Additional Mathematics (Grade VIII)
Grade VIII
Tk. 5,000
Tk. 2,500 / month
Overview
Unlock the world of numbers, patterns, and equations.
The Grade VI Mathematics syllabus is designed to cover essential mathematical concepts across various domains, building a solid foundation for future studies. The chart highlights the key areas of focus:
Identify and classify number types: integers, primes, squares, cubes, rational and irrational numbers- Convert and calculate fluently between fractions, decimals, and percentages
- Apply the four operations accurately with integers, fractions, and decimals
- Use estimation strategies including rounding and significant figures
- Solve percentage problems including profit/loss, compound interest, and reverse percentages
- Develop ratio and proportion skills in practical contexts
- Understand and manipulate algebraic expressions and formulas
- Solve equations and change the subject of formulas, including fractional and simultaneous types
- Explore linear, quadratic, and exponential sequences using nth term notation
- Apply geometrical terms and solve problems involving angles and polygons
- Calculate area and perimeter of 2D shapes using formulas and compound structures
Learning Area Coverage
The Grade VI Mathematics syllabus is designed to cover essential mathematical concepts across various domains, building a solid foundation for future studies. The chart highlights the key areas of focus:
Assessment and Practice
Each major topic includes an end-of-topic test to consolidate understanding. Periodic consolidation weeks connect ideas across units for deeper mastery. A midyear exam assesses core concepts, and the final term builds exam confidence through spiral revision, timed problem-solving, and mock tests.
Core Learning Areas
This detailed plan guides students through fundamental mathematical concepts, ensuring a steady progression of skills and regular reinforcement through tests and consolidation weeks.
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 (1–10)
Topic: Functions and Quadratics
Week 1
Introduction to functions — definitions, domain, range
Week 2
One–one and many–one functions, inverse and composition
Week 3
Function notation and interpreting composite functions
Week 4
Graphs of f(x) and |f(x)|; symmetry and modulus transformations
Week 5
Identifying if a function has an inverse; sketching inverse and original
Week 6
Quadratics — completing the square, vertex form
Week 7
Sketching quadratic graphs using turning points
Week 8
Using discriminant to determine nature of roots
Week 9
Solving quadratic equations by formula, factorisation
Week 10
Solving quadratic inequalities, both graphically and algebraically
Weeks (11–12)
Topic: Problem-solving & Review
Week 11
Mixed problems on functions and quadratic graphs
Week 12
Reinforcement & catch-up if needed
Week 13
Comprehensive Exam 1 (Covers Weeks 1–12)
Weeks (14–21)
Topic: Polynomials and Advanced Equations
Week 14
Introduction to polynomials; remainder and factor theorems
Week 15
Factoring polynomials and solving simple cubics
Week 16
Long division and writing cubic as (linear)(quadratic)
Week 17
Solving modulus equations (|ax + b| = c, etc.)
Week 18
Graphing modulus functions
Week 19
Solving modulus inequalities
Week 20
Substitution to form quadratic equations from complex expressions
Week 21
Sketching and solving cubic inequalities
Weeks (22–23)
Topic: Problem-solving & Review
Week 22
Mixed problems involving polynomials and modulus functions
Week 23
Graphical interpretation and application problems
Week (24)
Topic: Revision & Practice
End of Week 24
Midterm Exam — covers all contents from Weeks 1 to 23
Weeks (25–33)
Topic: Simultaneous Equations, Logarithmic & Graph Applications
Week 25
Nonlinear simultaneous equations — solving by substitution
Week 26
Solving simultaneous equations graphically
Week 27
Exponential and logarithmic equations — base forms
Week 28
Graphs of exponential and log functions — asymptotes
Week 29
Logarithm properties and laws (product, quotient, power)
Week 30
Transforming equations into straight-line forms
Week 31
Revisiting gradient and intercept from transformed graphs
Week 32
Word problems and models using exponential/logarithmic graphs
Week 33
Sketching cubic and modulus graphs from factored forms
Weeks (34–35)
Topic: Problem-solving & Review
Week 34
Mixed algebraic and graphical equation-solving
Week 35
Reinforcement and stretch problems
Week 36
Comprehensive Exam 2 (Covers Weeks 25–35)
Weeks (37–44)
Topic: Circle Geometry and Trigonometry
Week 37
Equation of a circle and identifying centre and radius
Week 38
Finding intersection points of lines and circles
Week 39
Tangents to circles and their equations
Week 40
Chord and point geometry within circles
Week 41
Arc length and sector area using radians
Week 42
All six trigonometric functions and their values
Week 43
Graphs of sine, cosine, and tangent — amplitude and period
Week 44
Solving trig equations and identities
Weeks (45–46)
Topic: Final Revision
Week 45
Full syllabus problem-solving
Week 46
Practice papers under timed conditions