Secondary Mathematics Scope and Sequence

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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

New Elementary Mathematics 2

  1. Indices
    • Positive Integral Indices
    • Zero and Negative Integral Indices
    • Indices Involving Variables
    • Standard Form
  2. 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
  3. 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
  4. Word Problems
    • Problems on Rate, Ratio and Percentage
    • Problems Involving Financial Transactions
  5. 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
  6. Simultaneous Linear Equations
    • Simple Elimination Method
    • Elimination Method
    • Substitution Method
    • Word Problems Using Simultaneous Equations
  7. Inequalities
    • Sets of Numbers on the Number Line
    • Properties of Order
    • Solving Inequalities
  8. Congruent and Similar Triangles
    • Congruent Triangles
    • Similar Triangles
  9. Mensuration
    • Sectors
    • Cones and Pyramids
    • Sphere
    • Areas of Similar Figures
    • Volumes of Similar Solids
  10. 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
  11. Motion Geometry
    • Reflection
    • Rotation
    • Translation
    • Enlargement
    • Combination of Transformations
  12. 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
  13. Statistics II
    • Frequency Distribution
    • Mean, Mode and Median of Frequency Distributions
    • Types of Averages
  14. 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