Mathematics (Grade VII)
Grade VII
Tk. 5,000
Tk. 4,500
Before 10 July
Overview
A solid bridge between foundational skills and abstract thinking.
The Grade VII Mathematics syllabus builds upon foundational skills, introducing more complex algebraic techniques and geometric applications. The chart below highlights the core areas students will master:
Classify and work with various types of numbers, powers, and roots- Convert and calculate fluently between fractions, decimals, and percentages
- Use estimation and proportional reasoning in real-life problem contexts
- Develop strong algebraic techniques including expansion, factorisation, and algebraic fractions
- Solve equations — linear, fractional, simultaneous — and manipulate formulas
- Identify and describe number sequences including linear, quadratic, and exponential patterns
- Understand geometrical vocabulary, angle properties, and polygon relationships
- Calculate area and perimeter of 2D shapes, and apply Pythagoras’ Theorem
- Build examination strategies through spiral revision, mixed-topic practice, and timed mock tests
Learning Area Coverage
The Grade VII Mathematics syllabus builds upon foundational skills, introducing more complex algebraic techniques and geometric applications. The chart below highlights the core areas students will master:
Assessment and Practice
Regular topic-end tests ensure mastery throughout the year, while integrated consolidation weeks reinforce connections across strands. A mid-year exam (Week 24) and a final full-syllabus mock exam (Week 48) build confidence and readiness for future academic demands. The structure ensures learners not only understand concepts but can apply them flexibly in problem-solving settings.
Course Structure Overview
This structured plan ensures a seamless progression from foundational to more abstract mathematical concepts, incorporating regular assessments and comprehensive reviews.
9 Core Module
Coverage of all mathematical area
48 Week Program
Structured regular timeline
Continues Assessment
Topic test & comprehensive exam
Module Timeline
Weeks (1–4)
Topic: Number – Types and Conversions
Week 1
Understand and classify types of numbers — natural, integers, primes, squares, cubes, rational/irrational, factors, multiples, reciprocals
Week 2
Powers and roots — square, cube, higher powers and roots, recall up to 15
Week 3
Fractions, decimals, and percentages — conversion and equivalence
Week 4
Mixed Practice on Number Types and Conversion
End of Week 4
Test on Weeks 1–3
Weeks (5–7)
Topic: Number – Operations and Percentage Reasoning
Week 5
Four operations with integers, fractions, decimals (including negatives, mixed numbers)
Week 6
Estimation using rounding, decimal places, significant figures
Week 7
Percentages — reverse percentages, profit/loss, discounts, compound interest
Week (8)
Topic: Consolidation 1
Review tasks involving order of operations, estimation, and percentage reasoning
End of Week 8
Test on Weeks 5–8
Weeks (9–10)
Topic: Ratio and Proportion
Week 9
Ratio basics — simplest form, dividing quantities, applying ratios
Week 10
Proportional reasoning — scale, maps, recipes, reverse ratio
End of Week 10
Test on Ratio and Proportion
Week (11)
Topic: Consolidation 2
Integrated problems combining percentages, ratios, and estimation
Comprehensive Exam 1 – Weeks 1 to 10
Weeks (12–15)
Topic: Algebra – Expressions and Algebraic Fractions
Week 12
Algebra basics — notation, substitution, simplifying, expanding
Week 13
Expanding products of two and three brackets
Week 14
Factorising expressions and working with algebraic fractions
Week 15
Rational expressions — simplifying, factorising, rearranging
Week (16)
Topic: Consolidation 3
Practice expressions, substitutions, and algebraic simplification with error spotting and stretch problems
End of Week 16
Test on Algebra and Algebraic Fractions
Weeks (17–21)
Topic: Equations and Formulas
Week 17
Solving linear and fractional equations
Week 18
Constructing and solving simultaneous equations
Week 19
Changing the subject — including powers, roots, repeated terms
Week 20
Constructing formulas from word problems
Week 21
Mixed equation solving across all formats
End of Week 21
Test on Equations and Formulas
Week (22)
Topic: Sequences
Identify, continue and represent linear, quadratic, exponential and mixed sequences with nth term notation
Week (23)
Topic: Consolidation 4
Real-life applications of formulas and sequences; algebra recap
Week (24)
Topic: Revision & Practice
Reinforce learning from Weeks 1–23 with problem-solving sessions and mini reviews
End of Week 24
Midterm Exam — covers all contents from Weeks 1 to 23
Weeks (25–27)
Topic: Geometry – Terms and Angles
Week 25
Geometrical vocabulary — points, lines, angles, triangles, polygons
Week 26
Properties of triangles and quadrilaterals
Week 27
Angle sums, angles in parallel lines, and polygon angle properties
Week (28)
Topic: Consolidation 5
Mixed shape properties and angle reasoning tasks with diagrams
End of Week 28
Test on Geometry and Angles
Weeks (29–31)
Topic: Mensuration – Perimeter and Area
Week 29
Perimeter and area of rectangles, triangles, and trapeziums
Week 30
Parallelograms and compound shapes
Week 31
Diagram-based, worded problems involving area and perimeter
End of Week 31
Test on Mensuration
Week (32)
Topic: Consolidation 6
Application problems using area, perimeter, and angles in real-world scenarios
Weeks (33–36)
Topic: Pythagoras’ Theorem
Week 33
Right-angled triangle structure and notation
Week 34
Apply Pythagoras’ Theorem in calculations
Week 35
Use converse of the theorem
Week 36
Combine Pythagoras with perimeter/area-based problems
End of Week 36
Test on Pythagoras’ Theorem
Week (37)
Topic: Consolidation 7
Spiral revision — mixed tasks from Number, Algebra, and Geometry so far
Weeks (38–44)
Topic: Spread-Out Revision
Week 38
Review of Fractions, Percentages, Ratio, and Estimation
Week 39
Review of Algebra, Formulas, and Sequences
Week 40
Word problems and substitution in context
Week 41
Geometry and Mensuration recap
Week 42
Mixed paper-style tasks with angles and area
Week 43
Timed quizzes with topics mixed from past papers
Week 44
Error correction and stretch challenges
Weeks (45–47)
Topic: Mock Exam Practice
Week 45
Mock Exam Phase-1
Week 46
Mock Exam Phase-2
Week 47
Corrections and targeted review