equations in One Unknown · Polynomials

JS-24 Centres of Triangles

Congruent Triangles

—

CP-12 Loci

Equations of Straight Lines

—

JS-30 Measures of Central Tendency

Presentation of Data

Measures of Dispersion · Uses and Abuses of Statistics

CP-11 Basic Properties of Circles

Angles and Parallel Lines · Arc Lengths and Areas of Sectors · Congruent Triangles · Quadrilaterals

Equations of Circles

JS-25 Pythagoras' Theorem

Rational and Irrational Numbers

More about Trigonometry · Trigonometry

CP-2 Functions and Graphs

Algebraic Expressions

More about Graphs of Functions · More about Polynomials

CP-7 Arithmetic and Geometric Sequences and their Summations

Algebraic Expressions

—

JS-8 Linear Equations in One Unknown

Algebraic Expressions

Linear Equations in Two Unknowns · Linear Inequalities in One Unknown

JS-11 Polynomials

Algebraic Expressions

Identities · More about Polynomials

JS-13 Formulae

Algebraic Expressions

—

CP-17 Measures of Dispersion

Measures of Central Tendency · Presentation of Data

Uses and Abuses of Statistics

JS-9 Linear Equations in Two Unknowns

Linear Equations in One Unknown

More about Equations · Variations

CP-9 More about Graphs of Functions

Functions and Graphs · Rectangular Coordinate System

—

JS-27 Trigonometry

Pythagoras' Theorem · Similar Triangles

More about Trigonometry

JS-12 Identities

Polynomials

More about Polynomials · Quadratic Equations in One Unknown

JS-14 Linear Inequalities in One Unknown

Linear Equations in One Unknown

Inequalities and Linear Programming

CP-18 Uses and Abuses of Statistics

Measures of Central Tendency · Measures of Dispersion

—

CP-6 Variations

Linear Equations in Two Unknowns · Rates, Ratios and Proportions · Using Percentages

—

CP-1 Quadratic Equations in One Unknown

Identities

Equations of Circles · More about Equations

CP-14 More about Trigonometry

3-D Figures · Pythagoras' Theorem · Rectangular Coordinate System · Trigonometry

—

CP-4 More about Polynomials

Functions and Graphs · Identities · Polynomials

—

CP-8 Inequalities and Linear Programming

Linear Inequalities in One Unknown

—

CP-5 More about Equations

Linear Equations in Two Unknowns · Quadratic Equations in One Unknown

—

CP-13 Equations of Circles

Basic Properties of Circles · Equations of Straight Lines · Quadratic Equations in One Unknown · Rectangular Coordinate System

—