| Classwise Concept with Examples | ||||||
|---|---|---|---|---|---|---|
| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 6 Mathematics: Concepts and Examples
Chapter 1 Knowing Our Numbers
This chapter introduces students to large numbers, their place value, and how to read and write large numbers. It also covers the basic concepts of number systems, helping students understand how numbers are structured and represented.
Chapter 2 Whole Numbers
The concept of whole numbers is introduced, emphasizing that they include all natural numbers and zero. Operations on whole numbers, such as addition, subtraction, multiplication, and division, are covered, along with properties like closure, commutative, and associative properties.
Chapter 3 Playing With Numbers
This chapter deals with various types of numbers and their properties. It includes concepts like factors, multiples, prime numbers, composite numbers, and divisibility rules, which are foundational for understanding number theory.
Chapter 4 Basic Geometrical Ideas
Students learn about basic geometric shapes and figures, such as points, lines, line segments, angles, and planes. This chapter sets the foundation for further studies in geometry.
Chapter 5 Understanding Elementary Shapes
This chapter explores the properties of various geometric shapes such as triangles, quadrilaterals, and circles. It covers the classification of triangles based on sides and angles, and the properties of different types of quadrilaterals.
Chapter 6 Integers
Integers are introduced, including both positive and negative numbers. Students learn about integer addition, subtraction, multiplication, and division, and how these operations work with positive and negative values.
Chapter 7 Fractions
Fractions are explained as parts of a whole. The chapter covers the types of fractions, their simplification, addition, subtraction, multiplication, and division. It also includes visual representations of fractions for better understanding.
Chapter 8 Decimals
Decimals are introduced as another way to represent parts of a whole. The chapter covers decimal notation, place value, and operations involving decimals, such as addition, subtraction, and multiplication.
Chapter 9 Data Handling
This chapter introduces the basics of collecting, organizing, and interpreting data. Students learn to represent data using bar graphs, pictographs, and tables, and understand how to calculate averages and make inferences from data.
Chapter 10 Mensuration
The study of measurement is covered in this chapter, focusing on calculating the perimeter, area, and volume of various shapes, such as squares, rectangles, triangles, and circles. Basic formulas for these calculations are introduced.
Chapter 11 Algebra
This chapter introduces algebraic expressions and simple equations. Students learn to solve basic linear equations, work with variables, and understand the concept of an algebraic identity.
Chapter 12 Ratio and Proportion
Students learn the concepts of ratios and proportions, and how to solve problems involving them. The chapter explains how to compare quantities using ratios and solve real-life problems related to proportion.
Chapter 13 Symmetry
Symmetry in shapes and figures is explored in this chapter. Students learn about lines of symmetry in different shapes, and how to recognize symmetrical objects and patterns.
Chapter 14 Practical Geometry
This chapter focuses on constructing basic geometric figures using a compass, ruler, and protractor. Students learn how to draw perpendiculars, bisectors, and simple polygons, as well as the properties of these constructions.