9th Grade Math ( CLASS-9 )

Class-9 is described as -

i) PURE MATHEMATICS

A) RATIONAL NUMBERS -

1) Rational Numbers,

2) Operation on Rational Numbers

3) Properties of Addition on Rational Number

4) Properties of Multiplication on Rational Number

5) Denseness-The Property Of Rational Number,

B) IRRATIONAL NUMBERS -

6) Irrational Numbers,

7) Theorem in Irrational Numbers

8) Problem & Solution Irrational Numbers,

9) Some more result in Irrational Numbers,

10) Irrational numbers as Real Numbers,

11) Their place in the Rational Numbers,

C) NATURAL NUMBERS -

12) Natural Number-Whole Number,

13) Real Numbers,

D) DECIMALS -

14) Repeating Decimals,

15) Terminating Decimals,

16) Vulgar Fraction,

E) SURDS -

17) Concept of Surds,

18) Rationalization of Surds,

19) Simplifying an expression by Rationalizing the Denominator,

20) Problem & Solution on Surds,

ii) COMMERCIAL MATHEMATICS

A) SIMPLE INTEREST-

1) Simple Interest,

B) COMPOUND INTEREST-

2) Introduction of Compound Interest,

3) Problem & Solution on Compound Interest,

4) Finding Compound Interest Using Formulae,

5) Finding Compound Interest When Rates & Years are Different,

6) Finding Compound Interest When Period is not a Complete Number of Years,

7) Finding Compound Interest when Interest is Compounded Half Yearly,

C) POPULATION -

9) Population Growth with Different Percentage & Different Time Duration,

10) Concept of Population De-growth,

D) ARTICLE -

11) Concept of Depreciation of an Article,

iii) ALGEBRA

A) ALGEBRA -

1) Formulae,

2) Expansion,

B) FACTORIZATION -

3) Factorization,

4) Factorization by Taking Common Factor,

5) Factorization by Grouping,

6) Some Special Factorization,

C) SIMULTANEOUS LINEAR EQUATIONS -

7) Simultaneous Linear Equations,

8) Solution of Linear Equations,

9) Simultaneous Linear Equations in two Variables with Numerical Coefficient,

10) Solution of Two Simultaneous Linear Equations,

11) Substitution Method of Solving Simultaneous Linear Equations,

12) Elimination Method Of Solving Simultaneous Linear Equations,

13) Problem & Solution Of Simultaneous Linear Equations,

14) Method of Cross Multiplication in Simultaneous Linear Equations,

15) Problem & Solution on Cross Multiplication

16) Simultaneous Linear Equation - Problem on Number

17) Simultaneous Linear Equation - Problem On Age

18) Simultaneous Linear Equation - Problem on Money

24) Simultaneous Linear Equation - Problem on Miscellaneous

iv) LOGARITHM

1) Introduction of Logarithm,

2) Two Important Results in Logarithm,

3) Conversion into Logarithm Form,

4) Conversion into Exponential Form,

5) Solve for 'X',

6) Write in terms of 'X',

7) Laws of Logarithm,

8) Problem & Solution,

9) Some Important Solution,

v) STATISTICS

1) Understanding and recognition of raw,

2) Arrayed and group data,

3) Tabulation of raw data using tally marks,

4) Understanding and Recognition of Discrete and Continuous Variable,

5) Mean & Median of Regrouped Data,

6) Class Intervals,

7) Class Boundaries and Limits,

8) Frequency,

9) Frequency Table,

A) FREQUENCY DISTRIBUTION -

1) Introduction Of Frequency Distribution,

2) Raw or Un-grouped Data,

3) Grouped Data,

4) Important Term Related to Grouped Data,

5) Method Of Forming Class Of Data,

6) Rule to Convert From Discontinuous to Continuous Form,

7) Cumulative Frequency of Class Intervals,

B) MEAN & MEDIAN OF UN-GROUPED DATA AND FREQUENCY POLYGON -

1) Introduction of Mean & Median

2) Mean for an Un-grouped Frequency Distribution

3) Un-grouped Frequency Distribution by Direct Method

4) Un-grouped Frequency Distribution by Assumed Mean Method

5) Un-grouped Frequency Distribution by Step Deviation Method

6) Method for Finding Median of an Un-grouped Data

7) Median of Discrete Series

vi) INDICES

1) Indices/Exponents,

2) Laws of Indices,

3) Fractional Indices,

vii) GEOMETRY

1) Area & Parameter of Perimeter Of Plane Figure

A) TRIANGLE -

a) Area Of Triangle

b) Heron's Formulae

c) Pythagoras Theorem

d) Area of a Right Angled Triangle

e) Area of a Isosceles Triangle

f) Area of a Equilateral Triangle

a) Perimeter & Area of Quadrilateral

b) Area of Quadrilateral where Diagonals Intersects at Right Angle

c) Area, Perimeter, & Diagonal of Rectangle

e) Area of Parallelogram

f) Area of Rhombus

g) Area of Area of Trapezium

h) Perimeter, & Area of Quadrilateral - Problem & Solution

C) CIRCLE -

a) Introduction of Circumference & Area of Circle

b) Area of a Circle

c) Area of Circular Ring

d) Area of Semi-Circle

e) Equilateral Triangle

f) Rotation made my a Wheel

h) Problem & Solution

D) VOLUME & SURFACE AREA OF SOLIDS -

b) Diagonal of Cuboid

c) Total Surface Area Of The Cuboid

d) Lateral Surface Area of a Cuboid

e) Cube

f) Relation Between Various Units Of Volume

g) Cross Section

h) T-Ratios Problem & Solution

2) Rectilinear Figures,

viii) MENSURATION

(Area and perimeter of Triangle, Area and perimeter of a Quadrilateral, Area and circumference of a Circle, Surface area of a and volume of cube and cuboid),

ix) TRIGONOMETRY

a) Introduction of Trigonometrical Ratio,

b) T-Ratios of an Angle,

c) T-Ratios for ∠C,

d) Power of T-Ratios

e) Quotient Relation in T-Ratios

f) Square Relation in T-Ratios

g) Problem & Solution of T-Ratios

i)  T-Ratios of 45

j)  T-Ratios of 60⁰

k)  T-Ratios of 0⁰ and 90

l)   T-Ratios Problem & Solution (Without using table)

m)  Trigonometrical Ratios of Complementary Angles

n)  Trigonometrical Ratios (T-Ratios) of Complementary Angles - Problem & Solution

x) CO-ORDINATE GEOMETRY

(Cartesian system, Plotting of points in the plane for given coordinates, Solving simultaneous linear equation),

xi) EXERCISE