Maharashtra Board 10th Maths Part-2 (गणित भाग - २) Book

The Maharashtra State Board of Secondary and Higher Secondary Education prescribes the curriculum and textbooks for Class 10. For the subject of Mathematics, it is divided into two parts: Maths Part-1 and Maths Part-2 (गणित भाग - २). This page provides specific information about the Maths Part-2 textbook used by lakhs of students across Maharashtra.

The textbook, published by the Maharashtra State Bureau of Textbook Production and Curriculum Research, commonly known as Balbharati, is the standard resource for all SSC (Secondary School Certificate) students affiliated with the Maharashtra Board. It is designed to build a strong conceptual foundation in the latter part of the high school mathematics syllabus.

Focus of Maths Part-2 Textbook for Class 10

The Maharashtra Board 10th Maths Part-2 (गणित भाग - २) book primarily deals with advanced concepts in Geometry, Trigonometry, and an introduction to Statistics and Probability. It assumes knowledge from Maths Part-1 and extends it to more complex applications and theorems.

The book follows a structured approach, starting with foundational concepts and progressively moving to higher-order problems. The language is straightforward, and each chapter includes solved examples, practice sets, and illustrative diagrams to aid self-study.

Key Aspects of the Textbook

• Official Syllabus: The content is strictly aligned with the official Maharashtra Board Class 10 Mathematics (Part-2) syllabus.
• Chapter Organization: The book is divided into distinct chapters, each focusing on a specific topic or group of related topics.
• Problem-Solving Focus: A significant portion of the book is dedicated to exercises of varying difficulty levels to reinforce learning.
• Geometrical Proofs: Emphasis is placed on understanding and writing geometrical proofs based on established theorems.
• Practical Application: Concepts like trigonometry and statistics are often presented with real-life application scenarios.

The following sections provide a detailed look into the structure and content of the Maharashtra Board Class 10 Maths Part-2 book. This information is intended for students, parents, and educators seeking a clear understanding of the textbook's scope and the mathematical concepts it covers.

Detailed Overview of Maharashtra Board 10th Maths Part-2 Chapters

The Maths Part-2 (गणित भाग - २) textbook for Class 10 under the Maharashtra Board typically contains the following chapters. These chapters are sequential and build upon concepts learned in earlier grades and in Maths Part-1.

Chapter 1: Similarity

This chapter revisits and deepens the understanding of similar figures. It covers the tests for similarity of triangles (AAA, SAS, SSS) and their applications. The chapter extensively deals with theorems related to the areas of similar triangles and the Basic Proportionality Theorem (Thales theorem) and its converse. Students learn to prove various geometric relationships using similarity.

Chapter 2: Pythagoras Theorem

Dedicated to one of the most fundamental theorems in mathematics, this chapter goes beyond stating the theorem. It focuses on proving the Pythagoras theorem using similarity of triangles and applying it to solve complex geometric problems. The converse of the theorem is also proved and applied to determine if a triangle is right-angled.

Chapter 3: Circle

A comprehensive chapter on circle geometry. Key topics include properties of chords, arcs, inscribed angles, cyclic quadrilaterals, and tangents. Important theorems such as the perpendicular from the centre to a chord bisects the chord, angles subtended by an arc, and the tangent-segment theorem are proved and practiced. This chapter forms a core part of geometry in Class 10.

Chapter 4: Geometric Constructions

This chapter is practical and skill-based. Students learn to construct various geometric figures using a compass and ruler, based on given conditions. Constructions include similar triangles, division of a line segment in a given ratio, tangents to a circle, and constructing a circumcircle and incircle for a given triangle.

Chapter 5: Co-ordinate Geometry

Introducing the link between algebra and geometry, this chapter covers the distance formula, section formula (internal and external division), and the midpoint formula. Students learn to find the coordinates of a point, the area of a triangle using coordinates, and apply the condition for collinearity of three points.

Chapter 6: Trigonometry

Building on the introductory trigonometry from earlier classes, this chapter covers trigonometric ratios of complementary angles (like sin(90-θ) = cos θ). It introduces trigonometric identities such as sin²θ + cos²θ = 1, sec²θ = 1 + tan²θ, and cosec²θ = 1 + cot²θ. Problems involve proving identities and solving equations using these identities.

Chapter 7: Mensuration

This chapter deals with calculating surface areas and volumes of combined solid figures. It covers problems involving combinations of shapes like a cone on a cylinder, a hemisphere on a cube, etc. Formulas for volume and surface area of frustum of a cone are also introduced and applied.

Structure and Learning Aids in the Maths Part-2 Book

The Balbharati Maths Part-2 textbook is designed with a clear pedagogical structure to facilitate learning.

Chapter Layout

• Introduction: Each chapter begins with a brief introduction connecting the topic to prior knowledge or real-world use.
• Solved Examples: Multiple solved examples are provided step-by-step to demonstrate the application of concepts and theorems.
• Practice Set: Each subtopic is followed by a 'Practice Set' containing problems for immediate practice.
• Problem Set: At the end of each chapter, a comprehensive 'Problem Set' includes a mix of simple, challenging, and theoretical questions for revision and self-assessment.
• Diagrams and Illustrations: Geometric chapters are rich with accurately drawn figures to help visualize theorems and problems.

Expected Learning Outcomes

After completing the Maharashtra Board 10th Maths Part-2 textbook, a student is expected to:

• Prove standard geometric theorems with logical reasoning.
• Solve problems using the principles of similarity and Pythagoras theorem.
• Apply coordinate geometry formulas to find distances, midpoints, and areas.
• Use trigonometric identities to simplify expressions and solve problems.
• Calculate surface areas and volumes of complex solid objects.
• Perform standard geometric constructions accurately.

Importance in the Maharashtra Board SSC Examination

The Maths Part-2 (गणित भाग - २) textbook carries significant weightage in the final Class 10 board exam. Geometry (Chapters 1, 2, 3) and Trigonometry (Chapter 6) often contribute to a large portion of the marks in the question paper. Questions range from 1-mark MCQs and very short answers to 3- and 4-mark problems requiring proofs and multi-step calculations. A thorough understanding of this textbook is crucial for scoring well in the mathematics paper.

The textbook is not just an exam tool; it lays the essential groundwork for higher-level mathematics in classes 11 and 12, especially for students opting for the Science stream. Concepts of coordinate geometry, trigonometry, and mensuration are directly expanded upon in senior secondary education.