Number Sets (1) Set oerations  Universal set
 roerties of Union
 roerties of intersection
 Distributive roerty
 roerties of comlementation
(2) Cartesian roduct  Cartesian roduct of two sets
 Equality of ordered airs
 Grah in the lane
 Cartesian coordinate system
 One to one corresondence between the lane and R x R
 Quadrant
 Grah of Cartesian roduct Arithmetic
(3) ercent  Discount and commission
 Successive discount
 Cost of living index
 Sales tax
(4) Banking  Different tyes of bank accounts
 Cheque and its tyes
 Calculation of interest from assbook of savings account assbook
 Calculation of interest on fixed deosit
 Algebra
(5) Factorization  Revision of factorization of Std. Vill( maximum degree 3)
 Ax2 + bx + c (a ¹ O)and factors by slitting the middle term in a,bc.
 (x+y)(x2+xy+y2)  Exansion
 factors of x3+y3
 factors of x3+y3+z3  3xyz
 if x+y+z = 0 then x3+y3+z3= 3xyz
 factorization with the hel of remainder theorem
(6) roerties of ratio and roortion  laws of ratios (laws  alternendo , invertendo , comonendo,dividendo,
 equality of ratios comonendo & dividendo)
(7) Variation  Direct variation
 Inverse variation
 Comound variation
 artial variation
(8) Linear equations of two variables  Exlanation of two variable linear equation
 Solution of a linear equation of two variables
 Method of elimination
 Grahical method Geometry
(9) Triangle and conditions of congruence  Triangle and its elements
 Interior of triangle
 Corresondence
 Congruence of triangles
 SAS ostulate
 Theorem: If two angles and included side of one triangle are congruent to the corresonding elements of the other triangle then those two triangles are congruent (ASA) (with roof)
 Theorem: If two sides of a triangle are congruent then their oosite angles are congruent. (with roof)
 Theorem: If two angles of a triangle are congruent then their oosite sides are congruent. (without roof)
 Corollary: Every equilateral triangle is equiangular
 Corollary: Every equiangular triangle is equilateral.
 Theorem (SSS): If three sides of one triangle are congruent to the corresonding three sides of the other triangle then triangles are congruent. (without roof)
 Theorem (RHS): Given a corresondence between two right triangles, if the hyotenuse and leg (side) of one triangle are congruent with the corresonding elements of the other trangle, then corresondence is congruence.
