British (UK)

The National Curriculum of England (UK) is a very structured curriculum that is designed to meet the needs of all students, stretching brighter children and supporting those who need it through differentiated teaching and learning activities. The curriculum extends and excites all students, whatever their interests or ability. Through it, teachers are able to identify, celebrate and nurture the talents and intelligences of students.

British education is renowned for concerning itself with the development of the whole personality.

In the British education system, students are taught to learn by questioning, problem-solving and creative thinking rather than by the mere retention of facts, hence giving them analytical and creative thinking skills that they will need in the working world. A variety of teaching and assessment methods designed to develop independent thought as well as a mastery of the subject matter is used.

The National Curriculum of England has a clearly defined series of academic and other objectives at every level. mydrasa focuses on Key stage 3 (Year 7-9), Key stage 4 IGCSE/GCSE (Year 10-11) and Key stage 5 A-Level (Year 12-13).

mydrasa added subjects related to Key stage 4 to Year 9, and added subjects related to Key stage 5 to Year 11 for student preparation.

IGCSE stands for the "International General Certificate of Secondary Education". It is a program leading to externally set, marked and certificated examinations from the University of Cambridge. Any student who takes an IGCSE subject will be gaining a qualification that is recognized globally.

The exam boards covered under the International GCSE are Cambridge, Edexcel, and Oxford AQA.

SUbjects

Subjects

Edexcel - Mathematics - AL - YMA01

  • Overview
  • Chapters

The Pearson Edexcel International Advanced Subsidiary in Mathematics, Further Mathematics and Pure Mathematics and the Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics and Pure Mathematics are modular qualifications.

The Advanced Subsidiary and Advanced Level qualifications can be claimed on completion of the required units, as detailed in the Qualification overview section.


Content

• A variety of 14 equally weighted units allowing many different combinations, resulting in flexible delivery options.

• Core mathematics content separated into four Pure Mathematics units.

• From the legacy qualification:

o Decision Mathematics 1 has been updated for a more balanced approach to content.

o The Further, Mechanics and Statistics units have not changed.


Assessment

• Fourteen units tested by written examination.

• Pathways leading to International Advanced Subsidiary Level and International Advanced Level in Mathematics, Further Mathematics and Pure Mathematics.

  • 1: Unit P1: Pure Mathematics 1
    1.1: Algebra and functions
    1.1.1: Laws of indices for all rational exponents
    1.1.2: Use and manipulation of surds
    1.1.3: Quadratic functions and their graphs
    1.1.4: The discriminant of a quadratic function
    1.1.5: Completing the square
    1.1.6: Solve simultaneous equations
    1.1.7: Interpret linear and quadratic inequalities graphically
    1.1.8: Represent linear and quadratic inequalities graphically
    1.1.9: Solutions of linear and quadratic inequalities
    1.1.10: Algebraic manipulation of polynomials
    1.1.11: Graphs of functions
    1.1.12: The effect of simple transformations
    1.2: Coordinate geometry in the (x, y) plane
    1.2.1: Equation of a straight line
    1.3: Trigonometry
    1.3.1: The sine and cosine rules
    1.3.2: Radian measure
    1.3.3: Sine, cosine and tangent functions
    1.4: Differentiation
    1.4.1: The derivative of f(x) as the gradient of the tangent
    1.4.2: Differentiation of xn, and related sums, differences and constant multiples
    1.4.3: Applications of differentiation to gradients, tangents and normals
    1.5: Integration
    1.5.1: Indefinite integration as the reverse of differentiation
    1.5.2: Integration of xn and related sums, differences and constant multiples
  • 2: Unit P2: Pure Mathematics 2
    2.1: Proof
    2.1.1: The structure of mathematical proof
    2.1.2: Proof by exhaustion
    2.1.3: Disproof by counter example
    2.2: Algebra and functions
    2.2.1: Simple algebraic division
    2.3: Coordinate geometry in the (x, y) plane
    2.3.1: Coordinate geometry of the circle
    2.4: Sequences and series
    2.4.1: Sequences
    2.4.2: Arithmetic sequences and series
    2.4.3: Increasing sequences
    2.4.4: Geometric sequences and series
    2.4.5: Binomial expansion
    2.5: Exponentials and logarithms
    2.5.1: y = ax and its graph
    2.5.2: Laws of logarithms
    2.5.3: Equations of the form ax = b
    2.6: Trigonometry
    2.6.1: tan θ = sin θ/cos θ
    2.6.2: Solution of simple trigonometric equations in a given interval
    2.7: Differentiation
    2.7.1: Applications of differentiation
    2.8: Integration
    2.8.1: Evaluation of definite integrals
    2.8.2: Interpretation of the definite integral
    2.8.3: Approximation of area under a curve
  • 3: Unit P3: Pure Mathematics 3
    3.1: Algebra and functions
    3.1.1: Simplification of rational expressions
    3.1.2: Domain and range of functions
    3.1.3: The modulus function
    3.1.4: Combinations of the transformations
    3.2: Trigonometry
    3.2.1: Knowledge of secant, cosecant and cotangent and of arcsin, arccos and arctan
    3.2.2: sec2 θ = 1 + tan2 θ and cosec2 θ = 1 + cot2 θ.
    3.2.3: Double angle formulae
    3.3: Exponential and logarithms
    3.3.1: The function ex and its graph
    3.3.2: The function ln x and its graph
    3.3.3: Estimate parameters in relationships
    3.4: Differentiation
    3.4.1: Differentiation of ekx, ln kx, sin kx, cos kx, tan kx
    3.4.2: Differentiation using the product rule
    3.4.3: The use of dy/dx=1/(dx/dy)
    3.4.4: Exponential growth and decay
    3.5: Integration
    3.5.1: Integration of ekx, 1/xn, sin kx, cos kx
    3.5.2: Integration by recognition of known derivatives
    3.6: Numerical methods
    3.6.1: Location of roots of f(x) = 0
    3.6.2: Approximate solution of equations using simple iterative methods
  • 4: Unit P4: Pure Mathematics 4
    4.1: Proof
    4.1.1: Proof by contradiction
    4.2: Algebra and functions
    4.2.1: Decompose rational functions into partial fractions
    4.3: Coordinate geometry in the (x, y) plane
    4.3.1: Parametric equations of curves
    4.4: Binomial expansion
    4.4.1: Binomial Series for any rational n
    4.5: Differentiation
    4.5.1: Differentiation of simple functions defined implicitly or parametrically
    4.5.2: Formation of simple differential equations
    4.6: Integration
    4.6.1: Evaluation of volume of revolution
    4.6.2: Simple cases of integration by substitution and integration by parts
    4.6.3: Simple cases of integration using partial fractions
    4.6.4: Analytical solution of simple first order differential equations
    4.6.5: Use integration to find the area under a curve
    4.7: Vectors
    4.7.1: Vectors in two and three dimensions
    4.7.2: Magnitude of a vector
    4.7.3: Algebraic operations of vector addition and multiplication
    4.7.4: Position vectors
    4.7.5: The distance between two points
    4.7.6: Vector equations of lines
    4.7.7: The scalar product

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