Syllabus

Subject : Mathematics
Class : 7

• Understanding rational numbers as numbers that can be expressed as a fraction of two integers.
• Representing rational numbers on a number line.
• Performing operations (addition, subtraction, multiplication, division) with rational numbers.
• Solving problems involving rational numbers in real-life contexts.

• Introducing exponents as shorthand notation for repeated multiplication.
• Understanding the laws of exponents (e.g., product of powers, power of a power).
• Performing operations (multiplication, division) with powers.
• Solving problems involving exponents and powers.

• Understanding algebraic expressions as mathematical phrases that include variables, constants, and operations.
• Evaluating algebraic expressions for given values of variables.
• Simplifying algebraic expressions using properties and identities.
• Identifying and applying algebraic identities (e.g., (a + b)^2 = a^2 + 2ab + b^2).

• Introducing linear equations with one variable.
• Solving linear equations using the properties of equality.
• Applying equation-solving techniques to real-life problems.

• Understanding the concept of congruence and congruent figures.
• Identifying and applying congruence criteria for triangles (e.g., SSS, SAS, ASA).
• Solving problems involving congruent triangles.

• Introducing concepts of profit and loss in business transactions.
• Understanding simple interest as a percentage of a principal amount.
• Calculating profit, loss, and simple interest in real-life scenarios.

• Calculating the perimeter (total length of sides) and area (space enclosed) of two-dimensional shapes (e.g., rectangles, squares, triangles).
• Solving problems involving perimeter and area of plane figures.

• Identifying and naming three-dimensional shapes (e.g., cubes, cuboids, cylinders, cones, spheres).
• Understanding properties of solid shapes and their nets (2D representations).