



New Elementary Mathematics Syllabus D (author  Sin Kwai Meng; General Editor  Dr Wong Khoon Yoong) is a fouryear series of secondary course books with accompanying workbooks and quick review guides. (In Singapore, the term "elementary" refers to "the basics" of higher math, i.e., algebra, geometry, trigonometry, etc.) Throughout the series, emphasis is placed on the development of better understanding of mathematical concepts and their applications, as well as on proficiency in problem solving, mathematical reasoning and higher order thinking. To facilitate this, the series has included the following:
 investigative work
 communication skills in mathematics and
 appropriate computation and estimation skills
 mental calculation
 problemsolving heuristics
Features of the series:
 Exercises
Numerous exercises are provided for students of varied abilities and the problems are graded. The more difficult questions are marked with asterisks (*).
 Class Activity
 Chapter Review
At the end of every chapter, there is a Chapter review which recapitulates the key concepts and skills learnt.
 Challenger
This section, immediately after the Chapter Review, is specially designed to provide interesting and challenging problems on the particular chapter topic for more able and adventurous students.
 Problem Solving
Problem Solving exercises are given to enable students to practice their problemsolving skills.
 Revision (Review) Exercises
Sets of revision exercises are also included at appropriate intervals to provide students with the necessary practice and reinforcement. Constant revision is very important for skill mastery.
 Miscellaneous Exercises
These exercises are given after several chapters. They provide students with many questions to apply the various concepts learnt.
 Investigation
Problems in the Investigation sections provide opportunities for students to explore, experiment with and discuss mathematical ideas.
 Mathstory
The history of mathematics is given at the side margin where appropriate. This section is meant to enrich students with the knowledge of how mathematics has developed over the years.
 Assessment Papers
It is hoped that this series will help students gain confidence in and have better insights into the subject, and above all, that students will look upon Mathematics as something exciting, rewarding and useful.
The textbook provides answer keys to Exercises, Revision Exercises, Miscellaneous Exercises and Assessment Papers.
Above is an extract from the preface of the New Elementary Mathematics Series (reproduced with the permission of the publishers).
There is an optional workbook for this series.
New Elementary Mathematics 1
1. Whole Numbers
 System of Numeration
 The Four Operations
 Factors and Multiples
 Prime Numbers and Prime Factorisation
 Highest Common Factor
 Least Common Factor
 Number Patterns
 Variables
 Basic Number Laws
2. Fractions, Decimals and Approximation
 Fractions
 Addition and Subtraction of Fractions
 Multiplication and Division of Fractions
 Decimals
 Approximation
 Conversion Between Fractions and Decimals
 Estimation
3. Arithmetic Problems
 Units of Measure
 Simple Word Problems
 MultiStep Word Problems
 Estimation in Daily Life Situations
4. Real Numbers
 Negative Numbers
 Addition and Subtraction of Integers
 Multiplication of Integers
 Division of Integers
 Real Numbers
 Order of Calculation
 Mental Calculation
5. Simple Algebraic Expressions
 Algebraic Expressions
 Evaluation of Algebraic Expressions
 Algebraic Terms
 Use of Brackets
 Collecting Like Terms
6. Open Sentences And Equations
 Open Sentences
 Equations
 Equations with Fractional and Decimals Coefficients
 Evaluation of Formulae
 Algebraic Problems
7. Rate, Ratio And Percentage
 Rate and Speed
 Ratio
 Direct and Inverse Proportions
 Percentage
 Applications of Percentages
8. Solving Problems Involving Financial Transactions
 Earnings, Profit and Loss, Commissions and Discounts
 Interest and Hire Purchase
 Taxation and Money Exchange
9. Introducing Geometry
 Line Segment, Line and Angles
 Angle Properties Related to Straight Lines
 Perpendicular and Parallel Lines
 Angle Properties Related to Parallel Lines
10. Polygons
 Triangles
 Angle Properties of a Triangle
 Isosceles and Equilateral Triangles
 Angle Properties of a Polygon
 Quadrilaterals
 Properties of Quadrilaterals
11. Symmetries And Nets Of Solid Figures
 Line Symmetry
 Rotational Symmetry
 Patterns
 Symmetries of Solid Figures
 Nets of Solid Figures
12. Area And Perimeter
 Perimeter and area of Polygon
 Circumference and Area of Circle
 More Problems on Area and Perimeter
13. Volume and Surface Area of Prism and Cylinder
 Cylinder
 Density
 More Problems on Volume and Surface Area
14. Similarity And Congruence
 Similar and Congruent Figures
 Designs and Tessellations
 Scale Drawing
Samples
Chapter 2.4: Decimals Chapter 5.3: Algebraic Terms Chapter 10.3: Isosceles and Equilateral Triangles
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