Mathematics

Form 1 (New Syllabus - KSSM)

Theme: Numbers

Chapter 1 Rational Numbers

• | Integers |

• | Addition and Subtraction of Integers |

• | Multiplication and Division of Integers |

• | Combined Operations on Integers |

• | Introduction to Laws of Arithmetic |

• | Applications of Laws of Arithmetic |

• | Positive and Negative Fractions |

• | Positive and Negative Decimals |

• | Rational Numbers |

Chapter 2 Factors and Multiplies

• | Factors, Prime Factors and Highest Common Factor (HCF) |

• | Multiples, Common Multiples and Lowest Common Multiple |

Chapter 3 Squares, Square Roots, Cubes ad Cube Roots Squares

• | Squares |

• | Square Roots |

• | Cubes of Numbers |

• | Cube Roots |

• | Computations Involving Squares, Square Roots, Cubes and Cube Roots |

Chapter 4 Ratios, rates and Proportions

• | Ratios |

• | Rates |

• | Proportions |

• | Ratios, Rates and Proportions |

• | Relationship between Ratios, Rates and Proportions, with Percentages, Fractions and Decimals |

Theme: Algebra

Chapter 5 Algebra Expressions

• | Variables and Algebraic Expression |

• | Terms and Coefficients in an Expression |

• | Addition and Subtraction Two or More Algebraic Expression |

• | Multiplication and Division of Algebraic Expression with One Term |

Chapter 6 Linear Equations

• | Linear Equations in One Variable |

• | Linear Equations in Two Variable |

• | Simultaneous Linear Equations in Two Variables |

Chapter 7 Linear Inequalities

• | Inequalities |

• | The Properties of Inequalities |

• | Linear Inequalities in One Variable |

• | Solve Simultaneous Linear Inequalities in One Variable |

Theme: Geometry

Chapter 8 Lines and Angles

• | Lines and Angles |

• | Complementary Angles, Supplementary Angles and Conjugate Angles |

• | Constructing Line Segments, Parallel Lines and Perpendicular Lines |

• | Constructing Angles and Angle Bisectors |

• | Angles related to Intersecting Lines |

• | Angles related to parallel Lines and Transversal |

• | Angles of Elevation and Angles of Depression |

Chapter 9 Basic Polygons

• | Polygons |

• | Properties of triangles and the Interior and Exterior Angles of Triangles |

• | Properties of Quadrilaterals and the Interior and Exterior Angles of Quadrilaterals |

Theme: Measurements

Chapter 10 Perimeter and Area

• | Perimeter |

• | Area of Triangles, Parallelograms, Kites and Trapeziums |

• | Relationship between Perimeter and Area |

Theme: Sets

Chapter 11 Introduction of Sets

• | Concept of Sets |

• | Symbols and Equal Sets |

• | Universal Set, Complement of a Set and Venn Diagram |

• | Subsets |

Theme: Statistics

Chapter 12 Data Handling

• | Data and Frequency |

• | Bar Chart, Pie Chart and Line Graph |

• | Dot Plot and the Stem-and-Leaf Plot |

• | Converting Data Presentation |

• | Statistical Practice and Ethics |

Theme: Geometry

Chapter 13 The Pythagoras'Theorem

• | Pythagoras' Theorem |

• | The Converse of Pythagoras' Theorem |

Form 1 (Old Syllabus - KBSM)

Theme: Numbers

Chapter 1 Whole Numbers

• | Understanding Whole Numbers |

• | Addition and Subtraction of Whole Numbers |

• | Multiplication and Division of Whole Numbers |

• | Combined Operations of Whole Numbers |

Chapter 2 Number Patterns and Sequences

• | Number Patterns and Sequences |

• | Odd, Even and Prime Numbers |

• | Factors of Whole Numbers |

• | Common Factors and HCF of Whole |

Chapter 3 Numbers

• | Multiples and LCM of Whole Numbers |

Chapter 4 Fractions

• | Fractions |

• | Comparing, Arranging and Simplifying |

• | Fractions |

• | Mixed Numbers, Proper Fractions and Improper Fractions |

• | Addition and Subtraction of Fractions |

• | Multiplication of Fractions |

• | Division of Fractions |

• | Mixed Operations on Fractions |

Chapter 5 Decimals

• | Decimals and Fractions |

• | Place Value and Value of Digit |

• | Addition and Subtraction of Decimals |

• | Multiplication and Division of Decimals |

• | Combined Operations of Decimals |

Chapter 6 Percentages

• | Percentages |

• | Percentage of Increase or Decrease |

• | Solving Problems Involving Percentages |

Chapter 7 Integers

• | Integers |

• | Addition and Subtraction of Integers |

Theme: Algebra

Chapter 8 Algebraic Expressions I

• | Algebraic Expressions |

Theme: Measurements

Chapter 9 Basic Measurements

• | Length |

• | Mass |

• | Time |

• | The 12-hour and 24-hour Systems |

Theme: Geometry

Chapter 10 Linear Equations

• | Angles |

• | Parallel and Perpendicular Lines |

• | Intersecting Lines |

Chapter 11 Polygons I

• | Polygons |

• | Symmetry |

• | Triangles |

• | Quadrilaterals |

Theme: Measurements

Chapter 12 Perimeter and Area

• | Understand the Concept of Perimeter to Solve Problems |

• | Area of Rectangles |

• | Area of Triangles, Parallelograms, Kites and Trapeziums |

• | Solve Problems Related to Perimeter and Area |

Theme: Geometry

Chapter 13 Solid Geometry

• | Cubes and Cuboids |

• | Volumes of Cuboids |

Form 2 (Old Syllabus - KBSM)

Theme: Numbers

Chapter 1 Directed Numbers

• | Combined Operations on Integers |

• | Extend the Concept of Integers to Fractions |

• | Extend the Concept of Integers to Decimals |

• | Perform Computations Involving Directed Numbers (Integers, Fractions and Decimals) |

Chapter 2 Squares, Square Roots, Cubes and Cube Roots

• | Squares of Numbers |

• | Perfect Squares and Solving Problems on Squares of Numbers |

• | Square Roots |

• | Calculating Square Roots |

• | Cubes of Numbers |

• | Cube Roots |

• | Computations Involving Squares, Square Roots, Cubes and Cube Roots |

Theme: Algebra

Chapter 3 Algebraic Expressions II

• | Unknowns and Coefficients in Algebraic Terms |

• | Multiplication and Division of Algebraic Terms |

• | Algebraic Expressions |

• | Simplifying and Evaluating Algebraic Expressions |

• | Algebraic Computations |

Chapter 4 Linear Equations

• | Equality |

• | Linear Equations in One Unknown |

• | Solving Linear Equations in One Unknown |

• | Solving Linear Equations in One Unknown |

• | Problems Involving Linear Equations |

Theme: Numbers

Chapter 5 Rations, Rates and Proportions I

• | Ratio of Two Quantities |

• | Proportion |

• | Ratios and Proportions |

• | Ratio of Three Quantities |

Theme: Geometry

Chapter 6 Pythagoras'Theorem

• | Pythagoras' Theorem |

• | The Converse of Pythagoras' Theorem |

Chapter 7 Geometrical Constructions

• | Constructing Line Segments |

• | Constructing Perpendiculars |

• | Constructing Angles and Angle Bisectors |

• | Construct Triangles, Parallel Lines and Parallelograms |

Theme: Algebra

Chapter 8 Coordinates

• | Coordinate System |

• | Scales of the Coordinate Axes |

• | Distance between Two Points on a Cartesian Plane |

• | Midpoint |

Theme: Geometry

Chapter 9 Loci in Two Dimensions

• | Two-Dimensional Loci |

• | Constructing the Locus |

• | Intersection of Two Loci |

Chapter 10 Circles

• | Parts of a Circle |

• | Drawing a Circle and Parts of a Circle |

• | Circumference of a Circle |

• | Problems Involving Circumference of Circles |

• | Arc of a Circle |

• | Area of a Circle |

• | Area of Sector |

Chapter 11 Transformations I

• | Transformations |

• | Translations |

• | Reflections |

• | Rotations I |

• | Rotations II |

• | Isometry and Congruency |

• | Properties of Quadrilaterals Using Reflections and Rotations |

Chapter 12 Solid Geometry II

• | Properties of Geometric Solids |

• | Nets of Geometric Solids |

• | Surface Area of Geometric Solids |

• | Problems Involving Surface Areas |

Theme: Statistics

Chapter 13 Statistics I

• | Data and Frequency |

• | Pictograms and Line Graphs |

• | Bar Charts |

Form 3 (Old Syllabus - KBSM)

Theme: Geometry

Chapter 1 Lines and Angles II

• | Properties of Angles Associated with Transversal and Parallel Lines. |

• | Problem Solving involving Angles Associated with Transversals. |

Chapter 2 Polygons II

• | Regular Polygons |

• | Angles in a Polygon |

Chapter 3 Cicles II

• | Properties of Angles in Circles |

• | Cyclic Quadrilateral |

Theme: Statistics

Chapter 4 Statistics II

• | Pie Charts |

• | Mode, Median and Mean |

Theme: Algebra

Chapter 5 Indices

• | Indices |

• | Negative Indices, Fractional Indices |

• | Laws of Indices |

Chapter 6 Algebraic Expressions III

• | Expanding Brackets |

• | Factorization |

• | Algebraic Expressions |

• | Algebraic Fractions |

Chapter 7 Algebraic Formulae

• | Variables and Constants |

• | Algebraic Formulae |

Theme: Geometry

Chapter 8 Solid Geometry III

• | Circular Cylinders and Right Prisms |

• | Right Pyramids and Right Circular Cones |

• | Spheres and Composite Solids |

• | Scale Drawings |

• | Problem Solving Involving Scale Drawings |

Chapter 9 Transformations II

• | Similarity |

• | Finding the Unknown Sides of Similar Figures |

• | Enlargement I |

• | Enlargement II |

• | Area of an Object and Image of an Enlargement |

Theme: Algebra

Chapter 10 Linear Equations II

• | Concepts of Linear Equations in Two Variables |

• | Simultaneous Linear Equations in Two Variables |

Chapter 11 Linear Inequalities

• | Inequalities |

• | Linear Inequalities in One Unknown |

• | Computations of Linear Inequalities |

• | Linear Inequalities in One Variable |

• | Simultaneous Linear Inequalities in One Variable |

Chapter 12 Graph of Functions

• | Functions |

• | Graphs of Functions |

Theme: Numbers

Chapter 12 Rations, Rates and Proportions II

• | Rate |

• | Speed and Average Speed |

• | Acceleration |

Theme: Trigonometry

Chapter 13 Trigonometry

• | Sine, Cosine and Tangent of an Acute Angle |

• | The Values of Sine, Cosine and Tangent |

• | Problem Solving Involving Trigonometric Ratios |

Form 4

Chapter 1 Standard Form

1.4.1 | Significant Figures |

1.4.2 | Standard Form |

Chapter 2 Quadratic Expressions and Equations

2.3.2 | Concepts of Quadratic Expressions |

2.4.3 | Quadratic Factorisation |

2.6.1 | Quadratic Equations |

2.6.2 | Solving Quadratic Equations by Factorisation |

2.6.3 | Problem Solving Using Quadratic Equations |

Chapter 3 Set

2.1.1 | Set and Its Notation |

2.1.1 | Types of Sets |

2.1.1 | Subsets |

2.1.1 | Subsets |

2.1.1 | Intersection of Sets |

2.1.1 | Union of Sets |

2.1.1 | Combined Operations on Sets |

Chapter 4 Mathematical Reasoning

3.1.1 | Statements and Their Truth Values |

3.1.2 | The Quantifiers and Their Truth Values |

3.1.3 | Negations |

3.1.4 | Compound Statements |

3.1.5 | The Truth Value of a Compound Statement |

3.1.6 | Implication |

3.1.7 | The Converse of an Implication |

3.1.8 | Arguments |

3.1.9 | Reasoning |

Chapter 5 The Straight Line

2.8.1 | Gradient of a Straight Line |

2.8.2 | Gradient of a Straight Line in Cartesian Co-ordinates |

2.8.3 | Intercepts |

2.8.4 | The Graph and Equation of a Straight Line |

2.8.5 | Finding the Equation of a Straight Line |

2.8.6 | Parallel Lines |

2.8.7 | Point of Intersection of Two Lines |

Chapter 6 Statistics

4.1.3 | Frequency Table |

4.1.4 | Histogram |

4.1.5 | Frequency Polygon |

4.1.6 | Cumulative Frequency Diagram or Ogive |

4.1.8 | Mean and Mode of Grouped Data |

4.1.9 | Measures of Dispersion |

Chapter 7 Probability I

4.2.1 | Experiments and Outcomes |

4.2.2 | Sample Space and Events |

4.2.3 | Introduction to Probability |

4.2.4 | Finding Probability Using Relative Frequency |

4.2.5 | Solving Problems Involving Probability I |

Chapter 8 Circle III

3.12.2 | Tangents to a Circle |

3.12.3 | Constructing Tangents |

3.12.4 | Two Tangents to a Circle |

3.12.5 | Angles in Alternate Segments |

3.12.6 | Common Tangents |

Chapter 9 Trigonometry II

3.9.1 | The Unit Circle SCORM package |

3.9.1 | Trigonometric Ratios in a Unit Circle |

3.9.1 | Special Angles |

3.9.1 | Reference Angles |

3.9.1 | Finding Angles |

3.9.1 | Solving Problems Involving Sine, Cosine, and Tangent |

3.9.1 | Graphs of Sine and Cosine Functions |

3.9.1 | Graph of the Tangent Function |

Chapter 10 Angles of Elevation and Depression

3.10.1 | Angles of Elevation and Depression |

Chapter 11 Line and Planes in 3-Dimensions

3.2.1 | Points, Lines, and Planes |

3.4.1 | The Orthogonal Projection of a Line on a Plane |

3.4.2 | Angles in 3-Dimensional Structures |

Form 5

Chapter 1 Number Bases

1.7.1 | Number Bases |

1.7.2 | Conversion of Number Bases |

Chapter 2 Graphs of Functions

2.14.1 | Graphs of Linear and Constant Functions |

2.14.1 | Graphs of Quadratic and Cubic Functions |

2.14.1 | Graph of Reciprocal Functions |

2.14.1 | Linear Inequalities in Two Unknowns |

2.14.1 | Simultaneous Linear Inequalities |

Chapter 3 Transformations III

3.14.1 | Combination of Two Isomeric Transformations |

3.14.1 | Combinations of Two Transformations |

3.14.1 | Equivalent Transformations |

Chapter 4 Matrices

2.15.1 | Introduction to Matrices |

2.15.1 | Operations on Matrices |

2.15.1 | The Inverse Matrix |

2.15.1 | Solving Simultaneous Linear Equations by Using Matrices |

Chapter 5 Variations

2.7.1 | Direct and Inverse Variations |

2.7.2 | Joint Variation |

Chapter 6 Gradient and Area Under a Graph

2.9.1 | Gradient of a Graph |

2.9.2 | Area under a Graph |

Chapter 7 Probability II

4.2.6 | Probability of the Complement of an Event |

4.2.7 | Probability of Combined Events |

4.2.8 | Solving Problems Involving Probability II |

Chapter 8 Bearing III

3.7.1 | Bearing and Compass Directions |

3.7.2 | Solving Problems Involving Bearing |

Chapter 9 Earth as a Sphere

3.8.1 | Longitude and Latitude |

3.8.2 | Locations of a Place |

3.8.3 | Distance along a Meridian and the Equator |

3.8.4 | Distance between Two Points along the Equator |

3.8.5 | Solving Problems Involving Points on the Surface of the Earth |

Chapter 10 Plans and Elevation

3.6.1 | Plans and Elevations |

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