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New Syllabus Mathematics 6th Edition (authors - Teh Keng Seng, Loh Cheng Yee; consultant - Dr Yeap Ban Har) is a series of four textbooks. This title covers the Syllabus for Secondary Mathematics implemented from 2007 by the Ministry of Education, Singapore. The whole series covers the complete syllabus for the Singapore-Cambridge GCE 'O' Level Mathematics.
The sixth edition of New Syllabus Mathematics retains the goals and objectives of the previous edition, but has been revised to meet the requests of users of the fifth edition and to keep materials up-to-date as well as to give students a better understanding of the contents.
All topics are comprehensively dealt with to give students a firm grounding in the subject. Explanations of concepts and principles are concise and written in clear language with supportive illustrations and examples. Examples and exercises have been carefully graded to aid students in progressing within and beyond each level. Those exercises marked with a * either require more thinking or involve more calculations.
Numerous revision exercises are provided at appropriate intervals to enable students to recapitulate what they have learnt.
Some interesting features of this series include the following:
Above is an extract from the preface of the New Syllabus Mathematics (reproduced with the permission of the publishers).
Answers to exercises, reviews, and tests are in the back of the book. There are no answers provided for the investigations and explorations yet.
There is an optional workbook for this series.
New Syllabus Mathematics Textbook 4
1. Graphical Solution of Equations
- Graphs of Cubic Functions
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Graphs of Reciprocal Functions
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Graphs of the Function y = a/x2
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Graphs of Exponentials Functions
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Sketches of Some Important Graphs
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Sketching Graphs of Quadratic Functions
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Graphs of the form y = ± (x - a) (x - b)
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Graphs of the form y = ± (x – p)2 + q
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Graphical Solution of Quadratic Equations
- Summary
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Review Examples 1
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Review Questions 1 2. Further Graphs and Graphs Applied to Kinematics
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Linear Distance-Time Graphs
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Gradient of a Curve
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Gradient of a Distance-Time Curve
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Speed-Time Graphs
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Graphs in Practical Solutions
- Summary
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Review Examples 2
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Review Questions 2
3. Vector in Two Dimensions
- Scalar and Vector Quantities
- Terminologies and Notation of Vectors
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Equal Vectors
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Vectors which are Opposite
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Column Vectors
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Addition of Vectors
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Zero Vectors
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Subtraction of Vectors
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Scalar Multiple of a Vector
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Expression of a Given Vector in Terms of Two Vectors
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Position Vectors
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Summary
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Review Examples 3
- Review Questions 3
4. Standards Deviation and Mean
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Mean (Revision)
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Standard Deviation
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Summary
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- Review Questions 4
5. Cumulative Frequency Distribution
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Cumulative Frequency Table
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Cumulative Frequency Curve
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Median, Quartiles and Percentiles
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Interquartile Range
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Box-and-Whisker Plots
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Summary
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- Review Questions 5
6. More on Probability
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Revision
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Possible Outcomes in the Sample Space
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Simple Combined Events and Possibility Diagrams
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Simple Combined Events and Tree Diagrams
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Addition of Probabilities and Mutually Exclusive Events
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Summary
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- Review Questions 6
7. Revision
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Arithmetic 1: Numbers, Percentages, Time
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Arithmetic 2: Rate, Ratio, Proportion, Speed and Map Problems
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Arithmetic 1: Simple and Compound Interest, Money Exchange, Financial Transactions
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Algebra 1: Simplification, Substitution, Expansion and Factorization
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Algebra 2: Algebraic Manipulation and Indices
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Algebra 3: Inequalities
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Algebra 4: Quadratic Equations
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Mensuration (2-Dimensional Problems)
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Mensuration (3-Dimensional Problems)
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Coordinate Geometry
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Geometry 1: Geometrical Properties of Angles and Angle Properties of Polygons
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Geometry 2: Congruence and Similarity
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Geometry 3: Angle Properties of Circles
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Graphs and Graphical Solutions
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Pythagoras' Theorem and Trigonometry
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Bearing and Trigonometry
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Number Sequence and Problem Solving
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Sets and Venn Diagram
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Matrices
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Vectors
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Statistics 1: Data Handling and Averages
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Statistics 2: Data Analysis
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Probability
Samples
(all copyrights reserved by Shing Lee Publishers Pte Ltd, Singapore)
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