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New Syllabus Maths textbook 1 (7th Edn)

ISBN: 9789812375032
448 Pages

Availability: In stock


New Syllabus Maths textbook 1 (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
    • Prime Numbers
    • Square Roots and Cube Roots
    • Highest Common Factor
  • Summary
  • Review Exercise 1
  • Chapter 2
    • Negative Numbers
    • Addition and Subtraction involving Negative Numbers
    • Multiplication and Division involving Negative Numbers
    • Rational Numbers and Real Numbers
  • Summary
  • Review Exercise 2
  • Chapter 3
    • Approximation
    • Significant Figures
    • Rounding and Truncation Errors
    • Estimation
  • Summary
  • Review Exercise 3
  • Chapter 4
    • Fundamental Algebra
    • Expansion and Simplification of Linear Expressions
    • Simplification of Linear Expressions with Fractional Coefficients
    • Factorisation
  • Summary
  • Review Exercise 4
  • Revision Exercise A
  • Chapter 5
    • Linear Equations
    • Formulae
    • Applications of Linear Equations in Real-World Contexts
    • Simple Inequalities
  • Summary
  • Review Exercise 5
  • Chapter 6
    • Cartesian Coordinates
    • Functions
    • Graphs of Linear Functions
    • Gradient of a Straight Line
    • Applications of Linear Graphs in Real-World Contexts
  • Summary
  • Review Exercise 6
  • Chapter 7
    • Number Sequences
    • General Term of a Number Sequence
    • Number Patterns
    • Number Patterns in Real-World Contexts
  • Summary
  • Review Exercise 7
  • Revision Exercise B
  • Chapter 8
    • Introduction to Percentage
    • Percentage Change and Reverse Percentage
    • Percentage in Practical Situations
  • Summary
  • Review Exercise 8
  • Chapter 9
    • Ratio
    • Rate
    • Speed
  • Summary
  • Review Exercise 9
  • Chapter 10
    • Points, Lines and Planes
    • Angles
    • Angles Formed by Two Parallel Lines and a Transversal
  • Summary
  • Review Exercise 10
  • Chapter 11
    • Triangles
    • Quadrilaterals
    • Polygons
  • Summary
  • Review Exercise 11
  • Chapter 12
    • Introduction to Geometrical Constructions
    • Perpendicular Bisectors and Angle Bisectors
    • Construction of Triangles
    • Construction of Quadrilaterals
  • Summary
  • Review Exercise 12
  • Revision Exercise C
  • Chapter 13
    • Conversion of Units
    • Perimeter and Area of Basic Plane Figures
    • Perimeter and Area of Parallelograms
    • Perimeter and Area of Trapeziums
  • Summary
  • Review Exercise 13
  • Chapter 14
    • Conversion of Units
    • Nets
    • Volume and Surface Area of Cubes and Cuboids
    • Volume and Surface Area of Prisms
    • Volume and Surface Area of Cylinders
    • Volume and Surface Area of Composite solids
  • Summary
  • Review Exercise 14
  • Chapter 15
    • Introduction to Statistics
    • Pictograms and Bar Graphs
    • Pie Charts
    • Line Graphs
    • Statistics in Real-World Contexts
    • Evaluation of Statistics
  • Summary
  • Review Exercise
  • Revision Exercise D
  • Problems in Real-World Contexts
  • Practice Now Answers
  • Answers