Class 7 Math Syllabus NCERT
Hello in this article I am going to tell you the syllabus of class 7 Math NCERT.
Number System (50 hrs)
(i) Knowing our Numbers:
Integers
• Multiplication and division of
integers (through patterns).
Division by zero is meaningless
• Properties of integers (including
identities for addition &
multiplication, commutative, associative,
distributive) (through patterns). These
would include examples from
whole numbers as well. Involve
expressing commutative and
associative properties in a general
form. Construction of counterexamples, including some by
children. Counter examples like
subtraction is not commutative.
• Word problems including
integers (all operations)
(ii) Fractions and rational
numbers:
• Multiplication of fractions
• Fraction as an operator
• Reciprocal of a fraction
• Division of fractions
• Word problems involving mixed
fractions
• Introduction to rational
numbers (with representation on
number line)
• Operations on rational numbers
(all operations)
• Representation of rational
number as a decimal.
• Word problems on rational
numbers (all operations)
• Multiplication and division of
decimal fractions
• Conversion of units (length &
mass)
• Word problems (including all
operations)
(iii) Powers:
• Exponents only natural
numbers.
• Laws of exponents (through
observing patterns to arrive at
generalisation.)
Algebra (20 hrs)
ALGEBRAIC EXPRESSIONS
• Generate algebraic expressions
(simple) involving one or two
variables
• Identifying constants, coefficient,
powers
• Like and unlike terms, degree of
expressions e.g., x y
2 etc.
(exponent≤ 3, number of
variables )
• Addition, subtraction of algebraic
expressions (coefficients should
be integers).
• Simple linear equations in one
variable (in contextual problems)
with two operations (avoid
complicated coefficients)
Ratio and Proportion (20 hrs)
• Ratio and proportion (revision)
• Unitary method continued,
consolidation, general
expression.
• Percentage- an introduction.
• Understanding percentage as a
fraction with denominator 100
• Converting fractions and
decimals into percentage and
vice-versa.
• Application to profit and loss
(single transaction only)
• Application to simple interest
(time period in complete years).
Geometry (60 hrs)
(i) Understanding shapes:
• Pairs of angles (linear,
supplementary, complementary,
adjacent, vertically opposite)
(verification and simple proof
of vertically opposite angles)
• Properties of parallel lines with
transversal (alternate,
corresponding, interior, exterior
angles)
(ii) Properties of triangles:
• Angle sum property (with
notions of proof & verification
through paper folding, proofs
using property of parallel lines,
difference between proof and
verification.)
• Exterior angle property
• Sum of two sides of a it’s
third side
• Pythagoras Theorem
(Verification only)
(iii) Symmetry
• Recalling reflection symmetry
• Idea of rotational symmetry,
observations of rotational
symmetry of 2-D objects. (900
,
1200
, 1800
)
• Operation of rotation through
900 and 1800
of simple figures.
• Examples of figures with both
rotation and reflection symmetry
(both operations)
• Examples of figures that have
reflection and rotation symmetry
and vice-versa
(iv) Representing 3-D in 2-D:
• Drawing 3-D figures in 2-D
showing hidden faces.
• Identification and counting of
vertices, edges, faces, nets (for
cubes cuboids, and cylinders,
cones).
• Matching pictures with objects
(Identifying names)
• Mapping the space around
approximately through visual
estimation.
(v) Congruence
• Congruence through
superposition (examplesblades, stamps, etc.)
• Extend congruence to simple
geometrical shapes e.g. triangles,
circles.
• Criteria of congruence (by
verification) SSS, SAS, ASA, RHS
(vi) Construction (Using scale,
protractor, compass)
• Construction of a line parallel to
a given line from a point outside
it.(Simple proof as remark with
the reasoning of alternate angles)
• Construction of simple triangles.
Like given three sides, given a
side and two angles on it, given
two sides and the angle between
them.
Mensuration (15 hrs)
• Revision of perimeter, Idea of
, Circumference of Circle
Area
Concept of measurement using a
basic unit area of a square, rectangle,
triangle, parallelogram and circle,
area between two rectangles and
two concentric circles.
Data handling (15 hrs)
(i) Collection and organisation of
data -
choosing the data to collect for a hypothesis testing.
(ii) Mean, median and mode of
ungrouped data –
understanding
what they represent.
(iii) Constructing bargraphs
(iv) Feel of probability using data
through experiments.
Notion
of chance in events like tossing
coins, dice etc. Tabulating and
counting occurrences of 1
through 6 in a number of
throws. Comparing the
observation with that for a
coin.Observing strings of
throws, notion of randomness.
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