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 = _____________

Design of Question Paper in Mathematics for Class X

Time : Three hours Max.Marks : 80

Weightage and distribution of marks over different dimensions of the question shall be as follows :

A. Weightage to content units


1.
Number systems 04
2.
Algebra 20
3.
Trignometry 12
4.
Coordinate Geometry 08
5.
Geometry 16
6.
Mensuration 10
7.
Statistics & Probability 10


Total 80


Scheme of Options

All questions are compulsory. There is no overall choice in the question paper. However, internal choice has been provided in one question of two marks each, three questions of three marks each and two questions of six marks each.



Weightage to difficulty level of Questions

S.No. Estimated difficulty level of questions Percentage of marks

1. Easy 15
2. Average 70
3. Difficult 15

My First Experience

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