9th Grade Math ( CLASS-9 )
In continuation of Nursery to 8th Grade Math, 9th Grade Math actually consist of more than a basic level math which will definitely help you to build the foundation for higher grade mathematics. Here we have tried to learn math step by step, showing very easy simplified process with very logical way. In every stages of math we have tried to develop your concept about math with preparation for higher level math. So, here you will learn 9th Grade Math and 9th Grade Math problems step by step, and we have also provided 9th Grade math worksheets for your own practice to boost up your own confidence. 9th Grade math is very important to build the foundation for ICSE, CBSE, and other competitive board exam. Entire module or syllabus of 9th Grade Math are given below -
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 -
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,
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 -
8) Concept About Population Growth,
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,
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,
19) Simultaneous Linear Equation - Problem On Speed & Time,
20) Simultaneous Linear Equations - Problem on Boat & Stream,
21) Simultaneous Linear Equation - Problem on Areas,
22) Simultaneous Linear Equation - Problem on Time & Work,
23) Simultaneous Linear Equation - Problem on Geometry,
24) Simultaneous Linear Equation - Problem on Miscellaneous,
iv) LOGARITHM
2) Two Important Results in Logarithm,
3) Conversion into Logarithm Form,
4) Conversion into Exponential Form,
5) Solve for 'X',
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,
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
vi) INDICES
2) Laws of Indices,
vii) GEOMETRY
1) Area & Parameter of Perimeter Of Plane Figure
A) TRIANGLE -
d) Area of a Right Angled Triangle
e) Area of a Isosceles Triangle
f) Area of a Equilateral Triangle
B) QUADRILATERAL -
a) Perimeter & Area of Quadrilateral
b) Area of Quadrilateral where Diagonals Intersects at Right Angle
c) Area, Perimeter, & Diagonal of Rectangle
d) Area, Perimeter, & Diagonal of Square
h) Perimeter, & Area of Quadrilateral - Problem & Solution
C) CIRCLE -
a) Introduction of Circumference & Area of Circle
D) VOLUME & SURFACE AREA OF SOLIDS -
c) Total Surface Area Of The Cuboid
d) Lateral Surface Area of a Cuboid
e) Cube
f) Relation Between Various Units Of Volume
h) T-Ratios Problem & Solution
i) Two Dimensional 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,
c) T-Ratios for ∠C,
e) Quotient Relation in T-Ratios
f) Square Relation in T-Ratios
g) Problem & Solution of T-Ratios
h) T-Ratios of 30⁰
i) T-Ratios of 45⁰
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
1) 9th Grade Math Worksheets,
2) Homework, etc.