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Level
Primary
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Standard 5
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Numbers
>
Place Value
Writing Numbers to Words
Multiplication of Numbers
Division of Numbers
Factors
>
Introduction to Factors
Prime & Composite Numbers
Prime Factorization
Highest Common Factor (HCF)
Statistics
>
Introduction to Statistics
Measures of Central Tendency
Secondary
>
Form I
>
Exploring Numbers
>
Introduction to Numbers
Classification of Numbers
Integers
>
Introduction to Negative Numbers
Adding & Subtracting Integers
Multiplying and Dividing Integers
Order of Operations - BODMAS/BOMDAS/PEMDAS
Properties of Operations
Rational Numbers
Irrational Numbers
Concept of PI
Factors, Indices & Multiples
>
Factors
>
Introduction to Factors
Prime & Composite Numbers
Prime Factorization
Highest Common Factor (HCF)
Introduction to Indices
Multiples
>
Introduction to Multiples
Lowest/Least Common Multiple (LCM)
Algebra I
>
Introduction to Algebra
Algebraic Expressions
>
Introduction to Algebraic Expressions
Writing Algebraic Expressions
Substitution I
Simplification I
Factorization I
Algebraic Equations
>
Introduction to Algebraic Equations
Simple Algebraic Equations (Addition & Subtraction)
Simple Algebraic Equations (Multiplication & Division)
Solving Two- Step Algebraic Equations
Algebraic Inequalities/Inequations
>
Introduction to Algebraic Inequalities
Solving Algebraic Inequalities
Form I: End of Year Examination
Form II
>
Approximation
>
Introduction to Approximation
Decimal Places
Significant Figures
Standard Form / Scientific Notation
Quiz: Approximation
Number Bases
>
Introduction to Number Bases
Conversion of Other Bases to Base 10
Conversion of Base 10 to Other Bases
Conversion Between Bases
Addition & Subtraction of Bases
Quiz: Number Bases
Consumer Arithmetic
>
Introduction to Consumer Arithmetic
Cost Price & Selling Price
Profit & Loss
>
Profit & Loss Amount
Profit & Loss Percentage
Discount
Interest
>
Simple Interest
Compound Interest
Hire Purchase
Taxation
>
Introduction to Taxation
Value Added Tax (VAT)
Income Tax
Salaries & Wages
Commission
Currency Conversion
Statistics I
>
Introduction to Statistics
Measures of Central Tendency
Geometry I
>
Introduction to Geometry I
Angles & Degrees
>
Introduction to Angles & Degrees
Pairs of Angles
Polygons
>
Introduction to Polygons
Basic Triangles
Basic Quadrilaterals
Construction
>
Construction of Shapes using Protractor
Construction of Angles Using a Compass
Construction of Shapes using a Compass
Relations, Functions & Graphs I
>
Introduction to Coordinate Planes
Relations
Form II: EOT I Examination (2021/2022)
Form III
>
Sets
Indices
>
Introduction to Indices
Multiplication of Indices
Division of Indices
Power of a Power
Power of Zero
Negative Indices
Fractional Indices
Summary of the Laws of Indices
Ratios and Proportions
>
Ratios
Rates and Unit Rates
Proportions
>
Introduction to Proportions
Direct Proportion
Inverse Proportion
Trigonometry I
>
Introduction to Trigonometry
Pythagoras/Pythagorean Theorem
>
Introduction to Pythagoras Theorem
Application of Pythagoras Theorem
Converse of Pythagoras Theorem
Trigonometric Ratios
>
Introduction to Trigonometric Ratios
Evaluating Trig. Ratios
Finding Missing Sides Using Trig. Ratios
Finding Missing Angles Using Trig. Ratios
Triangles
>
Basic Triangles
Congruent & Similar Triangles
>
Introduction to Congruent & Similar Figures
Congruent Triangles
Similar Triangles
Algebra II
>
Simplification II
Simultaneous Equations (Linear)
>
Introduction to Simultaneous Equations (Linear)
Solving Simultaneous Equations Using Substitution
Transposition
>
Introduction to Transposition
Advanced Transposition Examples
Quadratic Equations
>
Introduction to Quadratic Equations
The Quadratic Formula
Factorisation
Completing the Square
Geometric Transformations
>
Geometric Transformations (Rotation)
Form IV
>
CSEC Mathematics (Form IV)
>
Statistics II
>
Ungrouped Data
>
Frequency Distributions & Graphs
Mean from a Frequency Distribution
Median from a Frequency Distribution
Mode from a Frequency Distribution
Range from a Frequency Distribution
Quiz: Ungrouped Data
Grouped Data
>
Frequency Distribution & Graphs
Mean from a Frequency Distribution
Median from a Frequency Distribution
Mode from a Frequency Distribution
Range from a Frequency Distribution
Quiz: Grouped Data
CSEC Past Paper Questions
Relations, Functions & Graphs II
>
Evaluating Functions
Inverse of a Function
Composite Functions
>
Introduction to Composite Functions
Domain & Range of Composite Functions
Inverse of Composite Functions
CSEC Past Paper Questions
Quiz: Relations, Functions & Graphs
Geometry II
>
Co-ordinate Geometry
>
Introduction to Co-ordinate Geometry
Gradient / Slope
Standard & Slope Intercept Form
Point Slope Form
Midpoint Formula
Distance Formula
Quiz: Co-ordinate Geometry I
Circle Geometry
>
Introduction to Circle Geometry
Theorem I
Theorem II
Theorem III
Theorem IV
Theorem V
Theorem VI
Theorem VII
Theorem VIII
Theorem IX
Matrices I
>
Introduction to Matrices
CSEC Additional Mathematics (Form IV)
>
Remainder & Factor Theorem
>
Long Division
Remainder & Factor Theorem
Quiz: Remainder & Factor Theorem
Quadratics
>
Quadratic Equations
Graph of a Quadratic Function
Discriminant of a Quadratic Equation
Equations Reducible to a Quadratic Equation
Quiz: Quadratics
Surds, Indices & Logarithms
>
Surds
>
Introduction to Surds
Sequences & Series
>
Sequences
>
Introduction to Sequences
Finding the General Term of a Sequence
Series
>
Introduction to Series
Arithmetic Series
Geometric Series
Convergent & Divergent Series
Co-ordinate Geometry
Form V
>
CSEC Mathematics (Form V)
>
Matrix Transformations
>
Introduction to Matrix Transformations
Enlargement
Translation
Rotation
Reflection
Composite Transformation
Trigonometry II
>
Sine Rule
Cosine Rule
Bearings
>
Introduction to Bearings
Calculating Bearings
Quiz: Bearings
Linear Programming
>
Introduction to Linear Programming
Application of Linear Programming
Distance & Velocity Time Graphs
>
Scalar & Vector Quantities
Distance - Time Graphs
Velocity - Time Graphs
>
Defining The Variables
V-T Graphs
Quiz: Velocity Time & Linear Programming
CSEC Mathematics Past Papers Video Tutorials
>
Paper I - Multiple Choice Past Paper Videos
Paper II - Structured Past Paper Videos
Mock Examination 2021
CSEC Additional Mathematics (Form V)
>
Vectors
>
Introduction to Vectors: Scalar & Vector Quantities
Types of Vectors
Integration I
>
Area bounded by a Curve and Two Lines Parallel to the Y-Axis
Lower VI
>
Pure Mathematics
>
Module I - BASIC ALGEBRA AND FUNCTIONS
>
Reasoning & Logic
>
Introduction to Reasoning & Logic
Truth Tables & Logic Connectives
Equivalence, Tautologies, Contradictions, Contingency & Satisfiability
Algebra of Propositions
Quiz: Reasoning & Logic
The Real Number System
>
Quiz: The Real Number System
Principle of Mathematical Induction
>
Introduction to Principle of Mathematical Induction
Proving Simple Statements using Principle of Mathematical Induction
Divisibility Test and Mathematical Induction
Polynomials
>
Quiz: Polynomials
Indices, Surds & Logarithms
>
Quiz: Indices, Surds & Logarithms
Applied Mathematics
>
Module I - COLLECTING AND DESCRIBING DATA
>
Data Collection
>
Primary and Secondary Data
Quantitative and Qualitative Data
Discrete and Continuous Data
Population and Sample
Sampling and Sampling Frames
Sampling Methods
Data Collection Instruments
Upper VI
>
Pure Mathematics
>
Module I - Complex Numbers & Calculus II
>
Complex Numbers
>
Introduction to Complex Numbers
Argand Diagram
Modulus & Argument
Trigonometric & Exponential Form
De Moivre's Theorem & Pascal's Triangle
Locus
Differentiation
>
Differentiation Rules
Implicit Differentiation
Partial Derivatives
>
Introduction to Partial Derivatives
First Order Partial Derivatives
Second Order Partial Derivatives
Summary & Questions
Partial Fractions
>
Introduction to Partial Fractions
Proper Fractions
>
Non Repeated Linear Factors
Repeated Linear Factors
Non Repeated Quadratic Factors
Repeated Quadratic Factors
Improper Fractions
Integration II
>
Integration Rules
Integration by Parts
Reduction Formulae
>
Reduction Formulae for various Trigonometric Functions
Reduction Formulae for other Functions
Trapezoidal (Trapezium) Rule
Module II - Sequences, Series & Approximation
>
Sequences
>
Introduction to Sequences
Finding the General Term of a Sequence
Limits of Sequences
Numerical Techniques
>
Newton - Raphson Method
Power Series
>
Introduction to Power Series
Taylor Series/Expansion
Module III - Counting, Matrices & Differential Equations
>
Permutations & Combinations
>
The Counting Principles
Permutations
>
Introduction to Permutations
Permutations with Repetitions
Permutations with Restrictions
Combinations
>
Introduction to Combinations
Combinations with Repetitions
Probability
>
Sample Space & Sample Points
Introduction to Probability
Types of Events
>
Events & Probability Rules
Equally Likely Events
Mutually Exclusive Events
Independent & Dependent Events
Tree Diagrams
Probability using Permutations & Combinations
Matrices II
>
Cramer's Rule
Row Reduction
>
Row Reduction to Echelon Form
Finding the Inverse of A Matrix using Row Reduction
Solving Simultaneous Equations using Row Reduction
Systems of Linear Equations
>
Linear Equations with Two Unknowns
Linear Equations with Three Unknowns
Applications of Matrices
Differential Equations
>
Introduction to Differential Equations
First Order Differential Equations
Second Order Differential Equations
>
Homogeneous Second Order Differential Equations
Non-Homogeneous Second Order Differential Equations
Equations Reducible to a Recognisable Form
PTPCE - Math 2022/2023
Students Blog Spot
Feedback/Comments
Syllabi & Past Paper Solutions
NCSE Mathematics
CSEC Mathematics
CSEC Additional Mathematics
Cape Pure Mathematics
Cape Applied Mathematics
CXC E-Tests
Jokes & Games
The Academy
Contact
"Mathematics is not about numbers, equations, computations or algorithms: it's about understanding "
William Paul Thurston (Mathematician)
Home
Sponsors
NVisionU
Chinmaya Vidyalaya High School
Garam Masala Indian Restaurant
Level
Primary
>
Standard 5
>
Numbers
>
Place Value
Writing Numbers to Words
Multiplication of Numbers
Division of Numbers
Factors
>
Introduction to Factors
Prime & Composite Numbers
Prime Factorization
Highest Common Factor (HCF)
Statistics
>
Introduction to Statistics
Measures of Central Tendency
Secondary
>
Form I
>
Exploring Numbers
>
Introduction to Numbers
Classification of Numbers
Integers
>
Introduction to Negative Numbers
Adding & Subtracting Integers
Multiplying and Dividing Integers
Order of Operations - BODMAS/BOMDAS/PEMDAS
Properties of Operations
Rational Numbers
Irrational Numbers
Concept of PI
Factors, Indices & Multiples
>
Factors
>
Introduction to Factors
Prime & Composite Numbers
Prime Factorization
Highest Common Factor (HCF)
Introduction to Indices
Multiples
>
Introduction to Multiples
Lowest/Least Common Multiple (LCM)
Algebra I
>
Introduction to Algebra
Algebraic Expressions
>
Introduction to Algebraic Expressions
Writing Algebraic Expressions
Substitution I
Simplification I
Factorization I
Algebraic Equations
>
Introduction to Algebraic Equations
Simple Algebraic Equations (Addition & Subtraction)
Simple Algebraic Equations (Multiplication & Division)
Solving Two- Step Algebraic Equations
Algebraic Inequalities/Inequations
>
Introduction to Algebraic Inequalities
Solving Algebraic Inequalities
Form I: End of Year Examination
Form II
>
Approximation
>
Introduction to Approximation
Decimal Places
Significant Figures
Standard Form / Scientific Notation
Quiz: Approximation
Number Bases
>
Introduction to Number Bases
Conversion of Other Bases to Base 10
Conversion of Base 10 to Other Bases
Conversion Between Bases
Addition & Subtraction of Bases
Quiz: Number Bases
Consumer Arithmetic
>
Introduction to Consumer Arithmetic
Cost Price & Selling Price
Profit & Loss
>
Profit & Loss Amount
Profit & Loss Percentage
Discount
Interest
>
Simple Interest
Compound Interest
Hire Purchase
Taxation
>
Introduction to Taxation
Value Added Tax (VAT)
Income Tax
Salaries & Wages
Commission
Currency Conversion
Statistics I
>
Introduction to Statistics
Measures of Central Tendency
Geometry I
>
Introduction to Geometry I
Angles & Degrees
>
Introduction to Angles & Degrees
Pairs of Angles
Polygons
>
Introduction to Polygons
Basic Triangles
Basic Quadrilaterals
Construction
>
Construction of Shapes using Protractor
Construction of Angles Using a Compass
Construction of Shapes using a Compass
Relations, Functions & Graphs I
>
Introduction to Coordinate Planes
Relations
Form II: EOT I Examination (2021/2022)
Form III
>
Sets
Indices
>
Introduction to Indices
Multiplication of Indices
Division of Indices
Power of a Power
Power of Zero
Negative Indices
Fractional Indices
Summary of the Laws of Indices
Ratios and Proportions
>
Ratios
Rates and Unit Rates
Proportions
>
Introduction to Proportions
Direct Proportion
Inverse Proportion
Trigonometry I
>
Introduction to Trigonometry
Pythagoras/Pythagorean Theorem
>
Introduction to Pythagoras Theorem
Application of Pythagoras Theorem
Converse of Pythagoras Theorem
Trigonometric Ratios
>
Introduction to Trigonometric Ratios
Evaluating Trig. Ratios
Finding Missing Sides Using Trig. Ratios
Finding Missing Angles Using Trig. Ratios
Triangles
>
Basic Triangles
Congruent & Similar Triangles
>
Introduction to Congruent & Similar Figures
Congruent Triangles
Similar Triangles
Algebra II
>
Simplification II
Simultaneous Equations (Linear)
>
Introduction to Simultaneous Equations (Linear)
Solving Simultaneous Equations Using Substitution
Transposition
>
Introduction to Transposition
Advanced Transposition Examples
Quadratic Equations
>
Introduction to Quadratic Equations
The Quadratic Formula
Factorisation
Completing the Square
Geometric Transformations
>
Geometric Transformations (Rotation)
Form IV
>
CSEC Mathematics (Form IV)
>
Statistics II
>
Ungrouped Data
>
Frequency Distributions & Graphs
Mean from a Frequency Distribution
Median from a Frequency Distribution
Mode from a Frequency Distribution
Range from a Frequency Distribution
Quiz: Ungrouped Data
Grouped Data
>
Frequency Distribution & Graphs
Mean from a Frequency Distribution
Median from a Frequency Distribution
Mode from a Frequency Distribution
Range from a Frequency Distribution
Quiz: Grouped Data
CSEC Past Paper Questions
Relations, Functions & Graphs II
>
Evaluating Functions
Inverse of a Function
Composite Functions
>
Introduction to Composite Functions
Domain & Range of Composite Functions
Inverse of Composite Functions
CSEC Past Paper Questions
Quiz: Relations, Functions & Graphs
Geometry II
>
Co-ordinate Geometry
>
Introduction to Co-ordinate Geometry
Gradient / Slope
Standard & Slope Intercept Form
Point Slope Form
Midpoint Formula
Distance Formula
Quiz: Co-ordinate Geometry I
Circle Geometry
>
Introduction to Circle Geometry
Theorem I
Theorem II
Theorem III
Theorem IV
Theorem V
Theorem VI
Theorem VII
Theorem VIII
Theorem IX
Matrices I
>
Introduction to Matrices
CSEC Additional Mathematics (Form IV)
>
Remainder & Factor Theorem
>
Long Division
Remainder & Factor Theorem
Quiz: Remainder & Factor Theorem
Quadratics
>
Quadratic Equations
Graph of a Quadratic Function
Discriminant of a Quadratic Equation
Equations Reducible to a Quadratic Equation
Quiz: Quadratics
Surds, Indices & Logarithms
>
Surds
>
Introduction to Surds
Sequences & Series
>
Sequences
>
Introduction to Sequences
Finding the General Term of a Sequence
Series
>
Introduction to Series
Arithmetic Series
Geometric Series
Convergent & Divergent Series
Co-ordinate Geometry
Form V
>
CSEC Mathematics (Form V)
>
Matrix Transformations
>
Introduction to Matrix Transformations
Enlargement
Translation
Rotation
Reflection
Composite Transformation
Trigonometry II
>
Sine Rule
Cosine Rule
Bearings
>
Introduction to Bearings
Calculating Bearings
Quiz: Bearings
Linear Programming
>
Introduction to Linear Programming
Application of Linear Programming
Distance & Velocity Time Graphs
>
Scalar & Vector Quantities
Distance - Time Graphs
Velocity - Time Graphs
>
Defining The Variables
V-T Graphs
Quiz: Velocity Time & Linear Programming
CSEC Mathematics Past Papers Video Tutorials
>
Paper I - Multiple Choice Past Paper Videos
Paper II - Structured Past Paper Videos
Mock Examination 2021
CSEC Additional Mathematics (Form V)
>
Vectors
>
Introduction to Vectors: Scalar & Vector Quantities
Types of Vectors
Integration I
>
Area bounded by a Curve and Two Lines Parallel to the Y-Axis
Lower VI
>
Pure Mathematics
>
Module I - BASIC ALGEBRA AND FUNCTIONS
>
Reasoning & Logic
>
Introduction to Reasoning & Logic
Truth Tables & Logic Connectives
Equivalence, Tautologies, Contradictions, Contingency & Satisfiability
Algebra of Propositions
Quiz: Reasoning & Logic
The Real Number System
>
Quiz: The Real Number System
Principle of Mathematical Induction
>
Introduction to Principle of Mathematical Induction
Proving Simple Statements using Principle of Mathematical Induction
Divisibility Test and Mathematical Induction
Polynomials
>
Quiz: Polynomials
Indices, Surds & Logarithms
>
Quiz: Indices, Surds & Logarithms
Applied Mathematics
>
Module I - COLLECTING AND DESCRIBING DATA
>
Data Collection
>
Primary and Secondary Data
Quantitative and Qualitative Data
Discrete and Continuous Data
Population and Sample
Sampling and Sampling Frames
Sampling Methods
Data Collection Instruments
Upper VI
>
Pure Mathematics
>
Module I - Complex Numbers & Calculus II
>
Complex Numbers
>
Introduction to Complex Numbers
Argand Diagram
Modulus & Argument
Trigonometric & Exponential Form
De Moivre's Theorem & Pascal's Triangle
Locus
Differentiation
>
Differentiation Rules
Implicit Differentiation
Partial Derivatives
>
Introduction to Partial Derivatives
First Order Partial Derivatives
Second Order Partial Derivatives
Summary & Questions
Partial Fractions
>
Introduction to Partial Fractions
Proper Fractions
>
Non Repeated Linear Factors
Repeated Linear Factors
Non Repeated Quadratic Factors
Repeated Quadratic Factors
Improper Fractions
Integration II
>
Integration Rules
Integration by Parts
Reduction Formulae
>
Reduction Formulae for various Trigonometric Functions
Reduction Formulae for other Functions
Trapezoidal (Trapezium) Rule
Module II - Sequences, Series & Approximation
>
Sequences
>
Introduction to Sequences
Finding the General Term of a Sequence
Limits of Sequences
Numerical Techniques
>
Newton - Raphson Method
Power Series
>
Introduction to Power Series
Taylor Series/Expansion
Module III - Counting, Matrices & Differential Equations
>
Permutations & Combinations
>
The Counting Principles
Permutations
>
Introduction to Permutations
Permutations with Repetitions
Permutations with Restrictions
Combinations
>
Introduction to Combinations
Combinations with Repetitions
Probability
>
Sample Space & Sample Points
Introduction to Probability
Types of Events
>
Events & Probability Rules
Equally Likely Events
Mutually Exclusive Events
Independent & Dependent Events
Tree Diagrams
Probability using Permutations & Combinations
Matrices II
>
Cramer's Rule
Row Reduction
>
Row Reduction to Echelon Form
Finding the Inverse of A Matrix using Row Reduction
Solving Simultaneous Equations using Row Reduction
Systems of Linear Equations
>
Linear Equations with Two Unknowns
Linear Equations with Three Unknowns
Applications of Matrices
Differential Equations
>
Introduction to Differential Equations
First Order Differential Equations
Second Order Differential Equations
>
Homogeneous Second Order Differential Equations
Non-Homogeneous Second Order Differential Equations
Equations Reducible to a Recognisable Form
PTPCE - Math 2022/2023
Students Blog Spot
Feedback/Comments
Syllabi & Past Paper Solutions
NCSE Mathematics
CSEC Mathematics
CSEC Additional Mathematics
Cape Pure Mathematics
Cape Applied Mathematics
CXC E-Tests
Jokes & Games
The Academy
Contact