1. Rational Numbers
Content: Introduces the concept of
rational numbers, their properties, and operations like addition, subtraction,
multiplication, and division.
Objective: To develop an understanding
of rational numbers and how to perform arithmetic operations on them.
2. Exponents and
Powers
Content: Covers the laws of exponents,
the use of powers in simplifying expressions, and solving problems involving
large numbers.
Objective: To simplify expressions
using exponents and understand their applications in real life scenarios.
3. Square and Square
Roots
Content: Explains the concept of
squares and square roots, their properties, and methods to find square roots
through prime factorization and long division.
Objective: To gain proficiency in
calculating squares and square roots and apply them in problem solving.
4. Cube and Cube
Roots
Content: Discusses cubes and cube roots
and methods to find cube roots using prime factorization.
Objective: To learn the calculation of
cubes and cube roots and apply these concepts in different mathematical
contexts.
5. Algebraic
Expressions
Content: Focuses on forming and
simplifying algebraic expressions, understanding terms, factors, and coefficients.
Objective: To master the skills of
simplifying and evaluating algebraic expressions.
6. Linear Equations
in One Variable
Content: Introduces the concept of
linear equations and their solution using various methods such as transposition
and balancing.
Objective: To solve linear equations
efficiently and apply them to real life problems.
7. Ratio and
Proportion
Content: Discusses the concepts of
ratio and proportion, their applications in comparisons, and solving real life
problems involving proportions.
Objective: To use ratio and proportion
for solving practical problems in various situations.
8. Percentage
Content: Teaches the calculation of
percentages and how to convert fractions and decimals into percentages.
Objective: To understand and calculate
percentages in various real life scenarios such as discounts, interest rates,
and population data.
9. Profit, Loss, and
Discount
Content: Focuses on calculating profit,
loss, and discount in different types of transactions and interpreting them in
terms of percentage.
Objective: To apply the concepts of
profit, loss, and discount in commercial mathematics and day today
transactions.
10. Compound Interest
Content: Explains the concept of
compound interest and how it differs from simple interest, along with the
formula to calculate compound interest.
Objective: To calculate compound
interest and understand its real world applications in banking and finance.
11. Direct and
Inverse Proportions
Content: Discusses direct and inverse
proportions and how to identify and solve problems involving these
relationships.
Objective: To solve problems using the
concepts of direct and inverse proportions.
12. Time and Work
Content: Covers methods to solve time
and work problems using ratios and proportions, including problems involving
multiple people or machines working together.
Objective: To apply mathematical
reasoning to time and work problems, improving efficiency in problem solving.
13. Understanding Shapes
I (Congruence of Triangles)
Content: Explores the properties of
congruent triangles and different criteria (SSS, SAS, ASA) for triangle
congruence.
Objective: To understand and apply the
conditions of congruence in triangles for geometrical reasoning.
14. Understanding Shapes
II (Quadrilaterals)
Content: Introduces different types of
quadrilaterals, their properties, and methods to solve problems involving
quadrilaterals.
Objective: To recognize and classify
quadrilaterals based on their properties and solve related geometrical
problems.
15. Mensuration
Content: Focuses on finding the area,
perimeter, and volume of different shapes like triangles, quadrilaterals, and
solid figures (cubes, cuboids, etc.).
Objective: To calculate the surface
area and volume of various shapes and apply these concepts in real world
scenarios.
