Contents for Secondary Mathematics Series 1 - 4 (Equivalent to 7-10th grade)
(all rights reserved by the publishers)New Elementary Mathematics 1 (Equivalent to 7th grade)
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 |
| Fractions |
| Addition and Subtraction of Fractions |
| Multiplication and Division of Fractions |
| Decimals |
| Approximation |
| Conversion Between Fractions and Decimals |
| Estimation |
| Units of Measure |
| Simple Word Problems |
| Multi-Step Word Problems |
| Estimation in Daily Life Situations |
| Negative Numbers |
| Addition and Subtraction of Integers |
| Multiplication of Integers |
| Division of Integers |
| Real Numbers |
| Order of Calculation |
| Mental Calculation |
| Algebraic Expressions |
| Evaluation of Algebraic Expressions |
| Algebraic Terms |
| Use of Brackets |
| Collecting Like Terms |
| Open Sentences |
| Equations |
| Equations with Fractional and Decimals Coefficients |
| Evaluation of Formulae |
| Algebraic Problems |
| Rate and Speed |
| Ratio |
| Direct and Inverse Proportions |
| Percentage |
| Applications of Percentages |
| Earnings, Profit and Loss, Commissions and Discounts |
| Interest and Hire Purchase |
| Taxation and Money Exchange |
| Line Segment, Line and Angles |
| Angle Properties Related to Straight Lines |
| Perpendicular and Parallel Lines |
| Angle Properties Related to Parallel Lines |
| Triangles |
| Angle Properties of a Triangle |
| Isosceles and Equilateral Triangles |
| Angle Properties of a Polygon |
| Quadrilaterals |
| Properties of Quadrilaterals |
| Line Symmetry |
| Rotational Symmetry |
| Patterns |
| Symmetries of Solid Figures |
| Nets of Solid Figures |
| Perimeter and area of Polygon |
| Circumference and Area of Circle |
| More Problems on Area and Perimeter |
| Cylinder |
| Density |
| More Problems on Volume and Surface Area |
| Similar and Congruent Figures |
| Designs and Tessellations |
| Scale Drawing |
New Elementary Mathematics 2 (Equivalent to 8th grade)
1. Indices
| Positive Integral Indices |
| Zero and Negative Integral Indices |
| Indices Involving Variables |
| Standard Form |
| 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 Equations |
| Transformation of Formulae |
| Quadratic Equations |
| Quadratic Factorisation |
| Solving Quadratic Equations by Factorisation |
| Solving Quadratic Equations by Factorisation |
| Word Problems Leading to Quadratic Equations |
| Problems on Rate, Ratio and Percentage |
| Problems Involving Financial Transactions |
| 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 |
| Simple Elimination Method |
| Elimination Method |
| Substitution Method |
| Word Problems Using Simultaneous Equations |
| Sets of Numbers on the Number Line |
| Properties of Order |
| Solving Inequalities |
| Congruent Triangles |
| Similar Triangles |
| Sectors |
| Cones and Pyramids |
| Sphere |
| Areas of Similar Figures |
| Volumes of Similar Solids |
| Pythagoras' Theorem |
| Indirect Measure |
| Trigonometrical Ratios |
| Trigonometrical Ratios by Using a Calculator |
| Solution of Right-angled Triangles |
| Applications of Trigonometrical Ratios to Simple Problems |
| Reflection |
| Rotation |
| Translation |
| Enlargement |
| Combination of Transformations |
| 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 |
| Frequency Distribution |
| Mean, Mode and Median of Frequency Distributions |
| Types of Averages |
| Addition and Subtraction of Polynomials |
| Multiplication of Polynomials |
| Division of Polynomials (Optional) |
| Algebraic Fractions and Fractional Equations |
| Algebraic Manipulation |
| Manipulation of Expressions |
New
Elem Mathematics (Equiv. to 9th Grade) 3A (Chp 1-7) and 3B (Chp 8-14)
1.
Computation and Manipulation
| Indices |
| Evaluation of Algebraic Expressions |
| Algebraic Fractions |
| Equations and Formulae |
| Quadratic Equations |
| Solving Equations by Formula |
| Problems Leading to Quadratic Equation |
| Solving Inequalities |
| Problems Involving Inequalities |
| Approximation |
| Length and Midpoint of a Line Segment |
| Gradient of a Straight Line |
| Equation of a Straight Line |
| Functions |
| Graphs of a Function |
| Inverse Functions |
| Direct and Inverse Variation |
| Gradient of a Graph |
| Solving Simultaneous Equations by Graphs |
| More Problems on Graphs |
| Trigonometrical ratios of an Obtuse Angle |
| Cosine Rule |
| Sine Rule |
| Bearings |
| Trigonometrical Problems Involving Bearings |
| Trigonometrical Problems in Three Dimension |
| Useful Geometrical Properties |
| Symmetry Properties of a Circle |
| Angle Properties of a Circle |
| More Angle Properties of a Circle |
| The Idea of a Set |
| Intersection and Union of Sets |
| The Universal Set |
| Using Venn Diagrams to Solve Problems |
| Rate of Change |
| Areas under Graphs |
| Reflection |
| Rotation |
| Translation |
| Enlargement |
| Shear |
| Stretching |
| Combination of Transformation |
| Presenting Grouped Data |
| Calculation of the Mean |
| Histogram for Grouped Data |
| Cumulative Frequency |
| Percentiles, Quartiles and the Interquartile Range |
| More Problems on Cumulative Frequency |
New Elem Mathematics(Equiv. to 10th grade) 4A(Chp 1-4) and 4B (Chp 5)
1. Loci | Locus as a Set of Points |
| Geometrical Properties Related to Loci |
| Vectors as Directed Line Segments |
| Position Vectors and Column Vectors |
| More Vector Problems |
| Reflection, Rotation and Translation |
| Enlargement, Shear and Stretch |
| Combination of Transformations |
| Meaning of Probability |
| More About Probability |
| Combined Events |
| Arithmetic |
| Algebra |
| Geometry |
| Mensuration |
| Trigonometry and bearings |
| Loci |
| Vectors |
| Graphs |
| Transformations |
| Statistics and Probability |
| Assessment Paper Set A |
| Assessment Paper Set B |
| Assessment
Paper Set C |