Chapter : 1 Number System

Place value (recapitulation and extension.,

Word problems on number operations involving large numbers

Estimation of outcome of number operations.

Introduction to a sense of the largeness (up to 8 digits) and approximation of large numbers

Numbers in Indian and International Systems and their comparison.

Natural numbers and Whole numbers

Seeing patterns, identifying and formulating rules for operations on numbers

Connection of negative numbers in daily life

Representation of negative numbers on number line

Ordering of negative numbers, Integers

Identification of integers on the number line

Operation of addition and subtraction of integers

Addition and subtraction of integers on the number line

Types of sets: Finite/infinite and empty

Revision of what a fraction is

Representation of fractions (pictorially and on number line)

Proper, improper & mixed fractions

Review of the idea of a decimal fraction

Place value in the context of decimal fraction

Inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage).

Chapter : 2 Ratio and Proportion

Difference between fraction and ratio

Proportion as equality of two ratios

Unitary method (with only direct variation implied)

Word problems on ratio and proportions

Idea of percent as fraction with 100 as denominator

Idea of speed and simple daily life problems related to speed, time and distance.

Chapter : 3 Algebra

Generate such patterns with more examples and generalisation

Introduction to unknowns through examples with simple contexts (single operations)

Evaluation of algebraic expressions by substituting a value for the variable

Introduction to linear equation in one variable

Chapter : 4 Geometry

Basic geometrical ideas (2 -D)

Introduction to geometry. Its linkage with and reflection in everyday experiences.

Line, line segment, ray

Open and closed figures

Interior and exterior of closed figures

Curvilinear and linear boundaries

Angle — Vertex, arm, interior and exterior

Triangle — vertices, sides, angles, interior and exterior, altitude and median

Quadrilateral — Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral are to be discussed), interior and exterior of a quadrilateral

Circle — Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior

Understanding Elementary Shapes (2-D and 3-D):

Measure of Line segment

Measure of angles

Pair of lines – Intersecting and perpendicular lines, Parallel lines

Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle

Classification of triangles (on the basis of sides, and of angles)

Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.

Simple polygons (introduction) (Upto octagons regulars as well as non-regular).

Identification of 3-D shapes: Cubes, Cuboids, cylinder, sphere, cone, prism (triangular and square), pyramid (triangular and square), Identification and locating in the surroundings.

Elements of 3-D figures. (Faces, Edges and vertices)

Nets for cube, cuboids, cylinders, cones and tetrahedrons

Observation and identification of 2-D symmetrical objects for reflection symmetry.

Operation of reflection (taking mirror images) of simple 2-D objects

Recognising reflection symmetry (identifying axes).

Constructions (using Straight edge Scale, protractor, compasses)

Drawing of a line segment

Perpendicular bisector

Construction of angles (using protractor).

Angle 60°, 120° (Using Compasses)

Angle bisector- making angles of 30°, 45°, 90° etc. (using compasses)

Angle equal to a given angle (using compass.)

Drawing a line perpendicular to a given line from a point a) on the line b) outside the line

Construction of circle.

Chapter : 5 Mensuration

Concept of perimeter and introduction to area

Introduction and general understanding of perimeter using many shapes

Shapes of different kinds with the same perimeter

Concept of area, Area of a rectangle and a square

Conversion of units (Mass, time, money, and capacity) from to smaller to larger and vice-versa

Counter examples to different misconceptions related to perimeter and area

Perimeter of a rectangle – and its special case – a square.

3D Figures - Cubes and Cuboids

Chapter : 6 Data Handling

Collection of data to examine a hypothesis

Collection and organisation of data - examples of organising it in tally bars and a table

Pictograph- Need for scaling in pictographs interpretation & construction of pictograph

Construction of bar graphs for given data interpreting bar graphs

Mean and median of data not having more than ten observations

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