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.) 

(i) a^{m} a^{n} a^{m+n}
(ii) (a^{m})^{n} =a^{mn}
(iii) a^{m}/a^{n} = a^{mn}, where m  n ∈ Ν 
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^{2}y 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
viceversa.
• 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 2D objects. (90^{o},
120^{o}, 180^{o})
• Operation of rotation through
90^{o} and 180^{o} of simple figures.
• Examples of figures with both
rotation and reflection symmetry
(both operations)
• Examples of figures that have
reflection and rotation symmetry
and viceversa 
(iv) Representing 3D in 2D: 

• Drawing 3D figures in 2D
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. 