Nios Class 10th Maths Practical File in English Medium 2022-23

Nios Maths (211) Practical File

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Activity – 1 

Title:- Verification of the identity (a+b)² = a²+2ab+b²

Expected background knowledge:- Area of a square and a rectangle.

Objectives:- After performing this activity the learner will be able to verify and demonstrate the identity (a+b)² = a²+2ab+b²

Materials required:-

(i) Cardboard.

(ii) White chart paper.

(iii) Two glazed papers of different colours, say red and green.


(iv) Pair of scissors.

(v) Gum.

(vi) Coloured ball point pens.

(vii) Pencil and geometrical instruments.




Preparation for the activity:- 

(i) On a white chart paper, draw a square ABCD of side (a+b) units (say a= 7cm, b=4cm) Cut it out and paste it on the cardboard.

(ii) Cut off two rectangles of dimensions a×b (7cm×4cm) from red colour paper and a square of side b (4 cm) from green colour paper.

(iii) Paste these cutouts on the square ABCD as shown in the figure and name them as rectangle EFGD, square FHCG and rectangle KBHF.

Demonstration and Use:- 

In the figure, area of square ABCD = (AB)² = (a+b)² unit² 

Area of square AKFE = (AK)² = a² unit²

Area of rectangle KBHF = (KF×FH)= a×b =ab unit²

From the figure we may observe that:

Area of square ABCD = Area of square AKFE + area of rectangle KBHF + area of square
FHCG + area of rectangle EFGD.

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