chapter 1 numbers igcse- part 1
TRANSCRIPT
SYLLABUS
Cambridge IGCSE
Mathematics
0580
For examination in 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: [email protected]
Website
www.S-teachingonline.com
S-teaching online Center
Mobile: 0096642464004
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