



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 learned.
 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 learned.
 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
Contents
 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
 Fractions, Decimals and Approximation
Fractions
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Decimals
Approximation
Conversion Between Fractions and Decimals
Estimation
 Arithmetic Problems
Units of Measure
Simple Word Problems
MultiStep Word Problems
Estimation in Daily Life Situations
 Real Numbers
Negative Numbers
Addition and Subtraction of Integers
Multiplication of Integers
Division of Integers
Real Numbers
Order of Calculation
Mental Calculation
 Simple Algebraic Expressions
Algebraic Expressions
Evaluation of Algebraic Expressions
Algebraic Terms
Use of Brackets
Collecting Like Terms
 Open Sentences And Equations
Open Sentences
Equations
Equations with Fractional and Decimals Coefficients
Evaluation of Formulae
Algebraic Problems

 Rate, Ratio And Percentage
Rate and Speed
Ratio
Direct and Inverse Proportions
Percentage
Applications of Percentages
 Solving Problems Involving Financial Transactions
Earnings, Profit and Loss, Commissions and Discounts
Interest and Hire Purchase
Taxation and Money Exchange
 Introducing Geometry
Line Segment, Line and Angles
Angle Properties Related to Straight Lines
Perpendicular and Parallel Lines
Angle Properties Related to Parallel Lines
 Polygons
Triangles
Angle Properties of a Triangle
Isosceles and Equilateral Triangles
Angle Properties of a Polygon
Quadrilaterals
Properties of Quadrilaterals
 Symmetries And Nets Of Solid Figures
Line Symmetry
Rotational Symmetry
Patterns
Symmetries of Solid Figures
Nets of Solid Figures
 Area And Perimeter
Perimeter and area of Polygon
Circumference and Area of Circle
More Problems on Area and Perimeter
 Volume and Surface Area of Prism and Cylinder
Cylinder
Density
More Problems on Volume and Surface Area
 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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Our recommendation:
New Elementary Mathematics is ideal for both classroom and home use for 7th  10th grades. This is the most popular secondary math series used by schools and homeschoolers in the U.S. and Canada.
Recommended for those who want a challenging math series with a proven international track record that will carry them part way into advanced math. This series integrates prealgebra, algebra, and geometry and includes some advanced math topics. Many questions require students to apply knowledge to new situations rather than following a procedure. Includes challenging questions for enrichment and discussion as well as math investigations. Teacher involvement is generally required.
General guideline for the New Elementary Mathematics Series:
NEM 1  Introductory algebra and geometry
NEM 2  Intermediate algebra and geometry
NEM 3  Advanced algebra and geometry
NEM 4  Introductory advanced math and review
Placement Test to place your student.








