Class 7 - Mathematics

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SYLLABUS:

1. INTEGERS

Addition, subtraction, multiplication and division of integers – Properties of integers including closure, commutative, associative and distributive properties – Identity and inverse properties – Multiplication and division by zero – Word problems involving integers.

2. FRACTIONS, DECIMALS AND RATIONAL NUMBERS

Multiplication and division of fractions – Fraction as an operator – Reciprocal of fractions – Rational numbers and their properties – Decimal operations – Conversion of units – Applications through daily-life problems.

3. EXPONENTS AND POWERS

Exponential notation – Prime factorization using exponents – Laws of exponents – Numbers with zero exponent – Scientific notation and large numbers.

4. ALGEBRAIC EXPRESSIONS

Generation of algebraic expressions – Constants, variables and coefficients – Like and unlike terms – Degree of expressions – Addition and subtraction of algebraic expressions – Evaluation of expressions.

5. SIMPLE EQUATIONS

Linear equations in one variable – Equations arising from contextual situations – Solving equations using arithmetic operations – Word problems.

6. RATIO AND APPLICATIONS

Ratio and proportion – Unitary method – Direct proportion – Percentage – Profit and loss – Discount – Simple interest – Applications in business and daily life.

7. GEOMETRY

Lines and angles – Complementary, supplementary, adjacent and vertically opposite angles – Transversals and parallel lines – Triangles and their properties – Congruence of triangles – Construction of triangles – Quadrilaterals and their properties – Reflection and rotational symmetry.

8. MENSURATION

Area and perimeter of rectangles and squares – Area of parallelograms, triangles and rhombuses – Circumference of circles – Rectangular paths and practical applications.

9. DATA HANDLING

Collection and organization of data – Mean, median and mode of ungrouped data – Reading bar graphs – Double bar graphs – Simple pie charts and interpretation of data.