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Topic Covered in Class 9 Maths Course
Chapter 1 : Number System
Chapter 2 : Polynomials
Constants & Variables; Algebraic Expressions; Terms of an algebraic Expression; Polynomials; Degree of Polynomial; Classification of Polynomial; Zeros of polynomial;
Division of Polynomials; Remainder Theorem; Factor Theorem;
Factorization of Quadratic Trinomials; Middle Spliting Term; Algebraic Identities;
Chapter 3 : Coordinate Geometry
Basic Terms;
Cartesian System- Coordinate axes, Quadrant; Coordinates of point on axis- Point on a Graph, Is (x,y) same as (y,x), Another meaning of x and y coordinates;
Finding area of triangle or rectangle- Example of triangle, Examples of rectangle; Mirror image of a point- Image in x-axis, Image in y-axis; Summary;
Chapter 4 : Linear Equations
Chapter 5 : Introduction to Euclid's Geometry
Chapter 6 : Lines and Angles
Angles & their properties- Angles, Types of angles, Complementary angles, Supplementary angles, Angle Bisector;
Angle Relations- Adjacent Angles, Linear Pair of Angles, Theorem 1, Theorem 2, Vertically Opposite Angles, Theorem 3;
Parallel Lines- Transversal, Corresponding Angles, Alternate Interior Angles, Consecutive Interior Angles, Corresponding Angles Axiom;
Properties of Alternate Interior Angles- Theorem 4, Theorem 5;
Properties of Consecutive Interior Angles- Theorem 6, Theorem 7;
Chapter 7: Triangles
Definition of Triangle; Types of Triangles- On the basis of Sides, On The basis of Angles; Terms Related to a Triangle- Median & Centroid, Altitude &Â Orthocentre; Theorem 1;Â Exterior Angle of a Triangle- Theorem 2;
Congruent Figures; Congruence of Triangles; SAS Congruence Criteria- Theorem 3, Theorem 4; ASA Congruence Criteria- Theorem 5;
AAS Congruence Criteria- Theorem 6, Theorem 7;
SSS Congruence Criteria- Theorem 8, RHS Congruence Criteria, Theorem 9;
Inequality relations in triangle- Theorem 10, Theorem 11, Theorem 12;
Chapter 8 :Quadrilaterals
Congruence of Triangles- SAS Congruence Criteria, ASA Congruence Criteria, SSS Congruence Criteria, RHS Congruence Criteria; Types of Quadrilateral- Parallelogram, Rectangle, Rhombus, Square, Trapezium, Kite;
Theorem 1; Properties of parallelogram- Theorem 2, Theorem 3;
Theorem 4; Theorem 5;
Conditions for a Quadrilateral to be a parallelogram- Theorem 6, Theorem 7, Theorem 8;
Theorem 9(Mid-point Theorem);
Theorem 10;
Chapter 9 : Area of Triangles and Parallelogram
Introduction; Polygonal Regions- Triangular Regions, Rectangular Region, Polygonal Region; Area axioms;
Area of parallelogam- Theorem 1, Theorem 2;
Area of Triangle- Theorem 3;
Relation between triangle & parallelogram- Theorem 4;
Comparing Area of 2 Triangles- Theorem 5, Theorem 6, Theorem 7;
Chapter 10 : Circles
Circle & Related Terms- Geometrical definition, Position of a point, Circular Region, Secant & Tangent, Radius, Circumference, Chord & Diameter, Concentric circles, Arc of a circle, Semicircle, Minor & major Arc, Segment of a circle, Sector & Quadrant of a circle, Congruent circles and arcs;
Properties of Chords- Theorem 1, Theorem 2, Theorem 3, Theorem 4;
Results on Equal Chords- Theorem 5, Theorem 6;
Angles Subtended by Arcs- Theorem 7, Theorem 8;
Cyclic Quadrilateral &Â its Properties- Cyclic Quadrilateral, Theorem 10, Theorem 11;
Chapter 11 : Construction
Chapter 12 : Heron's Formula
Area of a triangle by simple formula; Area of a triangle by
Heron's formula;
Heron's formula;
Area of quadrilateral;
Chapter 13 : Surface Area and Volume
Surface area and Volume of Cuboid, Surface area and Volume of Cube;
Surface area and Volume of Cylinder, Surface area and Volume of Cone, Surface area and Volume of Sphere;
Chapter 14 : Statistics
Data; Presentation of Data; Understanding Basic terms;
Questions;
Bar Graph, Histogram, Frequency Polygon;
Mean; Mean for an ungrouped freq. Dist. Table; Assumed Mean Method; Step Deviation Method; Median; Mode;
Chapter 15 : Probability
Activities; Understanding term Probability; Experiments;
Event; Probability; Empirical Probability- Tossing a coin;
Rolling a dice; Miscellaneous Example;
About Instructors
Dronstudy Academic Team
DronStudy Academic team consists of IITian teachers of Kota fame. The team has more than 45 years of teaching experience put together. It is headed by Neetin Agrawal Sir - B.Tech IIT Madras / Author of 3 books for IIT-JEE Physics / Taught in some of the best Coaching Institutes of India / Has several Inventions (Patents) to his name during his Corporate Research years.
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admin (verified owner)
these videos are available in pendrive