{"id":31105,"date":"2026-02-26T17:45:51","date_gmt":"2026-02-26T12:15:51","guid":{"rendered":"https:\/\/mycbseguide.com\/blog\/?p=31105"},"modified":"2026-02-27T11:39:22","modified_gmt":"2026-02-27T06:09:22","slug":"ncert-new-book-class-9-maths-2026-27","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/","title":{"rendered":"NCERT New Book Class 9 Maths (2026-27)"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Class_9_Maths_New_Book_Chapters\" >Class 9 Maths New Book Chapters<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Learning_Outcomes\" >Learning Outcomes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Coordinate_Geometry\" >Coordinate Geometry<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Introduction_to_Polynomials\" >Introduction to Polynomials<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Number_Systems\" >Number Systems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Introduction_to_Euclids_Geometry_Axioms_and_Postulates\" >Introduction to Euclid\u2019s Geometry: Axioms and Postulates<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Lines_and_Angles\" >Lines and Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Sequences_and_Progressions\" >Sequences and Progressions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Triangles_Congruence_Theorems\" >Triangles: Congruence Theorems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Mensuration_Area_and_Perimeter\" >Mensuration: Area and Perimeter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Exploring_Algebraic_Identities\" >Exploring Algebraic Identities<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#4-gons_Quadrilaterals\" >4-gons (Quadrilaterals)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Circles\" >Circles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Linear_Equations_in_Two_Variables\" >Linear Equations in Two Variables<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Mensuration_Surface_Area_and_Volume\" >Mensuration: Surface Area and Volume<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Statistics\" >Statistics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/#Introduction_to_Probability\" >Introduction to Probability<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>NCERT has released the draft of the class 9 new maths book for the session 2026-27. Here is the complete analysis of the NCERT new book class 9 Maths. The new book of class 9 Maths has 15 chapters. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/mcg\/ncert_book_maths.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>Do you want to know more about the Class 9th Maths book? Get study material on myCBSEguide app:<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-tertiary-color has-vivid-purple-background-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide\" style=\"padding-top:var(--wp--preset--spacing--30);padding-right:var(--wp--preset--spacing--30);padding-bottom:var(--wp--preset--spacing--30);padding-left:var(--wp--preset--spacing--30);text-transform:capitalize\">myCBSEguide App<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Class_9_Maths_New_Book_Chapters\"><\/span>Class 9 Maths New Book Chapters<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>As discussed, there are 15 chapters in the new book for class 9th Maths. <\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Coordinate Geometry<\/li>\n\n\n\n<li>Introduction to Polynomials<\/li>\n\n\n\n<li>Number Systems<\/li>\n\n\n\n<li>Introduction to Euclid\u2019s Geometry: Axioms and Postulates<\/li>\n\n\n\n<li>Lines and Angles<\/li>\n\n\n\n<li>Sequences and Progressions<\/li>\n\n\n\n<li>Triangles: Congruence Theorems<\/li>\n\n\n\n<li>Mensuration: Area and Perimeter<\/li>\n\n\n\n<li>Exploring Algebraic Identities<\/li>\n\n\n\n<li>4-gons (Quadrilaterals)<\/li>\n\n\n\n<li>Circles<\/li>\n\n\n\n<li>Linear Equations in Two Variables<\/li>\n\n\n\n<li>Mensuration: Surface Area and Volume<\/li>\n\n\n\n<li>Statistics<\/li>\n\n\n\n<li>Introduction to Probability<\/li>\n<\/ol>\n\n\n\n<p>Here are these chapters:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td>Chapter Name<\/td><td>Topics Included<\/td><\/tr><tr><td>Coordinate Geometry<\/td><td>&#8211; Brief history of coordinate geometry<br>&#8211; The 2-D Cartesian coordinate system<br>&#8211; Distance between two points in the 2-D plane<br>&#8211; Midpoint of the distance between two points in the 2-D plane<\/td><\/tr><tr><td>Introduction to Polynomials<\/td><td>&#8211; Algebraic expressions<br>&#8211; Definition of a polynomial. Degree of a polynomial<br>&#8211; Introduction to linear polynomials and applications<br>&#8211; Exploring linear patterns<br>&#8211; Modelling linear growth and linear decay<br>&#8211; Linear relationships<br>&#8211; Visualising linear relationships<br>&#8211; Slope and y-intercept of a line $\\mathrm{y}=\\mathrm{ax}+\\mathrm{b}$<\/td><\/tr><tr><td>Number Systems<\/td><td>&#8211; Introduction to rational numbers<br>&#8211; Representation of rational numbers on the number line<br>&#8211; Density of rational numbers and its proof<br>&#8211; Finding rational numbers between any two rational numbers<br>&#8211; Decimal representation of rational numbers<br>&#8211; Introduction to irrational numbers<br>&#8211; Proof of irrationality of $\\sqrt{2}$ and $\\sqrt{3}$<br>&#8211; The square root spiral<\/td><\/tr><tr><td>Introduction to Euclid\u2019s Geometry: Axioms and Postulates<\/td><td>&#8211; History of geometry<br>&#8211; Constructing a square with a given side as described in the Baudhayana&#8217;s Sulbasutras<br>&#8211; Discovering Euclid&#8217;s definitions<br>&#8211; Axioms: Axioms of measurement and rules for geometric objects<\/td><\/tr><tr><td>Lines and Angles<\/td><td>&#8211; Rays and angles<br>&#8211; Measures of angles<br>&#8211; Intersecting lines and angles<br>&#8211; Pairs of angles<br>&#8211; Theorems and examples on intersecting lines<br>&#8211; Theorems and examples on parallel lines<\/td><\/tr><tr><td>Sequences and Progressions<\/td><td>&#8211; Introduction to sequences<br>&#8211; Explicit or general rule of a sequence<br>&#8211; Recursive rule of a sequence<br>&#8211; Arithmetic Progressions (AP): nth term, visualising an AP, and practical contexts leading to &#8211; APs<br>&#8211; Sum of the first n natural numbers<br>&#8211; Geometric Progressions (GP): nth term, visualising a GP, and practical contexts leading to GPs<br>&#8211; Applications of GP in fractals<br>&#8211; Tower of Hanoi puzzle<\/td><\/tr><tr><td>Triangles: Congruence Theorems<\/td><td>&#8211; Practical applications and uses of triangles<br>&#8211; Conditions of congruence of triangles and their proofs<br>&#8211; Theorems on triangles<br>&#8211; Propositions and the converse of a proposition<br>&#8211; Problems based on applications of theorems on triangles<\/td><\/tr><tr><td>Mensuration: Area and Perimeter<\/td><td>&#8211; Perimeter of shapes<br>&#8211; Perimeter of a circle: Introduction to Pi and its irrationality<br>&#8211; Length of an arc<br>&#8211; Area of shapes: rectangles, parallelograms, and triangles<br>&#8211; Heron&#8217;s formula<br>&#8211; Squaring a rectangle: Proof from Baudhayana&#8217;s Sulbasutras<br>&#8211; Area of a circle: derivation<br>&#8211; Area of the sector of a circle<br>&#8211; Brahmagupta&#8217;s formula for the area of a cyclic 4-gon<br>&#8211; Heron&#8217;s formula as a special case of Brahmagupta&#8217;s formula<\/td><\/tr><tr><td>Exploring Algebraic Identities<\/td><td>&#8211; Revisiting algebraic identities<br>&#8211; Visualising identities using geometrical models<br>&#8211; Factorisation of algebraic expressions using identities<br>&#8211; More identities and their applications<br>&#8211; Visualising factorisation of quadratic expressions through algebra tiles<br>&#8211; Factorisation without using algebra tiles<br>&#8211; Finding new identities<br>&#8211; Simplifying rational expressions<\/td><\/tr><tr><td>4-gons (Quadrilaterals)<\/td><td>&#8211; Properties of parallelograms<br>&#8211; Important theorems related to parallelograms and their proof<br>&#8211; The midpoint theorem and its applications<br>&#8211; Understanding the notion of central symmetry in the context of parallelograms<\/td><\/tr><tr><td>Circles<\/td><td>&#8211; Practical applications and uses of circles<br>&#8211; Definitions related to a circle-centre, diameter, and radius<br>&#8211; Chords and the angles they subtend<br>&#8211; Midpoints and perpendicular bisectors of chords<br>&#8211; Distance of chords from the centre<br>&#8211; Subtended angles by an arc<br>&#8211; Cyclicity of points<\/td><\/tr><tr><td>Linear Equations in Two Variables<\/td><td>&#8211; Introduction to linear equations in two variables through practical examples<br>&#8211; Solution of linear equation in two variables: graphical representation<br>&#8211; Slope-intercept form of linear equation in two variables<br>&#8211; Drawing graphs of linear equations when x and y assume only certain values<br>&#8211; Pair of linear equations in two variables<br>&#8211; Graphical method for solving a pair of linear equations in two variables<br>&#8211; Nature of solutions: consistency and inconsistency<br>&#8211; Algebraic methods of solving a pair of linear equations: method of substitution and method of elimination<\/td><\/tr><tr><td>Mensuration: Surface Area and Volume<\/td><td>&#8211; Surface areas and volumes of spheres (including hemispheres) and right circular cones<\/td><\/tr><tr><td>Statistics<\/td><td>&#8211; Graphical representation of data<br>&#8211; Measures of central tendency<\/td><\/tr><tr><td>Introduction to Probability<\/td><td>&#8211; Concept of probability and randomness<br>&#8211; The probability scale<br>&#8211; Empirical probability: analysing statistical data and performing experiments<br>&#8211; Theoretical probability: sample space and events<br>&#8211; Representing probability through tree diagrams and tables<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Learning_Outcomes\"><\/span>Learning Outcomes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here are the learning outcomes for each chapter.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Coordinate_Geometry\"><\/span>Coordinate Geometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Specify locations and the position of one point relative to another point using coordinates.<\/li>\n\n\n\n<li>Represent a floor plan on a grid using coordinates.<\/li>\n\n\n\n<li>Compute the distance between two points using coordinates.<\/li>\n\n\n\n<li>Determine whether three points lie in a straight line using coordinates.<\/li>\n\n\n\n<li>Compute the position of the midpoint of a line segment using coordinates.<\/li>\n\n\n\n<li>Check whether a triangle is right-angled using coordinates.<\/li>\n\n\n\n<li>Apply computational thinking to model situations on the coordinate plane and verify geometric properties through systematic reasoning.<\/li>\n\n\n\n<li>Relevant CGs: CG-4, C-4.5, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Introduction_to_Polynomials\"><\/span>Introduction to Polynomials<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand the meaning of an algebraic expression.<\/li>\n\n\n\n<li>Define a polynomial.<\/li>\n\n\n\n<li>Identify the degree, terms and coefficients of terms in a polynomial.<\/li>\n\n\n\n<li>Model linear growth and decay using linear polynomials.<\/li>\n\n\n\n<li>Explain and identify patterns in linear relationships.<\/li>\n\n\n\n<li>Identify the slope and y-intercept of a linear equation in two variables.<\/li>\n\n\n\n<li>Graph a linear equation in two variables.<\/li>\n\n\n\n<li>Use computational thinking to identify patterns, construct linear expressions, and systematically represent and analyse linear relationships using equations and graphs.<\/li>\n\n\n\n<li>Relevant CGs: CG-3, C-3.2 , CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Number_Systems\"><\/span>Number Systems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand the concept of a rational number.<\/li>\n\n\n\n<li>Represent rational numbers on the number line.<\/li>\n\n\n\n<li>Understand the properties of rational numbers.<\/li>\n\n\n\n<li>Explain the concept of density of rational numbers.<\/li>\n\n\n\n<li>Compute decimal representation of rational numbers.<\/li>\n\n\n\n<li>Understand the concept of irrational numbers.<\/li>\n\n\n\n<li>Prove the irrationality.<\/li>\n\n\n\n<li>Construct the square root spiral.<\/li>\n\n\n\n<li>Apply computational thinking to represent rational and irrational numbers through algorithms and visual models, generate decimal expansions systematically, and reason about numbers using step-by-step logical procedures.<\/li>\n\n\n\n<li>Relevant CGs: CG-1, C-1.1, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Introduction_to_Euclids_Geometry_Axioms_and_Postulates\"><\/span>Introduction to Euclid\u2019s Geometry: Axioms and Postulates<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Describe how geometry grew from the practical needs ancient civilisations.<\/li>\n\n\n\n<li>Describe contributions of India, Egypt and Greece to the development of geometric ideas.<\/li>\n\n\n\n<li>Understand the role of definitions, axioms, and postulates.<\/li>\n\n\n\n<li>Explain that there are elements of plane geometry (point, line, surface) for which we have an intuitive sense.<\/li>\n\n\n\n<li>State the 5 postulates of Euclidean geometry.<\/li>\n\n\n\n<li>Define parallelism of straight lines.<\/li>\n\n\n\n<li>Explain the construction of a square as given in the Sulbasutras.<\/li>\n\n\n\n<li>Justify simple constructions using the axioms.<\/li>\n\n\n\n<li>Relevant CGs: CG-7, C-7.1, C-7.3<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Lines_and_Angles\"><\/span>Lines and Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Explain the notion of an angle.<\/li>\n\n\n\n<li>Explain the notion of a ray.<\/li>\n\n\n\n<li>Explain that angles are formed between two rays with a common starting point.<\/li>\n\n\n\n<li>State that a straight angle equals two right angles and measures $180^{\\circ}$ while a right angle measures $90^{\\circ}$.<\/li>\n\n\n\n<li>Classify angles as acute, right, obtuse, or reflex.<\/li>\n\n\n\n<li>Define parallelism.<\/li>\n\n\n\n<li>State and apply the linear pair theorem and its converse.<\/li>\n\n\n\n<li>Follow proof by contradiction in geometry.<\/li>\n\n\n\n<li>Prove that vertically opposite angles are equal.<\/li>\n\n\n\n<li>Identify corresponding, alternate, and interior angles.<\/li>\n\n\n\n<li>Explain transitivity of parallelism.<\/li>\n\n\n\n<li>Explain why a triangle must have at least two acute angles; why it cannot have two obtuse angles, or all three angles less than $60^{\\circ}$<\/li>\n\n\n\n<li>Apply computational thinking to analyse geometric ideas by breaking constructions into ordered steps, using axioms and postulates as rules, and justifying geometric results through logical step-by-step reasoning.<\/li>\n\n\n\n<li>Relevant CGs: CG-7, C-7.1, C-7.3, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sequences_and_Progressions\"><\/span>Sequences and Progressions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand the concept of a sequence of numbers.<\/li>\n\n\n\n<li>Identify the pattern in a sequence and predict the next few terms.<\/li>\n\n\n\n<li>Determine the recursive and explicit rules for different sequences.<\/li>\n\n\n\n<li>Obtain the terms of a sequence given its recursive and explicit rule.<\/li>\n\n\n\n<li>Identify Arithmetic Progressions (AP).<\/li>\n\n\n\n<li>Determine the nth term of an AP.<\/li>\n\n\n\n<li>Visualise an AP graphically.<\/li>\n\n\n\n<li>Identify Geometric Progressions (GP).<\/li>\n\n\n\n<li>Determine the nth term of a GP.<\/li>\n\n\n\n<li>Visualise a GP graphically.<\/li>\n\n\n\n<li>Analyse attributes of fractals using GP.<\/li>\n\n\n\n<li>Solve the Tower of Hanoi puzzle.<\/li>\n\n\n\n<li>Use computational thinking to identify patterns, write step-by-step rules, and model patterns in sequences and progressions.<\/li>\n\n\n\n<li>Relevant CGs: CG-11, C-8.1, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Triangles_Congruence_Theorems\"><\/span>Triangles: Congruence Theorems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Explain that a triangle is rigid, unlike a quadrilateral.<\/li>\n\n\n\n<li>Identify uses of triangle rigidity.<\/li>\n\n\n\n<li>Explain why triangles give strength and stability to structures.<\/li>\n\n\n\n<li>Describe what it means for two triangles to be congruent.<\/li>\n\n\n\n<li>Identify correspondence between the vertices, sides, and angles of two congruent triangles.<\/li>\n\n\n\n<li>Use the SAS congruence axiom.<\/li>\n\n\n\n<li>Use the SSS congruence condition.<\/li>\n\n\n\n<li>Use the ASA congruence condition.<\/li>\n\n\n\n<li>Use the RHS congruence condition.<\/li>\n\n\n\n<li>Use the AAS congruence condition.<\/li>\n\n\n\n<li>Prove the basic properties of isosceles triangles.<\/li>\n\n\n\n<li>Explain the notion of a proposition.<\/li>\n\n\n\n<li>Explain the notion of converse of a proposition.<\/li>\n\n\n\n<li>Identify the converse of a given proposition.<\/li>\n\n\n\n<li>Explain that not all converses are true; use counter examples to show that some converses are false.<\/li>\n\n\n\n<li>Explain why SSA is not, in general, a valid congruence condition.<\/li>\n\n\n\n<li>Identify the situations where SSA is a valid congruence condition.<\/li>\n\n\n\n<li>Justify the role of diagram accuracy.<\/li>\n\n\n\n<li>Relevant CGs: CG-4, C 4.1, C-7.3<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mensuration_Area_and_Perimeter\"><\/span>Mensuration: Area and Perimeter<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Define perimeter as the length around the boundary of any shape.<\/li>\n\n\n\n<li>Explain that the circumference-to-diameter ratio is constant for all circles.<\/li>\n\n\n\n<li>List historical approximations to $\\pi$ (from Archimedes, Aryabhata, and Zu Chongzhi).<\/li>\n\n\n\n<li>Compute the circumference of a circle and the length of an arc.<\/li>\n\n\n\n<li>Apply ideas of circle perimeter and arc-length to real-world contexts.<\/li>\n\n\n\n<li>Explain why a median of a triangle divides it into two triangles of equal area.<\/li>\n\n\n\n<li>Use Heron&#8217;s formula to compute the area of a triangle from its sides.<\/li>\n\n\n\n<li>Explain the classical problem of &#8216;squaring&#8217; a given shape.<\/li>\n\n\n\n<li>Explain how ancient civilisations approximated the area of a circle.<\/li>\n\n\n\n<li>Compute the area of a circle using the formula.<\/li>\n\n\n\n<li>Explain and use the formula for area of a sector of a circle.<\/li>\n\n\n\n<li>Solve problems on areas of sectors and segments of circles.<\/li>\n\n\n\n<li>State Brahmagupta&#8217;s formula for the area of a cyclic quadrilateral in terms of its sides.<\/li>\n\n\n\n<li>Explain why Heron&#8217;s formula is a &#8216;special case&#8217; of Brahmagupta&#8217;s formula.<\/li>\n\n\n\n<li>Explain the notion of &#8216;special case&#8217; and &#8216;generalisation&#8217; in mathematics.<\/li>\n\n\n\n<li>Use computational thinking to break down shapes, apply step-by-step methods to calculate perimeter and area, recognise patterns across formulae, and understand generalisation and special cases in geometry.<\/li>\n\n\n\n<li>Relevant CGs: CG-5, C-5.1, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Exploring_Algebraic_Identities\"><\/span>Exploring Algebraic Identities<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Visualise algebraic identities using geometric models.<\/li>\n\n\n\n<li>Determine the factors of algebraic expressions using identities.<\/li>\n\n\n\n<li>Interpret factors of quadratic expressions through geometric models.<\/li>\n\n\n\n<li>Find simplified versions of rational expressions.<\/li>\n\n\n\n<li>Use computational thinking strategies, such as decomposition and step-by-step procedures to visualise algebraic identities, factor expressions, and simplify rational expressions.<\/li>\n\n\n\n<li>Relevant CGs: CG-7, C-7.2, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4-gons_Quadrilaterals\"><\/span>4-gons (Quadrilaterals)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Frame a precise definition of a 4-gon.<\/li>\n\n\n\n<li>Prove various characterisations of a parallelogram.<\/li>\n\n\n\n<li>Prove the midpoint theorem.<\/li>\n\n\n\n<li>Prove a converse of the midpoint theorem.<\/li>\n\n\n\n<li>Prove that the medians of a triangle are concurrent and each median is divided in the ratio 2:1 at the point of concurrence.<\/li>\n\n\n\n<li>Prove that the 4-gon formed by joining the midpoints of a given 4-gon is a parallelogram.<\/li>\n\n\n\n<li>Find the coordinates of the midpoint of a line segment given its end points and find the coordinates of the fourth vertex of a parallelogram given the other three.<\/li>\n\n\n\n<li>Understand reflection and rotation symmetries of 4-gons.<\/li>\n\n\n\n<li>Understand how any 4-gon can tile a plane.<\/li>\n\n\n\n<li>Practice forming logical converses of statements and asking questions guided by converses of theorems.<\/li>\n\n\n\n<li>Engage in drawing, measurement and paper manipulation activities to discover geometric patterns involving triangles and 4-gons.<\/li>\n\n\n\n<li>Relevant CGs: CG-4, C-4.2, C-7.3<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Circles\"><\/span>Circles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>State the definition of a circle.<\/li>\n\n\n\n<li>Explain the meanings of the terms &#8216;chord&#8217;, &#8216;diameter&#8217;, &#8216;radius&#8217;, &#8216;arc&#8217;, &#8216;segment&#8217;, and &#8216;sector&#8217;.<\/li>\n\n\n\n<li>Explain why there exists a unique circle through three non-collinear points.<\/li>\n\n\n\n<li>Construct the circumcircle and circumcentre of a triangle.<\/li>\n\n\n\n<li>Describe the location of the circumcentre for acute, obtuse, and right-angled triangles.<\/li>\n\n\n\n<li>Explain what &#8216;angle subtended by an arc at the centre&#8217; means.<\/li>\n\n\n\n<li>Explain why &#8216;equal chords subtend equal angles at the centre&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;chords that subtend equal angles at the centre are equal&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;the line from the centre of a circle to the midpoint of a chord is perpendicular to the chord&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;a perpendicular from the centre to a chord bisects the chord&#8217;.<\/li>\n\n\n\n<li>State the relationship between length of a chord and its distance from the centre of the circle.<\/li>\n\n\n\n<li>Explain why &#8216;equal chords are equidistant from the centre (and conversely)&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;among unequal chords, the longer chord is closer to the centre&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;the diameter is the longest chord&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;the angle subtended by an arc at the centre is double the angle subtended by the arc at any point on the remaining part of the circle&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;angles in the same segment of a circle are equal&#8217;.<\/li>\n\n\n\n<li>Explain why &#8216;the angle in a semicircle is a right angle&#8217;.<\/li>\n\n\n\n<li>Determine when four given points are concyclic.<\/li>\n\n\n\n<li>Explain why &#8216;a quadrilateral with supplementary opposite angles is cyclic, and conversely\u2019.<\/li>\n\n\n\n<li>Explain how circular wheels have influenced transport, farming, building, and technology.<\/li>\n\n\n\n<li>Identify cultural motifs involving circles, for example, the Dharmachakra, Ashoka Chakra, Sudarshan Chakra.<\/li>\n\n\n\n<li>Use computational thinking to break down circle-related problems, apply geometric rules step-by-step, and verify properties of figures, such as chords, angles, and cyclic quadrilaterals through systematic reasoning.<\/li>\n\n\n\n<li>Relevant CGs: CG-4, C-7.3, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Linear_Equations_in_Two_Variables\"><\/span>Linear Equations in Two Variables<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand the concept of a linear equation in two variables.<\/li>\n\n\n\n<li>Graph a pair of linear equations.<\/li>\n\n\n\n<li>Solve a pair of linear equations graphically.<\/li>\n\n\n\n<li>Solve a pair of linear equations through the methods of substitution and elimination.<\/li>\n\n\n\n<li>Determine the nature of solutions of a pair of linear equations.<\/li>\n\n\n\n<li>Model and solve contextualised problems using a pair of linear equations and draw conclusions.<\/li>\n\n\n\n<li>Model daily-life phenomena using representations, such as graphs, tables, and equations.<\/li>\n\n\n\n<li>Use computational thinking to systematically represent, solve, and interpret pairs of linear equations through graphs, tables, and step-by-step procedures.<\/li>\n\n\n\n<li>Relevant CGs: CG-3, C-3.2, C-8.1, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mensuration_Surface_Area_and_Volume\"><\/span>Mensuration: Surface Area and Volume<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Recognise cuboids and cubes in real-life situations.<\/li>\n\n\n\n<li>Compute the surface area and volume of a cuboid.<\/li>\n\n\n\n<li>Explain how a cube is a &#8216;special case&#8217; of a cuboid.<\/li>\n\n\n\n<li>Describe a right circular cylinder using its radius and height.<\/li>\n\n\n\n<li>Compute the surface area and volume of a cylinder.<\/li>\n\n\n\n<li>Recognise cones in daily life, and describe them using radius and height.<\/li>\n\n\n\n<li>Compute the surface area and volume of a cone.<\/li>\n\n\n\n<li>Recognise a pyramid, and identify its base and apex.<\/li>\n\n\n\n<li>Compute the surface area and volume of a pyramid.<\/li>\n\n\n\n<li>Recognise spheres in real-life situations.<\/li>\n\n\n\n<li>Compute the surface area and volume of a sphere.<\/li>\n\n\n\n<li>Use computational thinking to systematically calculate, and compare surface areas and volumes of 3-D shapes by varying dimensions and analysing patterns.<\/li>\n\n\n\n<li>Relevant CGs: CG-5, C-5.1, CG-9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Statistics\"><\/span>Statistics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Collect, organise, visualise and interpret data to answer a statistical investigative question.<\/li>\n\n\n\n<li>Compute and apply weighted average in different settings.<\/li>\n\n\n\n<li>Read and interpret stacked bar graphs and 100\\% stacked bar graphs.<\/li>\n\n\n\n<li>Apply computational thinking strategies to analyse real-life data, create appropriate graphical representations, and interpret mean, median and mode for decision-making.<\/li>\n\n\n\n<li>Relevant CGs: CG-6, C-6.1, CG &#8211; 9<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Introduction_to_Probability\"><\/span>Introduction to Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand the concept of randomness.<\/li>\n\n\n\n<li>Describe the likelihood of an event using the probability scale.<\/li>\n\n\n\n<li>Estimate the empirical probability of the occurrence of an event by analysing statistical data.<\/li>\n\n\n\n<li>Define theoretical probability of an event.<\/li>\n\n\n\n<li>Apply the definition of theoretical probability to compute the probability of an event.<\/li>\n\n\n\n<li>Compute probability of events with the help of tree diagrams and tables.<\/li>\n\n\n\n<li>Use computational thinking strategies, such as pattern recognition and simulation, to model random experiments and estimate probabilities.<br>Relevant CGs: CG-6, C-6.2, CG &#8211; 9<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>NCERT has released the draft of the class 9 new maths book for the session 2026-27. Here is the complete analysis of the NCERT new book class 9 Maths. The new book of class 9 Maths has 15 chapters. Do you want to know more about the Class 9th Maths book? Get study material on &#8230; <a title=\"NCERT New Book Class 9 Maths (2026-27)\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-new-book-class-9-maths-2026-27\/\" aria-label=\"More on NCERT New Book Class 9 Maths (2026-27)\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1346,45],"tags":[1485,2067],"class_list":["post-31105","post","type-post","status-publish","format-standard","hentry","category-cbse","category-cbse-class-09","tag-maths","tag-ncert-new-books"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT New Book Class 9 Maths (2026-27) | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT new book of class 9th Maths is having 15 chapters. 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