CBSE Class 4 Maths Syllabus

Geometry                                                   (10 hrs.)

SHAPES & SPATIAL UNDERSTANDING

•      Develops and uses vocabulary of spatial relationship (Top, Bottom, On, Under, Inside, Outside, Above, Below, Near, Far, Before, After)

SOLIDS AROUND US

•      Collects objects from the surroundings having different sizes and shapes like pebbles, boxes, balls, cones, pipes, etc.

•      Sorts, Classifies and describes the objects on the basis of shapes, and other observable properties.

•      Observes and describes the way shapes affect movements like rolling and sliding.

•      Sorts 2 – D shapes such as flat objects made of card etc.

Numbers                                                    (46 hrs.)

DEVELOPING A SENSE OF NUMBERNESS, COUNTING AND

OPERATIONS OF NUMBERS 1 – 9 AND ZERO

•      Observes object and makes collections of objects.

•      Arranges the collection of objects in order by

–         Matching and

–         One to one correspondence

Geometry                                                   (13 hrs.)

SHAPES & SPATIAL UNDERSTANDING

3-D and 2-D Shapes

•      Observes objects in the environment and gets a qualitative feel for their geometrical attributes.

•      Identifies the basic 3-D shapes such as cuboid, cylinder, cone, sphere by their names.

•      Traces the 2-D outlines of 3-D objects.

•      Observes and identifies these 2-D shapes.

•      Identifies 2-D shapes viz., rectangle, square, triangle, circle by their names.

•      Describes intuitively the properties of these 2-D shapes.

•      Identifies and makes straight lines by folding, straight edged objects, stretched strings and draws free hand and with a ruler.

•      Draws horizontal, vertical and slant lines (free hand).

•      Distinguishes between straight and curved lines.

•      Identifies objects by observing their shadows.

Numbers                                                    (46 hrs.)

•      Reads and writes numerals for numbers up to ninety- nine.

•      Expands a number with respect to place values.

•      Counts and regroups objects into tens and ones.

•      Uses the concept of place value in the comparison of numbers.

Geometry                        (16 hrs.) SHAPES & SPATIAL UNDERSTANDING

•      Creates shapes through paper folding, paper cutting.

•      Identifies 2-D shapes

•      Describes the various 2-D shapes by counting their sides, corners and diagonals.

•      Makes shapes on the dot-grid using straight lines and curves.

•      Creates shapes using tangram pieces.

•      Matches the properties of two 2-D shapes by observing their sides and corners (vertices).

•      Tiles a given region using a tile of a given shape.

•      Distinguishes between shapes that tile and that do not tile.

•      Intuitive idea of a map. Reads simple maps (not necessarily scaled)

•      Draws some 3D-objects.

Numbers                          (42 hrs.) NUMBER SEQUENCE UPTO 1000

•      Reads and writes 3-digit numbers.

•      Expands a number w.r.t. place values.

•      Counts in different ways – starting

from any number.

Geometry                       (16 hrs.) SHAPES & SPATIAL UNDERSTANDING

•      Draws a circle free hand and with compass.

•      Identifies centre, radius and diameter of a circle.

•      Uses Tangrams to create different shapes.

•      Tiles geometrical shapes: using one or two shapes.

•      Chooses a tile among a given number of tiles that can tile a given region both intuitively and experimentally.

•      Explores intuitively the area and perimeter of simple shapes.

•      Makes 4-faced, 5-faced and 6- faced cubes from given nets especially designed for the same.

•      Explores intuitively the reflections through inkblots, paper cutting and paper folding.

•      Reads and draws 3-D objects, making use of the familiarity with the conventions used in this.

•      Draws intuitively the plan, elevation and side view of simple objects.

Numbers                         (40 hrs.) NUMBERS AND OPERATIONS

•      Writes multiplication facts.

•      Writes tables upto 10 × 10.

•      Multiplies two and three digit numbers using lattice algorithm and the standard (column) algorithm.

Geometry                      (16 hrs.) SHAPES & SPATIAL UNDERSTANDING

•      Gets the feel of perspective while drawing a 3-D object in 2-D.

•      Gets the feel of an angle through observation and paper folding.

•      Identifies right angles in the environment.

•      Classifies angles into right, acute and obtuse angles.

•      Represents right angle, acute angle and obtuse angle by drawing and tracing.

•      Explores intuitively rotations and reflections of familiar 2-D shapes.

•      Explores intuitively symmetry in familiar 3-D shapes.

•      Makes the shapes of cubes, cylinders and cones using nets especially designed for this purpose.

Numbers                        (40 hrs.) NUMBERS AND OPERATIONS

•      Finds place value in numbers beyond 1000.

•      Appreciates the role of place value in addition, subtraction and

multiplication algorithms.

•      Counts the number of objects in a collection.

•      Makes collection of objects corresponding to a specific number.

•      Recognises and speaks numbers from 1 to 9.

•      Uses numbers from 1 to 9 in counting and comparison. (Real objects and repeated events like clapping to be used for counting)

•      Reads and writes numerals from 1 to 9.

•      Adds and subtracts using real objects and pictures.

•      Adds and subtracts the numbers using symbols ‘+’ and ‘-’.

•      Approaches zero through the subtraction pattern (such as 3 – 1 = 2, 3 – 2 = 1, 3 – 3 = 0).

NUMBERS FROM (10 – 20)

•      Forms Number sequence from 10 to 20.

•      Counts objects using these numbers.

•      Groups objects into a group of 10s and single objects.

•      Develops the vocabulary of group of ‘tens’ and ‘ones’.

•      Shows the group of tens and ones by drawing.

•      Counts the number of tens and ones in a given number.

•      Writes the numerals for eleven to nineteen.

•      Writes numerals for ten and twenty.

•      Compares numbers upto 20.

ADDITION AND SUBTRACTION (UPTO 20)

•      Adds and subtracts numbers upto 20.

NUMBERS FROM 21 – 99

•      Writes numerals for Twenty-one to Ninety nine.· Groups objects into tens and ones.

•      Draws representation for groups of ten and ones.

•      Groups a number orally into tens and ones.

•      Counts in various ways:

–         Starting from any number.

–         Group counting etc.

•      Arranges numbers upto hundred in ascending and descending order.

•      Forms the greatest and the smallest two digit numbers with and without repetition of given digits.

•      Indicates and identifies the position of an object in a line.

ADDITION AND SUBTRACTION

•      Adds and subtracts two digit numbers by drawing representations of tens and ones without and with regrouping.

•      Adds zero to a number and subtracts zero from a number.

•      Observes the commutative property of addition through patterns.

•      Solves addition, subtraction problems presented through pictures and verbal description.

•      Describes orally the situations that correspond to the given addition and subtraction facts.

•      Estimates the result of addition and subtraction and compares the result with another given number.

PREPARATION FOR MULTIPLICATION AND DIVISION

•      Discussion of situations involving repeated addition and situations involving equal sharing.

•      Activities of making equal groups.

•      Compares numbers.

•      Forms greatest and smallest numbers using given digits.

ADDITION AND SUBTRACTION

•      Adds and subtracts numbers by writing them vertically in the following two cases:

–         without regrouping.

–         with regrouping.

•      Uses the place value in standard algorithm of addition and subtraction.

•      Solves addition and subtraction problems in different situations presented through pictures and stories.

•      Frames problems for addition and subtraction facts.

•      Estimates the sum of, and difference between, two given numbers.

MULTIPLICATION

•      Explains the meaning of multiplication (as repeated addition).

•      Identifies the sign of multiplication.

•      Constructs the multiplication tables of 2, 3, 4, 5 and 10

•      Uses multiplication facts in situations.

•      Multiplies two digit numbers using standard algorithm and Lattice multiplication algorithm.

DIVISION

•      Explains the meaning of division from context of equal grouping and sharing.

•      Relates division with multiplication.

•      Completes division facts:

–         by grouping

–         by using multiplication tables.

•      Divides a given number by another number in various ways such as:

–         by drawing dots.

–         by grouping.

–         by using multiplication facts.

–         by repeated subtraction.

•      Applies the four operations to life situations.

•      Frames word problems.

•      Estimates sums, differences and products of given numbers.

•      Uses informal and standard division algorithms.

•      Explains the meaning of factors and multiples.

MENTAL ARITHMETIC

•      Adds two single digit numbers mentally.

MENTAL ARITHMETIC

•      Adds and subtracts single digit numbers mentally.

•      Adds and subtracts multiples of ten mentally.

•      Identifies common currency notes and coins.

•      Puts together small amounts of money.

•      Identifies currency – notes and coins.

•      Puts together amounts of money not exceeding Rs 50/-.

•      Adds and subtracts small amounts of money mentally.

•      Transacts an amount using 3-4 notes.

Measurement                                             (13 hrs.)

LENGTH

•      Distinguishes between near, far, thin, thick, longer/taller, shorter, high, low.

•      Seriates objects by comparing their length.

Measurement                                              (13 hrs.)

LENGTH

•      Measures lengths & distances along short & long paths using uniform (non-standard) units, extends to longer lengths.

MENTAL ARITHMETIC

•      Adds and subtracts single digit numbers and two digit numbers mentally.

•      Doubles two digit numbers mentally (result not exceeding two digits).

Money                               (5 hrs.)

•      Converts Rupee. to Paise using play money.

•      Adds and subtracts amounts using column addition, and subtraction without regrouping.

•      Makes rate charts and bills.

Measurement                   (21 hrs.) LENGTH

•      Appreciates the need for a standard unit.

•      Measures length using appropriate

MENTAL ARITHMETIC

•      Adds and subtracts multiples of 10 and 100, mentally.

•      Completes multiplication facts by adding partial products, mentally (e.g. 7 × 6 = 5 × 6 + 2 × 6).

FRACTIONAL NUMBERS

•      Identifies half, one fourth and three- fourths of a whole.

1 , 1 , 3

•      Identifies the symbols, 2 4 4 .

1    1

•      Explains the meaning of 2 , 4

3

and 4 .

2

•      Appreciates equivalence of 4 and

1              2    3   4

2 ; and of 2 , 3 , 4 and 1.

Money                              (5 hrs.)

MONEY

•      Converts Rupees to Paise.

•      Adds and subtracts amounts using column addition and subtraction with regrouping.

•      Uses operations to find totals, change, multiple costs and unit cost.

•      Estimates roughly the totals and total cost.

Measurement                 (21 hrs.) LENGTH

•      Relates metre with centimetre;

•      Converts metre into centimetres and vice versa.

MENTAL ARITHMETIC

•      Estimates sums, differences, products and quotients and verifies using approximation.

FRACTIONAL NUMBERS

•      Finds the fractional part of a collection.

•      Compares fractions.

•      Identifies equivalent fractions.

•      Estimates the degree of closeness of a fraction to known fractions

1    1   3

( 2 , 4 , 4 etc.)

•      Uses decimal fractions in the context of units of length and money.

•      Expresses a given fraction in decimal notation and vice versa.

Money                              (5 hrs.)

•      Applies the four operations in solving problems involving money.

Measurement                 (26 hrs.) LENGTH

•      Determines area and perimeter of simple geometrical figures.

•      Applies the four operations in

•      Measures short lengths in terms of non-uniform units (in the context of games e.g. ‘Gilli Danda’ and ‘marble- games’).

•      Estimates distance and length, and verifies using non- uniform units (e.g. hand span etc.)

WEIGHT

•      Compares between heavy and light objects.

Time

•      Distinguishes between events occurring in time using terms -earlier and later.

•      Gets the qualitative feel of long & short duration, of school days v/s holidays.

•      Narrates the sequence of events in a day.

WEIGHT

•      Compares two or more objects by their weight.

•      Appreciates the need for a simple balance.

•      Compares weights of given objects using simple balance.

CAPACITY (VOLUME)

•      Compares and orders containers in terms of internal volume(capacity).

•      Orders given containers as per their capacities on the basis of perception & verifies by pouring out etc.

TIME

•      Gets familiar with the days of the week and months of the year.

•      Gets a feel for sequence of seasons (varying locally).

•      Sequences the events occurring over longer periods in terms of dates/days.

standard units of length by choosing between centimetres. and metres.

•      Estimates the length of given object in standard units and verifies by measuring.

•      Uses a ruler

•      Relates centimetre. and metre.

WEIGHT

•      Weighs objects using non standard Units.

•      Appreciates the conservation of weight.

VOLUME

•      Measures and compares the capacity of different containers in terms of non-standard units.

•      Appreciates the conservation of volume.

TIME

•      Reads a calendar to find a particular day and date.

•      Reads the time correct to the hour.

•      Sequences      the      events chronologically.

•      Solves problems involving length and distances.

•      Estimates length of an object and distance between two given locations.

WEIGHT

•      Weighs objects using a balance and standard units.

•      Determines sums and differences of weights.

•      Estimates the weight of an object and verifies using a balance.

VOLUME

•      Measures volumes of given liquid using containers marked with standard units.

•      Determines sums and differences of volumes.

•      Estimates the volume of a liquid contained in a vessel and verifies by measuring.

TIME

•      Computes the number of weeks in a year.

•      Correlates the number of days in a year with the number of days in each month.

•      Justifies the reason for the need of a leap year.

•      Reads clock time to the nearest hours and minutes.

•      Expresses time, using the terms, ‘a.m.’ and ‘p.m.’

•      Estimates the duration of familiar events.

•      Finds approximate time elapsed

solving problems involving length, weight and volume.

•      Relates commonly used larger and smaller units of length, weight and volume and converts one to the other.

•      Applies simple fractions to quantities.

•      Converts fractional larger unit into complete smaller units.

•      Appreciates volume of a solid body: intuitively and also by informal measurement.

•      Uses addition and subtraction in finding time intervals in simple cases.

Data Handling                                             (6 hrs.)

•      Collects, represents and interprets simple data such as measuring the arm length or circumference of the head using a paper strip.

Patterns                                                     (10 hrs. )

•      Describes sequences of simple patterns found in shapes in the surroundings and in numbers, e.g. stamping activity using fingers and thumb.

•      Completes a given sequence of simple patterns found in shapes in the surroundings and in numbers.

Data Handling                                             (6 hrs.)

•      Collects data through measurement.

•      Represents the data followed by discussion (e.g. heights of children).

•      Collects and presents the data on birthdays.

•      Draws inferences from the data at the appropriate level.

Patterns                                                      (10 hrs.)

•      Observes and extends patterns in sequence of shapes and numbers.

•      Searches for patterns in different ways of splitting a number.

•      Creates block patterns by stamping thumbprints, leaf prints, vegetable prints, etc.

•      Creates patterns of regular shapes by stamping.