Activity

Aim :
To interpret the factors of a quadratic polynomial of the type x^2 + bx + c using paper grids, strips and slips

Material Required :
Coloured Paper, Geometry Box, Fevistick



Procedure:
Given Equation x^2 + 5x + 6
To represent this we need 1 square tile representing x^2, 5 tiles representing x and 6tiles representing 1.

By spliting the middle term of the equation we get the expression x^2 + 3x + 2x + 6

Place a square tile of dimension 10 x 10 representing x^2

Add 3 tiles of dimension 10 x 1 to any side of the tile x^2 . The area of the new shape formed x^2 + 3x

Add 2 tiles of dimension 10 x 1 to any side of the previous shape obtained in the previous step . The area of the new shape formed x^2 + 3x + 2x

Add 6 tiles of dimension 1 x 1 to any side of the previous shape obtained in the previous step . The area of the new shape formed x^2 + 3x + 2x + 6

Observation
A rectangle is formed whose length and breadth are x+2 and x+3.

Result
The length and breadth of the rectangle so formed represents the factors of the given polynomial.

Group Activity

Aim :
To find the percentage of the students in a group of students who write faster with their left or right hand.

Material Required:
Graph paper, geometry box

Procedure
Take a paper and a pen
Write a letter or a digit for 15 secs with your right hand
Repeat the same activity for same duration with left hand
Record the data.
Take the number of digits / letters written with right hand as x and the number of letter written by left hand as y.
Plot the co-ordinates (x,y) on the graph paper.
From the graph , count the number of points which are above and below the line y = x.

Observation
When x > y, students write faster with right hand.
When x < y, students write faster with left hand.


Result

Total No. Of students = ________

Number of students who write faster with right hand = ____________

Percentage of students who write faster with right hand = __________

Number of students who write faster with left hand = ____________

Percentage of students who write faster with left hand = _____________