NCERT Class 7 Syllabus for Mathematics

CLASS-WISE COURSE STRUCTURE
IN MATHEMATICS
AT UPPER PRIMARY LEVEL

Class VI Class VII Class VIII

Number System (60 hrs) Number System (50 hrs) Number System (50 hrs)
(i) Knowing our Numbers: (i) Knowing our Numbers: (i) Rational Numbers:
Consolidating the sense of Integers • Properties of rational numbers.
numberness up to 5 digits, Size, • Multiplication and division of (including identities). Using
estimation of numbers, identifying integers (through patterns). general form of expression to
smaller, larger, etc. Place value Division by zero is meaningless describe properties
(recapitulation and extension), • Properties of integers (including • Consolidation of operations on
connectives: use of symbols =, <, > identities for addition & rational numbers.
and use of brackets, word problems multiplication, commutative, associative, • Representation of rational
on number operations involving distributive) (through patterns). These numbers on the number line
large numbers up to a maximum of would include examples from • Between any two rational
5 digits in the answer after all whole numbers as well. Involve numbers there lies another
operations. This would include expressing commutative and rational number (Making
for
Classes conversions of units of length & associative properties in a general children see that if we take two
at the mass (from the larger to the smaller form. Construction of counter- rational numbers then unlike for
Elementary units), estimation of outcome of examples, including some by whole numbers, in this case you
number operations. Introduction to children. Counter examples like can keep finding more and more
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a sense of the largeness of, and initial subtraction is not commutative. numbers that lie between them.)
familiarity with, large numbers up to • Word problems including • Word problem (higher logic,
8 digits and approximation of large integers (all operations) two operations, including ideas
numbers) (ii) Fractions and rational like area)
(ii) Playing with Numbers: numbers: (ii) Powers
Simplification of brackets, • Multiplication of fractions • Integers as exponents.
Multiples and factors, divisibility rule • Fraction as an operator • Laws of exponents with integral
of 2, 3, 4, 5, 6, 8, 9, 10, 11. • Reciprocal of a fraction powers
(All these through obser ving • Division of fractions (iii) Squares, Square roots,
patterns. Children would be helped • Word problems involving mixed Cubes, Cube roots.
in deducing some and then asked fractions • Square and Square roots
to derive some that are a • Introduction to rational • Square roots using factor
combination of the basic patterns numbers (with representation on method and division method for
of divisibility.) Even/odd and number line) numbers containing (a) no more
prime/composite numbers, • Operations on rational numbers than total 4 digits and (b) no
Co-prime numbers, prime (all operations) more than 2 decimal places