ICSE Mathematics for Class IX (English)

What Will You Learn?

• Pure Arithmetic: Rational & Irrational numbers
• Commercial Mathematics: Compound Interest
• Algebra: Expansions, Factorisation, Simultaneous Linear Equations in two variables. (With numerical coefficients only), Indices/Exponents and Logarithms
• Geometry: Triangles, (a) Congruency: four cases: SSS, SAS, AAS, and RHS. Illustration through cutouts. Simple applications, (b) Problems based on:
• Angles opposite equal sides are
• equal and converse.
• If two sides of a triangle are
• unequal, then the greater angle is
• opposite the greater side and
• converse.
• Sum of any two sides of a triangle is
• greater than the third side.
• Of all straight lines that can be
• drawn to a given line from a point
• outside it, the perpendicular is the
• shortest, (c) Mid-Point Theorem and its converse, equal intercept theorem, (d)Pythagoras Theorem, Rectilinear Figures
• (a) Proof and use of theorems on parallelogram.
• (b) Constructions of Polygons
• (c) Proof and use of Area theorems on parallelograms
• Circle
• (a) Chord properties
• (b) Arc and chord properties
• Statistics: Introduction, collection of data, presentation of data, Graphical representation of data, Mean, Median of ungrouped data.
• Mensuration: Area and perimeter of a triangle, Area and circumference of circle. Surface area and volume of Cube and Cuboids
• Trigonometry: Trigonometric Ratios, Trigonometric ratios of standard angles, Simple 2D problems involving one right-angled triangle and Concept of trigonometric ratios of complementary angles and their direct application.
• Co-ordinate Geometry: Cartesian System, plotting of points in the plane for given coordinates, solving simultaneous linear equations in 2 variables graphically and finding the distance between two points using distance formula.