Mathematics Lab Activity-01 Class IX | Number System

 Maths. Lab Activity-01 Class iX

Mathematics Lab Activities on Number System for class IX students, with complete observation tables, strictly according to the CBSE syllabus.

Chapter - 01 number system

Activity - 01

Objective: 

To construct a square-root spiral.

Material Required

Coloured threads, adhesive, drawing pins, nails, geometry box, sketch pens, marker, a piece of plywood.

Procedure

1. Take a piece of plywood with dimensions 30 cm × 30 cm.
2. Taking 2 cm = 1 unit, draw a line segment AB of length one unit.
3. Construct a perpendicular BX at the line segment AB using set squares (or compasses).
4. From BX, cut off BC = 1 unit. Join AC.
5. Using blue coloured thread (of length equal to AC) and adhesive, fix the thread along AC.
5. With AC as base and using set squares (or compasses), draw CY perpendicular to AC.
6. From CY, cut-off CD = 1 unit and join AD.

Figure 1

8. Fix orange coloured thread (of length equal to AD) along AD with adhesive.
9. With AD as base and using set squares (or compasses), draw DZ perpendicular to AD.
10. From DZ, cut off DE = 1 unit and join AE.
11. Fix green coloured thread (of length equal to AE) along AE with adhesive [see Fig. 1].

Repeat the above process for a sufficient number of times. This is called “a
square root spiral”.

Observations

1. From the figure,

AC² = AB² + BC² = 1² + 1² = 2 or AC = √2 .

AD² = AC² + CD² = 2 + 1 = 3 or AD = √3 .

2. Similarly, we get the other lengths AE, AF, AG, ... as √4, √5 , √6 ....

3. On actual measurement

√2 = AC = 1.414 (approx.),

√3 = AD = 1.732 (approx.),

√4 = AE = 2.000 (approx.),

√5 = AF = 2.236 (approx.)

Result :

With the help of this activity we can demonstrate the square root of any irrational number. 

Application

Through this activity, existence of irrational numbers can be illustrated.

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