Some of the topics Covered under CBSE Class 10 Mathematics Syllabus are:
Arithmetic Progressions
Circles
Polynomials
Triangles
Constructions
Pair of Linear Equation in Two Variables
Area related to circles
Coordinate Geometry
Surface area and volumes
Quadratic Equations
Introduction to Trigonometry
REAL NUMBERS
A.1 Euclid’s division Lemma
A.2 The Fundamental theorem of arithmetic
A.3 Revisiting irrational numbers
A.4 Revisiting rational numbers and their decimal expansion
Polynomials
B.1 Geometrical meaning of zeroes of polynomial
B.2 Relationship between zeroes and coefficients of polynomial
B.3 Division algorithms for polynomial
Pair of Linear Equation in Two Variables
C.1 Pair of linear equation in two variables
C.2 Algebraic method of solving pair of linear equation- substitution method
C.3 Algebraic method of solving pair of linear equation- elimination method
C.4 Algebraic method of solving pair of linear equation- cross multiplication
method
C.5 Equation reducible to pair of linear equation in two variables
Quadratic Equations
D.1 Quadratic Equations
D.2 Solution of quadratic equation by factorization
D.3 Solution of quadratic equation by completing the square
D.4 Nature of roots
Arithmetic Progressions
E.1 Introduction
E.2 Arithmetic progressions
E.3 Sum of first n terms of an AP
Triangles
F.1 Similar figures
F.2 Similarity of triangles: (Prove) If a line is drawn parallel to one side
of a triangle to intersect the other two sides in distinct points,
the other two sides are divided in the same ratio
F.3(Motivate) If a line divides two sides of a triangle in the same ratio,
the line is parallel to the third side.”
F.4 Basic Proportionality Theorem
F.5 Criteria for similarity of triangles
F.6 Area of similar triangles
F.7 Pythagoras theorem
F.8 Converse of Pythagoras theorem
Coordinate Geometry
G.1 Distance formula
G.2 Section formula
G.3 Area of triangle
Introduction to Trigonometry
H.1 Trigonometry: Introduction
H.2 Trigonometric ratios of some specific angles
H.3 Trigonometric ratios of complementary angles
H.4 Trigonometric identities
Some Applications of Trigonometry
I.1 Heights and distances
Circles
J.1 Tangent to a circle
J.2 Number of tangent from a point to a circle
Constructions
K.1 Division of a line segment
K.2 Construction of triangle similar to given triangle
K.3 Construction of tangents to a circle
Area related to circles
L.1 Perimeter and area of a circle
L.2 Area of sector and segment of a circle
L.3 Area of segment of a circle
L.4 Problems on Area and Perimeter
Surface area and volumes
M.2 Volume of a combination of solids
M.3 Conversion of one solid shape into another
M.4 Frustum of cone
Statistics
N.1 Mean of grouped data
N.2 Mode of grouped data
N.3 Median of grouped data
N.4 Graphical representation of cumulative frequency distribution
Probability
O.1 Introduction
O.2 Probability- a theoretical approach
