CBSE Class 4 Syllabus for Mathematics

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.

• 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.

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.

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.

•  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 by (to the nearest hour) forward counting.

•  Computes the number of days between two dates

Data Handling                 (6 hrs.)

•  Collects data and represents in the form of bar graphs;

•  Draws Inferences by discussing with the teacher.

Patterns                            (6 hrs.)

•  Identifies patterns in multiplication and division: multiples of 9,

•  Casts out nines from a given number to check if it is a multiple of nine.

•  Multiplies and divides by 10s, 100s.

•  Identifies geometrical patterns based on symmetry.

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.
• 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.

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.
• Identifies the symbols, 1/2, 1/4, 3/4
• Explains the meaning of 1/2, 1/4 and  3/4
• Appreciates equivalence of 2/4 and 1/2, 2/2, 3/3, 4/4 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.
• 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 by (to the nearest hour) forward counting.
• Computes the number of days between two dates.

Data Handling (6 hrs.)

• Collects data and represents in the form of bar graphs;
• Draws Inferences by discussing with the teacher. Patterns (6 hrs.)
• Identifies patterns in multiplication and division: multiples of 9,
• Casts out nines from a given number to check if it is a multiple of nine.
• Multiplies and divides by 10s, 100s.
• Identifies geometrical patterns based on symmetry.