| Classwise Concept with Examples | ||||||
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| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 7 Mathematics: Concepts and Examples
Chapter 1 Integers
This chapter introduces integers, including positive and negative whole numbers. It covers addition, subtraction, multiplication, and division of integers, and emphasizes understanding the properties and operations involving positive and negative values.
Chapter 2 Fractions and Decimals
Students learn about fractions as parts of a whole, including types of fractions (proper, improper, and mixed fractions), and how to simplify and perform operations (addition, subtraction, multiplication, and division). Decimals are introduced as another form of representing parts of a whole, along with operations on decimals.
Chapter 3 Data Handling
This chapter focuses on collecting, organizing, and interpreting data. Students learn how to represent data using bar graphs, pie charts, and tables. Concepts like mean, median, mode, and range are introduced to analyze and summarize data.
Chapter 4 Simple Equations
The chapter introduces basic algebraic equations. Students learn how to solve linear equations and understand the concept of equality. It emphasizes solving simple one-variable equations using inverse operations.
Chapter 5 Lines and Angles
Students explore the basic properties of lines and angles. Topics covered include types of angles (acute, obtuse, right, etc.), pairs of angles (complementary, supplementary), and the properties of parallel lines and transversals.
Chapter 6 The Triangle and its Properties
This chapter covers different types of triangles (isosceles, equilateral, and scalene) and their properties. Students also learn about angles in a triangle and the triangle inequality theorem.
Chapter 7 Congruence of Triangles
Students learn the concept of congruence and the criteria for two triangles to be congruent. The chapter covers the criteria such as SSS, SAS, ASA, and RHS to prove the congruence of triangles.
Chapter 8 Comparing Quantities
This chapter introduces the concept of ratios, percentages, and their applications in comparing quantities. Students learn how to solve problems related to discounts, profit, loss, simple interest, and percentage increase/decrease.
Chapter 9 Rational Numbers
Rational numbers are introduced as numbers that can be expressed in the form of fractions, where both the numerator and the denominator are integers. The chapter covers operations on rational numbers and their properties.
Chapter 10 Practical Geometry
This chapter focuses on geometric constructions. Students learn how to use a compass, ruler, and protractor to draw perpendiculars, bisectors, and various geometric shapes, such as triangles and quadrilaterals.
Chapter 11 Perimeter and Area
The chapter focuses on the calculation of the perimeter and area of various geometric shapes, such as squares, rectangles, and triangles. The chapter also introduces the formulae for the area of circles.
Chapter 12 Algebraic Expressions
Students learn the basics of algebraic expressions, including terms, coefficients, and variables. The chapter covers how to simplify algebraic expressions, perform operations on them, and solve simple problems using algebraic techniques.
Chapter 13 Exponents and Powers
This chapter introduces the concept of exponents and powers. Students learn the rules for multiplying, dividing, and simplifying expressions with exponents. The chapter also covers the laws of exponents.
Chapter 14 Symmetry
The concept of symmetry is explored in this chapter. Students learn to identify symmetrical shapes and lines of symmetry. They also explore rotational symmetry and reflective symmetry in various figures.
Chapter 15 Visualising Solid Shapes
This chapter helps students visualize three-dimensional shapes such as cubes, cuboids, cones, cylinders, and spheres. Students learn about their properties and how to calculate their surface area and volume.