# CBSE Class 10 Math Syllabus

## Unit 2: Polynomials

Polynomial

Recapitulation of vocabulary of polynomials in one variable - coefficient, terms, degree, constant, linear, quadratic, cubic polynomial.

Zeroes of polynomial

Zero of linear polynomial, zeroes of quadratic polynomial, zeroes of cubic polynomial.

Relation between zeroes and coefficients.

Geometrical representation of zeroes of polynomial, reading zeroes of linear and quadratic polynomial from graph.

Division algorithm

Dividend= divisor x quotient + remainder Division of linear polynomial by a linear polynomial, division of quadratic polynomial by linear polynomial , division of cubic polynomial by linear polynomial.

## Unit 3: Pair of Linear Equations in Two Variables

Graphical representation of linear equations

Plotting the lines representing two linear equations on the same plane

## Unit 4: Quadratic Equations

Introduction to Quadratic Equation

Quadratic Equation are of the form ax^{2}+ bx + c=0, a ≠ 0, a, b, c are real numbers

Methods to solve quadratic equations

Practise Now

Methods to solve quadratic equations

Nature of roots

Nature of roots when D=0, D > 0, D < 0 Sum of roots, product of roots, conjugate roots Writing quadratic equation when roots are known

Application in daily life

Number problems, age problems, work ratio problems, distance time problems.

## Unit 5: Arithmetic Progression and Geometric Progression

Introduction to arithmetic progression(A.P.) and geometric progression (G.P.)

Recalling number patterns and geometrical patterns, Illustration of arithmetic progression from daily life situations, terms of A.P., first term,

Distance between two points in a coordinate plane

Distance of a point P(x, y) from origin(0,0) as OP^{2}=(x^{2} + y^{2})

Distance formula to find distance between points A (X1,Y1) and B(X2,Y2)as AB^{2} =((X 2-X1)^{2} +(Y2-Y1)^{2})

Section formula

point of internal division

Transformations

Translation as transformation that slides figure, translation of a point from P(x, y)to Q(x+a, y+a), Translation of a line,

Reflection as transformation that flips everything over, reflection across x-axis, reflection across y- axis, reflection across the lline x=constant, reflection across the line y = constant

## Unit 7: Trigonometry and its Applications

Rivision of trigonometric facts

All T- ratios, values of T-ratios at 0°,30°,45°,60°,90°
Trigonometric ratios and the relation between them at complementary angles

Revisit the Probability concepts

Experimental probability, classical probability, P(E) lies between 0 and 1 Equally likely events

Complementary events

Complementary event of a favourable event in a sample space, Sum of a favourable event E and complementary event E' is always 1. P(E)+P(E')=1

## Unit 9: Similar Triangles

Introduction to similarity

Similar figures, similarity of two polygons, similarity of two triangles.

Criteria of similarity of two polygons

Two polygons are similar when their

a) corresponding angles are same

b) corresponding sides are in proportion

Criteria of similarity

AAA, ASA, SAS through exploration Application problems

Basic Proportionality theorem

Proof and applications

Perimeter and Area of circle Practise Now

Circumference of circle, area of circle, area of segment, area of sector, length of an arc

Area of semicircle

Application

Application problems

## Unit 12: Surface Area and Volume

Recapitulation of known formulaePractise Now

Formula for surface area and volume of cube, cuboid, right circular cylinder, right circular cone, sphere, hemisphere

Combination of solids Practise Now

Surface area and volume of combination of solids

Conversion of solids Practise Now

Recasting of one solid shape into other solid shape.

Application problems