Download VIII class maths syllabus comparison sheet

VIII class maths syllabus comparison sheet
ICSE
CBSE
Whole numbers,
Real numbers
integers ,properties of
Rational Numbers:
integers ,operation on
Rational Numbers
integers ,application of
between Two Rational
bodmas. Types of
Numbers Properties of
fractions ,comparing
Rational Numbers
fractions ,addition and
Playing with Numbers:
substraction of
General
Form of
fractions.Comparing
decimals,additionand
Numbers tests of
substraction of
Divisibility.
decimals.
Exponents and Powers:
Multiplication and
Exponents
division of decimals.
Squares and Square
Prime and composite
Roots: Properties of
numbers. Divisibility
Square Numbers
of numbers. HCF and
LCM. Square roots and Finding Square
cube roots.
and square roots
Rational Numbers
Cubes and Cube Roots:
Irrational and real
Cubes and Cube Roots
numbers and
operations on them
Exponents.
Linear Equations in
One Variable:
Linear Equations in
One Variable:
AP BOARD
Real numbers
Introduction of
irrational Nos.
Representation of
rational and
irrational Nos. on
number line,
Real numbers: union
of rational
and irrational numbers
Group, abelian group,
field, ordered field
Introduction of surds:
Types of surds
Conjugate surds
Rationalization of a
surd
i. Powers: Integers as
exponents.Laws of
exponents with
integral
power
ii. Square and square
roots
square roots:
a. factor method
b. Division method
(not more than 2
decimals places)
Cubes and cube roots:
Only factor
method ( not more
than 3 digits)
estimating square roots
and cube roots
Introducing
Pythagorean triplets
iii. Playing with
numbers: Finding the
missing numerals
represented by
alphabet in sums
involving any of the
four operations
number puzzles and
games number patterns
Linear Equations
IB
Surds
Rules for indices and
exponents
Solving equations
and inequalities.
Quadratic equations
Introduction to Linear
Equations
Application of Linear
Equations.
Quadratic equations.
Introduction to Linear
Equations
Application of Linear
Equations
Algebraic Expressions
and Identities:
Multiplication and
division of Algebraic
Expressions
Factorisation:
Special products
Algebraic identities,
cubic identities.
Algebraic Expressions
and Identities:
Multiplication of
Algebraic Expressions
Factorisation:
Sets
Introduction of sets
concept of a set
different
Representations of a
set finite and infinite
sets, universal set
complementary set,
single ton empty
set Cardinal number
Equivalent sets, Equal
sets overlapping sets.
Data Handling:
Data Handling
Probability
Commercial Math
Percentages,conversion
Discount
Profit and loss
Simple and compound
interest
Ratio proportions
Polynomials
Factorization
Factorisation of
expressions by using
Special products.
Factorisation of
quadratic expression
Monic quadratic
expression
Quadratic expression
Factorization
Simplification
Algebraic expressions
Sets & Relations
Introduction of sets
concept of a set
different
Representations of a
set finite
and infinite sets,
universal set
complementary set,
single ton empty
set.Cardinal number
Equivalent sets, Equal
sets ,Power sets
Data Handling
Collection of data both
from primary
and secondary with pre
hypothesis
testing Construction of
bar graphs percentage
bar graphs. Preparation
of a frequency
distribution table.
Cumulative Frequency
Distributions.
Lcf and Gcf
Exponential function
Scientific notation of
larger numbers
Statistics
Data , Line graphs
Mean ,Median ,Mode
ARITHMETIC
ARITHMETIC
ARITHMETIC
Comparing Quantities:
Percentage and
Discount
Simple and Compound
Interest
Compound interest
Extension of profit and
loss,
discount partnership,
continuing of
inverse proportion,
time and work
and application.
Percentages
Direct and Inverse
Proportions:
Clock mathematics
Relative speed, angular
Direct and Inverse
Proportions
Introduction to
geometry
Lines and angles
Points , lines ,plane
,angle ,polygons and
Circles ,Pair of lines.
Coordinate geometry
Introduction to Graphs:
Graphs ,Linear Graphs
Mensuration:
( Perimeter and area of
plane figures(triangle
,circle ,ring and the
combination)
Areas of triangles and
parallelograms.
Surface Area of Solids
Volume and surface
area of Solids
Cube ,cuboids
,cylinder ,cone ,cube
,pyramid
Mensuration:
Visualising Solid
Shapes: Visualising
Solid Shapes
Area of Quadrilaterals
and Polygons.
Surface Area of Solids
Volume of Solids
speed
Introduction to
geometry
Definitions and
postulates
Lines and angles
Vertically opposite
angles ,alternate
angles, exterior angle
is sum of opposite
interior angles
Coordinate geometry
Co-ordinates of point
Plotting of points in
co-ordinate axes
(Cartesian place)
Linking linear
equation in two
variables of the type
(ax + by + c = 0) in the
Cartesian co-ordinate
system.
Graphical solutions
system of linear
equation in two
variables.The line
segments which can be
drawn from a point not
on it, the perpendicular
distance is shortest
Mensuration
Areas
1. Area of triangle
using Heron’s
formula (without
proof) and its
2. Relation between
sides and angles
of a triangle (300, 600,
900)
(450, 450, 900)
3. Area of equilateral
triangle
4. Application in
finding the area of a
quadrilateral
Area of irregular field
(Survey).
5. Surface area of
Cube and Cuboids
6. Concept of volume,
measurements
Coordinate geometry
Slope ,equation of line
Introduction of
modulus
Graphs
Polygons
Triangles & Polygons
SAS, SSS, ASA, RHS
properties of
congruence.
Sides are equal then
opposite angles are
equal
The sum of opposite
sides is greater than
third side.
Line segment joining
midpoints of two sides
is half of third side.
Quadrilaterals
Kinds of
Quadrilaterals
Some Special
Parallelograms
Circles and semicircle
Definition of chord
secant
Practical Geometry:
Construction of
Quadrilaterals
Understanding
Quadrilaterals:
Polygons
Kinds of Quadrilaterals
Some Special
Parallelograms
of volume using a
basic unit
Volume of a cube and
cuboids
7. Volume and
capacity
(Measurement of
capacity)
Triangles & Polygons
SAS, SSS, ASA, RHS
properties of
congruence.
Sides are equal then
opposite angles are
equal
The sum of opposite
sides is greater than
third side.
Line segment joining
midpoints of two sides
is half of third side.
Circles
Equal chords of
a circle subtend equal
angles at the center
and its converse. The
perpendicular from
the center of a circle to
a cord bisects the
chord and conversely,
the line drawn through
the center of a circle to
bisect a chord is
Perpendicular to the
chord. There is one
and only one circle
passing through three
given non-collinear
points.Equal chords of
a circle (or of
congruent circles) are
equidistant from the
centre(s) and
Conversely.
The angle subtended
by an arc at the center
is double the angle
Pythagoras theorem
Constructions
Construction of
triangles
,quadrilaterals, lines
,triangles , rhombus
subtended by it at any
point on the remaining
part of the circle
Angles in the same
Segment of a circle are
equal. If a line segment
joining two points
subtends equal angle at
two other points lying
on the same side of the
line containing the
segment, the four
points lie on
a circle. The sum of
the either pair of the
opposite angles of a
cyclic quadrilateral is
1800 and its Converse.
Constructions
Circum circle, in circle
excircle,
medium, orthocenter,
centroide of a
triangles