1. Sets and Functions
Content: This chapter introduces the concept of sets, types of
sets, and functions, including operations on sets, Venn diagrams, and the basic
idea of functions.
Objective: Understand set theory and its applications in defining
functions, as well as learn how to represent and operate on sets using
mathematical language.
2. Algebra
Content: Covers topics such as quadratic equations, complex
numbers, sequences and series, and mathematical induction.
Objective: Develop algebraic skills to solve quadratic equations,
understand complex numbers, and work with arithmetic and geometric
progressions.
3. Permutations and Combinations
Content: Introduction to the counting principles of permutations
(arrangements) and combinations (selections).
Objective: Learn to calculate the number of ways events can occur
using permutations and combinations, which are essential for probability and
reallife applications.
4. Mathematical Reasoning
Content: Focuses on logical reasoning, mathematical statements, and
proof techniques.
Objective: Enhance critical thinking skills by learning how to
reason logically and construct mathematical proofs.
5. Statistics and Probability
Content: Introduction to data collection, organization, and
graphical representation, as well as basic concepts of probability theory.
Objective: Learn statistical methods for analyzing data and
calculating probabilities, which are vital for decision making in various
fields.
6. Introduction to Trigonometry
Content: Covers trigonometric ratios, identities, and functions,
including their applications to solve problems involving angles and lengths.
Objective: Understand the fundamental concepts of trigonometry and
how to use trigonometric ratios in solving reallife problems involving
triangles.
7. Applications of Trigonometry
Content: This chapter explores the practical applications of
trigonometry, particularly in determining heights and distances.
Objective: Apply trigonometric concepts to solve practical problems
involving height and distance, especially in fields like engineering and
navigation.
8. Coordinate Geometry
Content: Discusses the Cartesian plane, plotting points, and
working with lines and curves in a twodimensional space.
Objective: Develop skills to represent and solve geometric problems
in the coordinate plane, and understand the equation of a line and its applications.
9. Linear Programming
Content: Introduces the concept of linear programming, including
the formulation of linear inequalities and the optimization of Objective functions.
Objective: Learn how to solve reallife optimization problems using
linear programming techniques, particularly in business and economics.
10. Introduction to ThreeDimensional Geometry
Content: Covers basic concepts of threedimensional geometry,
including points, lines, and planes in space.
Objective: Gain an understanding of how to work with threedimensional
space and learn to visualize and solve problems involving geometric figures in
3D.
11. Probability
Content: Expands on the earlier introduction to probability,
covering the probability of events, conditional probability, and the addition
and multiplication theorems.
Objective: Develop a deeper understanding of probability theory and
its applications, which are essential for making predictions and risk
assessments in various disciplines.