9th Class Math Chapter Wise

  Unit 5: Factorization (Page 97 – 106 ) Introduction, Remainder Theorem and Factor Theorem, To find remainder(without dividing) when a polynomial is divided by a linear polynomial  zero of a polynomial, Ex 5.3 ,Factorization of a cubic polynomial , Rational root Theorem, Ex 5.4, Review Ex# 5 Unit 6: Algebraic Manipulation Introduction, Highest Common Factor (HCF by factorization and division method) and Least Common Multiple (LCM by factorization) of algebraic expressions, Relation between HCF and LCM, Application of HCF and LCM, EX# 6.1. Square root of Algebraic Expression (Definition by factorization and division), EX# 6.3, Review EX# 6. Unit 7: Linear Graph and Inequalities Introduction Linear equations, definitions, solving a linear equation in one variable, Technique for solving, Equations involving radicals but reducible to linear form, EX# 7.1, Equation involving absolute value (Definition, Sum properties of absolute value), Solving linear equations involving absolute value, EX# 7.2 Linear Inequalities, Properties of inequalities (Law of Trichotomy, Transitive Property, Additive Closure Property, Multiplicative Property), Solving linear inequalities, EX# 7.3, Review EX # 7. Unit 8: Linear Graph and Inequalities Cartesian Plan and Linear Graphs, An ordered pair of Real Numbers, Recognizing and ordered pair, Cartesian plan, identification of Region and Coordinate axes, Location of point in plan, Drawing different geometrical shapes in Cartesian plan (Line Segment, Triangle, Rectangle), Construction of table for pair of values satisfying linear equation in two variables, plotting the points to get the graph, Scale of Graph, Drawing Graphs of the following Equations, Drawing Graph from a given table of Discrete Values, Conversion Graphs, Reading a given Graph, EX# 8.2,  8.3, Review Exercise 8. Unit 9: Introduction to Coordinate Geometry Distance Formula, EX# 9.1, Collinear and Non-collinear points, Use of Distance formula for different shapes, EX# 9.2, Midpoint formula and its verification, EX# 9.3, Review EX# 9. Unit 10: Congruent Triangles Congruency of  Triangles, Theorem #10.1.1, EX# 10.1, Theorem # 10.1.2, EX# 10.2, Theorem# 10.1.3, EX# 10.3, Theorem# 10.1.4, EX# 10.4, Review# 10. Unit 11: Parallelograms and Triangles (Page 199 – 208 ) Theorem 11.1.1, 11.1.2, 11.1.3, 11.1.4, 11.1,5, with corollaries, Ex. 11.1, 11.2,  11.3,  11.4,  11.5,  Review Ex. 11 Unit 12: Line bisectors and angle bisectors (Page 210 – 217) Introduction, Right bisector of a line segment and Bisector of an angle, Theorem 12.1.1, 12.1.2, 12.1.3, 12.1.4, 12.1.5, 12.1.6, Ex12.1, 12.2, 12.3, Review EX# 12. Unit 13: Side and Angles of a Triangle (Page 218 – 227) Theorem 13.1.1, 13.1.2, 13.1.3, 13.1.4, and Corollaries, EX# 13.1, 13.2, Review EX# 13. Unit 14: Ration and Proportion (Page 228 – 237) Theorem 14.1.1, 14.1.2, 14.1.3, 14.1.4 and Corollaries, EX# 14.1, 14.2, Review EX# 14. Unit 15: Pythagoras Theorem (Page 238 – 243) Theorem# 15.1.1, 15.1.2, EX# 15, Review EX# 15. Introduction, Some Preliminaries (Area of Triangular Region, Congruent Area axiom, Rectangular Region between the same parallels, Unit 16: Pythagoras Theorem (Page 244 – 248) Theorem# 16.1.1, 16.1.2 EX# 16.1 Theorem# 16.1.1, 16.1.2, EX# 16.2, Review EX# 16.EX# 17.1 Unit 17: Practical Geometry (Page 256 – 261) Drawing angle bisector, Altitude, Perpendicular bisector and medians of given triangles, EX# 17.2. Figures with Equal Areas EX# 17.3, 17.4, 17.5, Review EX# 17. Figures with Equal Areas EX# 17.3, 17.4, 17.5, Review EX# 17.