Additional Mathematics (Grade IX_X)

Grade IX_X

Tk. 5,000

Tk. 4,500

Before 10 July

Tk. 5,000

Tk. 4,500

Before 10 July

Overview

Advanced skills, analytical depth, and mathematical fluency for O-Level distinction.

The Grade IX/X Additional Mathematics syllabus is an intensive course designed to build advanced mathematical proficiency for O-Level distinction. The chart below highlights the key learning outcomes and their emphasis:

Apply advanced algebraic tools including functions, inequalities, and polynomials
Solve exponential and logarithmic equations and model them graphically
Master geometry of circles, coordinate systems, and transformations
Explore all six trigonometric functions, equations, and real-world applications
Develop fluency with vectors, permutations, series, and their problem-solving uses
Build a strong foundation in calculus including derivatives, integrals, and kinematics

Learning Area Coverage

Assessment and Practice

Students are supported through topic-end tests, structured review blocks, and four comprehensive exams throughout the course. Timed mock papers simulate exam pressure and help learners gain speed, accuracy, and confidence with full-syllabus exam-style questions.

Course Structure Overview

This intensive plan guides students through advanced algebra, trigonometry, coordinate geometry, vectors, and introductory calculus, with continuous assessment and strategic exam preparation.

9 Core Module

Coverage of all mathematical area

48 Week Program

Structured regular timeline

Continues Assessment

Topic test & comprehensive exam

Module Timeline

Weeks (1–5)

Topic: Functions and Quadratics

Week 1

Understanding domain, range, one–one and many–one functions, inverse and composite functions

Week 2

Function notation, sketching function/inverse graphs, modulus transformations

Week 3

Completing the square, maximum/minimum of quadratics, range and graph interpretation

Week 4

Conditions for roots using discriminant, solving quadratic equations, inequalities

Week 5

Test on Functions and Quadratics

Weeks (6–8)

Topic: Polynomials and Advanced Equations

Week 6

Remainder theorem, factor theorem, factoring cubic polynomials

Week 7

Solving cubic equations, modulus equations and inequalities (linear and quadratic)

Week 8

Substitution to form quadratics, sketching/modulus graphs, solving cubic inequalities

Week 9

Comprehensive Exam 1 — Weeks 1 to 8

Weeks (10–11)

Topic: Simultaneous Equations and Logarithms

Week 10

Solving nonlinear simultaneous equations algebraically

Week 11

Properties of logarithmic and exponential functions, graphs, asymptotes, solving exponential equations

Weeks (12–13)

Topic: Graphs and Coordinate Geometry

Week 12

Equation of a line, parallel/perpendicular conditions, midpoints, bisectors

Week 13

Graph transformation and straight-line graph applications, including exponential/log models

Weeks (14–15)

Topic: Revision and Tests

Week 14

Test on Simultaneous Equations, Logarithms, and Graphs

Week 15

Comprehensive Exam 2 — Weeks 10 to 13

Weeks (16–18)

Topic: Circle Geometry and Circular Measure

Week 16

Equation of a circle, identifying radius/centre, circle-line intersections

Week 17

Tangents to circles, intersection of two circles, common chords

Week 18

Arc length, sector area, radian measure

Week 19

Test on Circles and Circular Measure

Weeks (20–23)

Topic: Trigonometry

Week 20

All six trig functions and identities

Week 21

Amplitude, period, transformation of trig graphs

Week 22

Solving trig equations in given domains, proving identities

Week 23

Applications and mixed problems in trigonometry

Week (24)

Topic: Revision & Practice

End of Week 24

Midterm Exam — covers all contents from Weeks 1 to 23

Weeks (25–26)

Topic: Permutations, Combinations and Series

Week 25

Factorial notation, solving problems with permutations and combinations

Week 26

Binomial theorem, arithmetic and geometric series, sum to n terms and infinity

Week (27)

Topic: Test on Counting and Series

Weeks (28–32)

Topic: Vectors and Basic Calculus

Week 28

Vector notation, position vectors, magnitude, scalar multiplication

Week 29

Resultant vectors, velocity vectors, applications

Week 30

Concept of derivatives, standard derivative formulas

Week 31

Chain, product and quotient rule

Week 32

Tangents, normals, gradients, and stationary points

Week (33)

Topic: Test on Vectors and Derivatives

Week (34)

Topic: Comprehensive Exam 3 — Weeks 25 to 33

Weeks (35–38)

Topic: Calculus Applications

Week 35

First and second derivative tests, maxima and minima

Week 36

Rates of change, small changes, approximations

Week 37

Integration basics, standard functions, and rules

Week 38

Integrals involving (ax + b)^n, sin(ax + b), exponential, etc.

Week (39)

Topic: Test on Calculus Applications

Weeks (40–41)

Topic: Integration Applications

Week 40

Definite integrals, area between curves

Week 41

Kinematics using calculus (displacement, velocity, acceleration)

Week (42)

Topic: Comprehensive Exam 4 — Weeks 34 to 41

Weeks (43–45)

Topic: Final Revision

Week 43

Focused revision — algebra, graphs, trigonometry

Week 44

Focused revision — calculus and applications

Week 45

Focused revision — functions, vectors, geometry

Weeks (46–47)

Topic: Mock Exams

Week 46

Mock Exam Paper 1

Week 47

Mock Exam Paper 2