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- Chapter 13 - Direct and Inverse Proportions
- Chapter 14 - Factorisation
- Chapter 15 - Introduction to Graphs
- Chapter 16 - Playing with Numbers
- Chapter 3 - Understanding Quadrilaterals
- Chapter 4 - Practical Geometry
- Chapter 6 - Squares and Square Roots
- Chapter 7 - Cubes and Cube Root
- Chapter 8 - Comparing Quantities
- Chapter 8 - Comparing Quantities
- Chapter 9 - Algebraic Expressions and Identities
- Linear Equations in One Variable
- Mensuration (Math)
- Rational Number

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# CBSE VIII - Mathematics Syllabus

Number System (50 hrs)

(i) Rational Numbers:

• Properties of rational numbers.

(including identities). Using

general form of expression to

describe properties

• Consolidation of operations on

rational numbers.

• Representation of rational

numbers on the number line

• Between any two rational

numbers there lies another

rational number (Making

children see that if we take two

rational numbers then unlike for

whole numbers, in this case you

can keep finding more and more

numbers that lie between them.)

• Word problem (higher logic,

two operations, including ideas

like area)

(ii) Powers

• Integers as exponents.

• Laws of exponents with integral

powers

(iii) Squares, Square roots,

Cubes, Cube roots.

• Square and Square roots

• Square roots using factor

method and division method for

numbers containing (a) no more

than total 4 digits and (b) no

more than 2 decimal places

Cubes and cubes roots (only

factor method for numbers

containing at most 3 digits)

• Estimating square roots and

cube roots. Learning the process

of moving nearer to the

required number.

(iv) Playing with numbers

• Writing and understanding a 2

and 3 digit number in generalized

form (100a + 10b + c , where a,

b, c can be only digit 0-9) and

engaging with various puzzles

concerning this. (Like finding the

missing numerals represented by

alphabets in sums involving any

of the four operations.) Children

to solve and create problems

and puzzles.

• Number puzzles and games

• Deducing the divisibility test

rules of 2, 3, 5, 9, 10 for a two

or three-digit number expressed

in the general form.

Algebra (20 hrs)

(i) Algebraic Expressions

• Multiplication and division of

algebraic exp.(Coefficient should

be integers)

• Some common errors (e.g. 2 +

x ≠ 2x, 7x + y ≠ 7xy )

• Identities (a ± b)2 = a2 ± 2ab + b2,

a2 – b2 = (a – b) (a + b)

Factorisation (simple cases only)

as examples the following types

a(x + y), (x ± y)2, a2 – b2,

(x + a).(x + b)

Solving linear equations in one

variable in contextual problems

involving multiplication and

division (word problems) (avoid

complex coefficient in the

equations)

Ratio and Proportion (25 hrs)

• Slightly advanced problems

involving applications on

percentages, profit & loss,

overhead expenses, Discount,

tax.

• Difference between simple and

compound interest

(compounded yearly up to 3

years or half-yearly up to 3 steps

only), Arriving at the formula for

compound interest through

patterns and using it for simple

problems.

• Direct variation – Simple and

direct word problems

• Inverse variation – Simple and

direct word problems

• Time & work problems– Simple

and direct word problems

Geometry (40 hrs)

(i) Understanding shapes:

• Properties of quadrilaterals –

Sum of angles of a quadrilateral

is equal to 3600 (By verification)

• Properties of parallelogram (By

verification)

(i) Opposite sides of a

parallelogram are equal,

(ii) Opposite angles of a

parallelogram are equal,

(iii) Diagonals of a parallelogram

bisect each other. [Why (iv), (v)

and (vi) follow from (ii)]

(iv) Diagonals of a rectangle are

equal and bisect each other.

(v) Diagonals of a rhombus bisect

each other at right angles.

(vi) Diagonals of a square are equal

and bisect each other at right

angles.

(ii) Representing 3-D in 2-D

• Identify and Match pictures with

objects [more complicated e.g.

nested, joint 2-D and 3-D

shapes (not more than 2)].

• Drawing 2-D representation of

3-D objects (Continued and

extended)

• Counting vertices, edges & faces

& verifying Euler’s relation for

3-D figures with flat faces

(cubes, cuboids, tetrahedrons,

prisms and pyramids)

(iii) Construction:

Construction of Quadrilaterals:

• Given four sides and one

diagonal

• Three sides and two diagonals

• Three sides and two included

angles

• Two adjacent sides and three

angles

Mensuration (15 hrs)

(i) Area of a trapezium and a

polygon.

(ii) Concept of volume,

measurement of volume

using a basic unit, volume of

a cube, cuboid and cylinder

(iii) Volume and capacity

(measurement of capacity)

(iv) Surface area of a cube, cuboid,

cylinder.

Data handling (15 hrs)

(i) Reading bar-graphs,

ungrouped data, arranging it

into groups, representation

of grouped data through

bar-graphs, constructing and

interpreting bar-graphs.

(ii) Simple Pie charts with

reasonable data numbers

(iii) Consolidating and generalising

the notion of chance in events

like tossing coins, dice etc.

Relating it to chance in life

events. Visual representation of

frequency outcomes of

repeated throws of the same

kind of coins or dice.

Throwing a large number

of identical dice/coins

together and aggregating the

result of the throws to get large

number of individual events.

Observing the aggregating

numbers over a large number

of repeated events.

Comparing with the data for

a coin. Observing strings

of throws, notion of

randomness

Introduction to graphs (15 hrs)

PRELIMINARIES:

(i) Axes (Same units), Cartesian

Plane

(ii) Plotting points for different

kind of situations (perimeter

vs length for squares, area as a

function of side of a square,

plotting of multiples of

different numbers, simple

interest vs number of years

etc.)

(iii) Reading off from the graphs

• Reading of linear graphs

• Reading of distance vs time

graph