Download 2 weeks

IGCSE Mathematics EDEXCEL 4400
PROGRAMME OF STUDY
SEPT 2007 – JULY 2008 (Year 11)
TERM 4 (1)
Much of what you teach will be variable depending on the experience of the particular group.
Topics & Differentiation
Probability 2 (2 week) (Higher tier only)
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Draw and use tree diagrams.
Determine the probability that two or more independent events will
both occur.
Use simple conditional probability when combining events, including
none replacement.
Application to simple problems.
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TEST
Proportion 1 (3 weeks) (Higher tier only)
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Review ratio & proportion.
Divide a quantity into a given ratio.
Use proportionality to evaluate unknown quantities.
Direct proportion, p304.
Inverse proportion, p315.
Recognize the graph for proportion, p306.
Forming equations.
Proportionality involving squares & cubes.
TEST
Shape/Space 2 Circles [2 weeks]
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Circle theorems. Chords & tangents, p503.
Angles in same segment, p512. (Higher only)
Angle at centre = twice angle at circumference, p509. (Higher only)
Angle in a semi circle, 506. (Higher only)
Cyclic quadrilateral, p514. (Higher only)
Angle in the alternate segment, p516. (Higher only)
Mixed questions, p520.
Proofs of some of these theorems & angle sum of a triangle, etc.
Use Geometers Sketchpad.
TEST
Revision & practice for MOCK EXAMS [2 weeks]
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Past papers
Revision & practice books
IGCSE Mathematics EDEXCEL 4400
PROGRAMME OF STUDY
Topics & Differentiation
Mock exams review. (1 week)
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Review, corrections and targets.
Vectors 1 (1 – 2 weeks)
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Translation vectors, notation and components, p467.
Negative vectors, p467.
Definition of a vector, p468, addition & subtraction, p469 & 470.
Multiplication of a vector by a scalar, vector algebra, p470 & 471.
Magnitude (modulus) of a vector, p472.
Linear combinations of vectors, including resultant. p473.
Position & free vectors, p476.
Proof using vectors, p478.
Mixed questions, p481.
TEST
Transformation Geometry Revision [1 week]
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Rotations given angle and centre; (find angle of a rotation).
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Reflections include finding a mirror line, include y = x.
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Translations give distance and direction use translation vector.
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Enlargements using centre and scale factor (+ve scale factors only).
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Identify and give complete description of transformations.
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Use and interpret maps and scale drawings.
Extension
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Enlargements using negative scale factors.
TEST
Simultaneous Equations (One linear, one quadratic Higher tier only)
[1 week]
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Review linear simultaneous equations. P168.
Simultaneous equations, one linear, one quadratic. (Higher tier only)
Extension.
Know the equation of a circle is, x2 + y2 = r2.
Intersection of a line with a circle by drawing a graph.
TEST
Calculus (Higher tier only. [2 weeks]
SEPT 2007 – JULY 2008 (Year 11)
TERM 5 (2)
IGCSE Mathematics EDEXCEL 4400
PROGRAMME OF STUDY
SEPT 2007 – JULY 2008 (Year 11)
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Understand the concept of a rate of change.
Understand the concept of a variable rate of change.
Differentiate integer powers of x.
Determine gradients, rates of change, turning points (Max’ and
min’s) by differentiation and relate these to graphs.
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Find the coordinates of maximum & minimum points.
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Displacement – time graphs and gradient equals velocity, p496.
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Find expressions for velocity and acceleration given equation for
displacement s.
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Velocity – time graphs:(i) gradient equals acceleration, p498;
Extension:
(ii) area under graph equals distance traveled, p499.
TEST
Trig 5 [1 week]
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Solving trigonometrical equations, p250.
TEST
Algebra [1 – 2 weeks]
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Review graph of quadratic equations, p323.
Graphs of cubic equations (dominant term), p324.
Graphs of reciprocal functions, p326.
Graphs of combined functions; cubic, linear & reciprocal, p327.(See
section 3.3 higher tier syllabus).
Find the gradient of non-linear graphs by drawing a tangent.
Using graphs to solve equations,329.
Trial & improvement methods, p330.
Graphs that describe real life situations, p331.
TEST
TERM 3
IGCSE Mathematics EDEXCEL 4400
PROGRAMME OF STUDY
Topics & Differentiation
Algebra (2 weeks)
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Review Quadratic equations, p379.
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Solving quadratic by formula, p385.
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Quadratics involving algebraic fractions, 389.
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Problems leading to quadratic equations,390.
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Solving quadratic inequalities, p393.
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Harder example of regions defined by linear inequalities.
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Solving equations graphically, p393.
Extension
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Solving quadratic by completing the square, p382.
TEST
Mensuration [1-2 weeks]
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Length & area of arcs of circles, p334.
Areas of sectors of circles, p336.
Areas of segments of circles, p338.
Mixed questions, p338.
Volumes & surface areas, p342.
Volumes of pyramids, p344.
Volumes of spheres, p348.
Areas & Volumes of similar shapes, p349.
Revision [2 week]
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Past-papers and practice.
SEPT 2007 – JULY 2008 (Year 11)