New Syllabus Mathematics Textbook 1 (6th Edition)
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1 1. Factors and Multiples New Syllabus Mathematics Textbook 1 (6th Edition) Factors and Multiples Prime Numbers and Composite Numbers Prime Factorisation Index Notation Highest Common Factor (HCF) Least Common Factor (LCM) Squares and Square Roots Cubes and Cube Roots Mental Estimation The Use of Calculators Review Examples 1 Review Questions 1 2. Integers Negative Numbers Integers The Number Line Absolute Value of an Integer Addition of Integers Subtraction of Integers Multiplication of Integers Division of Integers Rules for Operating on Integers Review Examples 2 Review Questions 2 3. Rational Numbers By: Teh Keng Seng BSc, Dip Ed Loh Cheng Yee BSc, Dip Ed Rational Numbers Ordering of Rational Numbers Addition and Subtraction of Rational Numbers Multiplication and Division of Rational Numbers Arithmetical Operations on Rational Numbers Problem Solving Involving Rational Numbers Terminating and Recurring Decimals Use of Calculators on Real Numbers Review Examples 3
2 Review Questions 3 4. Estimation and Approximation Estimation and Rounding Approximations in Measurements and Accuracy Rounding Off a Number to a Given Number of Decimal Places Accuracy and Significant Figures Rounding Off a Number to a Given Number of Significant Figures Review Examples 4 Review Questions 4 5. Fundamental Algebra Notations in Algebra Evaluation of Algebraic Expressions Some Rules in Algebra Use of Brackets in Simplification Addition and Subtraction of Algebraic Expressions Linear Algebraic Expressions with Fractional Coefficients Factorisation Factorisation by Grouping Review Examples 5 Review Questions 5 Revision Exercise I 6. Number Sequences Number Sequences General Term in a Number Sequence Problem Solving Review Examples 6 Review Questions 6 7. Algebraic Equations and Simple Inequalities Open Sentences Simple Equations Solving Simple Equations Further Examples on Equations Formulae Construction of Formulae Writing Algebraic Expressions Problem Solving with Algebra
3 Inequalities Properties of Inequalities Equations and Inequalities Review Examples 7 Review Questions 7 8. Perimeter and Area of Simple Geometrical Figures Units of Area Area of a Parallelogram Area of a Trapezium Review Examples 8 Review Questions 8 9. Volume and Surface Area Concept of Volume Volume of Fluids Right Prisms Volume of a Prism Cylinders Volume of a Cylinder Surface Area of a Cylinder Review Examples 9 Review Questions 9 Revision Exercise II 10. Ratio, Rate and Proportion Ratio Equivalent Ratios Increase and Decrease in Ratio Rate Average Rate Time Speed and Average Speed Problems Involving Speed and Average Speed Review Examples 10 Review Questions Percentages Percentages, Fractions and Decimals
4 Expressing One Quantity as a Percentage of Another Finding the Percentage of a Number Comparing Two Quantities by Percentages Percentages Greater than 100% Increasing/Decreasing a Quantity by a Given Percentage Discount Commission Value-added Tax and GST Review Examples 11 Review Questions Functions and Graphs Rectangular Coordinates in Two Dimensions The Rectangular or Cartesian Plane Coordinates of a Point The Idea of Functions Ordered Pairs Satisfying a Function Gradient of a Straight Line Review Examples 12 Review Questions Statistics Introduction to Numerical Data Collection, Organisation and Interpretation of Data Collection of Data Using a Questionnaire Pictograms Bar Graphs Collection of Data Through Observation Pie Charts Collection of Data Through Interviews Line Graphs Frequency Tables and Histograms Collection of Data by Using Electronic Means and the Internet Grouped Frequency Tables Review Examples 13 Review Questions 13 Revision Exercise III 14. Basic Geometrical Concepts and Properties Points Lines, Rays, Line Segments
5 Planes Intersecting Lines Angles The Protractor and Angle Measure Different Kinds of Angles Complementary Angles Supplementary Angles Adjacent Angles on a Line Vertically Opposite Angles Parallel Lines, Alternate Angles, Corresponding Angles, Interior Angles Review Examples 14 Review Questions Angle Properties of Polygons Polygons Triangles Angle properties of Triangles Exterior and Interior Opposite Angles Quadrilaterals Convex Polygons Sum of Interior Angles of a Convex Polygon Sum of Exterior Angles of a Convex Polygon Review Examples 15 Review Questions Geometrical Constructions Geometrical Constructions Use of Compasses Bisecting an Angle Bisecting a Line Segment Review Examples 16 Review Questions 16 Revision Exercise IV Answers
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