1. Geometrical Constructions 

    Content: This chapter covers the basics of constructing geometrical shapes using a compass and a ruler. It includes tasks such as drawing angles, perpendicular lines, bisectors, and various polygons.

    Objective: To develop skills in creating accurate geometric shapes and understanding basic geometrical principles through hands on construction.

2. Multiplication and Division of Integers 

    Content: This chapter focuses on the rules and methods for multiplying and dividing positive and negative integers. It includes properties, operations, and solving problems involving integers.

    Objective: To master the operations of multiplication and division with integers and apply these skills to solve problems involving positive and negative numbers.

3. HCF and LCM 

    Content: The chapter explains the concepts of Highest Common Factor (HCF) and Least Common Multiple (LCM). It includes methods for finding HCF and LCM of numbers using various techniques.

    Objective: To understand and calculate HCF and LCM, and to use these concepts to solve problems involving divisibility and common multiples.

4. Angles and Pairs of Angles 

    Content: This chapter deals with different types of angles (acute, obtuse, right) and pairs of angles (complementary, supplementary, vertical, and adjacent angles). It includes their properties and relationships.

    Objective: To recognize and calculate different types of angles and understand the relationships between various angle pairs in geometric figures.

5. Operations on Rational Numbers 

    Content: Focuses on performing arithmetic operations (addition, subtraction, multiplication, and division) with rational numbers (fractions). It includes simplifying expressions and solving problems with rational numbers.

    Objective: To perform operations with rational numbers accurately and solve problems involving fractions and mixed numbers.

6. Indices 

    Content: Introduces the concept of indices (exponents) and their properties. It includes rules for multiplying and dividing numbers with the same base, and solving problems involving powers.

    Objective: To understand and apply the rules of indices to simplify expressions and solve problems involving powers and exponents.

7. Joint Bar Graph 

    Content: This chapter explains how to represent data using joint bar graphs, which combine two sets of data in a single graph for comparison. It includes interpreting and constructing joint bar graphs.

    Objective: To learn how to create and interpret joint bar graphs, enabling effective data comparison and analysis.

8. Algebraic Expressions and Operations on them 

    Content: Covers the basics of algebraic expressions, including terms, coefficients, and constants. It also includes operations such as addition, subtraction, multiplication, and simplification of algebraic expressions.

    Objective: To understand and perform operations on algebraic expressions, and to simplify and solve problems involving these expressions.

9. Direct Proportion and Inverse Proportion 

    Content: This chapter explores the concepts of direct proportion (where two variables increase or decrease together) and inverse proportion (where one variable increases as the other decreases). It includes solving problems involving these proportions.

    Objective: To grasp the concepts of direct and inverse proportions and apply these concepts to solve real life problems involving proportional relationships.

10. Banks and Simple Interest 

     Content: Introduces the concept of simple interest, including how it is calculated using the formula \( I = P \times R \times T \) (where \( I \) is the interest, \( P \) is the principal, \( R \) is the rate, and \( T \) is the time). It also covers basic banking concepts related to interest.

     Objective: To understand and calculate simple interest, and to apply these calculations to practical banking scenarios.

11. Circle 

     Content: This chapter focuses on the properties and components of circles, including radius, diameter, circumference, and area. It covers the formulas for calculating these properties and solving related problems.

     Objective: To understand the properties of circles and use formulas to calculate various measurements related to circles.

12. Perimeter and Area 

     Content: Covers the concepts of perimeter and area for various geometric shapes, including squares, rectangles, triangles, and circles. It includes the formulas and methods for calculating these measurements.

     Objective: To calculate the perimeter and area of different shapes and apply these calculations to solve geometric problems.

13. Pythagoras' Theorem 

     Content: Introduces the Pythagorean Theorem, which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It includes solving problems using this theorem.

     Objective: To understand and apply the Pythagorean Theorem to find missing lengths in right angled triangles and solve related problems.

14. Algebraic Formulae  Expansion of Squares 

     Content: Focuses on the expansion of algebraic squares using formulas such as \( (a + b)^2 = a^2 + 2ab + b^2 \). It includes practice with expanding and simplifying algebraic expressions.

     Objective: To learn and apply algebraic formulas for expanding squares and simplify expressions involving these formulas.

15. Statistics 

     Content: Introduces basic concepts in statistics, including mean, median, mode, and range. It includes methods for collecting, organizing, and interpreting data.

     Objective: To understand and calculate statistical measures and use these measures to analyze and interpret data effectively.