- Description
- Curriculum
- Reviews
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SYLLABUS:
1. KNOWING OUR NUMBERS
Consolidating the sense of numberless up to 99,999 (five digits) – Estimation of numbers – Comparison of numbers – Place value (recapitulation and extension) – Use of symbols (=, <, >) – Word problems involving large numbers – Conversion of units of length and mass from larger units to smaller units – Estimation of outcomes of number operations – Introduction to large numbers up to lakhs, ten lakhs, crores and ten crores – Approximation of large numbers – International system of numeration (Millions) – Applications of large numbers in daily life situations.
2. WHOLE NUMBERS
Natural numbers and whole numbers – Properties of whole numbers including closure, commutative, associative and distributive properties – Additive identity and multiplicative identity – Division by zero – Number line representation – Addition, subtraction and multiplication on the number line – Pattern recognition and rule formulation – Applications of properties in arithmetic operations.
3. PLAYING WITH NUMBERS
Divisibility rules of 2, 3, 5, 6, 9 and 10 – Discovery of divisibility rules of 4, 8 and 11 through patterns – Multiples and factors – Prime numbers, composite numbers, co-prime numbers and twin prime numbers – Prime factorization – HCF and LCM using factorization and division methods – Property relating HCF and LCM.
4. INTEGERS
Introduction to negative numbers through real-life situations – Representation of integers on the number line – Comparison and ordering of integers – Addition and subtraction of integers – Understanding operations using the number line – Applications of integers in daily life.
5. FRACTIONS AND DECIMALS
Fractions as part of a whole and as division – Proper, improper and mixed fractions – Equivalent fractions – Representation of fractions on the number line – Comparison of fractions – Addition and subtraction of fractions – Decimal fractions – Place value in decimals – Conversion between fractions and decimals – Word problems involving money, length and mass.
6. ALGEBRA
Introduction to variables through patterns and word problems – Generalization of arithmetic patterns – Introduction to unknowns – Algebraic expressions – Simple equations – Solution of equations by trial and error – Applications in daily life situations.
7. RATIO AND PROPORTION
Concept of ratio – Comparison of quantities – Ratios involving different units – Division of quantities in a given ratio – Proportion as equality of ratios – Unitary method – Applications through word problems.
8. GEOMETRY
Basic geometrical ideas – Points, lines, line segments and rays – Angles and their types – Triangles, quadrilaterals and circles – Interior and exterior regions – Measurement of line segments and angles – Practical geometry and constructions – Perpendicular bisectors, angle bisectors and circles – Identification of 2D and 3D shapes – Symmetry and reflection.
9. MENSURATION
Perimeter of rectangles, squares and regular polygons – Understanding area – Area of rectangles and squares – Comparison of perimeter and area – Practical applications and word problems.
10. DATA HANDLING
Collection and organization of data – Recording data using tally marks and tables – Interpretation and construction of pictographs – Reading and drawing bar graphs – Use of scaling in pictographs.
