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Number System
Introduction
Brief review of numbers
Decimal representation of rational numbers
Conversion of decimal numbers into rational numbers of the form p/q
Some useful results on irrational numbers
Real numbers and real number line
Existence of square root of a positive real numbers
Viaualization of representation of real numbers by using the process of successive magnification
Conversion of terminating decimal numbers into the form p/q
Conversion of pure recurring decimal to the form p/q
Conversion of a mixed recurring decimal to the form p/q
Irrational numbers
Representing irrational numbers on number line
Exponents of Real Numbers
Introduction
Integral exponents of a real number
Laws of integral exponents
Rational exponents of a real number
Laws of rational exponents
Rationalisation
Introduction
Some identities
How to Rationalize the Denominators
Algebraic Identities
Introduction
One more identity
Activities
Recall of identities
Identity for the square of a trinomial
Identity for the cube of a binomial
Sum and difference of cubes
Factorization of Algebraic Expressions
Introduction
Recall of work done earlier
Factorization of Algebraic expressions expressible as the sum or difference of two cubes
Factorization by using the formulae for the cube of a binomial
Factorization of algebraic expressions of the form a3+b3+c3-3abc
Factorization of the sum of the cubes when their sum is zero
Factorization of Polynomials
Factorization of polynomials by using factor theorem
Factorization of Polynomials
Zeros of a polynomial
Remainder theorem
Factor theorem
Linear equations in two variables
Introduction
Solutions of a linear equation
Linear equations in two variables
Linear Equations in 2 Variables – Graphs 01
Equations of lines parallel to x-axis and y-axis
Equations of lines parallel to x-axis and y-axis
Coordinate Geometry.
Introduction
Rectangular or cartesian co ordinates of a point
Rectangular or cartesian co ordinates of a point
Plotting of point
Introduction to Euclid Geometry
Introduction
Axioms and Theorems
Some undefined terms
Some undefined terms
Parallel lines and intersecting lines
Line segments
Length axioms and line segments
Half- plain
Line segments
Ray, half-line, line separation
lines and angles
Measure of an angle
Mode on angle relations
Angle made by a transversal with two lines( 8 theorems)
Angles
Types of angles
Some angle relations
Triangles and its angles.
Introductions
Triangles
Types of triangles
Angles some property of a triangles
Proof of the Sum of Angles of a Triangle Measure 180 Degrees | Don't Memorise
Exterior angles of a triangle
Congruent Triangles
Introductions
Congruence of line segments
Congruence of angles
Sufficient conditions for congruence of triangles
Congruence of triangles
SAS
ASA
AAS
SSS
What is the RHS Condition for Congruence? | Don't Memorise
Some inequality relations in a triangle( 4 theorems )
Some inequality relations in a triangle( 4 theorems)
Quadrilaterals
Introductions
Quadrilaterals and some terms associated with it
Angles sum property of a quadrilaterals
Various types of quadrilaterals
Properties of a parallelogram( 7 theorems)
Sufficient conditions for a quadrilaterals to be a parallelogram (4theorems)
Properties of a rectangle, rhombus and a square( 9 theorems)
Some useful facts of a triangle ( 2 theorems)
Areas of parallelograms and triangles
Introductions
Figures of the same base and between the same parallels
Polygonal regions
Area axioms
Parallelograms on the same base and between the same parallels. (6 theorems)
Triangles on the same base and between the same parallels ( 3 theorems)
Circles
Some definitions
Arc of a circle
Chord and segment of a circle.
Congruent of circles and arcs
Some results on congruent arcs and chords. ( 8thereoms )
Some results on equal chords ( 10 theorems)
Arcs and angles subtended by them. (6 theorems)
Cyclic quadrilateral ( 9 theorems)
Constructions
Introductions
Some basic constructions
Construction of bisector of a line segment.
Construction of bisector of given angles
Construction of some standard angles.( 60,30,90,45,120)
Some constructions of triangles.
Construction of a equilateral triangles
Construction of a triangle when its base , some of the other two sides and one base angle are given.
Construction of a triangle when it base , difference of the other two sides and one base angle are given.
Construction of a triangle of given perimeter and two base angles.