Class 01 - 08 NCERT ACTIVITIES
Class 01-05 NCERT Activities
ACTIVITY 1 To add two one digit numbers
ACTIVITY 2 To develop the sense of estimation in addition nd subtraction of numbers
ACTIVITY 3 To understand tens and ones
ACTIVITY 4 To explore even and odd numbers in aplayful manner
ACTIVITY 5 To form two digit numbers from any two digits and to compare them
ACTIVITY 6 To perform addition and subtraction using even and odd numbers
ACTIVITY 7 To add and subtract two digit numbers with carrying
ACTIVITY 8 To form three digit numbers using digits
ACTIVITY 9 To develop a sense of grouping
ACTIVITY 10 To do multiplication of numbers using concrete objects
ACTIVITY 11 To understand division by grouping
ACTIVITY 12 To make a tangram and to form different shapes using its pieces
ACTIVITY 13 To learn number operations in a known context
ACTIVITY 14 To conver expanded form a number into its usual form
ACTIVITY 15 To collect, display and interpret data
ACTIVITY 16 To find the multiples of numbers 2,34,5,.....9
ACTIVITY 17 To construct a 3 x 3 Magic Square of Magic constant 15
ACTIVITY 18 To construct a 3 x 3 Magic Square of Magic constant 15
ACTIVITY 19 To find multiples and factors
ACTIVITY 20 To find the factors of a given number (say 18)
ACTIVITY 21 To compare the lengths of palms of students
ACTIVITY 22 To make nets of cubes and cuboids using different objects
ACTIVITY 23 To identify 2-D shapes in 3-D shapes
ACTIVITY 24 To complete the pyramids by observing the pattern
ACTIVITY 25 To fill up the empty boxes
ACTIVITY 26 A number puzzle
ACTIVITY 27 A cross number game
ACTIVITY 27 Some shortcut methods of calculation
Suggested list of projects
1. Number patterns
2. Numerals used presently in different languages
3. About numerals used in ancient times
4. Different ways of multiplying numbers ( other than given in the text book)
5. Collection of maps of some localitoes and to discuss important landmarks.
6. Making different shapes using pieces of tangrams
7. Finding tthe day of the week corresponding to a given date ( calendar and its uses)
Class 06-08 NCERT Activities
Class 06 ACTIVITY 1 To verify that addition of whole numbers is commutative
Class 06 ACTIVITY 2 To verify that multiplication of whole numbers is commutative
Class 06 ACTIVITY 3 To verify distributive property of whole numbers
Class 06 ACTIVITY 4 To verify distributive property of multiplication over addition of whole numbers
Class 06 ACTIVITY 5 To find HCF of two numbers
Class 06 ACTIVITY 6 To find LCM of two numbers
Class 06 ACTIVITY 7 To find fractions equivalent to a given fraction
Class 06 ACTIVITY 8 To find the sum of fractions with same denominators (say (1/5) +(3/5)
Class 06 ACTIVITY 9 To find the sum of fractions with different denominators (say 1/4+2/3)
Class 06 ACTIVITY 10 To subtract a smaller fraction from a greater fraction with same denominators (say 4/7-2/7)
Class 06 ACTIVITY 11 To subtract a smaller fraction from a greater fraction with different denominators (say 5/7-2/3)
Class 06 ACTIVITY 12 To add integers
Class 06 ACTIVITY 13 To subtract integers
Class 06 ACTIVITY 14 Addition of decimals
Class 06 ACTIVITY 15 To construct a 4 x 4 Magic Square of Magic constant 34
Class 06 ACTIVITY 16 To form various polygons by paper folding and to identify convex and concave polygons
Class 06 ACTIVITY 17 To obtain areas of different geometric figures using a geoboard and verify the results using known formulas
Class 06 ACTIVITY 18 To establish the fact that triangle is the most rigid figure
Class 06 ACTIVITY 19 To represent a decimal number using a grid paper
Class 06 ACTIVITY 20 To make a protractor by paper folding
Class 06 ACTIVITY 21 To obtain angle bisector of an angle by paper folding
Class 06 ACTIVITY 22 To make a parallelogram, rectangle,square and trapezium using set squares
Class 06 ACTIVITY 23 To draw a perpendicualr toa line from a point not on it, by paper folding
Class 06 ACTIVITY 24 To obtain formula for the area of a rectangle
Class 06 ACTIVITY 25 To obtain the perpendicular bisector of a line segment by paper folding
Class 06 ACTIVITY 26 To find the lines of symmetry of a figure(say, a rectangle) by paper folding
Class 06 ACTIVITY 27 To see that shapes having equal areas may not have equal perimeters
Class 06 ACTIVITY 27 Some shortcut methods of calculation
Class 07 ACTIVITY 28 To multiply a fraction by a number ( say, (3/4) x 7 )
Class 07 ACTIVITY 29 To divide integers using unit squares of different colours
Class 07 ACTIVITY 30 To explain SAS criterion for congruency of two triangles
Class 07 ACTIVITY 31 To explain the SSS criterion for congruency of two triangles
Class 07 ACTIVITY 32 To explain the ASA criterion for congruency of two triangles
Class 07 ACTIVITY 33 To explain the RHS criterion for congruency of two right triangles
Class 07 ACTIVITY 34 To verify that an isosceles triangle, angles opposite equal sides are equal
Class 07 ACTIVITY 35 To multiply two fractions (say (3/4) x (5/6))
Class 07 ACTIVITY 36 To divide a fraction by another fraction ( say , (2/3) ÷(1/6))
Class 07 ACTIVITY 37 To divide a fraction by a natural number ( say , (1/3) ÷(4))
Class 07 ACTIVITY 38 To multiply integers using unit squares of different colours
Class 07 ACTIVITY 39 To divide a natural number by a fraction
Class 07 ACTIVITY 40 To divide a mixed fraction by a proper fraction ( say ,13⁄4 ÷ 1⁄4 )
Class 07 ACTIVITY 41 To multiply two decimals ( say 0.3 and 0.4) using a grid
Class 07 ACTIVITY 42 To find the value of a^n ( where a and n are natural numbers) using paper folding
Class 07 ACTIVITY 43 To verify exterior angle property of a triangle
Class 07 ACTIVITY 44 To verify that the sum of any two sides of a triangle is always greater than the third side
Class 07 ACTIVITY 45 To verify that in atriangle sides opposite equal angles are equal
Class 07 ACTIVITY 46 To draw altitudes of a triangle using paper folding
Class 07 ACTIVITY 47 To find the ratio of circumference and diameter of a circle
Class 07 ACTIVITY 48 To understand the meaning of less likely and more likely of the outcomes of an experiment
Class 07 ACTIVITY 49 To verify that congruent triangles have equal area but two triangles with equal areas may not be congruent
Class 07 ACTIVITY 50 To verify that when two lines intersect, vertically opposite angles are equal
Class 07 ACTIVITY 51 To find the order of rotational symmetry of a given figure
Class 07 ACTIVITY 52 To obtain a formula for the area of a circle
Class 07 ACTIVITY 53 To verify that vertically opposite angles are equal
Class 07 ACTIVITY 54 To add two algebraic expressions (polynomials) using different strips of cardboard
Class 07 ACTIVITY 55 To subtract a polynomial from another polynomial(for example, (2x^2+5x-3)-(x^2-2x+4)
Class 07 ACTIVITY 56 To collect data and represent this through a bargraph
Class 07 ACTIVITY 57 To verify that a minimum of three sides are required to onstruct a polygon.
Class 07 ACTIVITY 58 To make medians of a triangle by paper folding
Class 07 ACTIVITY 59 To obtain a formula for area of a rhombus
Class 07 ACTIVITY 60 To verify Pythagoras theorem for any right triangle
Class 07 ACTIVITY 61 To verify Pythagoras theorem using a grid paper
Class 07 ACTIVITY 62 To verify Pythagoras theorem for an isosceles right triangle
Class 07 ACTIVITY 63 To verify Pythagoras theorem for any right triangle with one angle 30°
Class 07 ACTIVITY 64 To verify that if two parallel lines are intersected by a transversal, then the pairs of corresponding angles are equal.
the pairs of alternate interior angles are equal.
the pairs of interior angles on the same side of the transversal are supplementary.
Class 07 ACTIVITY 65 To verify that the sum of three angles of a triangle is 180°
Class 07 ACTIVITY 66 to obtain formula for the area of a parallelogram
Class 07 ACTIVITY 67 To make a rhombus by paper folding and cutting
Class 07 ACTIVITY 68 To make a rectangle by paper folding
Class 07 ACTIVITY 69 To make a square by paper folding
Class 07 ACTIVITY 70 To obtain a parallelogram by paper folding
Class 08 ACTIVITY 71 To draw regular polygon using circles
Class 08 ACTIVITY 72 To make a kite by paper folding and cutting
Class 08 ACTIVITY 73 To verify that the sum of four angles of quadrilateral is 360°
Class 08 ACTIVITY 74 To verify that sum of exterior angles of a triangle and quadrilateral taken in order is 360° or four right angles.
Class 08 ACTIVITY 75 To make different types of prisms and pyramids and verifying Euler's Formula
Class 08 ACTIVITY 76 To verify the algebraic identity : (a+b)^2 = a^2+2ab+b^2
Class 08 ACTIVITY 77 To verify the algebraic identity : (a-b)^2 = a^2-2ab+b^2
Class 08 ACTIVITY 78 To verify the algebraic identity : a^2 - b^2 = (a+b)(a-b)
Class 08 ACTIVITY 79 To obtain a formula for the area of a trapezium
Class 08 ACTIVITY 80 To form a cube and obtain a formula for its surface area
Class 08 ACTIVITY 81 To form a cuboid and obtain a formula for its surface area
Class 08 ACTIVITY 82 To obtain a formula for finding the volume of a cuboid
Class 08 ACTIVITY 83 To establi8h a formula for the volume of a right circular cylinder
Class 08 ACTIVITY 84 To obtain a formula for the Curved surface area of a right circular cylinder
Class 08 ACTIVITY 85 To verify the opposite sides of a Parallelogram are equal
Class 08 ACTIVITY 86 To verify that adjacent angles of a parallelogram are supplemenatry
Class 08 ACTIVITY 87 To verify that the diagonals of a parallelogram bisect each other.
Class 08 ACTIVITY 88 To multiply two linear algebraic expressions (polynomials) using different strips of cardboard
Class 08 ACTIVITY 89 To verify that opposite angles of a parallelogram are equal
Class 08 ACTIVITY 90 To factorise a polynomial, say (2x^2+4x)
Class 08 ACTIVITY 91 To factorise a polynomial, say (x^2+4x+3)
Class 08 ACTIVITY 92 To solve a linear equation, say (2x+3=5)
Class 08 ACTIVITY 93 To sketch a cube on an isometric dot paper and also to draw its oblique sketch on the square paper
Class 08 Project 1 [PERIMETERS AND AREAS OF RECTANGLES]
Class 08 Project 2 Method of calculate value of pi
Suggested List of Projects
1. About an Indian mathematician and his/her contributions to mathematics.
2. Verification of Pythagoras theorem in different ways.
3. Magic squares: 3 x 3, 4 x 4, and 5 x 5.
4. Congruent shapes.
5. Exploring Pythagorean Triplets.
6. Drawing map of your school/locality,
7. Collection of data and its pictorial representation in different ways.
8.Decimal system versus other number systems with base 5, 8 and 2.
9. Divisibility Tests with special reference to 7, 11 and 13.
10. Verification of Euler's formula for different 3 D shapes (polyhedra).
11. Application of direct and inverse proportions in day to day life.
12.Use of double bar graph in different situations.
13. Hardy Ramanujan Numbers.
14. Use of algebraic identities in solving problems.
15. Areas of different polygons.
16. Graphs in day to day life.
1. About an Indian mathematician and his/her contributions to mathematics.
2. Verification of Pythagoras theorem in different ways.
3. Magic squares: 3 x 3, 4 x 4, and 5 x 5.
4. Congruent shapes.
5. Exploring Pythagorean Triplets.
6. Drawing map of your school/locality,
7. Collection of data and its pictorial representation in different ways.
8.Decimal system versus other number systems with base 5, 8 and 2.
9. Divisibility Tests with special reference to 7, 11 and 13.
10. Verification of Euler's formula for different 3 D shapes (polyhedra).
11. Application of direct and inverse proportions in day to day life.
12.Use of double bar graph in different situations.
13. Hardy Ramanujan Numbers.
14. Use of algebraic identities in solving problems.
15. Areas of different polygons.
16. Graphs in day to day life.
CLASS 09 NCERT ACTIVITIES & PROJECTS
1. To construct a square-root spiral.
2. To represent some irrational numbers on the number line.
3. To verify the algebraic identity : (a + b)2 = a2 + 2ab + b2
4.To verify the algebraic identity :(a – b)2 = a2 – 2ab + b2
5. To verify the algebraic identity :a2 – b2 = (a + b)(a – b)
6. To verify the algebraic identity :(a+b+c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
7.To verify the algebraic identity :(a+b)3 = a3 + b3 + 3a2b + 3ab2
8. To verify the algebraic identity (a – b)3 = a3 – b3 – 3(a – b)ab
9. To verify the algebraic identity : a3 + b3 = (a + b) (a2 – ab + b2)
10.Class 09 To verify the algebraic identity :a3 – b3 = (a – b)(a2 + ab + b2)
11. To find the values of abscissae and ordinates of various points given in a cartesian plane.
LIST OF PROJECTS
1. To develop Heron's formulae for area of a triangle.
2. Story of p.
3. Development of Number Systems with their needs.
4. Chronology of Indian Mathematicians with their contributions.
5. Chronological development of solution of a quadratic equations.
6. Development of Formula for the area of a cyclic quadrilateral.
7. Pythagoras Theorem-Proofs other than given in the present textbook.
8. Extensions of Pythagoras Theorem.
9. With rectangle of given perimeter finding the one with a maximum area and with rectangle of given area, finding the one with least perimeter.
10. Knowledge and classification of solid figures with respect to surface areas and volumes.
11. Sum of the exterior angles of a polygon taken in an order.
12. Generation of Pythagorean triplets.
13. Magic squares.
14. With cuboids of given surface area, finding the one with maximum volume and with cuboids of given volumes finding one with least surface area.
15. Mathematical designs and patterns.
16. Indian Mathematicians and their contibutions.
17. To prepare a list of quotations on mathematics.
18. Ramanujan number (1729)
19. Mathematical Crosswords
20. Application of Geometry in day-to-day life
21. Application of Algebra in day-to-day life.
22. Application of Mensuration in day-to-day life.
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