New Syllabus Maths Textbook 2 (7th Edn)

ISBN: 9789812376770
423 Pages

Availability: In stock



New Syllabus Maths Textbook 2 (7th Edn)

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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
    • Direct Proportion
    • Algebraic and Graphical Representations of Direct Proportion
    • Other Forms of Direct Proportion
    • Inverse Proportion
    • Algebraic and Graphical Representations of Inverse Proportion
    • Other forms of Inverse Proportion
  • Summary
  • Review Exercise 1
  • Chapter 2
    • Horizontal and Vertical Lines
    • Graphs of Linear Equations in the form ax+by=k
    • Solving Simultaneous Linear Equations Using Graphical Method
    • Solving Simultaneous Equations Using Algebraic Methods
    • Applications of Simultaneous Equations in Real-World Context
  • Summary
  • Review Exercise 2
  • Chapter 3
    • Quadratic Expressions
    • Expansion and Simplification of Quadratic Expressions
    • Factorisation of Quadratic Expressions
  • Summary
  • Review Exercise 3
  • Chapter 4
    • Expansion and Factorisation of Algebraic Expressions
    • Expansion Using Special Algebraic Identities
    • Factorisation Using Special Algebraic Identities
    • Factorisation by Grouping
  • Summary
  • Review Exercise 4
  • Revision Exercise A
  • Chapter 5
    • Solving Quadratic Equations by Factorisation
    • Applications of Quadratic in Real-World Contexts
    • Graphs of Quadratic Functions
  • Summary
  • Review Exercise 5
  • Chapter 6
    • Algebraic Fractions
    • Multiplication and Division of Algebraic Fractions
    • Addition and Subtraction of Algebraic Fractions
    • Manipulation of Algebraic Formulae
  • Summary
  • Review Exercise 6
  • Chapter 7
    • Congruent Figures
    • Similar Figures
    • Similarity, Enlargement and Scale Drawings
  • Summary
  • Review Exercise 7
  • Revision Exercise B
  • Chapter 8
    • Pythagoras' Theorem
    • Applications of Pythagoras' Theorem in Real-World Contexts
    • Converse of Pythagoras' Theorem
  • Summary
  • Review Exercise 8
  • Chapter 9
    • Trigonometric Ratios
    • Applications of Trigonometric Ratios to Find Unknown Sides of Right-Angled Triangles
    • Applications of Trigonometric Ratios to Find Unknown Angles in Right-Angled Triangles
    • Applications of Trigonometric Ratios in Real-World Contexts
  • Summary
  • Review Exercise 9
  • Chapter 10
    • Volume and Surface Area of Pyramids
    • Volume and Surface Area of Cones
    • Volume and Surface Area of Spheres
    • Volume and Surface Area of Composite Figures
  • Summary
  • Review Exercise 10
  • Revision Exercise C
  • Chapter 11
    • Introduction to Probability
    • Sample Space
    • Probability of Single Events
    • Further Examples on Probability of Single Events
  • Summary
  • Review Exercise 11
  • Chapter 12
    • Statistical Diagrams
    • Dot Diagrams
    • Stem-and-Leaf Diagrams
    • Histograms for Ungrouped Data
    • Histograms for Grouped Data
  • Summary
  • Review Exercise 12
  • Chapter 13
    • Mean
    • Median
    • Mode
    • Mean, Median and Mode
  • Summary
  • Review Exercise 13
  • Revision Exercise D
  • Problems in Real-World Contexts
  • Practice Now Answers
  • Answers