Module 1: Real Numbers
Euclidβs Division Lemma
Fundamental Theorem of Arithmetic
HCF and LCM
Irrational numbers
Decimal expansions of rational numbers
π’ Module 2: Polynomials
Degree
...
and zeros of a polynomial
Relationship between zeros and coefficients
Factorization of quadratic polynomials
Graphical representation
π Module 3: Pair of Linear Equations in Two Variables
Graphical solution
Substitution, elimination & cross multiplication methods
Word problems (age, distance, business)
π Module 4: Quadratic Equations
Solving by factorization, completing the square, and quadratic formula
Nature of roots
Application-based problems (area, speed, finance)
π Module 5: Arithmetic Progressions (AP)
nth term and sum of first n terms
Real-life uses: savings, planting trees, seating rows
Word problems using AP
πΊ Module 6: Triangles
Similarity of triangles
Basic Proportionality Theorem (Thales)
Pythagoras Theorem & its converse
Area ratio of similar triangles
β Module 7: Coordinate Geometry
Distance formula
Section formula
Midpoint formula
Application in mapping village/home layouts
π° Module 8: Introduction to Trigonometry
Trigonometric ratios
Trigonometric identities
Heights and distances (simple problems using angles)
π Module 9: Statistics
Mean, median, mode (for grouped data)
Frequency distribution
Graphical representation using histogram, ogive
π² Module 10: Probability
Classical definition
Simple experiments (dice, coins, cards)
Real-life applications (chance of rain, accident, drawing lots)
π Module 11: Circles
Tangent to a circle
Number of tangents from a point outside the circle
Theorems on tangents
π Module 12: Constructions
Division of line segment
Tangents from an external point
Construction of triangle (given condition)
π¦ Module 13: Surface Areas and Volumes
Surface area and volume of:
Sphere, cone, cylinder, and frustum
Conversion of one solid into another
Application in tank, drum, silo, grain storage
β
GyanBee BeeMaster Features:
π₯ Bengali video lessons with rural-based story problems
π Printable worksheets and mock tests
π Monthly quiz and tracker
π Board exam strategy: weightage-based revision
π§© Math games and visual tools
π¬ Weekly motivational stories: βMath in Lifeβ (e.g., budgeting, land area, interest)
π Add-Ons (Optional):
Board exam crash course module
Vedic Math tricks for faster revision
Parent guide: How to support Class X math at home
Teacher guide: Tips for rural math engagement
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