Complete Adhdhyan Class 9 Mathematics Topic wise Textbook based on NCERT for UP Board

• Complete Adhdhyan is a new concept, Topic wise Textbook based on NCERT for UP Board as per latest syllabus and changed paper pattern.
• It is also helpful for other state boards, CBSE and Competitive Exams Preparation.
• Complete Theory each chapter covers the detailed theory divided into topic.
• Tables are given in the mid of the chapters to provide an overview of a topic.
• Pictorial presentations like flowchart, graphs and diagrams are given in order to illustrate the concepts more easily.
• Check Point after each topic in order to assess the progress of the reader, have been given in between the topics.
• Solved Examples, Gist of the chapter, Concept Map, HOTS (High Order Thinking Skill) based questions, Key terms are imporant features of the series.Complete Revision for quick revision of the chapter.
• A list of important terms related to the chapter.
• Chapter at a Glance helps in overview of the chapter.
• Chapter Compendium has been given at the end of the chapter.
• Complete NCERT Exercise has answer of the questions and exercises given in the NCERT textbook.
• Complete Exam Practice Solved questions based on the chapter have been provided to introduce the readers with answer writing methodologies.
• Self-Assessment Corner questions based on the chapter have been given at the end for students to practice on their own.
• The questions are in consonance with the paper pattern of UP board.
• Complete Map Work has questions based on maps.
• Complete Project Work for complete study of the subject.
• Complete Adhdhyan series includes books for Hindi, Samanya Hindi, English, Vigyan, Science, Ganit, Mathematics, Samajik Vigyan, Social Science for class 9, 10, 11, 12

Contents

1. Number Systems
2. Polynomials
3. Coordinate Geometry
4. Linear Equations in Two Variables (The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane)
5. Introduction to Euclid’s Geometry
[History : Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon 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.]
6. Lines and Angles
7. Triangles
8. Quadrilaterals

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse.]

9. Areas of Parallelogram and Triangles
[1. (Prove) Parallelograms on the same base and between the same parallels have the same area.
2. (Motivate) Triangles on the same (or equal base) base and between the same parallels are equal in area.]
10. Circles
11. Constructions
[1. Construction of bisectors of line segments and angles of measure 60°, 90°, 45° etc., equilat-
eral triangles.
2. Construction of a triangle given its base, sum/difference of the other two sides and one
base angle.
3. Construction of a triangle of given perimeter and base angles.]
12. Heron’s Formula
13. Surface Areas and Volumes
14. Statistics
[Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped /grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data.]
15. Probability

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