1. Sets
Content: Introduction to sets, types of sets (finite, infinite,
universal, null), operations on sets (union, intersection, difference), and
Venn diagrams.
Objective: To understand the concept of sets and their applications
in various mathematical contexts.
2. Real Numbers
Content: Properties of real numbers, rational and irrational
numbers, representation of real numbers on the number line, and operations on
real numbers.
Objective: To familiarize students with the structure of real
numbers and their significance in mathematics.
3. Polynomials
Content: Definition of polynomials, types of polynomials
(monomials, binomials, trinomials), degree of a polynomial, addition,
subtraction, and multiplication of polynomials.
Objective: To develop skills in manipulating polynomials and
understanding their properties.
4. Ratio and Proportion
Content: Concepts of ratio, proportion, and their applications in
reallife situations, solving problems based on direct and inverse proportions.
Objective: To enable students to apply the concepts of ratio and
proportion to solve practical problems.
5. Linear Equations in Two Variables
Content: Introduction to linear equations, graphical
representation, methods of solving linear equations (substitution,
elimination).
Objective: To teach students how to represent and solve linear
equations graphically and algebraically.
6. Financial Planning
Content: Basics of financial literacy, budgeting, saving,
understanding interest (simple and compound), and financial decision making.
Objective: To equip students with essential financial skills for
personal finance management.
7. Statistics
Content: Collection, organization, and representation of data,
measures of central tendency (mean, median, mode), and interpretation of
statistical data.
Objective: To develop analytical skills in interpreting and
presenting data.
8. Basic Concepts in Geometry
Content: Introduction to basic geometric concepts, points, lines,
planes, angles, and the relationships between them.
Objective: To build foundational knowledge of geometry for further
study in the subject.
9. Parallel Lines
Content: Properties of parallel lines, angles formed when a
transversal intersects parallel lines, and theorems related to parallel lines.
Objective: To understand the properties and significance of
parallel lines in geometry.
10. Triangles
Content: Types of triangles, properties, congruence of triangles,
and the criteria for triangle congruence (SSS, SAS, ASA, AAS).
Objective: To develop an understanding of the properties of
triangles and their applications in problem solving.
11. Constructions of Triangles
Content: Geometric constructions of triangles using a compass and
straightedge, understanding the importance of precision in constructions.
Objective: To enhance practical skills in geometry through
construction techniques.
12. Quadrilaterals
Content: Properties and types of quadrilaterals, the sum of
interior angles, and the concept of parallelograms, rectangles, squares, and
rhombuses.
Objective: To explore the characteristics of quadrilaterals and
their applications.
13. Circle
Content: Basic concepts related to circles, radius, diameter,
circumference, arcs, chords, and tangents.
Objective: To understand the properties of circles and how they
relate to other geometric figures.
14. Coordinate Geometry
Content: Introduction to the Cartesian plane, plotting points,
distance formula, and the concept of slope.
Objective: To establish a connection between algebra and geometry
through coordinate systems.
15. Trigonometry
Content: Introduction to trigonometric ratios, right angled
triangles, and the basic trigonometric functions (sine, cosine, tangent).
Objective: To develop a foundational understanding of trigonometry
and its applications.
16. Surface Area and Volume
Content: Calculation of surface areas and volumes of various 3D
shapes such as cubes, cuboids, cylinders, cones, and spheres.
Objective: To enhance problem solving skills related to realworld
applications of surface area and volume.