Maths

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NIOS 10

NIOS Class 10 Maths is a course that covers topics in mathematics such as algebra, geometry, trigonometry, and statistics and aims to provide students with a comprehensive understanding of these subjects.

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Runali Deb Roy

Last Update : 10 May 2023

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NIOS Class 10 Maths is a comprehensive course that covers a wide range of topics in mathematics, including algebra, geometry, trigonometry, and statistics. The course is designed to provide students with a thorough understanding of these concepts and to help them develop strong problem-solving and analytical skills.

The course is divided into several units, each of which covers a specific topic. These topics include:


1. Real Numbers: In this unit, students learn about the properties of real numbers, such as rational and irrational numbers, and how to perform operations with them

2. Polynomials: This unit covers the concept of polynomials, including their degree, zeros, and factorization.

3. Linear Equations in Two Variables: In this unit, students learn about the graphical representation of linear equations in two variables and how to solve them.

4. Quadratic Equations: This unit covers the concept of quadratic equations, including their nature, roots, and discriminant.

5. Arithmetic Progressions: In this unit, students learn about arithmetic progressions and how to find their nth term and sum.

6. Triangles: This unit covers the properties of triangles, including congruence, similarity, and the Pythagorean theorem

7. Coordinate Geometry: In this unit, students learn about the concept of coordinate geometry and how to find the distance between two points, the slope of a line, and the equation of a line

8. Trigonometry: This unit covers the basic trigonometric ratios and their applications.

9. Applications of Trigonometry: In this unit, students learn about the practical applications of trigonometry in solving problems related to heights and distances.

10. Statistics: This unit covers the basics of statistics, including the mean, median, mode, and standard deviation.




Comprehensive CBSE Class 10 Maths Curriculum

  • Master the fundamentals of mathematical concepts and principles.
  • Learn problem-solving skills that apply to real-life situations.
  • Develop algebraic and geometric skills.
  • Understand statistical analysis and probability.
  • Gain an appreciation for the value and importance of mathematics in everyday life.
  • Access to interactive resources and practice exercises to improve your understanding of the material.
  • Work at your own pace, with personalized guidance and support available from experienced educators.
  • Prepare for exams and other academic challenges with confidence.

Course Content

7 Lessons 45m

NIOS Class 10 Maths

NIOS Class 10 Maths covers various fundamental concepts of mathematics, including number systems, algebra, coordinate geometry, geometry, trigonometry, mensuration, statistics, and probability. Students will learn how to apply mathematical principles to solve problems, analyze data, and make predictions. The course aims to enhance the mathematical abilities of students and help them develop critical thinking skills. The curriculum includes both theoretical and practical components, and students will be required to solve problems and participate in activities to demonstrate their understanding of the concepts.

Course Description

NIOS Class 10 Maths comprises of 15 chapters covering various topics, including number systems, algebra, geometry, trigonometry, statistics, and probability. The course will have around 50-60 multiple-choice questions (MCQs) for each chapter. Students will also be required to participate in practical activities and solve numerical problems to gain a better understanding of the concepts. The course includes two exams, one theoretical and one practical, which will assess the students' knowledge and understanding of the subject. The theoretical exam will consist of 80 marks, while the practical exam will be worth 20 marks. Overall, the course aims to provide a strong foundation in mathematics to prepare students for higher-level education.

Benefits of Studying Maths

Studying Maths offers numerous benefits, some of which include:

1. Enhances problem-solving skills: Maths helps develop critical thinking and problem-solving skills that are useful in everyday life.

2. Improves logical reasoning: Studying Maths improves logical reasoning and helps students understand the relationships between different concepts.

3. Boosts career opportunities: Maths is an essential subject for many careers, including engineering, finance, and data analysis.

4. Enhances quantitative reasoning: Maths enhances quantitative reasoning skills and helps students understand complex data and statistics.

5. Increases creativity: Maths is an important tool for creativity and can be used to solve complex problems in various fields.

6. Develops analytical skills: Studying Maths helps develop analytical skills, which can be applied to various real-world situations.

7. Improves academic performance: Good performance in Maths has been linked to better overall academic performance, as it requires concentration, focus, and attention to detail.

8. Helps in decision-making: Maths provides a structured approach to decision-making, helping individuals make informed and logical decisions. 


Overall, studying Maths can have a positive impact on an individual's personal and professional development, providing a solid foundation for lifelong learning.


Benefits of Studying Maths

Course Structure

1

Unit 1: - Number System
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  1. Real Numbers
  2. Laws of exponents for real numbers
  3. Representation of terminating / non-terminating recurring decimals on the number line
  4. Existence of non-rational numbers (irrational numbers) such as ?2, ?3 and their representation on the number line
  5. Rational numbers and their decimal expansions
  6. Operations on real numbers
  7. Decimal representation of rational numbers of up to three digits
  8. Numbers in Standard Form

2

Unit 2: - Algebra
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  1. Polynomials and their zeroes
  2. Statement and simple problems on division algorithm for polynomials with real coefficients
  3. Linear Equations in two variables
  4. Quadratic Equations
  5. Arithmetic Progressions
  6. Co-ordinate Geometry
  7. Similarity and Congruence
  8. Pythagoras Theorem
  9. Constructions

3

Unit 3 :- Trigonometry
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  1. Introduction to Trigonometry
  2. Trigonometric ratios of an acute angle of a right-angled triangle
  3. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°
  4. Trigonometric ratios of complementary angles
  5. Simple problems on heights and distances

4

Unit 4 : - Geometry
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  1. Lines and Angles
  2. Triangles
  3. Quadrilaterals
  4. Circles
  5. Constructions

5

Unit 6 : - Statistics
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  1. Introduction to Statistics
  2. Mean, Median and Mode of Ungrouped Data

6

Unit 7 : - Probability
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  1. Introduction to Probability

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