MATHS IX DELETED PORTION

 THE SIDDIQUI ACADEMY

ADMIN : SHAHBAZ SIDDIQUI



CHAPTER-WISE SYLLABUS ANALYSIS (2022-23)
Topics Added (✔️) | Topics Deleted (❌)
Chapter 1 - Real Numbers
❌ Representation of terminating/ non-terminating recurring decimals on the number line through successive magnification.
✔️ Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
✔️ Definition of nth root of a real number.
Chapter 2 - Polynomials
✔️ Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem.
Chapter 3 - Coordinate Geometry
NIL
Chapter 4 - Linear Equations In Two Variables
❌ Graph of linear equations in two variables.
❌ Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.
Chapter 5 - Introduction to Euclid's Geometry
✔️ History - Geometry in India and Euclid's geometry.
✔️ Euclid's method of formalising observed phenomena into rigorous Mathematics with definitions, common/ obvious notions, axioms/ postulates and theorems.
✔️ The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them.
(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
Chapter 6 - Lines and Angles
❌ (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.
❌ (Prove) The sum of the angles of a triangle is 180°.
❌ (Motivate) If a side of a triangle is produced, the exterior angle formed is equal to the sum of the two interior opposite angles.
Chapter 7 - Triangles
❌ (Motivate) Triangle inequalities and relation between ‘angle and facing side' inequalities in triangles.
Chapter 8 - Quadrilaterals
NIL
❌ Chapter 9 - Areas of Parallelograms and Triangles
Chapter 10 - Circles
❌ There is one and only one circle passing through three given non-collinear points.
✔️ The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
❌ Chapter 11 - Constructions
Chapter 12 - Heron’s Formula
❌ Application of Heron’s Formula in finding the area of a quadrilateral.
Chapter 13 - Surface Area and Volumes
NIL
Chapter 14 - Statistics
❌ Introduction to Statistics: Collection of data, presentation of data–tabular form, ungrouped/ grouped,
✔️ (with varying base lengths), frequency polygons.
❌ Chapter 15 - Probability

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