Class 6 is a stage in student’s life that starts them pulling slowly out of their comfort zone. Till previous year they kind of enjoy the school life without much burden to study but class 6 gives them some tough time. From class 6, usually, the syllabus starts widening and most students find it difficult to compromise their play time for study.
R D Sharma Solutions for Class 6 will give students some relief because of its simple and flowing structure. The students can better understand the answers and can improve their performance in exams. Since R D Sharma deals in only maths, the students can get additional study material.
Chapter wise summary
Chapter 1 – Knowing Your Numbers
From this chapter, the students can learn introduction to numbers, comparing numbers, shifting digits, introducing 10000, revisiting place value, introducing 100000, larger numbers, reading & writing large numbers, use of commas, large numbers in practice, estimating the nearest hundreds by rounding off, estimating to the nearest thousands by rounding off, estimating outcomes of number situations, to estimate sum or difference, to estimate products, using brackets, expanding brackets, and Roman numerals.
Chapter 2 – Playing with Numbers
The students can learn the types of numbers from this chapter. There are different types of numbers viz prime, even, odd, whole, natural, and composite numbers. the chapter also details factors, properties of factors, perfect numbers, multiples, properties of multiples, prime numbers, composite numbers, divisibility tests, and common factors.
Chapter 3 – Whole Numbers
From this chapter, the students will learn about the whole numbers. The numbers 1, 2, 3, 4, etc are called natural numbers. a number obtained by subtracting 1 from a given number is called predecessor and the number obtained by adding 1 to a given number is called successor. The chapter describes the number line, adding on a number line, subtracting on the number line, closure property of a whole number, commutative property of a whole number, associative property of a whole number, and distributivity of multiplication over addition. Additive identity and multiplicative identity.
Chapter 4 – Operations on Whole Numbers
Whole numbers are very important even in our daily life to get the correct count of things used by us. If we purchase some things we count them and assure we are paying for the demanded number of materials. This chapter will enable the students to know the concept of operations of whole numbers.
Chapter 5 – Negative Numbers and Integers
The collection of all the whole numbers and their negatives are called integers. The integers do not include fractions or decimals. The positive whole numbers are called positive integers and the negative whole numbers are called negative integers. We use the negative numbers while measuring the temperatures at chilly cold places, for indicating the water level or elevation of a place with respect to the main sea level, and to show outstanding amounts, etc.
Chapter 6 – Fractions
In this chapter, the students will learn that a fraction is a number that represents a part of something larger, a single object or a group of objects might make up the whole, and all parts are equal when one states a circumstance of counting components to write a fraction, the fraction is indicated with the help of a denominator and a numerator. The students will also learn that a number line can be used to indicate fractions, and every fraction is connected through a number line point.
Chapter 7 – Decimals
Decimal is a mathematical notation to represent the fractions whose denominator is 10 or the power of 10. The students will learn topics like hundredth parts, representing decimals on a number line, fractions as decimals, decimals as fractions, place value of decimals, comparing decimals, using decimals, the addition of numbers with decimals, and subtraction of numbers with decimals.
Chapter 8 – Introduction to Algebra
Algebra is a general form of arithmetic where the numbers are represented by letters that are joined according to arithmetic rules. The students will learn how to express the general relationship between the numbers of matchsticks necessary to repeat a certain shape. The amount of times a particular shape is repeated varies. A variable value is not fixed and can change over time. The students can learn algebra in an elaborated way.
Chapter 9 – Ratio, Proportion, and Unitary Method
From this chapter, the students can learn about the ratio, proportion, and unitary methods. Students will learn that a ratio is a relationship between two numbers indicating how many times the first number contains the second. The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, or lengths. A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. The unitary method means if we know the cost or other parameter of one thing, then to know the cost of many things we do multiplication.
Chapter 10 – Basic Geometrical Concepts
Geometry is the study of shapes and is one of the oldest branches of mathematics. Geo means earth and metry means measurement, thus it is derived from the Greek word. In the field of geometry Euclid, Pythagoras, Plato, and Archimedes did a lot of work to put forward different theorems. In this chapter, the students will learn the basic concepts of geometry like point, line, ray, and a line segment. The chapter also describes the concept of shapes like angles, triangles, circles, etc.
Chapter 11 – Angles
From this chapter, the students will learn about the existence of a number of angles in geometry. They can learn the types of angles, their theorem, angles of a triangle, and angles of intersection of lines. The students will understand that an angle is made up of two rays starting from a common endpoint. These rays are called arms or sides of the angle. The angle leads to three divisions of a region; on the angle, in the interior of the angle, and the exterior of the angle.
Chapter 12 – Triangles
In this chapter, the students will learn about the properties and construction of triangles. The students will know the types of the triangles, and the types of their construction criteria (SSS, SAS, and ASA). The chapter will also teach students about the characteristics of different types of triangles.
Chapter 13 – Quadrilaterals
A quadrilateral is a closed shape and type of polygon with four sides, four vertices, and four angles. From this chapter, the students will learn about types of quadrilaterals, convex, concave, and intersecting quadrilaterals, properties of quadrilaterals, sides & angles of quadrilaterals, quadrilateral formulas, and important facts about quadrilaterals.
Chapter 14 – Circles
In this chapter, the students will learn the fixed point centre, the fixed distance radius, circumference, a chord, the diameter, area of a circle, segment of a circle, sector of the circle, and properties of a circle.
Chapter 15 – Pair of Lines and Transversal
From this chapter, the students will know about the steps used in the construction of parallel lines and to find the distance between them. The concept of transversal angles made by them and the relation between the angles is well explained. Parallel lines lie in the same plane and never intersect.
Chapter 16 – Understanding Three Dimensional Shapes
The students will learn that the shapes which can be measured in 3 directions are called three-directional shapes. These are solid shapes having length, width, and height that are measurable. Examples of three-dimensional shapes are sphere, cuboid, cone, cylinder, and cube. The three-dimensional shapes will have faces, edges, and vertices.
Chapter 17 – Symmetry
The student will understand the concept of symmetry in this chapter. A figure will have line symmetry if there is a line that separates its two sides in identical shapes if folded along it. Such a line is called the line of symmetry. All regular polygons have equal angles and equal sides. Each regular polygon with ‘n’ sides will have ‘n’ lines of symmetry. Mirror reflection is the best example of symmetry.
Chapter 18 – Basic Geometrical Tools
This chapter will help students to know about the tools that are important for the construction of geometrical shapes. Some tools are well-explained in the chapter like dividers, compasses, protractors, rules, and set-squares. The tools are mainly used for the construction of line segments with different angles and lengths.
Chapter 19 – Geometrical Constructions
Geometry has theoretical as well as practical sections. While learning geometry you learn about different shapes and also you need to draw them practically. This chapter explains the step-by-step construction of the given figure. It teaches technical aspects to the students which will help them during higher studies.
Chapter 20 – Mensuration
Mensuration is the study of various geometrical shapes, their lengths, volume, breadth, and area for 2D and 3D shapes. The students will learn perimeter, the perimeter of a triangle, perimeter of a rectangle, perimeter of ‘n’ sided polygon, the perimeter of irregular shapes, and areas of different shapes.
Chapter 21 – Data Handling
Data is the collection of numbers for a purpose and data handling is an organization of data systematically to establish proof. Technically, every statement will need data handling to prove that how it is the right statement. The students will learn different ways of data handling, bar graphs, pictographs, and Pie charts.
Importance of Mathematics
Mathematics has always been an important subject at all levels of schooling. Science and Maths are two very important and scoring subjects that can set the path for many aspirant students. Maths helps students to set their future path either in engineering or medical field. Maths and Science are two subjects which are counted as prime subjects for the entry into these two fields. R D Sharma Solutions for Class 6 students can improve their score card to a much better position.
Class 6 is a very basic level for students and an ideal situation for them to strengthen their basic knowledge. Class 6 is a perfect opportunity to make an impression to build a future career. Study material like R D Sharma Solutions for Class 6 will help the students to have a good study and better understanding because of the flowing and easy language. The solutions are designed by expert professionals and it covers all the chapters in the syllabus.
Why to refer R D Sharma’s solutions?
R D Sharma Solutions for Class 6 consists of Maths as they deal only in Maths. The study material is easy for the students to understand.
Is the class 6 Maths syllabus tough?
Any syllabus will not be tough as it is designed based on the capacity of an average student.
Can I get high marks by studying R D Sharma solutions?
With a proper study of solutions along with textbooks will help the students to get good marks in the exams.
How many chapters do students need to study in class 6 Maths?
There are a total of 21 chapters students need to study in class 6 Maths.
Can students understand the answers from solutions?
The answers are arranged in the solutions in such a manner that the students will easily understand the answers.
What are the opportunities after Maths graduation?
Maths graduates can get jobs in various sectors of the offices, corporates, and financial sectors including government.