Chapter 1 Numbers IGCSE- part 1

Chapter 1 Numbers IGCSE- part 1

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  SYLLABUS Cambridge IGCSE Mathematics 0580 For examinationin June and November 2016 and 2017 SALWA KAMEL Operation Management Master in Education Qualification in Mathematics From Cambridge University 18 years Experience in Academic Field Certified Quality Consultant # 1116 Email Address: S.teachingonline@gmail.com Website www.S-teachingonline.com Facebook S-teaching online Center Mobile: 0096642464004
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  SYLLABUS Cambridge IGCSE Mathematics 0580 For examinationin June and November 2017 and 2018 1- Number 2. Algebra and graphs 3. Geometry 4. Menstruation 5. Co-ordinate geometry 6. Trigonometry 7. Matrices and transformations 8. Probability 9. Statistics All candidates will study the following topics:
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  Assessment objective Paper2 (marks) Paper 4 (marks) Extended assessment AO1: Mathematical techniques 28–35 52–65 40–50% AO2: Applying mathematical techniques to solve problems 35–42 65–78 50–60% Components Number 15–20% Algebra 35–40% Space and shape 30–35% Statistics and probability 10–15% Relationship between assessment objectives and components The weightings of the main topic areas of Mathematics
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  Chapter (1) Number Extended Curriculum Itis a general information and consist of 17 lesson. 1- Identify and use natural numbers, integers (positive, negative and zero), prime numbers, square numbers, common factors and common multiples, rational and irrational numbers (e.g. π, √2 ), real numbers. 2- Includes expressing numbers as a product of prime factors. Finding the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of two or more numbers. Lesson (1.1) Objective
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  1-Natural numbers N: are the counting numbers. ex. ………… But whole numbers are ………………… We can divide the whole numbers into two groups Odd Numbers even numbers
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  2- integers (positive,negative and zero), Z Z = { } Z+ = { } Z - = { } Write the set of integers which is divisible by 3= Non- integers which is divisible by 5 = Non positive integers which is divisible by 6 = Additive inverse if a belong to Z, then its additive inverse is - a
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  3- Prime Number: Whichnumber is a prim number: 2910, 1375, 247, 283 Find the prime factor for 24? Factorize 24 into its prim factor?
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  4- Common factorsand common multiples Find H.C.F for 30 and 40? Find L.C.M for 36 and 120? Find L.C.M 4, 9, 18 Find H.C.F of 24, 42, 60
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  5- square numbers Whatis the difference between Find the square of 7 …………… Find the square root of 36…………. Write √4 as a power =
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  6- Rational (Q) Showwhich of the following Rational numbers expresses as integer 25/5 8/12 - 7/6 0/45 Write the following in the simplest form: -8 5 -6 9 - 9 -7.
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  8- Real numbers(R) Arrange (ascending order) √ 75 , √ 68 , - √ 48 , √25 , - 8 , -√32 7- Irrational numbers (e.g.) Which one is Irrational √ 5 , √ 3 , √ 4 , √25 , π , √2
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  Find x/y if5x = 4y Lesson (1.3) Calculate squares, square roots, cubes and cube roots of numbers. Calculate : 142 + 3√ 2744 - √ 529
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  Lesson (1.4) Use directednumbers in practical situations. Arrange from cold to hot 15o c , -12o c, -5o c , -2o c, 0o c