Consolidating the sense of numberness up to 5 digits, size, estimation of numbers, identifying smaller, larger, etc
Place value (recapitulation and extension.,
Operations on large numbers
Word problems on number operations involving large numbers
Estimation of outcome of number operations.
Introduction to a sense of the largeness (up to 8 digits) and approximation of large numbers
Numbers in Indian and International Systems and their comparison.
Natural numbers and Whole numbers
Properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity)
Seeing patterns, identifying and formulating rules for operations on numbers
Negative Numbers and Integers
Need for negative numbers
Connection of negative numbers in daily life
Representation of negative numbers on number line
Ordering of negative numbers, Integers
Identification of integers on the number line
Operation of addition and subtraction of integers
Addition and subtraction of integers on the number line
Comparison of integers
ordering of integers
Idea of sets
Representation of sets
Types of sets: Finite/infinite and empty
Cardinality of a set
Revision of what a fraction is
Fraction as a part of whole
Representation of fractions (pictorially and on number line)
Fraction as a division
Proper, improper & mixed fractions
Comparison of fractions
Operations on fractions (Avoid large and complicated unnecessary tasks). (Moving towards abstraction in fractions)
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).
Playing with Numbers
Simplification of brackets
Multiples and factors
divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, 11. (All these through observing patterns. Children would be helped in deducing some and then asked to derive some that are a combination of the basic patterns of divisibility)
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.
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