IGCSE Additional Mathematics (0606)
- Description
- Curriculum
- Announcement
Course description
Cambridge IGCSE Mathematics motivates learners to improve their mathematical abilities, viewing them as essential life skills and a strong basis for further studies in mathematics or to support skills in other subjects. It enhances students’ proficiency, confidence, and skill in applying methods with or without the aid of a graphic display calculator.It cultivates learners’ abilities in mathematical inquiry and/or modeling, promoting both conceptual understanding and proficiency in applying techniques and methods.
Course syllabus
Cambridge IGCSE Additional Mathematics is designed for learners to increase their ability in solving complex problems which gradually leads them to an advanced study in mathematics.
Assessment Structure
All students should take two components which will be assessed externally . Candidates will be eligible for grades A* to E.
-
1
Functions- Functions, domains and range
- Use of function notation
- Modulus of a function
- Inverse functions
- Composite functions
- Sketching graphs of a functions and its inverse
-
2
Quadratic function
- Finding the Maximum and minimum values of quadratic function
- Sketching graphs for quadratic functions
- Intersection of line and the curve
- Finding solutions for quadratic inequalities
-
3
Factors of polynomials
- Remainder and factor theorem
- Finding factors of polynomials
- Solving cubic equations
-
4
Equations, inequalities and graphs
- Solving modulus equations using algebraic or graphical methods
- Solving modulus inequalities using algebraic or graphical methods
- Using substitution to solve quadratic equations
- Sketching graphs of cubic polynomials and their moduli
- Graphical solution for cubic inequalities
-
5
Simultaneous equations
- Elimination method
- Substitution method
-
6
Logarithmic and exponential functions
- Properties and graphs of logarithmic and exponential functions
- Usage of Laws of logarithms
- Change of base of logarithms
- Solving simple exponential equations
-
7
Straight-line graphs
- Equation of a straight line
- Condition for lines to be parallel and perpendicular
- Finding midpoint, length of a line and perpendicular bisector
- Transforming relationships to straight line form
- Calculating gradient or intercepts of the transformed graphs
-
8
Coordinate geometry of the circle
- Identifying the center and radius of the circle from its equation
- Intersection of a circle and a straight line
- Finding equations of tangent
- Intersection of two circles
-
9
Circular measure
- Arc length and area of sector of a circle
- Radians measure
-
10
Trigonometry
- Trigonometric functions for angles of any size
- Graphs of trigonometric functions
- Transformations of trigonometric graphs
- Trigonometric identities
-
11
Permutations and combinations
- Identifying the difference between permutations and combinations
- Usage of the notation n!
- simple problems on arrangement and selection.
-
12
Series
- The binomial theorem
- The formula for a binomial coefficient
- The expansion of (1 + x)n
- Identifying arithmetic and geometric progression
- Difference between arithmetic and geometric progression
- The sum of the terms of an arithmetic or geometric progression
- The condition for the convergence of a geometric progression,
-
13
Vectors in two dimensions
- Vector notation
- Zero and unit vectors
- Magnitude of a vector
- Addition and subtraction of vectors
- Multiplying a vector by a scalar
- compose and resolve velocities.
-
14
Calculus
- Limits
- Rules of differentiation
- Finding stationary points
- Practical problems involving Maximum and minimum points
- Using second derivatives
- Finding equations of tangents and normals
- Derivatives of standard functions
- Understanding integration
- Integrate sums of terms in powers of x
Assessment Structure
All students should take 2 components which will be assessed externally.students who have chosen core syllabus will take paper 1 and 3. And students who have chosen extended syllabus will take paper 2 and 4.
Our Approach to Teaching and Learning:
We follow the 5 step process depicted in the picture below.
-
Motivation
-
Explanation
-
Exploration
-
Application
-
Verification
