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New Elementary Mathematics Syllabus D (author - Sin Kwai Meng; General Editor - Dr Wong Khoon Yoong) is a four-year 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
- problem-solving 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 problem-solving 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
- Multi-Step 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
All copyrights reserved by Marshall Cavendish International (S) Pte Ltd.
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