S.3 Curriculum
Chapter 1 Linear Inequalities in One Unknown
| Section |
1.1 Basic Concept of Inequalities
A. What are Inequalities?
B. Solutions of Inequalities
C. Graphical Representations of the Solutions of Inequalities |
1.2 Basic Properties of Inequalities |
1.3 Linear Inequalities in One Unknown
A. Solving Linear Inequalities in One Unknown
B. Using Inequalities to Solve Simple Problems |
Chapter 2 Percentages (II)
| Section |
2.1 More about Percentage Increase and Decrease
A. Percentage Changes
B. Successive Percentage Changes
C. Percentage Changes in Different Parts |
2.2 Increase or Decrease at a Constant Rate
A. Increase at a Constant Rate
B. Decrease at a Constant Rate |
2.3 Interest
A. Simple Interest
B. Compound Interest |
2.4 Taxation
A. Rates
B. Property Tax
C. Salaries Tax |
Chapter 3 Special Lines and Centres in a Triangle
| Section |
3.1 Important Lines in a Triangle |
3.2 Relationship among the Three Sides of a Triangle (Non-foundation) |
3.3 Centres of a Triangle
A. Properties of the Centres of a Triangle
B. Construction of Centres of a Triangle Using Compasses and Straight Edge
(Non-foundation) |
Chapter 4 Quadrilaterals
| Section |
4.1 Quadrilaterals |
4.2 Parallelograms
A. Properties of Parallelograms
B. Identifying Parallelograms (Non-foundation) |
4.3 Rectangles, Squares, Rhombuses, Trapeziums and Kites
A. Rectangles
B. Squares
C. Rhombuses
D. Trapeziums
E. Kites |
4.4 Simple Proofs related to Parallelograms (Non-foundation) |
4.5 Mid-point Theorem (Non-foundation) |
4.6 Intercept Theorem (Non-foundation) |
Chapter 5 More about 3-D Figures
| Section |
5.1 Symmetries of Solids
A. Reflectional and Rotational Symmetries of Solids
B. Symmetries of Regular Polyhedra (Enrichment: Other Regular Polyhedra) |
5.2 Nets of Solids |
5.3 2-D Representations of Solids
A. Orthographic Views of Solids
B. Identifying Solids from their Orthographic Views
(Enrichment: Drawing Solids on Isometric Grid) |
5.4 Points, Lines and Planes in Solids
A. Relationships between Lines and Planes
B. Relationships between Two Planes |
5.5 More about Solids
A. Euler’s Formula
B. Duality of Regular Polyhedra |
Chapter 6 Measures of Central Tendency
| Section |
6.1 Introduction to Central Tendency |
6.2 Arithmetic Means
A. Arithmetic Means of Ungrouped Data
B. Arithmetic Means of Grouped Data |
6.3 Medians
A. Medians of Ungrouped Data
B. Medians of Grouped Data |
6.4 Modes and Modal Classes
A. Introduction to Modes
B. Modal Classes of Grouped Data |
6.5 Comparing Different Types of Average
A. Choosing the most Appropriate Measure of Central Tendency
B. Comparing Two Sets of Data with Different Types of Average |
6.6 Misuses of Averages and the Consequences of Misues
A. Misuses of Averages
B. Consequences of Misusing Averages |
6.7 Further Investigations on Averages (Non-foundation) |
6.8 Weighted Mean |
Chapter 7 Areas and Volumes (III)
| Section |
7.1 Pyramids
A. Volumes of Pyramids
B. Total Surface Areas of Pyramids |
7.2 Circular Cones
A. Volumes of Right Circular Cones
B. Total Surface Areas of Right Circular Cones |
7.3 Spheres
A. Volumes of Spheres
B. Surface Areas of Sheres |
7.4 Formulas for Lengths, Areas and Volumes |
7.5 Similar Shapes
A. Similar Plane Figures
B. Similar Solids |
Chapter 8 Coordinate Geometry of Straight Lines
| Section |
8.1 Distance between Any Two Points on a Plane |
8.2 Slope of a Straight Line
A. Slope
B. Inclination |
8.3 Parallel and Perpendicular Lines
A. Parallel Lines
B. Perpendicular Lines |
8.4 Point of Division
A. Mid-point
B. Internal Point of Division |
8.5 Using Analytic Approach to Prove Results Relating to Rectilinear Figures |
Chapter 9 Trigonometric Relations
| Section |
9.1 Trigonometric Ratios of Special Angles |
9.2 Finding Trigonometric Ratios by Constructing Right-Angled Triangles |
9.3 Trigonometric Identities
A. Basic Trigonometric Identities
B. Trigonometric Ratios of Complementary Angles
C. Proofs of Simple Trigonometric Identities |
Chapter 10 Application of Trigonometry
| Section |
10.1 Gradients
A. Gradient of a Road
B. Finding Gradient from a Map |
10.2 Angles of Elevation and Depression |
10.3 Bearings
A. Simple Bearings
B. Problems Involving Bearings |
10.4 Applications of Trigonometric to Rectilinear Figures |
Chapter 11 Introduction of Probability
| Section |
11.1 Probability
A. The Meaning of Probability
B. Possible Outcomes
C. Calculation of Probabilities
D. Impossible Events and Certain Events |
11.2 Further Problems on Probability
A. Listing Possible Outcomes by Tree Diagrams
B. Geometric Probability |
11.3 Experimental Probability |
11.4 Expected Value |
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