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
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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