Chapter 1 Numbers IGCSE- part 1

SYLLABUS

Cambridge IGCSE

Mathematics

0580

For examination in June and November 2016 and 2017

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SYLLABUS

Cambridge IGCSE

Mathematics

0580

For examination in 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:

Assessment objective Paper 2 (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

Chapter (1)

Number

Extended Curriculum

It is 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

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

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

3- Prime Number: Which number is a prim number: 2910, 1375, 247, 283

Find the prime factor for 24?

Factorize 24 into its prim factor?

4- Common factors and 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

5- square numbers What is the difference between Find the square of 7 …………… Find the square root of 36…………. Write √4 as a power =

6- Rational (Q) Show which 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.

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

Find x/y if 5x = 4y

Lesson (1.3)

Calculate squares, square roots, cubes and

cube roots of numbers.

Calculate :

142 + 3√ 2744 - √ 529

Lesson (1.4)

Use directed numbers in practical situations.

Arrange from cold to hot

15o c , -12o c, -5o c , -2o c, 0o c