1.1  Rates

1.2  Ratios
       A. Basic Concept of Ratios
       B. Ratios of Three Quantities

1.3  Applications of Ratios
       A. Similar Figures
       B. Scale Drawings

2.1  Meaning of Identities

2.2  Some Important Algebraic Identities
       A. Difference of Two Squares
       B. Perfect Square

2.3  Factorization of Simple Algebraic Expressions
       A. By Taking Out the Common Factors
       B. By Grouping Terms Method
       C. By Using Identities

3.1  Manipulation of Simple Algebraic Fractions
       A. Multiplication and Division of Algebraic Fractions
       B. Addition and Subtraction of Algebraic Fractions

3.2  Formulas and their Manipulations
       A. Formula and Substitution
       B. Change of Subject

4.1  Factorization by Cross-method
       A. Quadratic Polynomials in One Variable x2 + qx + r
       B. Quadratic Polynomials in One Variable px2 + qx + r
       C. Quadratic Polynomials in Two Variables

4.2  Sum and Difference of Two Cubes (Non-foundation)

5.1  Significant Figures
       A. Meaning of Significant Figures
       B. Significant Figures and Rounding Off

5.2  Errors
       A. Absolute Error
       B. Maximum Absolute Error
       C. Relative Error
       D. Percentage Error

6.1  Angles and Sides of a Triangle
       A. Angle Sum of a Triangle and Exterior Angle of a Triangle
       B. Properties of Isosceles Triangles and Equilateral Triangles
       C. Identifying Isosceles Triangles and Equilateral Triangles

6.2  Angles of a Polygon
       A. Sum of Interior Angles of a Polygon
       B. Sum of Exterior Angles of a Polygon

6.3  Tessellation

7.1  Frequency Distribution and its Graphical Representation
       A. Review on Histograms
       B. Frequency Polygons and Curves
       C. Cumulative Frequency Polygons and Curves

7.2  Choosing an Appropriate Diagram to Present Data

7.3  Abuses of Statistical Diagrams

8.1  Linear Equations in Two Unknowns and their Graphs
       A. Basic Concept of Linear Equations in Two Unknowns
       B. Graphs of Linear Equations in Two Unknowns

8.2  Simultaneous Linear Equations in Two Unknowns and their Solutions
       A. Graphical Method
       B. Algebraic Methods
       C. Some Special Simultaneous Linear Equations in Two Unknowns (Enrichment)

8.3  Applications of Simultaneous Linear Equations in Two Unknowns

9.1  Laws of Positive Integral Indices
       A. Review on the Laws of Indices for am ´ an and  am ¸ an
       B. Laws of Indices for (am)n
       C. Laws of Indices for (ab)n and

9.2  Zero and Negative Integral Indices

9.3  Scientific Notation
       A. Meaning of Scientific Notation
       B. Applications of Scientific Notation

9.4  Different Numeral Systems
       A. Denary System
       B. Binary System
       C. Hexadecimal System
       D. Conversions between Denary System and Other Numeral Systems (Non-foundation)

10.1  Basic Concept of Deductive Reasoning

10.2  Deductive Geometry
          A. Euclid and ‘Elements’
          B. Definition, Axiom and Theorem

10.3  Deductive Proofs about Angles related to Lines and Triangles
          A. Angles related to Lines
          B. Angles related to Triangles

10.4  Deductive Proofs about Congruent, Isosceles and Similar Triangles
          A. Congruent Triangles
          B. Isosceles Triangles
          C. Similar Triangles

10.5  Construction Using Compasses and Straight Edge
          A. Copying an Angle
          B. Construction of Angle Bisector
          C. Construction of Perpendicular Bisector
          D. Construction of Special Angles: 30°, 45°, 60° and 90°
          E. Construction of Special Regular Polygons (Non-foundation)

11.1 Square Roots and Surds
          A. Square Roots
          B. Surds
          C. Estimating the Values of Square Roots

11.2  Rational and Irrational Numbers
          A. Rational Numbers
          B. Irrational Numbers

11.3  Manipulation of Surds
          A. Properties of Surds
          B. Rationalization of Denominators
          C. Surd in its Simplest Form
          D. Addition, Subtraction, Multiplication and Division of Surds (Non-foundation)

12.1  Pythagoras’ Theorem and its Proofs
          A. Pythagoras’ Theorem
          B. Proofs of Pythagoras’ Theorem
          C. Surds and Irrational Numbers (Non-foundation topics: The First Irrational Numbers:)

12.2  Converse of Pythagoras’ Theorem

12.3  Applications of Pythagoras’ Theorem and its Converse

13.1  Circles
          A. Circumferences of Circles
          B. Areas of Circles

13.2  Arcs and Sectors
A. Lengths of Arcs
B. Areas of Sectors

13.3  Cylinders
A. Volumes of Cylinders
B. Total Surface Areas of Cylinders

14.1  Introduction of Trigonometric Ratios

14.2  Sine Ratio
          A. Concept of Sine Ratio
          B. Finding Sine Ratio Using Calculators
          C. Using Sine Ratio to Find Unknowns in Right-angled Triangles

14.3  Cosine Ratio
          A. Concept of Cosine Ratio
          B. Finding Cosine Ratio Using Calculators
          C. Using Cosine Ratio to Find Unknowns in Right-angled Triangles

14.4  Tangent Ratio
          A. Concept of Tangent Ratio
          B. Finding Tangent Ratio Using Calculators
          C. Using Tangent Ratio to Find Unknowns in Right-angled Triangles

14.5  Simple Applications of Trigonometric Ratios
          A. Solving Problems Involving Plane Figures
          B. Solving Real-life Problems

14.6  Trigonometric Ratios on a Unit Circle