CIE IGCSE Maths: Extended Revision Notes - School

CIE IGCSE maths-extended Revision Notes

Concise resources for the CIE IGCSE maths extended Course

Full Portion Revision Book

Unit 1. Number

Worksheet

1.1 Different types of numbers

a) Different types of numbers & surds

1.2 Multiples & factors

a)Multiples & Factors Part 1

b)Multiples & factors Part 2

1.3LCM and HCF

1.4Prime Factors

1.5 Powers & roots

1.6 Working with directed numbers

1.7 Order of Operations

1.8 Rounding Numbers

Revision Worksheet 1

Revision Worksheet 2

Video Playlist

1.1 Different types of numbers

a) Different types of numbers and surds

1.2 Multiples & factors

a) Multiples

b) Factors

1.3 LCM & HCF

1.4 Prime Numbers

1.5 Powers & roots

1.6 Working with directed numbers

1.7 Order of Operations

1.8 Rounding Numbers

2. Making sense of Algebra

Worksheets

2.1 Using letters to represent unknown values

2.2 More Equations Functions

Setting up Equations

Changing subject of a Formula

Formulae Containing Square and Square Roots

Past Paper More Equations

Revision Equation Functions

Function and Function Notation

Composite Function

Inverse Function

2.2 Substitution

Isolating the Variable

Substitution

Solving for Expressions

Combining Like Terms

Simplifying algebra Part 2

2.4 Working with brackets

a) Expanding single brackets

b)Expanding brackets practice

2.5 Indices

a) Revising Roots & Powers

b)Laws of Indices Part 1

c)Law of Indices Part 2

d) Enrichment videos refer link in playlist

2.6 Linear Equations

a)Solving Linear Equations

b)Linear Inequalities

c) Solving Linear inequalities

c) Solving linear inequalities on a graph

Video Playlist

2.1 Using letters to represent unknown values

2.2 More Equations Functions

Setting up Equation

Changing Subject of a Formula

Formula containing Square

Past Paper More Equtions

Revision Equation Functions

Function and function Notations

Composite Function

Inverse Function

2.2 Substitution

Isolating the Variable

Substitution

Solving for Expressions

Combining Like Terms

2.3b Simplifying Algebra Part 2

2.4 Working with brackets

a) Expanding single brackets

b) Expanding Brackets practise

2.5 Indices

a) Revising Roots and Powers

b) Laws of Indices part 1

c) Laws of Indices part 2

d) Enrichment videos refer link in playlist

2.6 Linear Equations

a) Solving Linear Equations

b) Linear Inequalities

c) Solving linear inequalities

c) Solving Linear inequalities on a Graph

Revision Assignments

2.1 Using letters to represent unknown values

2.2 More Equations Functions and

Setting up Equations

Changing subject of a Formula

Formulae Containing Square and

Past Paper More Equations

Revision Equation Functions

Function and Function Notation

Composite Function

Inverse Function

2.2 Substitution

Isolating the variable

Combining like Terms

2.3b Simplifying algebra Part 2

2.4 Working with brackets

a) Expanding single brackets

b)Expanding brackets practice

2.5 Indices

a) Revising Roots & Powers

b)Laws of Indices Part 1

c)Law of Indices Part 2

d) Extra Practice Worksheet

2.6 Linear Equations

a)Solving Linear Equations

b)Linear Inequalities

c) Solving linear inequalities on a g

3. Lines ,angles & shapes

Worksheet

3.1 Lines & Angles

Basic Angle Properties

Angles in parallel lines

3.2 Triangles

3.3 Quadrilaterals

3.4 Polygons

a)Basic Explanation Part 1

3.5 Circles

3.6 Construction

Video Playlist

3.1 Lines & Angles

Basic Angles Properties

Angles in parallel Lines

3.2 Triangles

3.3 Quadrilaterals

3.4 Polygons

a) Basic Explanation Part 1

3.5 Circles

3.6 Construction

4.Collecting ,organising & displaying data

Worksheet

4.1 Stem & Leaf Diagram

4.2 Bar Charts & Pictographs

4.3 Pie Charts

4.4 Frequency Polygons

4.5 Statstical Diagrams

4.6 Histogram

4.7 Cumulative Frequency

4.8 Box Plot

4.9 Scatter Graphs

Video Playlist

4.1 Stem & Leaf Diagram

4.2 Bar Charts & Pictographs

4.3 Pie Charts

4.4 Frequency Polygons

4.5 Statstical Diagrams

4.6 Histogram

4.7 Cumulative Frequency

4.8 Box Plot

4.9 Scatter Graphs

5.Fractions & Standard Form

Worksheet

5.1 Equivalent Fractions

5.2 Operations on fractions

5.3 Percentages

5.4 Standard Form

5.5 Your Calculator & standard form

5.6 Estimation

Video Playlist

5.1 Equivalent Fractions

5.2 Operations on fractions

5.3 Percentages

5.4 Standard Form

5.5 Your Calculator & standard form

5.6 Estimation

6. Equations & rearranging formulae

Worksheet

6.1 Further expansions of brackets

6.3 Factorising algebraic expressions

a) Simple Factorization

b) Factorising Quadratics

6.4 Rearrangement of a formula

Changing subject of a Formula

Formulae Containing Square and

Video Playlist

6.1 Further expansions of brackets

6.3 Factorizing algebraic expressions

a) Simple Factorization

b) Factorizing Quadratics

6.4 Rearrangement of a formula

Changing Subject of a Formula

Formula containing Square

7. Perimeter ,Area & Volume

Worksheet

7.1 Perimeter & Area in two dimensions

7.2 Three -Dimensional Objects

7.3 Surface area & Volumes of Solids

Video Playlist

7.1 Perimeter & Area in two dimensions

7.2 Three -Dimensional Objects

7.3 Surface area & Volumes of Solids

8. Introduction to Probability

Worksheet

8.1 Basic probability

8.2 Theoretical probability

8.3 The probability that an event does not happen

8.4 Possibility diagrams

8.5 Combining independent & mutually exclusive events

Video Playlist

8.1 Basic probability

Frequency Tree

Theoretical Probabiity v/s Relative Probability

Relative and Expected Frequency

8.2 Probability Diagrams

1. Two way Table

2. Probability and Venn Diagrams

3. Probability Tree Diagrams

8.3 Conditional Probability

9. Sequence & Sets

Worksheet

9.1 Sequences

9.2 Rational & irrational numbers

9.3 Sets

Video Playlist

9.1 Sequences

9.2 Rational & irrational numbers

9.3 Sets

10. Straight lines & quadratic equations

Worksheet

10.1 Straight Lines

a) Basic Co-ordinate Geometry

b) Equation of a line

Identify the co-ordinates and find equation of Straight line

Calculate the gradient and y- intercept

c) Gradient of a line

d)Mid-point of a line

e)Length of a line

f) Drawing Straight line graphs

Parallel lines and their equations

Perpendicular Lines

g)Parallel & Perpendicular Lines

h) Practice questions on equations of a line

Graphical solution of Simultaneous Equations

Equation of a line passing through two points

10.2 Quadratic Expressions

a) Factorizing Quadratics

b) Quadratic Formula

c) Completing the Squares

d) solving Quadratic Equations

e) Quadratic Graphs

Video Playlist

10.1 Straight Lines

a)Basic Co-ordinate geometry

b)Equation of a Line

c)Gradient of a Line

d) Mid-point of a Line

e) Length of a Line

f)Drawing Straight line Graphs

g) Parallel and Perpendicular Lines

h) Practice questions on Equation of a Line

10.2 Quadratic Expressions

a) Factorizing Quadratics

b) Quadratic Formula

c) Completing the Squares

d) solving Quadratic Equations

e) Quadratic Graphs

11. Pythagoras Theorem & Similar Shapes

Worksheet

11.1 Pythagoras Theorem

11.2 Understanding similar triangles

11.3 Understanding similar shapes

11.4 Understanding congruence

Video Playlist

11.1 Pythagoras Theorem

11.2 Understanding similar triangles

11.3 Understanding similar shapes

11.4 Understanding congruence

12. Averages & measures of spread

Worksheet

12.1 Different Types of average

12.2 Making comparisons using averages & ranges

12.3 Calculating averages & ranges for Frequency data

12.4 Calculating averages & ranges for grouped continous data

12.5 Percentiles & Quartiles

12.6 Box & Whisker Plots

Video Playlist

12.1 Different Types of average

12.2 Making comparisons using averages & ranges

12.3 Calculating averages & ranges for Frequency data

12.4 Calculating averages & ranges for grouped continous data

12.5 Percentiles & Quartiles

12.6 Box & Whisker Plots

13.Understanding Measurement

Worksheet

13.1 Understanding Units

13.2 Time

13.3 Upper & Lower bound

Understanding measurements upper and lower bound

Revision Understanding Measurements

13.4 Conversion Graphs

Video Playlist

13.1 Understanding Units

13.2 Time

13.3 Upper & Lower bound

13.4 Conversion Graphs

13.5 More Money

cp 14. Further Solving Equations and Inequalities

Graphical Solution of Simulataneous Equations

Solving by substitution

Solving by Elimination 1

Solving by Elimination 2

Solving by Elimination 3

Linear Inequality

Solving Linear inequalities

Linear Programming Part 1

Linear Programming Part 2

Completing the Squares

Quadratic Formula

Factorizing Quadratics where the co-efficient of x2 is not 1

cp 15: Scale Drawings, bearings and Trigonometry

Scale Drawings

Symmetry 2D Shapes

Symmetry 2D Shapes Rotational Symmetry

Symmetry 3D Shapes Plane Of Symmetry

Symmetry 3D Shapes Rotational Symmetry

Trigonometry Introduction

Basic Trigonometry Graphs

Graph of sin x and cos x

Exact Trig Values

All Trigonometry equations you need to know

Sine Rule

Cosine Rule

Graph of Trigonometry functions

Trigonometry Application

Bearings

Sine Rule with Bearings

Cosine Rule with Bearings

Area of Triangle using Trigonometry

3D Trigonometry

Revision Scale drawing bearings and Trigonometry Part 1

Revision Scale Drawings bearings and trigonometry Part 2

Math Bearings

Scale Drawings

Symmetry 2D Shapes

Symmetry 2D Shapes Rotational Symmetry

Symmetry 3D Shapes Plane Of Symmetry

Symmetry 3D Shapes Rotational Symmetry

Trigonometry Introduction

Basic Trigonometry Graphs

Graph of sin x ad cos x

Graph of Trigonometry functions

Trigonometry Application

Revision Scale drawing and Trigonometry

Bearings

Sine Rule with Bearings

Cosine Rule with Bearings

Area of Triangle using Trigonometry

3D Trigonometry

Cp 17 : Managing Money

Managing Money

Earning Money

More Money

Simple Interest

Compound Interest

Simple and Compound Interest Past Papers

Exponential growth and decay

Hire Purchase

Revision Managing Money

Percentage Profit and Loss

Selling Price Cost Price and Mark up

Hire Purchase

Managing Money

Earning Money

More Money

Simple Interest

Compound Interest

Simple and Compound Interest Past Papers

Exponential growth and decay

Hire Purchase

Revision Managing Money

Percentage Profit and Loss

Selling Price Cost Price and Mark up

Hire Purchase

Unit 6

cp 21: Ratio, rate and proportion

Working with Ratio

Ratio and Scale

Rates

Kinematic Graph

Speed Time Graph

Proportion in Algebraic terms

Increase and Decrease in given ratio

Statistics

Cumulative Frequency Curve

Percentile and Quartile

Histogram

Histogram & Frequency Distribution

1.Reviewing number concept

2.Making sense of Algebra

3. Lines ,angles & shapes

4. Collecting ,organising & displaying data

Unit 2

5. Fractions & Standard form

6.Equations & rearranging formulae

7. Perimeter ,area & volume

8. Introduce to probability

Unit 3

9. Sequence & Sets

10. Straight lines & quadratic equations

11.Pythagoras Theorem & similar shapes

12. Averages & measure of speed

Unit 4

13. Understanding Measurements

14.Further Solving equations & Inequalities

15. Scale Drawings,bearings & trignometry

16.Scatter diagram & Correlation

Unit 5

17. Managing money

18. Curved Graphs

a) Drawing Quadratic Graphs ( Parabola )

b) Drawing Reciprocal Graphs ( Hyperbola )

19. Symmetry

20. Histogram & Frequency distribution diagrams

Unit 6

21. Ratio ,rate & proportion

22. More equations ,formulae &Functions

23. Vectors & transformation

24. Probability using tree diagrams & Venn diagrams

Trignometry

Videos

1.1 Trignometry ratio part 1

1.2 Solved example of trignometry rule

1.3 Solved example video 3

1.5 using trignometry rules to solve area of triangle part 1

1.6 using trignometry rules to solve area of triangle part 2

1.7 using trignometry rules to solve area of triangle part 3