New Syllabus Maths Textbook 4 (7th Edn)

ISBN: 9789812379962
371 Pages

Availability: In stock



New Syllabus Maths Textbook 4 (7th Edn)

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  • New Syllabus Maths Textbook 4 (7th Edn)



New Syllabus Mathematics (NSM) is a series of textbooks specially designed to provide valuable learning experiences to engage the hearts and minds of students sitting for the GCE O level examination 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.

Interesting 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.

ICT is used where appropriate, to help students visualise and manipulate mathematical objects more easily, thus making the learning of mathematics more interactive.

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.

  • Practise Now

    At the end of each Worked Example, a similar question will be provided for immediate practice. Where appropriate, this includes further questions of progressive difficulty.

  • 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.

  • Challenge Yourself

    Optional problems are included at the end of each chapter to challenge and stretch high ability students to their fullest potential.

  • 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.

Additional Information

table of contents

Table of Contents  

  • Chapter 1: Sets
    • Introduction to Set Notations
    • Venn Diagrams, Universal Set and Complement of a Set
    • Intersection of Two Sets
    • Union of Two Sets
    • Combining Universal Set, Complement of a Set, Subset, Intersection and Union of Sets
    • Summary
    • Review Exercise 1
  • Chapter 2: Probability of Combined Events
    • Probability of Single 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
    • Review Exercise 2
  • Chapter 3: Statistical Data Analysis
    • Cumulative Frequency Table and Curve
    • Median, Quartiles, Percentiles, Range and Interquartile Range
    • Box-and-Whisker Plots
    • Standard Deviation
    • Summary
    • Review Exercise 3
  • Chapter 4: Matrices
    • Introduction
    • Addition and Subtraction of Matrices
    • Matrix Multiplication
    • Applications of Matrices
    • Summary
    • Review Exercise 4
  • Chapter 5: Vectors
    • Vectors in Two Dimensions
    • Addition of Vectors
    • Vector Subtraction
    • Scalar Multiples of a Vector
    • Expression of a Vector in Terms of Two Other Vectors
    • Position Vectors
    • Applications of Vectors
    • Summary
    • Review Exercise 5
  • Chapter 6: Revision: 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
    • Sets
    • Matrices
  • Chapter 7: Revision: Geometry and Measurement
    • Angles, Triangles and Polygons
    • Congruence and Similarity
    • Pythagoras' Theorem and Trigonometry
    • Mensuration
    • Coordinate Geometry
    • Vectors in Two Dimensions
    • Properties of Circles
  • Chapter 8: Revision: Probability and Statistics
    • Probability
    • Statistics
  • Problems in Real-World Contexts
  • Practice Now Answers
  • Answers