After all these years, you are finally in Class 10. The knell of the board exams rings nearer as every moment passes by. There are too many topics to cover each subject. You are probably thinking, ‘Can I complete everything?’ Don’t worry so much. Develop a plan for each subject and try to stick to it. Mathematics can seem like a tough place, to begin with. Most students do not have a good relationship with numbers.
To understand the right approach to solving these problems, you can download the PDF of solutions for class 10th NCERT maths book. Also, detailed solutions and explanations are provided in the Aakash itutor app.
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But the Class 10 Mathematics syllabus is enormous, and so, you might be already cowering with fear. But fret not, we have explained all the concepts properly in our tutorials. Here is a chapter-wise summary of what you will face in the class 10th NCERT maths book to make it easier for you to devise your subject-wise plans:
You have learned Real Numbers in Class 9 before. In this chapter, you will enter into more details like the properties of positive integers, Euclid’s algorithm, the fundamental theorem of algorithm and also revisit Rational numbers. In the class 10th NCERT maths book, this is one of the most complex chapters.
In this chapter, you will be dealing with solving polynomials and verifying the relationship between the coefficient and the zeroes. Plus, you will also have to engage with quadratic polynomials.
This chapter will first make you revise your Class 9 concepts on Linear Equations. Then, it will cover more advanced topics like Algebraic Methods of Solving a Pair of Linear Equations, Substitution Method, Cross Multiplication Method, graphical representations, and many more.
In Chapter 4, you will learn about quadratic equations and the different ways that you can find their roots. The chapter teaches you to solve quadratic equations by completing the square, factorization method and the nature of roots.
In Arithmetic Progressions, you will encounter real-world problems and try to solve them using arithmetic principles. You will learn how to find the sum of n consecutive terms and also find the nth terms.
In Chapter 6, you will learn the different properties of triangles and how they are classified based on these properties. You will be acquainted with nine important theorems which are essential for not only the board exam but for competitive exams in the future.
In Coordinate Geometry, you will be required to find the distance between two points whose coordinates will be provided to you. This chapter is an essential link between algebra and geometry. By linking the two, this chapter helps students to solve many geometric problems easily. This chapter is one of the most important chapters in the class 10th NCERT maths book.
Chapter 8 is an essential chapter for both board examinations as well as competitive examinations. It introduces you to concepts like trigonometric ratios and trigonometric identities. You will also be taught Trigonometric ratios of specific angles and of complementary angles.
Once you are acquainted with the basics of trigonometry after going through Chapter 8, you will have to apply the knowledge in some real-world problems in this chapter.
In Chapter 10, you will learn the basics regarding the shape of a Circle. Chapter 10 introduces you to various concepts of a circle like secants, tangents, number tangents from a point of a circle and many more.
For constructions, you are only allowed to use a ruler and a compass. In this chapter, you will be taught how to construct perpendicular bisectors, angle bisectors, and also, different triangles with a given angle.
In previous classes, you had to solve problems to find areas of rectangles, squares, parallelograms, and other such shapes. In this chapter, you will have to solve problems of areas related to the circular shape. You will also encounter problems where you need to find the areas of combinations of plane figures.
In the previous classes, you have dealt with many 2-dimensional figures like triangles, squares, and rectangles. In Chapter 13 of NCERT book 10th Class Math, you will start dealing with 3-dimensional objects in depth. You will come across basic solids like Sphere, Cube, Cuboid and Cylinder and have to find their areas and volumes.
In the last chapter of NCERT book of Maths of Class 10, you will face questions where you need to find the mean, median and mode from ungrouped or grouped data. Plus, you will have to solve problems related to cumulative frequency distribution topics. Normally, students find it a bit hard to understand this chapter. However, it is quite easy if you study from the tutorials provided by us.
Probability deals with finding a number of favourable times a random event could occur. This chapter helps you to estimate the likelihood of an event to take place. Problems will be mostly related to coins, dice and cards where you will have to find favourable number of outcomes in a given scenario (event).
It’s no doubt that the NCERT books offers a wide range of topics for you. But there’s no need to fear. Just make a plan and give your best in your exams. Best of luck. If you need help with understanding these topics, you must go through the video courses provided by us. Be sure to ace all the concepts in the class 10th NCERT maths book as it is important to build a solid foundation.