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Course Description

Cambridge IGCSE Mathematics for G-9 & 10 has been developed by subject experts of KVERSITY. We are well aware that mathematics is the foundation of all creations, without which no proof of an established law can be given. Everybody uses mathematics in their lives directly or indirectly, knowingly or unknowingly. Obviously, mathematicians and scientists rely on mathematical principles to do the most basic aspects of their work, such as test hypotheses.  While scientific careers famously involve math, they are not the only careers to do so.  Even operating a cash register requires that one understands basic arithmetic. People working in a factory must be able to do mental arithmetic to keep track of the parts on the assembly line and must, in some cases, manipulate fabrication software utilizing geometric properties (such as the dimensions of a part) in order to build their products.  Really, any job requires math because you must know how to interpret your paycheck and balance your budget. Mathematics is involved in our every movement and helps us to understand the world better. To live in a mathematically-driven world and not know math is like walking through an art museum with your eyes closed.  Learning and appreciating math can help you appreciate things that you would not otherwise notice about the world.  In reality, mathematics is everywhere! Bees, masters of geometry, use hexagons to build their honeycombs. The Fibonacci sequence, a famous sequence of numbers in mathematics, is found throughout nature: in pinecones, seashells, trees, flowers, and leaves.


CHAPTER 1: REVIEWING NUMBER CONCEPTS 1.1 Different types of numbers 1.2 Multiples and factors 1.3 Prime numbers 1.4 Powers and roots 1.5 Working with directed numbers 1.6 Order of operations 1.7 Rounding numbers CHAPTER 2: MAKING SENSE OF ALGEBRA 2.1 Using letters to represent unknown values 2.2 Substitution 2.3 Simplifying expressions 2.4 Working with brackets 2.5 Indices CHAPTER 3: LINES, ANGLES AND SHAPES 3.1 Lines and angles 3.2 Triangles 3.3 Quadrilaterals 3.4 Polygons 3.5 Circles 3.6 Construction CHAPTER 4: COLLECTING, ORGANISING AND DISPLAYING DATA 4.1 Collecting and classifying data 4.2 Organising data 4.3 Using charts to display data.
CHAPTER 5: FRACTIONS 5.1 Equivalent fractions 5.2 Operations on fractions 5.3 Percentages 5.4 Standard form 5.5 Your calculator and standard form 5.6 Estimation CHAPTER 6: EQUATIONS AND TRANSFORMING FORMULAE 6.1 Further expansions of brackets 6.2 Solving linear equations 6.3 Factorising algebraic expressions 6.4 Transformation of a formula CHAPTER 7: PERIMETER, AREA AND VOLUME 7.1 Perimeter and area in two dimensions 7.2 Three-dimensional objects 7.3 Surface areas and volumes of solids CHAPTER 8: INTRODUCTION TO PROBABILITY 8.1 Basic probability 8.2 Theoretical probability 8.3 The probability that an event does not happen 8.4 Possibility diagrams 8.5 Combining independent and mutually exclusive events.
CHAPTER 9: SEQUENCES AND SETS 9.1 Sequences 9.2 Rational and irrational numbers 9.3 Sets CHAPTER 10: STRAIGHT LINES AND QUADRATIC EQUATIONS 10.1 Straight lines 10.2 Quadratic expressions CHAPTER 11: PYTHAGORAS’ THEOREM AND SIMILAR SHAPES 11.1 Pythagoras’ theorem 11.2 Understanding similar triangles 11.3 Understanding similar shapes 11.4 Understanding congruence CHAPTER 12: AVERAGES AND MEASURES OF SPREAD 12.1 Different types of average 12.2 Making comparisons using averages and ranges 12.3 Calculating averages and ranges for frequency data 12.4 Calculating averages and ranges for grouped continuous data 12.5 Percentiles and quartiles.
CHAPTER 13: UNDERSTANDING MEASUREMENT 13.1 Understanding units 13.2 Time 13.3 Upper and lower bounds 13.4 Conversion graphs 13.5 More money CHAPTER 14: FURTHER SOLVING OF EQUATIONS AND INEQUALITIES 14.1 Simultaneous linear equations 14.2 Linear inequalities 14.3 Regions in a plane 14.4 Linear programming 14.5 Completing the square 14.6 Quadratic formula 14.7 Factorising quadratics where the coefficient of x2 is not 1 14.8 Algebraic fractions CHAPTER 15: SCALE DRAWINGS, BEARINGS AND TRIGONOMETRY 15.1 Scale drawings 15.2 Bearings 15.3 Understanding the tangent, cosine and sine ratios 15.4 Solving problems using trigonometry 15.5 Angles between 90° and 180° 15.6 The sine and cosine rules 15.7 Area of a triangle 15.8 Trigonometry in three dimensions CHAPTER 16: SCATTER DIAGRAMS AND CORRELATION 16.1 Introduction to bivariate data.
CHAPTER 17: MANAGING MONEY 17.1 Earning money 17.2 Borrowing and investing money 17.3 Buying and selling. CHAPTER 18: CURVED GRAPHS 18.1 Plotting quadratic graphs (the parabola) 18.2 Plotting reciprocal graphs (the hyperbola) 18.3 Using graphs to solve quadratic equations 18.4 Using graphs to solve simultaneous linear and non-linear equations 18.5 Other non-linear graphs 18.6 Finding the gradient of a curve CHAPTER 19: SYMMETRY AND LOCI 19.1 Symmetry in two dimensions 19.2 Symmetry in three dimensions 19.3 Symmetry properties of circles 19.4 Angle relationships in circles 19.5 Locus CHAPTER 20: HISTOGRAMS AND FREQUENCY DISTRIBUTION DIAGRAMS 20.1 Histograms 20.2 Cumulative frequency.
CHAPTER 21: RATIO, RATE AND PROPORTION 21.1 Working with ratio 21.2 Ratio and scale 21.3 Rates 21.4 Kinematic graphs 21.5 Proportion 21.6 Direct and inverse proportion in algebraic terms 21.7 Increasing and decreasing amounts by a given ratio CHAPTER 22: MORE EQUATIONS, FORMULAE AND FUNCTIONS 22.1 Setting up equations to solve problems 22.2 Using and transforming formulae 22.3 Functions and function notation CHAPTER 23: TRANSFORMATIONS AND MATRICES 23.1 Simple plane transformations 23.2 Vectors 23.3 Further transformations 23.4 Matrices and matrix transformation 23.5 Matrices and transformations CHAPTER 24: PROBABILITY USING TREE DIAGRAMS 24.1 Using tree diagrams to show outcomes 24.2 Calculating probability from tree diagrams.

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