Welcome to IGCSE Mathematics at Royal British International School!
Welcome to our IGCSE Mathematics page. On this page you will find curriculum content, course materials, worksheet, homework exercises, videos, IGCSE past papers and much more, all related to IGCSE Mathematics at RBIS.
Welcome Students and Parents to our IGCSE Mathematics page.
Welcome to the 2023–24 academic year. Welcome students and parents to our classroom IGCSE and A-Level classes.
The school has resumed on Thursday, July 20, 2023, with regular class schedules from 8.25 a.m. to 2:40 p.m. Then ACCA will continue from 3 to 4 p.m.
I am Mr. Myat Thu, an experienced teacher for international students, and I have attended many professional development programs and trainings in the US, UK, China, Singapore, Malaysia, and Thailand within my 30 years of a teaching career. I have also participated as a team leader for the Southeast Asia Students Activities and Competitions (SEASAC) almost every year. I am also an upper secondary supervisor, and every year, I teach mathematics, computer science, and information and communication technology for IGCSE classes. I also teach A-level mathematics and computer science classes.
I received my bachelor's degree, B.Sc. (Physics), from Yangon University in 1979 and my master's degree, M.Sc. (Nuclear Physics), in 1985. Then I continued to study computer science and received IDCS, the international diploma in computer studies, in 1995 and HDCS, the international higher diploma, in 1996. Then I took the Advanced Diploma in Computer Studies exam in Singapore in 1996 and obtained an ADCS computer diploma.
All IGCSE course syllabuses and contents have been posted on this school website: https://royalbritishigcse.weebly.com/, and students can log in with the password "rbisigcse." Textbook PDF files and other resources are provided on that website.
IGCSE is the most important class because students need to build their foundation and learn the best international education at this level. So, they can provide excellent preparation for the Cambridge IGCSE exams in the IGCSE classes. Students need to learn core subjects like English, mathematics, and science, and they can choose other subjects based on their interests. Our school has a good reputation and good records for IGCSE exam results.
We encourage students to use learner-centered and inquiry-based approaches to learning. So, students can develop their skills in creative thinking, inquiry, and problem solving, giving them excellent preparation for the next stage of their education. Our school builds a core curriculum, extends it to suit its learners, and introduces cross-curricular perspectives. Clearly defined learning outcomes and contents
We also conduct online classes using WhatsApp, Viber, and Zoom as necessary.
If you want to contact me, use this site at any time, or here are my contact details:
Address: No. 4D-7 Hnin Cherry Street, Snow Garden, Thingangyun Township.
Email: [email protected]
Welcome to the 2023–24 academic year. Welcome students and parents to our classroom IGCSE and A-Level classes.
The school has resumed on Thursday, July 20, 2023, with regular class schedules from 8.25 a.m. to 2:40 p.m. Then ACCA will continue from 3 to 4 p.m.
I am Mr. Myat Thu, an experienced teacher for international students, and I have attended many professional development programs and trainings in the US, UK, China, Singapore, Malaysia, and Thailand within my 30 years of a teaching career. I have also participated as a team leader for the Southeast Asia Students Activities and Competitions (SEASAC) almost every year. I am also an upper secondary supervisor, and every year, I teach mathematics, computer science, and information and communication technology for IGCSE classes. I also teach A-level mathematics and computer science classes.
I received my bachelor's degree, B.Sc. (Physics), from Yangon University in 1979 and my master's degree, M.Sc. (Nuclear Physics), in 1985. Then I continued to study computer science and received IDCS, the international diploma in computer studies, in 1995 and HDCS, the international higher diploma, in 1996. Then I took the Advanced Diploma in Computer Studies exam in Singapore in 1996 and obtained an ADCS computer diploma.
All IGCSE course syllabuses and contents have been posted on this school website: https://royalbritishigcse.weebly.com/, and students can log in with the password "rbisigcse." Textbook PDF files and other resources are provided on that website.
IGCSE is the most important class because students need to build their foundation and learn the best international education at this level. So, they can provide excellent preparation for the Cambridge IGCSE exams in the IGCSE classes. Students need to learn core subjects like English, mathematics, and science, and they can choose other subjects based on their interests. Our school has a good reputation and good records for IGCSE exam results.
We encourage students to use learner-centered and inquiry-based approaches to learning. So, students can develop their skills in creative thinking, inquiry, and problem solving, giving them excellent preparation for the next stage of their education. Our school builds a core curriculum, extends it to suit its learners, and introduces cross-curricular perspectives. Clearly defined learning outcomes and contents
We also conduct online classes using WhatsApp, Viber, and Zoom as necessary.
If you want to contact me, use this site at any time, or here are my contact details:
Address: No. 4D-7 Hnin Cherry Street, Snow Garden, Thingangyun Township.
Email: [email protected]
Mathematics Department
Contents
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414440-2020-2022-syllabus.pdf | |
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10.0 Applying numbers and using calculator
11.0 Algebraic representation and formulae
12.0 Algebraic manipulation
13.0 Solutions of equations and inequalities
14.0. Graphs in practical situations
15.0. Straight line graphs
16.0. Graphs of functions
17.0. Number sequences
18.0. Indices
19.0. Proportion
20.0. Linear programming
21.0. Functions
22.0. Differentiation
Semester 2
Geometry and Trigonometry
23.0. Geometry, Angle properties
24.0. Geometrical terms and relationships
25.0. Geometrical constructions
26.0. Trigonometry
27.0. Mensuration
28.0 Symmetry
29.0. Vector
30.0. Transformations
Statistics
31.0. Statistics, statistical representation
32.0 Statistical measure
33.0 Probability
Content overview (0607)
Candidates may follow either the Core curriculum or the Extended curriculum. Candidates aiming for grades A* to C should follow the Extended curriculum.
All candidates will study the following topics:
1 Number
2 Algebra
3 Functions
4 Coordinate geometry
5 Geometry
6 Vectors and transformations
7 Mensuration
8 Trigonometry
9 Sets
10 Probability
11 Statistics
Candidates may follow either the Core curriculum or the Extended curriculum. Candidates aiming for grades A* to C should follow the Extended curriculum.
All candidates will study the following topics:
1 Number
2 Algebra
3 Functions
4 Coordinate geometry
5 Geometry
6 Vectors and transformations
7 Mensuration
8 Trigonometry
9 Sets
10 Probability
11 Statistics
Our RBIS learners
Our programmes and qualifications develop not only subject knowledge but also skills. We encourage RBIS learners to be:
Our programmes and qualifications develop not only subject knowledge but also skills. We encourage RBIS learners to be:
- confident in working with information and ideas – their own and those of others
- responsible for themselves, responsive to and respectful of others
- reflective as learners, developing their ability to learn
- innovative and equipped for new and future challenges
- engaged intellectually and socially, ready to make a difference.
Cambridge International Certificate of Education (ICE)
Cambridge ICE is a group award for Cambridge IGCSE. It gives schools the opportunity to bene t from offering a broad and balanced curriculum by recognising the achievements of learners who pass examinations in a number of different subjects.
Learn more about Cambridge ICE at www.cie.org.uk/cambridgesecondary2
Cambridge ICE is a group award for Cambridge IGCSE. It gives schools the opportunity to bene t from offering a broad and balanced curriculum by recognising the achievements of learners who pass examinations in a number of different subjects.
Learn more about Cambridge ICE at www.cie.org.uk/cambridgesecondary2
Mathematics
Cambridge International
Mathematics
(0607) Extended
Keith Black Alison Ryan Michael Haese Robert Haese Sandra Haese Mark Humphries
Use the link to download a pdf file:
http://webéducation.com/wp-content/uploads/2019/12/Michael-Haese-Sandra-Haese-Sandra-Haese-IGCSE-Cambridge-International-Mathematics_-0607-Extended-Haese-Mathematics-2017.pdf
CP3 Maths Content
Section 1 Section2
Chapter 1: Integers, Powers, and Roots Chapter 8: Place value, ording and rounding
Chapter 2: Expression and Formulae Chapter 9: Equations and inequalities
Chapter 3: Shapes and Geometic reasoning Chapter 10: Pythagoras theorem
Chapter 4: Length, mass and capacity Chapter 11: Compound measuresa and motion
Chapter 5: Planning and collecting data Chapter 12: Processing and presenting data
Chapter 6: Calculating and mental strategies 1 Chapter 13: Calculation and mental strategies 2
Chapter 7: ICT, investigations and problem solving Chapter 14: ICT, investigations and problem solving
Section 3 Section 4
Chapter 15: Fractions, decimals and percentages Chapter 22: Ratio and proportion
Chapter 16: Sequences Chapter 23: Functions and graphs
Chapter 17: Position and movement Chapter 24: Bearings and drawings
Chapter 18: Area and Volume Chapter 25: Measures and circle
Chapter 19: Interpreting and discussing results Chapter 26: Probability
Chapter 20: Calculation and mental strategies 3 Chapter 27: Calculation and mental strategies 3
Chapter 21: ICT, investigations and problem solving Chapter 28: ICT, investigations and problem solving
:
Section 1 Section2
Chapter 1: Integers, Powers, and Roots Chapter 8: Place value, ording and rounding
Chapter 2: Expression and Formulae Chapter 9: Equations and inequalities
Chapter 3: Shapes and Geometic reasoning Chapter 10: Pythagoras theorem
Chapter 4: Length, mass and capacity Chapter 11: Compound measuresa and motion
Chapter 5: Planning and collecting data Chapter 12: Processing and presenting data
Chapter 6: Calculating and mental strategies 1 Chapter 13: Calculation and mental strategies 2
Chapter 7: ICT, investigations and problem solving Chapter 14: ICT, investigations and problem solving
Section 3 Section 4
Chapter 15: Fractions, decimals and percentages Chapter 22: Ratio and proportion
Chapter 16: Sequences Chapter 23: Functions and graphs
Chapter 17: Position and movement Chapter 24: Bearings and drawings
Chapter 18: Area and Volume Chapter 25: Measures and circle
Chapter 19: Interpreting and discussing results Chapter 26: Probability
Chapter 20: Calculation and mental strategies 3 Chapter 27: Calculation and mental strategies 3
Chapter 21: ICT, investigations and problem solving Chapter 28: ICT, investigations and problem solving
:
Checkpoint Maths 3 Ric Pimentel and Terry Wall. Textbook and Workbook.
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Cambridge IGCSE Maths
Year 1 Chapter 1: Number Chapter 2: Fractions and percentages Chapter 3: The four rules Chapter 4: Directed numbers Chapter 5: Powers and roots Chapter 6: Ordering and set notation Chapter 7: Ratio, proportion and rate Chapter 8: Estimation and limits of accuracy Chapter 9: Standard Form Chapter 10: Applying numbers and using calculators Chapter 11: Algebraic representation and formulae Chapter 12: Algebraic manipulation Chapter 13: Solution of equations and inequalities Chapter 14: Graphs in practical situations Chapter 15: Straight line graphs
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Year 2
Chapter 16: Graphs of functions Chapter 17: Number sequences Chapter 18: indices Chapter 19: Proportion Chapter 20: Linear programming Chapter 21: Functions Chapter 22: Differentiation Chapter 23: Angle properties Chapter 24: Geometrical terms and relationships Chapter 25: Geometrical consturctions Chapter 26: Trigonometry Chapter 27: Mensuration Chapter 28: Symmetry Chapter 29: Vectors Chapter 30: Trqansformation Chapter 31: Statistical representation Chapter 32: Statistical measures Chapter 33 Probability |
Algebra
- A The distributive law: a(b + c) = ab + ac
- B The product: (a + b)(c + d) = (a+b)(c+d) = ac+ad+bc+bd
- C Difference of two squares: (a+b)(a-b) = a2 -b2
- D Perfect squares expansion: (a+b)2 = a2 +2ab+b2
- E Further expansion: = (a + b)c + (a + b)d + (a + b)e = ac + bc + ad + bd + ae + be
- F Algebraic common factors: 8a and 12b= 2x2x2xa and 2x2x3xb = So HCF=2x2 = 4
- G Factorising with common factors For example, 5x2 and 10xy have HCF 5x. So, 5x2 +10xy=5x£x+5x£2y= 5x(x + 2y)
- H Difference of two squares factorisation: a2 -b2 =(a+b)(a-b)
- I Perfect squares factorisation: x2 +2ax+a2 = (x+a)2. and x2 -2ax+a2 =(x-a)2
- J Expressions with four terms: ab+ac +bd+cd = a(b + c) + d(b + c)= (b + c)(a + d)
- K Factorising x2 + bx + c : x2+7x+10=(x+2)(x+5)
- L Splitting the middle term: factorise 8x2 + 22x + 15 into (2x + 3)(4x + 5) by splitting the +22x into a suitable sum, + 10x + 12x
- M Miscellaneous factorisation:
Answer for Page 55.
1. 36x^2 +11x -5 = (9x + 5)(4x -1)
2. 36x^2 +52x -3 = 36x^2 -2x +54x-3=2x(18x-1)+3(18x-1) = (2x+3)(18x-1)
1. 36x^2 +11x -5 = (9x + 5)(4x -1)
2. 36x^2 +52x -3 = 36x^2 -2x +54x-3=2x(18x-1)+3(18x-1) = (2x+3)(18x-1)
IGCSE 2, Chapter 20-1 GRAPHICAL INEQUALITIES
Exercise 20A, page 346, Number 1 to 10.
Chapter 20-2 More than one inequality
Set Notation
A set is a collection of objects or things.
The elements of a set are the objects or members which make up the set.
n(A) reads ‘the number of elements in set A’.
A is a subset of B if all elements of A are also elements of B. Wewrite A B:
Two sets A and B are equal if their elements are exactly the same.
The universal set U contains all of the elements under consideration.
Sometimes we find that a set has no elements. Such a set is called the empty set.
{x| -3<x<2, x R} reads ‘the set of all real x such that x lies between negative 3 and 2, including 2’.
Venn Diagrams
A Venn diagram consists of a universal set U represented by a rectangle, and sets within it that are generally represented by circles.
A set is a collection of objects or things.
The elements of a set are the objects or members which make up the set.
n(A) reads ‘the number of elements in set A’.
A is a subset of B if all elements of A are also elements of B. Wewrite A B:
Two sets A and B are equal if their elements are exactly the same.
The universal set U contains all of the elements under consideration.
Sometimes we find that a set has no elements. Such a set is called the empty set.
{x| -3<x<2, x R} reads ‘the set of all real x such that x lies between negative 3 and 2, including 2’.
Venn Diagrams
A Venn diagram consists of a universal set U represented by a rectangle, and sets within it that are generally represented by circles.
Linear equations and inequalities
Angle Properties
Graphs, Charts, and Tables
Exponent or Index Laws
Properties of Surbs
- a negative base raised to an odd power is negative.
- a negative base raised to an even power is positive.
Simultaneous equations
Pythagoras
Percentage
- x% means x/100, x% of a quantity = x/100 x the quantity
Profit = selling price - cost price
Loss = cost price - selling price
I= Prn where I is the simple interest. P is the principal, r is hte rate of interest, n is the time or duration.
Increase = 1 or 100% + rate
Decrease = 1 or 100% - rate
Compound Interest
V = P(1 + r/100)^n
Mensuration
Cumulative Frequency
Term2 Exam Reviews
Ch2-4 Percentage
2-6: Increasing or decreasing quantity
2-8 Simple interest and compound interest
Ch6-1:Inequality
6-2:Sets and Venndiagrams
Ch7-2 Increases and decreases ratio
Ch8-3 Rounding to significant figures
8-4 Upper and lower bounds
Ch11-2: Substitution into formulae
11-3 Rearranging formulae
Ch12-1: Simplifying expressions
12-2 Expending brackets
12-3 Factorizations
Ch14-1 Conversion Graphs
Ch15-2 The equationy=mx+c
Ch25-1 Constructing shapes
Ch26-4 Using sine, cosine and tangent functions
Ch27-4 Area of a trapezium
Ch29-1 Introduction to vectors
29-2 Using vectors
29-3 Magnitude of a vector
Ch30-1 Translation
30-2/3 Reflections
30-4/5 Rotations
30-6/7 Enlargements
30.8 Combined tranformations.
Ch2-4 Percentage
2-6: Increasing or decreasing quantity
2-8 Simple interest and compound interest
Ch6-1:Inequality
6-2:Sets and Venndiagrams
Ch7-2 Increases and decreases ratio
Ch8-3 Rounding to significant figures
8-4 Upper and lower bounds
Ch11-2: Substitution into formulae
11-3 Rearranging formulae
Ch12-1: Simplifying expressions
12-2 Expending brackets
12-3 Factorizations
Ch14-1 Conversion Graphs
Ch15-2 The equationy=mx+c
Ch25-1 Constructing shapes
Ch26-4 Using sine, cosine and tangent functions
Ch27-4 Area of a trapezium
Ch29-1 Introduction to vectors
29-2 Using vectors
29-3 Magnitude of a vector
Ch30-1 Translation
30-2/3 Reflections
30-4/5 Rotations
30-6/7 Enlargements
30.8 Combined tranformations.
Straight Lines, Vertical Lines, Horizontal Lines
Trigonometry Ratios
True Bearings
3-Dimensional Problem Solving
Factorization and Simplification
IGCSE 1
Since we have completed chapter 13 including solving linear equations, solving quadratic equations by factorization by quadratic formula, simultaneous equations, we have to start chapter 14. But I have noticed that many of you have difficulty in simultaneous equations. A pair of simultaneous equations can be solved by using one of the methods.1. Elimination method, 2. Substitution method, 3. Balancing coefficients in one equation only. I want you to understand the elimination method.
Step 1: to balance the coefficients of one of the variables.
Step 2: to eliminate this variable by adding or subtracting the equations.
Step 3: is to solve the resulting linear equation in the other variable.
Step 4: is to substitute the value found back into one of the previous equations.
Step 5: is to solve the resulting equation.
Step 6: to check that two values found satisfy the original equations.
So, do exercise 13L (page 215-217), show your evidence on what app.
Chapter 14 Graphs in practical situations
Now time to start Chapter 14. (30, April, 2020)
14.1: Conversion graphs. (Finding a value on one axis)
Exercise 14A (page 239-241)
14.2: Travel graphs (Distance - time graph)( 3 rd April,2020)
Exercise 14B Number 1 to 10 ( page 243-245)
(Can you complete within a week?)
Since we have completed chapter 13 including solving linear equations, solving quadratic equations by factorization by quadratic formula, simultaneous equations, we have to start chapter 14. But I have noticed that many of you have difficulty in simultaneous equations. A pair of simultaneous equations can be solved by using one of the methods.1. Elimination method, 2. Substitution method, 3. Balancing coefficients in one equation only. I want you to understand the elimination method.
Step 1: to balance the coefficients of one of the variables.
Step 2: to eliminate this variable by adding or subtracting the equations.
Step 3: is to solve the resulting linear equation in the other variable.
Step 4: is to substitute the value found back into one of the previous equations.
Step 5: is to solve the resulting equation.
Step 6: to check that two values found satisfy the original equations.
So, do exercise 13L (page 215-217), show your evidence on what app.
Chapter 14 Graphs in practical situations
Now time to start Chapter 14. (30, April, 2020)
14.1: Conversion graphs. (Finding a value on one axis)
Exercise 14A (page 239-241)
14.2: Travel graphs (Distance - time graph)( 3 rd April,2020)
Exercise 14B Number 1 to 10 ( page 243-245)
(Can you complete within a week?)
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You can download graph paper here
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IGCSE 2
We have completed Chapter 31 and we need to continue chapter 32 and 33. You have already learned those chapters in CP2. So you can understand easily. Please work on chapter 32 pages 608 to 634 during a week.
Chapter 32: Statistical measures
32.1: The mode : the value that occurss the most in a set of data.( the value with the highest frequency.
Exercise 32A(page 608-609)
32.2: The median: the middle value of a list of values when they are put in order of size, from lowest to highest.
Exercise 32B(page 611-612)
32.3: The mean: The sum of all values in the set divided by the total number of values in the set.
Exercise 32C(page 613-614)
32.4: The range: The highest value of the set minus the lowest value.
Exercise 32D(page 616-617)
32.5: Which average to use
Exercise 32E(page 619-620)
32.6: Stem-and -leaf diagrams
Exercise 32F(page 622-623)
32.7: Using frequency tables
Exercise 32G(page 625-627)
32.8 Grouped data
Exercise 32H(page 629-631) Extended
32.9: Cummulative frequency diagrams
Exercise 32I(page 635-637) Extended
32.10: Box-and-whisker plots
Exercise 32J(page 639-641) Extended (Please do atleast one section par day)
0607/ BY Cambridge International Mathematics
Paper 22. 28 April
Paper 42. 30 April
Paper 62. 15 May
Paper 22. 28 April
Paper 42. 30 April
Paper 62. 15 May
Mapping Diagrams
Similar Triangles
Function Notation
Recoprocal Functions
Translations
A translation moves an object from one place to another. Every point on the object moves the same distance in the same direction.
A translation moves an object from one place to another. Every point on the object moves the same distance in the same direction.
Enlargements
Stretches
Transforming Functions
In this section we consider the effect of transforming the graph of y = f(x) into y = f(x)+k, y = f(x+k) and y = kf(x) where k belongs to Z , k does not equal to 0.
In this section we consider the effect of transforming the graph of y = f(x) into y = f(x)+k, y = f(x+k) and y = kf(x) where k belongs to Z , k does not equal to 0.
The inverse of a transformation
If a transformation maps an object onto its image, then the inverse transformation maps the image back onto the object.
If a transformation maps an object onto its image, then the inverse transformation maps the image back onto the object.
Combination of transformations
0607/BY. Cambridge International Mathematics Past papers 2019 Oct/Nov
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This is the chapter 32I.
20th April 2019, Chapter 33
33.1 The Probability Scale. Exercise 33A
33.2 Calculating Probabilities Exercises 33B
33.1 The Probability Scale. Exercise 33A
33.2 Calculating Probabilities Exercises 33B
22th April 2019, Chapter 33
33.3 Probability that an event will not happen, Exerhatcise 33C
33.2 Probability in practice Exercises 33D
33.3 Probability that an event will not happen, Exerhatcise 33C
33.2 Probability in practice Exercises 33D
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A Level Mathematics (Edexcel)
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