· Provide clear mathematical thinking and expression in the learner
· Develop the learners’ mathematical knowledge and skills
· Enrich the learners’ understanding of mathematical concepts in order to facilitate further study of the discipline
· Build up an appreciation of mathematical concepts so that the learner can apply these for problem solving in everyday life.
· Enable the learner represent, interpret and use data in a variety of forms
Inculcate a desire to develop different career paths in the learners
· Assimilate necessary mathematical concepts for use in everyday life such as environment and other related disciplines.
· Think mathematically and accurately in problem solving skills and apply these skills to formulate and solve mathematical and other related problems.
· Develop necessary skills needed to apply mathematical concepts and skills in other disciplines.
· Produce imaginative and creative work from mathematical concepts and ideas.
· Develop abilities and ideas drawn from mathematics to reason logically, communicate mathematically, and learn independently without too much supervision (self-discipline).
· Develop positive attitudes towards mathematics and use it in other subjects such as science and technology.
· Apply mathematical tools such as information and communication technology in the learning of other subjects.
· Use mathematics for enjoyment and pleasure.
Develop understanding of algebra, geometry, measurements and shapes
Introduction to Set Theory Basic Set Theory, Part 1 Basic Set Theory, Part 2 Set Operations
Basic Operation on Sets Union, Intersection, Complement Basic Set Theory, Part 3 Basic Set Theory, Part 4 Basic Set Theory, Part 5
Intersection, Union and Complement 2 Set Operations & Venn Diagrams
Set Operations & Venn Diagrams, part 2 Defining Sets Set Equality and Subsets
Venn Diagrams, Unions, and Intersections
Complement and Relative Complement Venn Diagrams with 3 sets
Intro to indices Algebra Introducing Indices Rules of Indices Law of indices (all index laws)
Laws of Indices Part 2: Negatives and Fractions Law of indices (all index laws) Solving Indices Equation
Solving Exponential Equations With Different Bases Using Logarithms Solving Exponential Equations
Base and Power, Rules, Results and Examples Solving equations with an unknown Index part 2
How to work with indices (powers) Laws of Indices - Adding & subtracting powers of numbers Adding and Subtracting Powers Fractional Exponents How to deal with fractional powers
What happens when the power isn't a whole number? (Fractional Indices)
Fractional and Negative indices Index form (power of unit fractions)
Algebra Basics: What Is Algebra? Solving Basic Equations Part 2 What Are Polynomials?
Solving 2-Step Equations Laws Of Exponents What Are Functions? Graphing On The Coordinate Plane
Exponents In Algebra Simplifying Polynomials
Solving Basic Equations Factorising Algebraic Expressions Factorising Algebraic Expressions (All Positives) Factorising Algebraic Expressions ( With Negatives) Factorising Algebraic Expressions (Grouping)
Factorising Algebraic Expressions (Non-Monic Quadratic) Factorising Algebraic Expressions
(The Quadratic Formula) Factorising Algebraic Fractions
Factorising Algebraic Expressions Simplifying Algebraic Expressions Simplifying Algebraic Fractions
Introduction to matrices An Introduction to Matrices 2 Matrices Introduction to Matrices 3
Transpose of a matrix Transpose of a Matrix 2 Multiplying Matrices Multiplying Matrices 2
Matrix & its Inverse Inverse of a Matrix Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors Inverse of a 2x2 matrix Inverse of a 3x3 Matrix
How to calculate distances on the map or in reality using the map scale
Map and simple conversion scale: converting Using map scales and ratios 2 Using Scale Maps Distance
Mapwork: Ratio scale Scaling Up and Scaling Down Ratios
How to convert map scales Ratio on a Map
Similar Shapes Length, Area and Volume
Areas and Volumes of Similar Solids
Surface Areas and Volumes of Similar Solids Similar Solids Ratios And Rates
Distance Time Graphs - Basic Introduction Distance Time Graphs explained in maths
Conversion between Speed-Time and Distance-Time graphs Conversion of Speed time to Distance time Graph Distance Time Graphs Velocity Time Graphs(speed) Average Speed Word Problems
Time Speed Distance Tricks – Average Speed
Acceleration Calculations - Initial Velocity Acceleration Calculation - Solve for Distance and Velocity
Acceleration Calculations - Deceleration Acceleration Calculations - Velocity and Distance Acceleration Concept Retardation Explained Calculating Distance from a velocity versus time graph
Why distance is area under velocity-time line Velocity - speed, distance and time
Displacement Velocity Acceleration Time Graphs - Slope & Area
Distance Time Graphs distance time graphs Velocity Time Graphs Speed, velocity and acceleration
Velocity-time graphs Velocity Time Graphs 2 Area Under Velocity Time Graphs Kinematic Equations of Motion.
Equations of Motion Velocity Time Graph - Problem Velocity vs. Time Graph Revision Question and answer Estimating distance travelled under a curved V/t graph Displacement time graphs
Simple Interest Calculate Percentages: 5 Easy Methods Solving an Investment Problem
Simple Interest Formula Percentage Trick - Solve precentages mentally How to calculate ratio - sharing money Dividend Calculations Word problems Shares & dividends
How To Compute Dividends How to Calculate EPS (Earnings Per Share) The Price-to-Earnings (P/E) Ratio
PE Ratio, Dividend Yield, Dividend Payout How to Calculate the Dividend Payout Ratio
Introduction to Bearings Bearings Bearings Problem Bearing Problems & Navigation Finding Bearings
Bearings 2 Calculating Bearings Bearings 3 bearings and scale drawings
Bearings 4 practice loci and scale drawing Bearings problems Practice bearings and scale drawing
True Bearings and Trigonometry Angle of Elevation/Angle of Depression Problems
How to use a Scientific Calculator Casio Calculator Tutorial - Overview of Essential Buttons
Complete a table and graph using mode PC Components System Parts
What Are the 4 Basic Functions of a Computer? Computer Operations Intro to Computer Architecture
Introduction to Algorithms What's an algorithm?
Algorithms Algorithms 2 Algorithms Implementing an algorithm from a flow chart Basic Fast Multiplication Division standard algorithm method Division Algorithm for Polynomials
Absolute, Relative, Relative Percentage Percent Error Made Easy Error and Percent Error
How to Calculate Relative Error Relative Error and Percent Error Percentage Error in Measurement
Approximation & Estimation Estimation and Approximation
Rounding Estimation approximation rounding How to approximate square roots
Estimation and Approximation 2 Estimation Limit of Accuracy Solving Limits of Accuracy Problems
Introduction to Limits How to Find the Limit at Infinity How to Find Any Limit
Introduction to Arithmetic Progressions Introduction to Arithmetic Progressions 2
Arithmetic Progression part 1 Arithmetic Progression part 2 Arithmetic Progression part 3
Nth term of AP Arithematic Progression Nth term of AP Find missing terms of AP Example nth term of AP
Example nth term of AP 2 Example nth term of AP 3 Sum of n terms of AP Arithmetic Progression cont. Arithmetic Progression cont. 2 Example and Summary What is a geometric progression?
Intro to Geometric Progressions
Intro to Geometric Progressions (1 of 2) Intro to Geometric Progressions (2 of 2)
Introduction To Coordinate Geometry How to Find the Distance Between Two Points
Find the Distance Between Two Points-Pythagorean Theorem
Find Distance Between 2 Points on Coordinate Plane Pythagorean Theorem on a Coordinate Plane
Midpoint Using The Midpoint Formula
Midpoint Formula Midpoint of a line segment Gradient of a straight line
Gradient, midpoint, equation and length of a line Midpoint, Distance, Gradient of an Interval.
Gradients of lines find the equation of a straight line graph with two points Finding the Equation of a Line Linear Equations Finding the Equation of a Line in Slope Y-Intercept Gradient of a straight line
Parallel and Perpendicular Lines Parallel and Perpendicular Lines
Equations of Lines Parallel and Perpendicular to a Given Line
Introduction - Relations and functions What Are Functions? Find The Inverse of a Function Inverse Functions Verifying Inverse Functions Finding the inverse of a function Find the Inverse of a Function
Composite Functions Domain Fractions & Square Roots Composite and Inverse Functions
Evaluating composite functions example Composite Functions Relations & Functions Composition of Relations
Intro to Quadratic Functions (Relations) The Vertex Form of Quadratic Functions
Vertical Reflection of Quadratic Functions Horizontal Translation of Quadratic Functions
Maximum and Minimum of a Quadratic Function Factored Form of a Quadratic Equation
How to Factor Quadratic Equations Solving Quadratic Equations (by Factoring)
ntroduction to the quadratic equation Quadratic Equations How to Solve Quadratic Equations
Solve Quadratic Equations by Completing the Square How To Solve Quadratic Equations By Factoring
Introduction to Quadratic Theory Introduction to Quadratic Theory 2 5 Ways to Solve Quadratic Equations
4 Methods of Solving Quadratic Equations Solve Quadratic Equations using Quadratic Formula
Introduction to Variation Functions Introduction to Variation; Choosing Variation, Interactive
Direct and inverse variation Direct Inverse and Joint Variation Direct Variation VS Inverse Variation
Inverse Variation Direct Variation Direct Variation: Multiple Representations
Direct Variation Tables and Graphs Graph in Direct Variation Direct Variation Graphing Inverse Variation Graphing Inverse Variations with shifts Direct and Inverse Variation Equations
Everything About Circle Theorems Circle Theorem: Part 1 Circle Theorems Properties of Circles
Angle Properties of Circle Introduction Angles in a Circle Inscribed Angles in Circles Circles and Angle Properties Angles in Circles
Circle Theorems Circle Theorems 2 Circumference, Area, Arc Length, Inscribed Angles & Chords
Circle Theorems-revision Circle Theorem revision 2 Circle Theorems -revisions 3 Circle Theorem-revision 4
Tangent lines and circles Tangent Lines to a Circle Tangents of Circles
An Introduction To Trigonometry Basic trigonometry Trigonometric Ratios Trigonometry SOH CAH TOA
Sine Cosine Tangent Find Exact Values of Trig Functions Trigonometry SOHCAHTOA 2 Sine and Cosine Rule Area of a Triangle, Given 3 Sides
Area Of A Non-Right Angle Triangle Area of a Triangle Using Trigonometry
How To Solve Two Triangle Trigonometry Problems Law of Sines & Cosines Area of a Triangle
Graphing Sine and Cosine Trig Functions
Trigonometric Equations Using Identities Solving Trigonometric Equations By Finding All Solutions
Mensuration Introduction Mensuration Area Surface Area of a Pyramid & Volume of Square Pyramids
Arc Length of a Circle Formula Triangular Prism Rectangular Prism
Volume How to find the Surface Area and Volume of Prisms Volume of a Cylinder and Surface Area of a Cylinder Tricks To Understand Mensuration Formulas Area and volume of common solids
Introduction to Probability. Probability explained Probability Addition rule for probability Total Probability Rule Laws of Probability Probability Sample Space & Tree Diagrams Probability Tree Diagrams
Probability trees-revision Probability of Compound Events & Tree Diagrams Compound Events with Tree Diagrams and Tables Independent Events Example Independence of Two Events
Probability Concepts and Applications How Is Probability Used in Real Life? Practical Applications of probability
Introduction to Statistics Introduction to Statistics 2 Mean, median, and mode Finding Cumulative Frequency Cumulative Relative Frequency Table Cumulative Frequency Constructing a Frequency Distribution
Mean, Median, and Mode of Grouped Data
Quartiles, Deciles, & Percentiles Cumulative & Relative Frequency Ungrouped frequency tables Analyzing a cumulative relative frequency graph Analyzing a cumulative relative frequency graph
Finding Percentiles & Outliers Cumulative Frequency Curves Estimated Mean, Median and Quartiles
Standard Deviation of Grouped Data standard deviation for grouped data 2 variance for grouped data
What is a function? Graphing On The Coordinate Plane Graphing Inverse Functions Graphing Cubic Functions Calculate the gradient of a curve Gradient at a point on a curve Intro to Area Under a Curve
Estimating the Area Under a Curve Domain & range- With Fractions, Square Roots, & Graphs
Introduction to Linear programming Linear Programming - Introduction 2 Linear Programming
Linear Programming - Formulation Linear programming lesson
Linear Programming - Formulation 2 Graphical Solution Introduction to graphing inequalities
Two-variable linear equations and their graphs Graphing Linear Inequalities in Two Variables
Graphing systems-Two variables Find the Minimum of an Objective Function
Find the Max and Min of an Objective Function Find the Maximum of an Objective Function
Finding the Minimum or Maximum value Graphical Solution - Minimization Problem
Linear programming in real life 1 Linear programming real life 2 Linear programming in real life 3
Introduction to Vectors Introduction to Vectors 2 What is a vector? Adding vectors
Adding and subtracting vectors Adding and Subtracting Vectors Graphically
Subtracting vectors Transformations - translating a shape
Transformations Rotating Shapes Transformations - Reflecting Shapes Transformations - enlarging shapes Vectors and Translations Multiplying a vector by a scalar Addition, Subtraction, and Scalar Multiplication
Understanding multiplying vectors by scalars How to Show Points are Collinear
Geometric Proofs Using Vectors Geometric Vectors
Introduction to transformations Geometry - Translations Translations Translations Reflections and Rotations Geometry- Reflections Common Core Geometry Transformations Reflections How Do I Rotate a Figure?
Rotating Objects 90 Degrees Around The Origin
Enlargement Center of Enlargement How to Enlarge with a Positive Scale Factor Transformations stretch Stretch and shear Linear Transformation Scaling and Shearing Transformations Combining Transformations 1
Combining Transformations 2 Combining Transformations 3 Combining Transformations 4
Earth Geometry Great and Small Circles Great Circle Distance Distance between two points on small circle Small Circles Longitude and Latitude Latitude and Longittude Latitudes and Longitudes
Finding distance with latitude and longitude
Calculating Distance (in degrees) with Latitude Distance between two points on great circle Parallel lines of latitude Vs distance greater circle Angular & Linear Speed of a Circle Nautical miles and knots
Nautical Miles & Knots Minutes and Nautical miles What`s 1 knot?
Introduction to Calculus Introduction, Basic Review Calculus in 10 Minutes Differential Calculus
Tips in Differential Calculus Differentiation Differentiation Rules Differentiation from 1st Principles
Slope and Equation of Normal & Tangent Line of Curve at Given Point Tangents and Normals
How to find Equations of Tangents and Normals Basic Integration Problems Indefinite Integral Basic Integration Intro to Area Under a Curve Finding the Area Under a Curve
Finding Areas Between Curves Finding the Area Under the Curve 2 Area between curves
Probability || Full Chapter Sets || Full Chapter Statistics || Full Chapter
Limits and Derivatives || Full Chapter
Introduction to Three Dimensional Geometry || Full Chapter Conic Sections || Full Chapter
Straight Lines || Full Chapter Sequence and Series || Full Chapter Binomial Theorem || Full Chapter
Linear Inequalities || Full Chapter Complex Numbers and Quadratic Equations || Full Chapter
Principle of Mathematical Induction || Full Chapter Trigonometric Functions || Full Chapter
Relation and Functions || Full Chapter Relations and Functions || Full Chapter
Inverse Trigonometric Functions || Full Chapter Matrices || Full Chapter Determinants || Full Chapter
Continuity and Differentiability || Full Chapter Application of Derivatives || Full Chapter
Integrals || Full Chapter Application of Integrals || Full Chapter Differential Equations || Full Chapter
Vector Algebra || Full Chapter Three Dimensional Geometry || Full Chapter
Linear Programming || Full Chapter Probability || Full Chapter 2