Additional Mathematics (O Levels)
O Levels
Tk. 5,000
Tk. 2,500 / month
Overview
A full-scale O-Level preparation course that transforms confidence into competence.
The Grade IX/X Mathematics Syllabus D is a comprehensive O-Level preparation course. The chart below illustrates the emphasis on each key learning domain, designed to build mastery across all necessary topics:
Work fluently with number systems, ratio, percentages, surds, and standard form- Master algebraic manipulation, equations, functions, graphs, and sequences
- Apply geometric reasoning, constructions, coordinate geometry, and mensuration techniques
- Solve real-world problems using trigonometry and vectors
- Analyze data through charts, averages, and probability tools
- Build speed and accuracy through structured revision and timed practice papers
Learning Area Coverage
The Grade IX/X Mathematics Syllabus D is a comprehensive O-Level preparation course. The chart below illustrates the emphasis on each key learning domain, designed to build mastery across all necessary topics:
Assessment and Practice
The course is structured around targeted weekly instruction, topic-wise tests, and a midterm exam. The second half of the year focuses on deep revision with past paper integration, followed by final full-syllabus mock exams to simulate exam conditions and ensure readiness.
Core Learning Areas
This detailed academic plan guides students through the complete O-Level Mathematics Syllabus D, with a strong focus on conceptual clarity, practical problem-solving, and extensive exam practice.
Functions & Advanced Algebra
- Functions (inverse, composite, modulus)
- Quadratic Functions (max/min, roots, inequalities)
- Polynomials (factor/remainder theorems, cubics)
- Modulus Equations & Inequalities
- Logarithmic & Exponential Equations/Graphs
- Simultaneous Equations (nonlinear)
Geometry & Trigonometry
- Coordinate Geometry (lines, transformations, models)
- Circle Geometry (equations, tangents, chords)
- Circular Measure (arc length, sector area, radians)
- Trigonometric Functions (all 6, identities, graphs)
- Solving Trigonometric Equations
- Applications of Trigonometry
Vectors & Introduction to Calculus
- Vectors (notation, magnitude, geometry, applications)
- Permutations & Combinations
- Series (Arithmetic, Geometric, Sum to Infinity)
- Differentiation (rules, tangents, normals, stationary points)
- Applications of Differentiation (max/min, rates of change)
- Integration (basics, definite integrals, area, kinematics)
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