Outline

# !Maths-introduction

This Geogebra book is being compiled with an aim to enhance teaching and learning for teachers and students in Singapore taking the GCE O/N Level Syllabus examination.
It leverages on the collective efforts of all who create teaching and learning resources using the Geogebra tools and align the topics according to SEAB GCE Mathematics Syllabus published on their website.

## Table of Contents

### Numbers and their operations

### Ratio and proportion

### Percentage

### Rate and speed

### Algebraic expressions and formulae

### Functions and graphs

### Equation and Inequalities

- Quadratic factorisation
- Solve Simple Linear Equations
- Lineair equations with fractions
- Solving simultaneous equation
- Simultaneous Equations:Substitution
- Simultaneous Equations:Elimination
- Solving Quadratic Equations using Quadratic Formula
- Completing the Square for Quadratic Equation (II) : Solving the Equation
- Solving Quadratic Equations
- Solve linear inequality

### Set Language and Notation

### Matrices

### Problems in realworld contexts

### Angles, triangles and polygons

### Congruence and SImilarity

### Properties of circles

### Pythagoras’ theorem and trigonometry

### Mensuration

- area of a parallelogram
- Area of a Trapezium
- Area of Trapezium Demonstration
- Area of a composite shape
- 1.4 Surface Area and Volume of Prisms and Cylinders
- Net of a Cylinder
- Cylinder - Volume and Surface Area
- Total Surface Area & Volume of Cylinder (with net shown)
- Trisecting the Cube into 3 Pyramids
- Rectangular Pyramid
- Volume and Surface Area of Cone
- Volume of a Cylinder vs Cone
- volume of sphere
- Volume of Sphere Proof
- Self Review Mensuration of Composite Cylinder & Hemisphere
- Self Review Mensuration of Composite Hemisphere & Cone
- Illustration of surface area of a sphere
- Surface area of Sphere
- Find Arc Lengths and Areas of Sectors of Circles
- Arc length and area of sector(Degree)
- Arc length and area of sector (Radian)
- Area of a Circle Exploration

### Coordinate geometry

### Vectors in two dimensions

### Problems in realworld contexts

### Data analysis

- Bar Chart
- Pie Chart
- Dot Plot Tool
- Histogram Worksheet
- Stem and Leaf
- 05.2B Cumulative Frequency Polygon
- Box-and-Whisker Plot Generator
- AQR Section 17: Creating a Box and Whisker Plot
- dotplot
- Standard Deviation Formulae
- Mean, Median, and Standard Deviation
- Visual Demo of Standard Deviation
- Cum Freq, Box plot
- Median and Interquartile Range
- Center and Spread Variation Exploration
- Calculate Inter quartile range
- Bar Charts and Pie Charts
- AQR Section 16: Creating a Pie Chart From a Dot Plot

### Probability