Grade 10 Mathematics

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Grade 10 Mathematics

Available

Chapter

Chapter Name

Marks

Sub Topics

I

Number System

06

1.    Introduction to real numbers

2.    Rational and irrational numbers

3.    Fundamental theorem of arithmetic

4.    Rational numbers and decimal expansion

II

Algerba

20

1.    Polynomials

                        i.         Concept of Zeroes of a Polynomial

                       ii.         Relationship between zeros and coefficients of quadratic polynomials.

2.    Pair of Linear Equations in Two Variables

                        i.         Pair of linear equations in two variables

                       ii.         Graphical and algebraic method of solving ( Substitution and Elimination)

                     iii.         Problems on equations reducible to linear equations

3.    Quadratic Equations

                        i.         What is a quadratic equation

                       ii.         Quadratic equation by factorization

                     iii.         Quadratic equation by using quadratic formula

                     iv.         Nature of roots and their relationship

4.    Arithmetic Progression

                        i.         What is Arithmetic Progression

                       ii.         Arithmetic Progression Derivation

                     iii.         Sum of First n terms 

III

Coordinate Geometry

06

1.    Lines

                        i.         What is coordinate geometry

                       ii.         Distance Formula

                     iii.         Section Formula

                     iv.         Graphs

 

IV

GEOMETRY

15

1.    Triangles

                        i.         Introduction to Triangles

                       ii.         Similarity of Triangles

                     iii.         Proving theorems

2.    Circles

1.    Concept of tangent to a circle

2.    Number of Tangents from a Point on a Circle

3.    Construction

1.     

V

TRIGONOMETRY

12

4.    Introduction to trigonometry

1.    Trigonometric Ratios

2.    Relationship between these ratios

5.    Trigonometric Identities

6.    Heights and Distance

VI

MENSURATION

10

1.    Areas Related to Circles

                        i.         Concept of Area and Perimeter of a circle

                       ii.         Area of related plane figures

2.    Surface Areas and Volumes

                        i.         Surface area and volume of combined figures

                       ii.         Conversion of one figure type into another.

VII

STATISTICS & PROBABILITY

11

1.    Statistics

                        i.         Mean , Median, Mode 

                       ii.         Graphical representation of data

2.    Probability

                        i.         Definition and basic problems

 

Total

80

 

 


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