



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
 Indices
Positive Integral Indices
Zero and Negative Integral Indices
Indices Involving Variables
Standard Form
 Algebraic Manipulations
Special Algebraic Rules for Calculations
Expanding Products
Factorisation
Addition and Subtraction of Algebraic Fractions
Multiplication and Division of Algebraic Fractions
Fractional Equations
Problems Involving Fractional Equations
 Literal And Quadratic Equations
Literal Equations
Transformation of Formulae
Quadratic Equations
Quadratic Factorisation
Solving Quadratic Equations by Factorisation
Solving Quadratic Equations by Factorisation
Word Problems Leading to Quadratic Equations
 Word Problems
Problems on Rate, Ratio and Percentage
Problems Involving Financial Transactions
 Graphs I
The Coordinate Plane
Graphs of Linear Equations in Two Variables
Simple Applications of Straight Line Graphs
Travel Guide
Solving Simultaneous Linear Equations by Graphs
Quadratic Graphs
 Simultaneous Linear Equations
Simple Elimination Method
Elimination Method
Substitution Method
Word Problems Using Simultaneous Equations
 Inequalities
Sets of Numbers on the Number Line
Properties of Order
Solving Inequalities

 Congruent and Similar Triangles
Congruent Triangles
Similar Triangles
 Mensuration
Sectors
Cones and Pyramids
Sphere
Areas of Similar Figures
Volumes of Similar Solids
 Pythagoras' Theorem and Trigonometry
Pythagoras' Theorem
Indirect Measure
Trigonometrical Ratios
Trigonometrical Ratios by Using a Calculator
Solution of Rightangled Triangles
Applications of Trigonometrical Ratios to Simple Problems
 Motion Geometry
Reflection
Rotation
Translation
Enlargement
Combination of Transformations
 Statistics I
Collection and Presentation of Data
Reading and Drawing of Bar Graphs
Reading and Drawing of Pie Charts
Reading and Drawing of Line Graphs and Pictograms
 Statistics II
Frequency Distribution
Mean, Mode and Median of Frequency Distributions
Types of Averages
 More Algebraic Manipulations
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials (Optional)
Algebraic Fractions and Fractional Equations
Algebraic Manipulation
Manipulation of Expressions

Samples
Chapter 1: Indices
Chapter 4: Miscellaneous Exercise 1
Chapter 6.1: Simultaneous Linear Equations
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Our recommendation:
New Elementary Mathematics is ideal for both classroom and home use for 7th  8th grades. This is a popular secondary math series used by schools and homeschoolers in the U.S. and Canada. Even though the series is out of print in Singapore, we continue to carry the first two levels.
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
Placement Test to place your student.








