CLASS 09 NCERT ACTIVITIES

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.

12. To find a hidden picture by plotting and joining the various points with given coordinates in a plane.

13. (i)       the vertically opposite angles are equal (ii)        the sum of two adjacent angles is 180º (iii)      the sum of all the four angles is 360º.

14. To verify experimentally the different criteria for congruency of triangles using triangle cut-outs.

15. To verify that the sum of the angles of a triangle is 180º.

16. To verify exterior angle property of a triangle.

17. To verify experimentally that the sum of the angles of a quadrilateral is 360º.

 18. To verify experimentally that in a triangle, the longer side has the greater angle opposite to it.

19. To verify experimentally that the parallelograms on the same base and between same parallels are equal in area.

20. To verify that the triangles on the same base and between the same parallels are equal in area.

21. To verify that the ratio of the areas of a parallelogram and a triangle on the same base and between the same parallels is 2:1.

22.To verify that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

23. To verify that the angles in the same segment of a circle are equal.

24.To verify that the opposite angles of a cyclic quadrilateral are supplementary.

25. To find the formula for the area of a trapezium experimentally.

26.To form a cube and find the formula for its surface area experimentally.

27. To form a cuboid and find the formula for its surface area experimentally.

28. To form a cone from a sector of a circle and to find the formula for its curved surface area

29. To find the relationship among the volumes of a right circular cone, a hemisphere and a right circular cylinder of equal radii and equal heights.

30. To find a formula for the curved surface area  of  a  right  circular  cylinder,experimentally.

31. To obtain the formula for the surface area of a sphere.

32. To draw histograms for classes of equal widths and varying widths.

33. To find experimental probability of unit’s digits of telephone numbers listed on a page selected at random of a telephone directory.

34.To find experimental probability of each outcome of a die when it is thrown a large number of times.

Class 09 PROJECT 1  ARYABHAT— THE MATHEMATICIAN AND ASTRONOMER

Class 09 PROJECT 02  SURFACE AREAS AND VOLUMES OF CUBOIDS

Class 09  PROJECT 03   GOLDEN RECTANGLE AND GOLDEN RATIO

Class 09  PROJECT 04  π - WORLD'S MOST MYSTERIOUS NUMBER

List of Projects