Syllabus Cambridge IGCSE Mathematics (US) Syllabus Code 0444 ...

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4. Curriculum Content2. Algebra—Core curriculum Notes / Examples2.9 Factorization: common factor only. e.g., 6x 2 + 9x = 3x(2x + 3)2.10 Extended Curriculum only.2.11 Extended Curriculum only.2.12 Extended Curriculum only.2.13 Continuation of a sequence of numbers orpatterns; recognize patterns in sequences;generalize to simple algebraic statements, includingdetermination of the n th term.e.g., find the n th term of:• 5 9 13 17 21• 2 4 8 16 322.14 Extended Curriculum only.Cambridge IGCSE Mathematics (US) 0444. For examination in 2013.14
4. Curriculum Content2. Algebra—Extended curriculum Notes / Examples2.9 Use equivalent forms of an expression or functionto reveal and explain properties of the quantities orfunction represented.Factorization:common factordifference of squarestrinomialfour term.2.10 Algebraic fractions:simplification, including use of factorizationaddition or subtraction of fractions with lineardenominatorsmultiplication or division and simplification of twofractions.2.11 Create and solve quadratic equations by:inspectionfactorizationusing the quadratic formulacompleting the square.2.12 Solve simple rational and radical equations in onevariable and discount any extraneous solutions.2.13 Continuation of a sequence of numbers orpatterns; recognize patterns in sequences;generalize to simple algebraic statements, includingdetermination of the n th term.Derive the formula for the sum of a finite geometricseries, and use the formula to solve problems.2.14 Express direct and inverse variation in algebraicterms and use this form of expression to findunknown quantities.6x 2 + 9x = 3x(2x + 3)9x 2 – 16y 2 = (3x – 4y )(3x + 4y )6x 2 + 11x – 10 = (3x – 2)(2x + 5)xy – 3x + 2y – 6 = (x + 2)(y – 3)Use the structure of an expression toidentify ways to rewrite it, for example, seex 4 – y 4 as (x 2 ) 2 – (y 2 ) 2 , thus recognizing it asa difference of squares that can be factoredas (x 2 – y 2 )(x 2 + y 2 ).e.g., simplify7x4y2 '21x824x- 92,8x- 10x-33-4,2x+ 1 xe.g., x ² = 492x ² + 5x – 3 = 03x ² – 2x – 7 = 0Write x ² – 6x + 9 in the form (x – a) 2 + b andstate the minimum value of the function.Quadratic formula will be given.e.g., solve x + 2 = 6, x –3 = 27, 2y 4 = 32e.g., find the n th term of:• 5 9 13 17 21• 2 4 8 16 32• 2 5 10 17 26• 3 6 12 24 48For a common ratio that is not 1.e.g., calculate mortgage payments.e.g., y ú x, y úy ú x1 , y ú x12x15Cambridge IGCSE Mathematics (US) 0444. For examination in 2013.
Page 1 and 2: SyllabusCambridge IGCSE Mathematics
Page 3 and 4: ContentsCambridge IGCSE Mathematics
Page 5 and 6: 1. Introduction1.2 Why Choose Cambr
Page 7 and 8: 2. Assessment at a GlanceAvailabili
Page 9 and 10: 3. Syllabus Goals and Objectives3.2
Page 11 and 12: 4. Curriculum Content1. Number—Ex
Page 13 and 14: 4. Curriculum Content1. Number—Ex
Page 15: 4. Curriculum Content2. Algebra—E
Page 19 and 20: 4. Curriculum Content3. Functions
Page 25 and 26: 4. Curriculum Content4. Geometry—
Page 27 and 28: 4. Curriculum Content4. Geometry—
Page 29 and 30: 4. Curriculum Content5. Transformat
Page 31 and 32: 4. Curriculum Content6. Geometrical
Page 33 and 34: 4. Curriculum Content7. Co-ordinate
Page 35 and 36: 4. Curriculum Content8. Trigonometr
Page 37 and 38: 4. Curriculum Content10. Statistics
Page 39 and 40: 5. Additional Information5.6 Resour
Page 41 and 42: 6. Appendix6.2 Mathematical Formula

Syllabus Cambridge IGCSE Mathematics (US) Syllabus Code 0444 ...

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