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## New Elementary Mathematics 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, Decimals and Approximation
- Fractions
- Addition and Subtraction of Fractions
- Multiplication and Division of Fractions
- Decimals
- Approximation
- Conversion Between Fractions and Decimals
- Estimation
- Arithmetic Problems
- Units of Measure
- Simple Word Problems
- Multi-Step Word Problems
- Estimation in Daily Life Situations
- Real Numbers
- Negative Numbers
- Addition and Subtraction of Integers
- Multiplication of Integers
- Division of Integers
- Real Numbers
- Order of Calculation
- Mental Calculation
- Simple Algebraic Expressions
- Algebraic Expressions
- Evaluation of Algebraic Expressions
- Algebraic Terms
- Use of Brackets
- Collecting Like Terms
- Open Sentences And Equations
- Open Sentences
- Equations
- Equations with Fractional and Decimals Coefficients
- Evaluation of Formulae
- Algebraic Problems
- Rate, Ratio And Percentage
- Rate and Speed
- Ratio
- Direct and Inverse Proportions
- Percentage
- Applications of Percentages
- Solving Problems Involving Financial Transactions
- Earnings, Profit and Loss, Commissions and Discounts
- Interest and Hire Purchase
- Taxation and Money Exchange
- Introducing Geometry
- Line Segment, Line and Angles
- Angle Properties Related to Straight Lines
- Perpendicular and Parallel Lines
- Angle Properties Related to Parallel Lines
- Polygons
- Triangles
- Angle Properties of a Triangle
- Isosceles and Equilateral Triangles
- Angle Properties of a Polygon
- Quadrilaterals
- Properties of Quadrilaterals
- Symmetries And Nets Of Solid Figures
- Line Symmetry
- Rotational Symmetry
- Patterns
- Symmetries of Solid Figures
- Nets of Solid Figures
- Area And Perimeter
- Perimeter and area of Polygon
- Circumference and Area of Circle
- More Problems on Area and Perimeter
- Volume and Surface Area of Prism and Cylinder
- Cylinder
- Density
- More Problems on Volume and Surface Area
- Similarity And Congruence
- Similar and Congruent Figures
- Designs and Tessellations
- Scale Drawing

## New Elementary Mathematics 2

- 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 Right-angled 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

## New Elem Mathematics 3A (Chp 1-7)

- Computation and Manipulation
- Indices
- Evaluation of Algebraic Expressions
- Algebraic Fractions
- Equations
- Equations and Formulae
- Quadratic Equations
- Solving Equations by Formula
- Problems Leading to Quadratic Equation
- Inequalities
- Solving Inequalities
- Problems Involving Inequalities
- Approximation
- Coordinate Geometry
- Length and Midpoint of a Line Segment
- Gradient of a Straight Line
- Equation of a Straight Line
- Functions and Variations
- Functions
- Graphs of a Function
- Inverse Functions
- Direct and Inverse Variation
- Graphs
- Gradient of a Graph
- Solving Simultaneous Equations by Graphs
- More Problems on Graphs
- Trigonometry and Bearings
- Trigonometrical ratios of an Obtuse Angle
- Cosine Rule
- Sine Rule
- Bearings
- Trigonometrical Problems Involving Bearings
- Trigonometrical Problems in Three Dimension
- Symmetry Properties of a Circle
- Useful Geometrical Properties
- Symmetry Properties of a Circle
- Angle Properties of a Circle
- Angle Properties of a Circle
- More Angle Properties of a Circle
- Sets
- The Idea of a Set
- Intersection and Union of Sets
- More About Sets
- The Universal Set
- Using Venn Diagrams to Solve Problems
- Rate of Change and Area
- Rate of Change
- Areas under Graphs
- Transformations
- Reflection
- Rotation
- Translation
- Enlargement
- Shear
- Stretching
- Combination of Transformation
- Statistics
- 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 3B (Chp 8-14)

## New Elem Mathematics 4A (Chp 1-4)

- Loci
- Locus as a Set of Points
- Geometrical Properties Related to Loci
- Equations
- Vectors as Directed Line Segments
- Position Vectors and Column Vectors
- More Vector Problems
- Transformations
- Reflection, Rotation and Translation
- Enlargement, Shear and Stretch
- Combination of Transformations
- Probability
- Meaning of Probability
- More About Probability
- Combined Events
- Revision (4B is an overall review of New Elementary Math from 1A through 4A)
- 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