1. Rational Numbers

 Content: This chapter introduces rational numbers, their properties, and operations like addition, subtraction, multiplication, and division on rational numbers.

 Objective: Understand the concept of rational numbers and apply operations on them using mathematical properties.

 2. Linear Equations in One Variable

 Content: This chapter covers solving linear equations with one variable, including equations involving fractions and word problems.

 Objective: Learn to form and solve linear equations and apply these concepts to reallife problems.

 3. Understanding Quadrilaterals

 Content: Discusses the properties of quadrilaterals, types of quadrilaterals like parallelograms, trapeziums, and their angle properties.

 Objective: Understand the different types of quadrilaterals and their properties, and solve related geometric problems.

 4. Practical Geometry

 Content: Covers the construction of quadrilaterals given various parameters like sides, angles, and diagonals.

 Objective: Learn to construct quadrilaterals using geometric tools and apply the properties of different shapes.

 5. Data Handling

 Content: Explains how to organize, represent, and interpret data using bar graphs, pie charts, and histograms, and also introduces probability.

 Objective: Develop skills to handle, organize, and interpret data using different visual representations and understand basic probability.

 6. Squares and Square Roots

 Content: Focuses on finding squares, square roots, and solving problems involving perfect squares, along with the use of estimation and factorization methods.

 Objective: Understand and calculate squares and square roots using different methods.

 7. Cubes and Cube Roots

 Content: This chapter explains cubes, cube roots, and how to find them through factorization and estimation.

 Objective: Learn to find cube and cube roots of numbers and apply them in various contexts.

 8. Comparing Quantities

 Content: Discusses ratio and proportion, percentages, profit and loss, discounts, and compound interest.

 Objective: Learn to compare quantities, calculate profit/loss, and solve problems involving percentages and interest.

 9. Algebraic Expressions and Identities

 Content: Covers the basics of algebraic expressions, terms, factors, coefficients, and the standard algebraic identities used for simplification.

 Objective: Understand how to simplify algebraic expressions and use identities to solve problems efficiently.

 10. Visualising Solid Shapes

 Content: This chapter introduces 3D shapes, their views, and how to visualize solid shapes from different perspectives.

 Objective: Develop the ability to visualize and interpret different 3D shapes and their cross sectional views.

 11. Mensuration

 Content: Covers the calculation of the surface area and volume of solid shapes like cubes, cuboids, cylinders, and spheres.

 Objective: Learn to calculate the surface area and volume of various geometric solids using appropriate formulas.

 12. Exponents and Powers

 Content: Introduces exponents, powers, and their properties, including how to simplify expressions involving large numbers using exponents.

 Objective: Understand the rules of exponents and apply them in simplifying expressions.

 13. Direct and Inverse Proportions

 Content: Explains the concept of direct and inverse proportions, with practical examples and problems.

 Objective: Learn to identify and solve problems involving direct and inverse proportionality in various situations.

 14. Factorisation

 Content: Focuses on factorizing algebraic expressions using methods like common factors, grouping, and the use of identities.

 Objective: Develop skills to factorize algebraic expressions and simplify them effectively.

 15. Introduction to Graphs

 Content: Introduces different types of graphs like bar graphs, histograms, line graphs, and the Cartesian plane.

 Objective: Learn to plot and interpret graphs and understand the relationship between variables using graphical representation.

 16. Playing with Numbers

 Content: Focuses on puzzles and divisibility rules for numbers, along with number tricks and patterns.

 Objective: Sharpen problem solving skills through number patterns, tricks, and understanding divisibility rules.