igcse math edexcel
TRANSCRIPT
IGCSE Mathematics for Edexcel
Theme
1. Working with whole numbers
2. Fraction and Decimals
3. Ratios and percentages
4. Powers, roots and reciprocals
5. Working with Algebra
5. Working with Algebra
6. Algebraic equations
7. Graph of straight lines
8. simultaneous equations
9. Inequalities
10. Number Sequences
11. Travel and other graphs
12. Working with shape and space
13. Circles and cylinders
14. Geometric constructions
15. Transformation and similiarity
16. Pythagoras' theorem
17. Introducing trigonometry
17. Introducing trigonometry
18. 2D and 3D Objects
19. Circle theorems
20. Sets
21. Working with data
22. Probability
23. Using a calculator efficiently
24.Direct and inverse proportion
25. Quadratic equations
26. Advanced algebra
27. Functions and function notation
28. Futher trigonometry
29. Graphs of curves
30. Vectors
31. Mathematical proofs
32. Calculus
32. Calculus
33. Further probability and statistics
IGCSE Mathematics for Edexcel
Sub Theme Added
Addition and Subraction without a calculator
multiplication without a calculator
division without a calculator
positive and negative integers
factor, multiples, and primes
Highest common factor
Lowest common Multiple
Equivalent Fraction
Multiplying and Dividing with Fraction
Arithmetic with Decimals
Decimals and Factions
Rounding and approximation
Working with ratios
Simple percentages
Percentages increase and decrease
reverse percentage problems
simple and compound interest
Roman Numeral
Basic Power and Roots
Higher Power and Roots
Fractional (rational) indicies
Negative Powers and reciprocals
The Laws of Indices
Standard Index form
calculating with number in standard form
Subsituting number into formulae and expressions
working with indices
Expanding brackets
multiplying two brackets together
Factorising - Common Factor
Factorising - Quadratic Expression
Factorising - harder Quadratic expression
Factorising - difference of two squares
Generating formulae
changing the subject of formula
Expression, equations and identities
simple equations
harder linear equations
equations and bracket
equations with fractional coefficients
coordinates in all four quadrants
graph of linear functions
gradient and intercept of linear functions
equations and graph
parallel lines
solver simultaneos equations by inspection
solver simultaneos equations by algebraic elimination
solver simultaneos equations by a graphical method
setting up and solving problems using simultaneous equations
Whole number solutions to inequalities
using algebra to solve linear inequalities
illustrating inequalities on a number line
graph of linear inequalities in two variables
Number sequences
describing number sequences with rules
arithmetic sequences
Modelling with straight line graph
Distance-Time graphs
Velocity-Time Graphs
Corresponding and alternate angles
Angles in triangles and quadrilaterals
Angles in polygons
areas and perimeters of simple shapes
surfaces area and volume
Circumference and area of a circle
Sectors of a circle
circumference and area in reverse
Surface area and volume of a cylinder
Exact calculations using pi
Constructing triangles from given information
Constructions with line segments
Bearings
Reflections
Rotations
Combining transformations
Enlargements
Similar shapes and solids
Introducing Pythagoras' theorem
Using Pythagoras' theorem to find a hypotenuse
Using Pythagoras' theorem to find one of the shorter sides
Pythagoras' theorem in three dimensions
Pythagoras' theorem on a coordinate grid
The sine ratio
The cosine ratio
The tangent ratio
Choosing the right trigonometrical function
Finding an unknown angle
Multi-stage problems
Drawing and constructing 3D objects
Coordinates in 3D
Volume and surface area of pyramids, cones and spheres
Converting between units
Tangents, chords and circles
Angle properties inside a circle
Further circle theorems
Intersecting chords
Introducing set notation
Venn diagrams
Further Venn diagrams
Calculations with frequency tables
Frequensy polygons and histograms
Cumulative frequency
Theorotical and experimental probability
Mutually exclusive outcomes
Independent events
Tree diagrams
Power, roots and reciprocals
Using bracket
Using the fraction key
Using the ANS key
Upper and lower bonds
Direct proportion
Inverse proportion
Graphical representation of direct and inverse proportion
Solving quadratic equations-factorising
Solving quadratic equations-formula
Problems leading to quadratic equations
Working with surds
Algebraic fractions
Cancelling common factors in rational expressions
Simultaneous equations, one linear and one quadratic
Changing the subject of an equation where the symbol occurs twice
Intoducing functions and function notation
Domain and range
Inverse functions
The sine rule
The ambiguous case of sine rule
The cosine rule
Area of a triangle using 1/2 ab sin C, and segments of circles
Trigonometry in 3D
Table of functions
Plotting and using graphs of curves
Graph of sine, cosine and tangent fuctions
Introducing vectors
Adding and subsracting vectors
Multiplying and substracting vectors
Multiplying a vector by a number (scalar multiplication)
Using vectors
Algebraic proofs
Use of counter-examples
Gradient of a curve
Gradient of a curve-differentiation
Harder differentiation
Maximum and minimum points on curves
Futher problems on maximum and minimum
Distance, velocity and acceleration
The combined mean of two groups
Conditional probability
IGCSE Mathematics for Edexcel
Applies the LCM using unit multipliers (level 8)
calculates gross pay vs. nett pay ( level 8 no.16 and 17 )
use proportion to solve percent problems greater than 100
multiplies, divides, and perform the proper order with sign number (level 8 no.9)
add, substract, multiplies, and divides rational and common irrational number forms (level 8 no 23)
multiplies, divides, and perform the proper order with sign number (level 8 no.8)
convert between equivalent fractions, percents, proportion of number (level 8 no.25 and 26)
multiplies, divides, and perform the proper order with sign number (level 8 no.7)
multiplies, divides, and perform the proper order with sign number (level 8 no.10 and 11)
recognizes, evaluates, and graph inequalities and functions
generalizes numeric and geometric patterns and sequences
translates word into symbolic expressions, equations, or inequalities and solves (level 8 no. 31 and 32)
uses inverse operation and the properties of 1 and 0 to solve rational number problems ( level 8 no. 30 )
uses tables of ordered pairs, graphs, and linear equations to analyze patterns (level 8 no.34)
calculates volume of simple geometric solid and area of complex figures ( level 8 no.15 )
uses similiarity and congruence to find missing angles or sides of figures (level 8 no. 36)
identities and describes a variety of 3D figures
calculates volume of simple geometric solid and area of complex figures ( level 8 no.14 ) + Estimates and calculates volume and surface area of solids ( level 8 no.40 )
add, substract, multiplies, and divides rational and common irrational number forms (level 8 no 24)