Knowing our Numbers: Consolidating the sense of numberness up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, <, > and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass.
Playing with Numbers: Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, 11. Even/odd and prime/composite numbers, Co-prime numbers, prime factorisation, every number can be written as products of prime factors. HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM ×HCF = product of two numbers
Basic Geometrical Ideas: Introduction to geometry. Its linkage with and reflection in everyday experience. Line, line segment, ray. Open and closed figures. Interior and exterior of closed figures. Curvilinear and linear boundaries. Angle — Vertex, arm, interior and exterior, Triangle — vertices, sides, angles, interior and exterior, altitude and median.
Understanding Elementary Shapes: Shapes (2-D and 3-D): Measure of Line segment. Measure of angles. Pair of lines– Intersecting and perpendicular lines, Parallel lines. Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle. Classification of triangles.Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.
Integers: What are integers, identification of integers on the number line, operation of addition and subtraction of integers, showing the operations on the number line (addition of negative integer reduces the value of the number) comparison of integers, ordering of integers.
Decimals: Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage), word problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature)
Data handling: (i) What is data - choosing data to examine a hypothesis? (ii) Collection and organisation of data - examplesof organizing it in tally bars and a table. (iii) Pictograph- Need for scaling in pictographs interpretation & construction. (iv) Making bar graphs for given data interpreting bar graphs+.
Mensuration: Introduction and general understanding of perimeter using many shapes. Shapes of different kinds with the same perimeter. Concept of area, Area of a rectangle and a square Counter examples to different misconcepts related to perimeter and area. Perimeter of a rectangle – and its special case – a square. Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalisation.