| Classwise Concept with Examples | ||||||
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| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 8 Mathematics: Concepts and Examples
Chapter 1 Rational Numbers
This chapter introduces rational numbers, which are numbers that can be written as the ratio of two integers. It covers operations like addition, subtraction, multiplication, and division of rational numbers and helps students understand the properties of rational numbers.
Chapter 2 Linear Equations in One Variable
Students learn how to solve linear equations with one variable. The chapter focuses on understanding the steps involved in solving equations and using them to model real-life situations.
Chapter 3 Understanding Quadrilaterals
This chapter explores different types of quadrilaterals, such as squares, rectangles, parallelograms, rhombuses, and trapeziums. Students learn about the properties of these shapes, such as angles, sides, and diagonals.
Chapter 4 Practical Geometry
Students learn how to construct geometric shapes using a compass, ruler, and protractor. The chapter includes constructions such as bisectors, perpendiculars, and angles, laying the foundation for more advanced geometry.
Chapter 5 Data Handling
This chapter introduces data collection and representation using bar graphs, histograms, and pie charts. Students learn how to interpret data and calculate measures like mean, median, and mode.
Chapter 6 Squares and Square Roots
The concept of square numbers and square roots is introduced. Students learn how to find square roots of perfect squares and estimate square roots of non-perfect squares.
Chapter 7 Cubes and Cube Roots
In this chapter, students learn about cube numbers and cube roots. They understand the properties of cubes and how to find cube roots of perfect cubes.
Chapter 8 Comparing Quantities
This chapter covers the concept of ratios and percentages. Students learn how to solve problems related to profit and loss, simple interest, and percentage increase/decrease.
Chapter 9 Algebraic Expressions and Identities
Students learn to simplify algebraic expressions, use variables, and apply basic algebraic identities. The chapter also introduces the expansion of binomials and the factorization of algebraic expressions.
Chapter 10 Visualising Solid Shapes
This chapter helps students visualize and understand 3D shapes, such as cubes, cuboids, cones, and spheres. Students learn to calculate the surface area and volume of these shapes.
Chapter 11 Mensuration
Students learn the formulas for calculating the perimeter, area, and volume of various 2D and 3D shapes. This chapter includes calculations for circles, triangles, and other polygons.
Chapter 12 Exponents and Powers
This chapter covers the rules and properties of exponents and powers. Students learn to simplify expressions involving exponents and understand the laws of exponents.
Chapter 13 Direct and Inverse Proportions
Students explore the concepts of direct and inverse proportions, where quantities change in proportion to each other. The chapter includes real-life applications and problem-solving techniques for direct and inverse variation.
Chapter 14 Factorisation
Factorisation involves breaking down algebraic expressions into their factors. In this chapter, students learn how to factorise quadratic expressions and use factorization in solving equations.
Chapter 15 Introduction to Graphs
This chapter introduces graphing, including plotting points on a coordinate plane. Students learn to graph linear equations and interpret various types of graphs, such as bar and line graphs.
Chapter 16 Playing with Numbers
The final chapter of Class 8 Mathematics revisits various number properties, including divisibility rules, prime numbers, and factors. It challenges students with puzzles and problems related to numbers.