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CBSE Year 10
CBSE Grade 10 Mathematics
Curriculum
14 Sections
46 Lessons
60 Hours
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Numbers
4
1.0
Real Numbers Examples And Solutions ,Euclid’s Division Lemma
1.1
Fundamental Theorem Of Arithmetic
1.2
Significance Of The Fundamental Theorem Of Arithmetic
1.2
Proofs Of Irrationality
Irrational Numbers
3
2.0
Decimal Representation Of Rational Numbers
2.1
Terminating Or Non-terminating Recurring Decimals
2.2
Concept Of Irrational Numbers
Algebra
6
3.0
Pair Of Linear Equations In Two Variables, Elimination Method
3.1
Linear Equation In Two Variables ,Graphical Method
3.2
Algebraic Methods Of Solving A Pair Of Linear Equations,Substitution Method
3.3
Consistency Of Pair ,Inconsistency Of Pair Of Linear Equations
3.4
Algebraic Conditions For Number Of Solutions,Simple Situational Problems
3.5
Pair Of Linear Equations In Two Variables ,Relation Between Co-efficient
Arithmetic Progression
4
4.0
General Term Of An Arithmetic Progression
4.1
Nth Term Of An Ap ,General Term Of The Ap,Sum Of First N Terms Of An A.P.
4.2
Sum Of The First ‘n’ Terms Of An Arithmetic Progression,Derivation Of The N Th Term
4.3
Arithmetic Progressions Examples And Solutions
Quadratic Equation
3
5.0
Standard Form Of A Quadratic Equation
5.1
Quadratic Equations By Factorization ,Completing The Square
5.2
Relationship Between Discriminant And Nature Of Roots ,Geometrical Meaning Of The Zeroes Of A Polynomial
Polynomials
1
6.0
Relationship Between Zeroes And Coefficients Of A Polynomial ,Division Algorithm
Circles
3
7.0
Tangent Theorem: A Tangent At Any Point Of A Circle Is Perpendicular To The Radius Through The Point Of Contact.
7.1
Concept Of Circle – Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle
7.2
Circumference, Interior And Exterior, Concentric Circles
Triangles
3
8.0
Similar Figures ,Basic Proportionality Theorem (Thales Theorem)
8.2
Areas Of Similar Triangles
8.3
Right-angled Triangles And Pythagoras Property,Triangles Examples And Solutions
Constructions
5
9.0
Division Of A Line Segment ,Division Of Line Segment In A Given Ratio
9.1
Construction Of A Triangle Similar To A Given Triangle,To Divide A Line Segment In A Given Ratio
9.2
To Construct A Triangle Similar To A Given Triangle As Per Given Scale Factor
9.3
Construction Of Tangent To The Circle From The Point OutSide The Circle
9.4
To Construct The Tangents To A Circle From A Point Outside It.Constructions Examples And Solutions
Heights And Distances
1
10.0
Problems Involving Angle Of Elevation, Angle Of Depression,Angle Of Elevation And Depression
Trigonometry
5
11.0
Trigonometric Ratios Of Complementary Angles,Trigonometric Identities
11.1
Trigonometric Ratios And Its Reciprocal
11.2
Trigonometric Ratios Of Some Special Angles , Complementary Angles
11.3
Trigonometric Identities ,Proof Of Existence ,
11.4
Relationships Between The Ratios
Statistics
2
12.0
Mean,Mode,Median Of Grouped Data
12.1
Graphical Representation Of Cumulative Frequency Distribution
Probability
3
13.0
Probability – A Theoretical Approach ,Sure Event Or A Certain Event, Complementary Events
13.1
Type Of Event – Impossible And Sure Or Certain
13.2
Have Equally Likely Outcomes, Impossible Event,Sample Space,Basic Ideas Of Probability,Concept Or Properties
Lines
3
14.0
Coordinate Geometry,To Find Distance Between Any Two Points On An Axis
14.1
Distance Formula ,Section Formula ,Area Of A Triangle
14.2
Graphs Of Linear Equations,Basic Geometric Constructions
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