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IGCSE Online Maths Tutoring for Grade IX & X

For IGCSE & other International boards students

The only Maths tutoring program specifically designed to impart mathematical techniques and develop confidence in students to solve problems which are in accordance with Cambridge IGCSE guidelines

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We have given the best IGCSE Results via our best IGCSE online Classes. We have students from Indus International School, Greenwood High school, TISB, Primus Public School, Oakridge International School, Inventure Academy etc. All faculties with prior work experience in teaching in an International school or are subject matter experts. Lot of extra worksheets/assignments are provided to the students to cover different types of questions that are asked in the actual IGCSE exam.

We are teaching IGCSE maths Online for IX & X students. We have students from all across the globe including places like USA, Germany, Netherlands, UAE, Nigeria, South Africa etc. With so much advancement in digital technology students can learn from the convenience of their homes. Classes are conducted by experienced IGCSE tutors having in depth understanding of IB curriculum and rick experience in teaching the same.

Classes are customised according to the student needs. These are one on one classes . Trial class is provided before the enrollment

A comprehensive session plan to cover the latest IGCSE syllabus

Number System:

S.No.	Chapter
1.1	Vocabulary and notation for different sets of numbers: natural numbers N, primes, squares, cubes, integers Z, rational numbers Q, irrational numbers, real numbers R, triangle numbers
1.2	Use of the four operations and brackets
1.3	Highest common factor, lowest common multiple
1.4	Calculation of powers and roots
1.5	Ratio and proportion
1.6 *	Absolute value \| x \|
1.7	Equivalences between decimals, fractions, ratios and percentages
1.8	Percentages including applications such as interest and profit
1.9	Meaning of exponents (powers, indices) in Q Standard Form a x 10n where 1 ≤ a < 10 and n ∈ Z Rules for exponents
1.10 *	Surds (radicals), simplification of square root expressions Rationalisation of the denominator
1.11	Estimating, rounding, decimal places and significant figures
1.12	Calculations involving time: second (s), minutes (min), hours (h), days, months, years including the relation between consecutive units
1.13	Problems involving speed, distance and time problems

* Covered in Extended syllabus

Algebra:

S.No.	Chapter
2.1	Writing, showing and interpretation of inequalities, including those on the real number line
2.2	Solution of linear and quadratic inequalities Solution of inequalities using a graphics calculator
2.3	Solution of linear equations including those with fractional expressions
2.4	Indices
2.5	Derivation, rearrangement and evaluation of formulae
2.6	Solution of simultaneous linear equations in two variables
2.7	Expansion of brackets, including the square of a binomial
2.8	Factorisation: common factor difference of squares trinomial four term
2.9	Algebraic fractions: simplifi cation, including use of factorisation addition or subtraction of fractions with linear denominators multiplication or division and simplification of two fractions
2.10 *	Solution of quadratic equations: by factorisation using a graphics calculator using the quadratic formula
2.11	Use of a graphics calculator to solve equations, including those which may be unfamiliar
2.12	Continuation of a sequence of numbers or patterns Determination of the nth term Use of a difference method to find the formula for a linear sequence, a quadratic sequence or a cubic sequence Identification of a simple geometric sequence and determination of its formula
2.13 *	Direct variation (proportion), Inverse variation, Best variation model for given data

* Covered in Extended syllabus

Functions

S.No.	Chapter
3.1	Notation Domain and range Mapping diagrams
3.2 *	Recognition of the following function types from the shape of their graphs: linear f(x) = ax + b quadratic f(x) = ax2 + bx + c cubic f(x) = ax3 + bx2 + cx + d reciprocal f(x) = a/x exponential f(x) = ax with 0 < a < 1 or a > 1 absolute value f(x) = \| ax + b \| trigonometric f(x) = asin(bx); acos(bx); tanx
3.3 *	Determination of at most two of a, b, c or d in simple cases of 3.2
3.4 *	Finding the quadratic function given vertex and another point, x-intercepts and a point, vertex or x-intercepts with a = 1.
3.5	Understanding of the concept of asymptotes and graphical identification of examples
3.6	Use of a graphics calculator to: sketch the graph of a function produce a table of values fi nd zeros, local maxima or minima fi nd the intersection of the graphs of functions
3.7 *	Simplify expressions such as f(g(x)) where g(x) is a linear expression
3.8	Description and identification, using the language of transformations, of the changes to the graph of y = f(x) when y = f(x) + k, y = k f(x), y = f(x + k)
3.9 *	Inverse function
3.10 *	Logarithmic function as the inverse of the exponential function y = ax equivalent to x = logay Rules for logarithms corresponding to rules for exponents Solution to ax = b as x = log b / log a.

* Covered in Extended syllabus

Geometry:

S.No.	Chapter
4.1	Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures
4.2	Line and rotational symmetry
4.3	Angle measurement in degrees
4.4	Angles round a point Angles on a straight line and intersecting straight lines Vertically opposite angles Alternate and corresponding angles on parallel lines Angle sum of a triangle, quadrilateral and polygons Interior and exterior angles of a polygon Angles of regular polygons
4.5	Similarity Calculation of lengths of similar figures Use of area and volume scale factors
4.6	Pythagoras’ Theorem and its converse in two and three dimensions Including: chord length distance of a chord from the centre of a circle distances on a grid
4.7	Use and interpret vocabulary of circles Properties of circles: tangent perpendicular to radius at the point of contact tangents from a point angle in a semicircle angles at the centre and at the circumference on the same arc cyclic quadrilateral

Transformations & vectors in two dimensions

S.No.	Chapter
5.1	Vector Notation, Line with a direction, Components of a Vector
5.2 *	Addition and subtraction of vectors Negative of a vector Multiplication of a vector by a scalar
5.3 *	Magnitude \| a \|
5.4	Transformations on the Cartesian plane: translation, refl ection, rotation, enlargement (reduction), stretch Description of a translation using the notation in 5.1
5.5 *	Inverse of a transformation
5.6 *	Combined transformations

* Covered in Extended syllabus

Mensuration:

S.No.	Chapter
6.1	Units: mm, cm, m, km Sq. mm , Sq. cm , Sq. m , ha, Sq. km Cubic mm , Cubic cm , Cubic m ml, cl, l, g, kg, t
6.2	Perimeter and area of rectangle, triangle and compound shapes derived from these
6.3	Circumference and area of a circle Arc length and area of sector
6.4	Surface area and volume of prism and pyramid (in particular, cuboid, cylinder and cone) Surface area and volume of sphere and hemisphere
6.5	Areas and volumes of compound shapes

Co-ordinate Geometry:

S.No.	Chapter
7.1	Plotting of points and reading from a graph in the Cartesian plane
7.2	Distance between two points
7.3	Midpoint of a line segment
7.4	Gradient of a line segment
7.5	Gradient of parallel and perpendicular lines
7.6	Equation of a straight line as y = mx + c and ax + by = d (a, b and d integer)
7.7 *	Linear inequalities on the Cartesian plane
7.8	Symmetry of diagrams or graphs in the Cartesian plane

* Covered in Extended syllabus

Trigonometry

S.No.	Chapter
8.1	Right-angled triangle trigonometry
8.2 *	Exact values for the trigonometric ratios
8.3 *	Extension to the four quadrants
8.4 *	Sine Rule
8.5 *	Cosine Rule
8.6 *	Area of triangle
8.7	Applications: three-fi gure bearings and North, East, South, West problems in two and three dimensions
8.8	Properties of the graphs of y = sin x, y = cos x, y = tan x

* Covered in Extended syllabus

Sets

S.No.	Chapter
9.1	Notation and meaning for: is an element of (∈); is not an element of (∉); is a subset of (⊂); is a proper subset of (⊆); universal set (∪), empty set (∅ or { }); complement of A, (A'); number of elements in A, (n(A))
9.2	Sets in descriptive form { x \| } or as a list
9.3	Venn diagrams with at most three sets
9.4	Intersection and union of sets

Probability

S.No.	Chapter
10.1	Probability P(A) as a fraction, decimal or percentage Signifi cance of its value
10.2	Relative frequency as an estimate of probability
10.3	Expected frequency of occurrences
10.4	Combining events: the addition rule P(A or B) = P(A) + P(B) the multiplication rule P(A and B) = P(A) * P(B)
10.5	Tree diagrams including successive selection with or without replacement
10.6	Probabilities from Venn diagrams and tables

Statistics

S.No.	Chapter
11.1	Reading and interpretation of graphs or tables of data
11.2	Discrete and continuous data
11.3	(Compound) bar chart, line graph, pie chart, stem and leaf diagram, scatter diagram
11.4	Mean, mode, median, quartiles and range from lists of discrete data Mean, mode, median and range from grouped discrete data
11.5	Mean from continuous data
11.6 *	Histograms with frequency density on the vertical axis using continuous data
11.7	Cumulative frequency table and curve Median, quartiles, percentiles and inter-quartile range
11.8	Use of a graphics calculator to calculate mean, median, and quartiles for discrete data and mean for grouped data
11.9	Understanding and description of correlation (positive, negative or zero) with reference to a scatter diagram Straight line of best fi t (by eye) through the mean on a scatter diagram Use a graphics calculator to fi nd equation of linear regression

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