### Textbooks

## New Syllabus Mathematics (Normal Academic)

is a series of textbooks specially designed to provide valuable learning
experiences to engage the hearts and minds of students sitting for the
GCE N-level and O-level examinations in Mathematics. Included in the
textbooks are **Investigation, Class discussion, Thinking Time,
Journal Writing, Performance task and Problems in Real-World Contexts**
to support the teaching and learning of Mathematics.

Every chapter begins with a chapter opener which motivates students in learning the topic. lnteresting stories about mathematicians, real-life examples and applications are used to arouse students' interest and curiosity so that they can appreciate the beauty of Mathematics in their surroundings.

The use of ICT helps students to visualise and manipulate mathematical objects more easily, thus making the learning of Mathematics more interactive" Ready-to-use interactive ICT templates are avaitable at http://www. shinglee.com.sg/StudentResources/

#### Key Features:

#### Chapter Opener

Each chapter begins with a chapter opener to arouse students’ interest and curiosity in learning the topic.

#### Learning Objectives

Learning objectives help students to be more aware of what they are about to study so that they can monitor their own progress.

#### Recap

Relevant prerequisites will be revisited at the beginning of the chapter or at appropriate junctures so that students can build upon their prior knowledge, thus creating meaningful links to their existing schema.

#### Worked Examples

This shows students how to apply what they have learnt to solve related problems and how to present their working clearly. Problem-solving heuristics are included to guide students on approaching Mathematics problems. For ease of use, a suitable heading is included in brackets to distinguish between the different Worked Examples.

#### Similar Questions

A list of similar questions in the Exercise is given here to help teachers choose questions that students can do on their own.

#### Exercise

The questions are classified into three levels of difficulty – Basic, Intermediate and Advanced.

#### Summary

At the end of each chapter, a succinct summary of the key concepts is provided to help students consolidate what they have learnt.

#### Revision Exercise

This is included after every few chapters to help students assess their learning.

- Learning experiences have been infused into Investigation, Class Discussion, Thinking Time, Journal Writing and Performance Task.
#### Investigation

Activities are included to guide students to investigate and discover important mathematical concepts so that they can construct their own knowledge meaningfully.

#### Class Discussion

Questions are provided for students to discuss in class, with the teacher acting as the facilitator. The questions will assist students to learn new knowledge, think mathematically, and enhance their reasoning and oral communication skills.

#### Thinking Time

Key questions are also included at appropriate junctures to check if students have grasped various concepts and to create opportunities for them to further develop their thinking.

#### Journal Writing

Opportunities are provided for students to reflect on their learning and to communicate mathematically. It can also be used as a formative assessment to provide feedback to students to improve on their learning.

#### Performance Task

Mini projects are designed to develop research and presentation skills in the students.

This series contains marginal notes that provide tips, interesting information or games for the students. These include Problem Solving Tips, Internet Resources, Just For Fun, Attention, Information and Recall.

## Write Your Own Review

### Table of Contents ⇧

- Chapter 1: Applications of Trigonometry
- Angles of Elevation and Depression
- Bearings
- Three-Dimensional Problems
- Summary
- Chapter 2: Arc Length, Sector Area and Radian Measure
- Length of Arc
- Area of Sector and Segment
- Radian Measure
- Arc Length and Area of Sector using Radian Measure
- Summary
- Chapter 3: Probability of Combined Events
- Sample Space and Events
- Simple Combined Events, Possibility Diagrams and Tree Diagrams
- Addition Law of Probability and Mutually Exclusive Events
- Multiplication Law of Probability and Independent Events
- Summary
- Chapter 4: Cumulative Frequency
- Cumulative Frequency Table and Curve
- Median, Quartiles, Percentiles, Range and Interquartile Range
- Box-and-Whisker Plots
- Summary
- Chapter 5: Mean and Standard Deviation
- Mean
- Standard Deviation
- Summary
- Chapter 6: Geometrical Properties of Circles
- Symmetric Properties of Circles
- Angle Properties of Circles
- Summary
- Chapter 7: Numbers and Algebra
- Numbers and Percentages
- Proportion, Ratio, Rate and Speed
- Algebraic Manipulation and Formulae
- Equations and Inequalities
- Functions and Graphs
- Graphs in Practical Situations
- Chapter 8: Revision: Geometry and Measurement
- Angles, Triangles and Polygons
- Congruence and Similarity
- Pythagoras' Theorem and Trigonometry
- Mensuration
- Coordinate Geometry
- Properties of Circles
- Chapter 9: Revision: Probability and Statistics
- Probability
- Statistics
- Problems in Real-World Contexts
- Answers