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SYLLABUS
Unit–1: Number System
Integers – Closure property – Commutative property – Associative property – Distributive property – Word problems – Absolute value – Fractions – Decimals – Multiplication and division of fractions – Recurring decimals – Terminating decimals – Rational numbers – Number line representation – Standard form – Comparison of rational numbers.
Unit–2: Exponents and Powers
Base and exponent – Laws of exponents – Product law – Quotient law – Power law.
Unit–3: Ratio, Proportion and Commercial Arithmetic
Ratio – Proportion – Continued proportion – Unitary method – Direct variation – Inverse variation – Percentage – Increase and decrease percentage – Profit – Loss – Discount – Cost price – Selling price – Simple interest – Principal – Rate – Time – Amount.
Unit–4: Algebra
Algebraic expressions – Monomials – Binomials – Polynomials – Degree of expressions – Addition of expressions – Subtraction of expressions – Linear equations – Multi-step equations – Word problems.
Unit–5: Geometry
Lines and angles – Complementary angles – Supplementary angles – Adjacent angles – Vertically opposite angles – Parallel lines and transversals – Properties of triangles – Angle sum property – Exterior angle property – Triangle inequality theorem – Pythagoras theorem – Congruence of triangles – SSS – SAS – ASA – RHS criteria.
Unit–6: Mensuration
Perimeter – Surface area – Area of triangles – Area of parallelograms – Circumference of circle – Area of circle.
Unit–7: Data Handling
Arithmetic mean – Median – Mode – Double bar graphs – Interpretation of data.
• Practicing problem sets and solutions regularly to build muscle memory.
• Focusing on understanding the underlying core concepts and formulas clearly rather than just memorizing them.
• Solving additional challenge exercises to test their boundaries.
• Maintaining a positive, growth-oriented attitude toward learning math.
