Course

Maths CAIE Key Stage 4

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263 Lessons

Mathematics

The curriculum framework explores six content areas: number, algebra, geometry, measure, handling data and problem solving. The first five content areas are all underpinned by problem solving, which provides a structure for the application of mathematical skills. Mental strategies are also an important part of the number content. The curriculum focuses on principles, patterns, systems, functions and relationships, so that learners apply their mathematical knowledge and develop a holistic understanding of the subject.

Lessons

Further algebra 01 (MULTIPLICATION)

Further algebra 02 (DIVISION)

Further algebra 03 - 04 (BRACKETS AND TO THE POWER OF ZERO)

Basic algebra 01 (INTRODUCTION)

Basic algebra 02 (COLLECTING LIKE TERMS)

Basic algebra 03 (MULTIPLICATION)

Basic algebra 04 (CO-ORDINATES)

Basic algebra 05 (DRAWING GRAPHS USING A TABLE OF VALUES)

Basic algebra 06 (FACTORISING)

Linear sequences 01 (IDENTIFYING A LINEAR SEQUENCE)

Linear sequences 02 (GENERATING A LINEAR SEQUENCE GIVEN THE NTH TERM )

Patterns and sequences 01 (TERM TO TERM RULE)

Patterns and sequences 02 (POSITION TO TERM RULE)

Patterns and sequences 03 (WRITING THE NTH TERM)

Rearranging the subject of a formula 01 (INTRODUCTION)

Rearranging the subject of a formula 02 (QUESTIONS USING FRACTIONS)

Rearranging the subject of a formula 03 (ADVANCED WORKED EXAMPLES)

Simplifying and solving algebraic equations 01 (INTRODUCTION)

Simplifying and solving algebraic equations 02 (FRACTIONS & BRACKETS)

Solving equations 01 (SOLVING A LINEAR EQUATION)

Solving equations 02 (INVERSE METHOD)

Solving equations 03 (WORKED EXAMPLES)

Solving equations 04 (INVOLVING FRACTIONS)

Solving inequalities 01 (INTRODUCTION)

Solving inequalities 02 (FRACTIONS & BRACKETS)

Solving inequalities 03 (ADVANCED WORKED EXAMPLES)

Solving inequalities 04 (USING GRAPHS)

Solving linear equations 01 (INTRODUCTION)

Solving linear equations 02 (EQUATIONS WITH LETTERS ON BOTH SIDES)

Solving linear equations 03 (ADVANCED WORKED EXAMPLES)

Substitution 01 (INTRODUCTION)

Substitution 02 (SUBSTITUTING A NEGATIVE NUMBER)

Substitution 03 (DIVISION)

Substitution 04 (BRACKETS)

Substitution 05 (INDICES)

Substitution 06 (REVIEWS EXAMPLES)

Trial and Improvement 01 (SOLVING EQUATIONS TO ONE DECIMAL PLACE)

Trial and Improvement 02 (SOLVING EQUATIONS TO 2 DECIMAL PLACES)

Trial and Improvement 03 (WRITING FORMULAS)

Handling data - AVERAGES 01 (MEAN, MEDIAN AND MODE)

Handling data - AVERAGES 02 (MEAN, MEDIAN AND MODE)

Handling data - CHARTS AND DATA 01 (QUESTIONNAIRES)

Handling data - CHARTS AND DATA 02 (CONSTRUCTING A DATA COLLECTION TABLE)

Handling data – CHARTS AND DATA 03 (BAR CHARTS)

Handling data – CHARTS AND DATA 04 (PIE CHARTS)

Handling data – CHARTS AND DATA 05 (GROUPED FREQUENCY DIAGRAMS)

Handling data – CHARTS AND DATA 06 (FREQUENCY POLYGONS)

Probability 01 (PROBABILITY LINE)

Probability 02 (CALCULATING PROBABILITY)

Handling data – SCATTER DIAGRAMS 01 (CORRELATION INTRODUCTION)

Probability 03 (CALCULATING EXPECTED OUTCOMES)

Handling data – SCATTER DIAGRAMS 02 (CONSTRUCTING A SCATTER DIAGRAM)

Probability 04 (CONSTRUCTING A SAMPLE SPACE DIAGRAM)

Probability 05 (INTERPRETING A SAMPLE SPACE DIAGRAM)

Handling data – SCATTER DIAGRAMS 03 (DRAWING A LINE OF 'BEST FIT')

Handling data – SCATTER DIAGRAMS 04 (DRAWING A LINE OF 'BEST FIT' BY MEAN)

Number - Converting decimals, fractions and percentages 01 (INTRODUCTION)

Number - Converting decimals, fractions and percentages 02

Number - Decimals 01 (ORDERING DECIMALS)

Number - Decimals 02 (ADDITION AND SUBTRACTION OF DECIMALS)

Number – Decimals 03 (CALCULATIONS WITHOUT USING A CALCULATOR)

Number – DIVISION 01 (SHORT DEVISION)

Number – DIVISION 02 (LONG DIVISION - TIMES TABLE METHOD)

Number – DIVISION 03 (LONG DIVISION - TRADITIONAL METHOD)

Number – DIVISION 04 (LONG DIVISION- CHUNKING METHOD)

Number – DIVISION 05 (MORE EXAMPLES)

Number – ESTIMATING 01 (INTRODUCTION)

Number – ESTIMATING 02 (DECIMALS)

FRACTIONS 01 (ORDERING FRACTIONS)

FRACTIONS 02 (ADDITION AND SUBTRACTION OF FRACTIONS)

FRACTIONS 03 (MULTIPLYING FRACTIONS BY FRACTIONS)

FRACTIONS 04 (DIVIDING FRACTIONS BY FRACTIONS)

FRACTIONS 05 (DIVIDING USING FRACTIONS)

FRACTIONS 06 (EQUIVALENT FRACTIONS)

FRACTIONS 07 (FRACTION OF AN AMOUNT)

MIXED FRACTIONS 01 (FORMING AN IMPROPER FRACTION)

MIXED FRACTIONS 02 (ADDITION)

MIXED FRACTIONS 03 (SUBTRACTION)

MULTIPLICATION METHODS 01 (GRID)

MIXED NUMBERS 01 (MULTIPLICATION)

MIXED NUMBERS 02 (DIVISION)

MULTIPLICATION METHODS 02 (COLUMN)

MULTIPLICATION METHODS 03 (CHINESE)

NEGATIVE NUMBERS 01 (INTRODUCTION)

NEGATIVE NUMBERS 02 (SOLVING PROBLEMS WITH NEGATIVE NUMBERS)

NEGATIVE NUMBERS 03 (ORDER OF OPERATIONS)

PERCENTAGES 01 (CALCULATING PERCENTAGE INCREASE)

PERCENTAGES 02 (CALCULATING PERCENTAGE DECREASE)

PERCENTAGES 03 (DECREASING USING A CALCULATOR)

PERCENTAGES 04 (REVERSE PERCENTAGES)

PERCENTAGES 03 (DECREASING USING A CALCULATOR)

PERCENTAGES 05 (REVERSE PERCENTAGES GCSE QUESTIONS)

PERCENTAGES 06 (SIMPLE INTEREST)

PERCENTAGES 07 (COMPOUND INTEREST)

PERCENTAGES 08 (DEPRECIATION)

Powers 01 (INTRODUCTION)

Powers 02 (10S, 100S AND 1000S)

Powers 03 (DIVIDING)

Powers and Reciprocals 01 (INTRODUCTION)

Ratio 01 (INTRODUCTION)

Powers and Reciprocals 02 (FRACTIONAL POWERS)

Ratio 02 (CANCELLING DOWN A RATIO)

Rounding to significant 01 (DECIMAL PLACES)

Rounding to significant 02 (SIGNIFICANT FIGURES)

Rounding to significant 03 (DECIMALS AND SIGNIFICANT FIGURES)

Rounding to significant 04 (ROUNDING TO ONE OR TWO DECIMAL PLACES)

Rounding to significant 05 (ROUNDING TO ONE OR TWO SIGNIFICANT FIGURES)

Types of number 01 (FACTORS)

Types of number 02 (MULTIPLES)

Types of number 03 (PRIME)

Types of number 04 (SQUARE)

Types of number 05 (CUBE)

Types of number 06 (ROOTS)

Types of number 07 (WRITING A NUMBER AS A PRODUCT OF IT'S PRIME NUMBERS IN INDEX FORM)

3D Shapes 01 (FACES,EDGES AND VERTICES)

3D Shapes 02 (PLANS AND ELEVATIONS)

3D Shapes 03 (DRAWING 3D SHAPES)

Angles 01 (TYPES OF ANGLE)

Angles 02 (MEASURING ANGLES)

Angles 03 (PARALLEL LINES, PERPENDICULAR LINES AND CORRESPONDING ANGLES)

Angles 04 (DRAWING ANGLES)

Area and Volume 01 (AREA AND FORMULAS)

Area and Volume 02 (CUBE)

Area and Volume 03 (CYLINDER)

Area and Volume 04 (PRISM)

Area and Volume 05 (TRIANGULAR PRISM)

Area and Volume 06 (VOLUME OF A TRAPEZIUM FACED PRISM)

Area of a Triangle using the sign rule 01 (INTRODUCTION)

Area of a Triangle using the sign rule 02 (WORKED EXAMPLES)

Bearings 01 (INTRODUCTION)

Bearings 02 (PRACTICAL APPLICATIONS)

Circles 01 (CIRCUMFERENCE OF A CIRCLE)

Circles 02 (AREA OF A CIRCLE)

Construction 01 (THE LENGTH OF THE 3 SIDES)

Construction 02 (THE LENGTH OF 1 SIDE AND THE SIZE OF 2 ANGLES)

Construction 03 (QUADRILATERALS)

Exterior Angles 01 (A POLYGON)

Exterior Angles 02 (A REGULAR POLYGON)

Metric and Imperial conversion 01 (INTRODUCTION)

Metric and Imperial conversion 02 (CONVERSION BETWEEN METRIC UNITS)

Metric and Imperial conversion 03 (LENGTH)

Metric and Imperial conversion 04 (WEIGHT)

Metric and Imperial conversion 05 (CAPACITY)

Metric and Imperial conversion 06 (AREA AND VOLUME)

Pythagoras’ Theorem 01 (INTRODUCTION)

Pythagoras’ Theorem 02 (CALCULATING A MISSING SIDE)

Pythagoras’ Theorem 03 (CHALLENGING WORKED EXAMPLE)

Pythagoras’ Theorem 04 (PROOF)

Surface Area 01 (CUBE AND CUBOID)

Surface Area 02 (CYLINDER)

Transformations 01 (ENLARGEMENTS)

Transformations 02 (LINES OF SYMMETRY (INTRODUCTION))

Transformations 03 (REFLECTING AN OBJECT ON THE X AXIS AND ON THE Y AXIS)

Transformations 04 (REFLECTION, ORDER OF ROTATIONAL SYMMETRY)

Transformations 05 (REFLECTION, ROTATING AN OBJECT)

Transformations 06 (TRANSLATIONS)

Calculating The Length Of Lines Given 2 Co-Ordinates 01 (INTRODUCTION)

Calculating The Length Of Lines Given 2 Co-Ordinates 02 (WORKED EXAMPLES)

Completing The Square 01 (INTRODUCTION)

Completing The Square 02 (WITH A SQUARE IN FRONT)

Direct and Inverse Proportionality 01 (DIRECT)

Direct and Inverse Proportionality 02 (INDIRECT)

Direct and Inverse Proportionality 03 (PRODUCING A GRAPH USING DATA)

Equations Involving Fractions 01 (INTRODUCTIONS)

Equations Involving Fractions 02 (WORKED EXAMPLES 01)

Equations Involving Fractions 03 (NEGATIVE NUMBERS)

Expanding Double Brackets 01 (TABLE METHOD)

Expanding Double Brackets 02 (COVER UP METHOD)

Expanding Double Brackets 03 (CHARLIE'S FACE METHOD)

Gradient of a curve at a point 01 (FINDING THE GRADIENT OF A CURVE AT A POINT)

Gradient of a curve at a point 02 (DRAWING A CURVE AT A POINT)

Quadratic Sequences 01 (INTRODUCTION)

Quadratic Sequences 02 (DIAGRAMS)

Quadratic Sequences 03 (GIVEN THE NTH TERM)

Solving Quadratic Equations by Factorising 01 (INTRODUCTION)

Solving Quadratic Equations by Factorising 02 (NUMBER IN FRONT OF THE LETTER)

Solving Quadratic Equations by Factorising 03 (ALTERNATIVE TO TRIAL AND ERROR METHOD)

Solving Quadratic Equations using The Formula 01 (INTRODUCTION)

Solving Quadratic Equations using The Formula 02 (POSITIVE EQUATIONS)

Solving Quadratic Equations using The Formula 03 (NEGATIVE EQUATIONS)

Solving Simultaneous Equations by Graph 01 (INTRODUCTION)

Solving Simultaneous Equations by Graph 02 (EQUATION Y=2X-4 AND 2X+3Y=12)

Solving Simultaneous Equations by Graph 03 (WHERE X AND Y ARE ON THE SAME SIDE)

Solving Simultaneous Equations 01 (USING ALGEBRA)

Solving Simultaneous Equations 02 (ALGEBRA PRACTICAL USE)

Averages 01 (TABULATED DATA)

Averages 02 (BOX AND WHISKER DIAGRAMS)

Charts and Data 01 (HISTOGRAMS)

Charts and Data 02 (HISTOGRAMS - INTERPOLATION)

Cumulative Frequency Polygons 01 (INTRODUCTION)

Cumulative Frequency Polygons 05 (RANDOM SAMPLING)

Cumulative Frequency Polygons 06 (STRATIFIED SAMPLING)

Cumulative Frequency Polygons 07 (STANDARD DEVIATION)

Tree Diagrams 01 (INTRODUCTION)

Tree Diagrams 02 (DEPENDANT)

Tree Diagrams 03 (INDEPENDENT)

Boundaries 01 (INTRODUCTION)

Boundaries 02 (WORKED EXAMPLES)

Boundaries 03 (WRITING RECURRING DECIMALS AS FRACTIONS)

Recognising a Formula 01 (INTRODUCTION)

Recognising a Formula 02 (WORKED EXAMPLES)

Standard Index Form 01 (INTRODUCTION)

Standard Index Form 02 (REWRITING NUMBERS)

Surds 01 (INTRODUCTION)

Surds 02 (SIMPLIFYING)

Surds 03 (SIMPLIFYING - TABLE METHOD)

Surds 05 (RATIONALISING)

Surds 06 (RATIONALISING - ADVANCED QUESTIONS)

Area of composite shapes 01 (INTRODUCTION)

Area of composite shapes 02 (WORKED EXAMPLES)

Calculating the area and perimeter 01 (OF A SECTOR)

Calculating the area and perimeter 02 (OF THE SHADED AREA OF A SECTOR)

Circle Theorems 01 (1 to 4)

Circle Theorems 02 (5 to 7)

Congruency 01 (INTRODUCTION)

Congruency 02 (SAS)

Congruency 03 (ASA)

Congruency 04 (RHS)

Cosine Rule 01 (DERIVING THE COSINE RULE)

Cosine Rule 02 (CALCULATING MISSING SIDES)

Cosine Rule 03 (CALCULATING A MISSING SIDES WORKED EXAMPLES)

Cosine Rule 04 (CALCULATING MISSING ANGLES)

Cosine Rule 05 (CALCULATING MISSING ANGLES WORKED EXAMPLES)

Cosine Rule 06 (PROOF)

Density, Mass and Volume 01 (INTRODUCTION)

Density, Mass and Volume 02 (CALCULATING MASS)

Density, Mass and Volume 03 (CALCULATING DENSITY)

Graphs of Trigonometry Functions 01 (SINE AND COSINE INTRODUCTION)

Graphs of Trigonometry Functions 03 (SINE EQUATIONS POSITIVE)

Graphs of Trigonometry Functions 04 (COSINE EQUATIONS POSITIVE)

Graphs of Trigonometry Functions 05 (TANGENT EQUATIONS POSITIVE)

Graphs of Trigonometry Functions 06 (SINE EQUATIONS NEGATIVE)

Graphs of Trigonometry Functions 07 (COSINE EQUATIONS NEGATIVE)

Graphs of Trigonometry Functions 08 (TANGENT EQUATIONS NEGATIVE)

Graphs of Trigonometry Functions 09 (CAST METHOD EQUATIONS POSITIVE)

Graphs of Trigonometry Functions 10 (CAST METHOD EQUATIONS NEGATIVE)

Graphs of Trigonometry Functions 11 (3D PYTHAGORAS AND TRIGONOMETRY)

Similar Figures 01 (INTRODUCTION)

Similar Figures 02 (PROVING SIMILAR TRIANGLE SIMILAR ANGLES)

Similar Figures 03 (PROVING SIMILAR TRIANGLE SIMILAR SIDES)

Similar Figures 04 (PROVING SIMILAR TRIANGLE CALCULATING MISSING SIDES)

Similar Figures 05 (PROVING SIMILAR TRIANGLE CALCULATING MISSING SIDES EXAMPLES 2)

Similar Figures 06 (AREA, VOLUME AND SCALE FACTORS)

Similar Figures 07 (FINDING AREA AND SCALE FACTORS)

Similar Figures 08 (FINDING AREA AND SCALE FACTORS EXAMPLES 2)

Sine Rule 01 (DERIVING THE SINE RULE)

Sine Rule 02 (CALCULATING MISSING SIDES)

Sine Rule 03 (CALCULATING MISSING ANGLES)

Sine Rule 04 (3D SHAPES)

Sine Rule 05 (OF A CYLINDER)

Sine Rule 06 (OF A TRIANGULAR PRISM)

The Trapezium Rule 02 (PRACTICAL APPLICATIONS)

Transformation of Graphs 01 (INTRODUCTION)

Transformation of Graphs 02 (TRANSFORMATIONS PARALLEL TOO THE X-AXIS)

Transformation of Graphs 03 (TRANSFORMATIONS PARALLEL TOO THE X-AXIS EXAMPLE 2)

Trigonometry 01 (INTRODUCTION)

Trigonometry 02 (CALCULATING MISSING ANGLES)

Trigonometry 03 (CALCULATING MISSING SIDES)

Vectors 01 (INTRODUCTION)

Vectors 02 (WORKED EXAMPLES)

Vectors 03 (VOLUME OF A FRUSTUM)

Vectors 04 (VOLUME OF A PRISM)

Vectors 05 (VOLUME OF PYRAMIDS, CONES AND SPHERES)