Square root of polynomials — methodical recommendation. Mathematics State Board, Class 10.

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Methodical recommendation:

Theory

Number	Name	Description
1.	Introduction	Get introduced to the concept of square root of a polynomial.
2.	Square root by factorization method	Learn the concept of finding the square root of a polynomial by factorization method.
3.	Square root by long division method	Learn how to find the square root of a polynomial by long divison method.

Textbook Questions

Number	Name	Type	Difficulty	Marks	Description
1.	Multiple choice question I	Other	easy	3 m.	Select the suitable choice for the given questions.
2.	Two mark example problems - I	Other	easy	4 m.	Try to find the square root by factorization method.
3.	Two mark example problems - II	Other	easy	4 m.	Try to find the square root of the given expressions.
4.	Two mark exercise problems - I	Other	easy	6 m.	Try to answer the given questions.
5.	Two mark exercise problems - II	Other	medium	4 m.	Try to find the square root of the given polynomial.
6.	Two mark exercise problems - III	Other	medium	4 m.	Try to find the square root of the given polynomial.
7.	Five mark example problems - I	Other	medium	5 m.	Try to find the square root of the given expressions.
8.	Five mark example problems - II	Other	medium	10 m.	Try to find the square root using division method.
9.	Five mark exercise problems - I	Other	medium	10 m.	Try to find the value of a and b using long division method.
10.	Five mark exercise problems - II	Other	hard	10 m.	Try to find the values of m and n using long division method.
11.	Five mark exercise problems - III	Other	hard	20 m.	Try to answer the given questions.

Practice Questions

Number	Name	Type	Difficulty	Marks	Description
1.	Determine the square root of the rational expressions	Other	easy	1 m.	Practice a problem to find the square root of the given rational expression.
2.	Find the square root by factorization method	Other	easy	1 m.	Check your understanding skills in the concept of finding square root by factorization method.
3.	Choose the correct square root by long division method	Other	medium	2 m.	Practice a problem to find the square root of the polynomial by long division method.
4.	Calculate the square root using factorization method	Other	medium	2 m.	Practice a problem to find the square root using factorization method.
5.	Find the values of 'm' and 'n'	Other	hard	5 m.	Practice a problem to find the values of m and n by long division method.

Key Questions for School Exam Preparation

Number	Name	Type	Difficulty	Marks	Description
1.	Choose the correct square root using long division method	Other	medium	5 m.	Select the suitable choice for the given polynomial.
2.	Determine the value of 'a' and 'b'	Other	medium	5 m.	Try to calculate the value of a and b using long diivision method.

Questions for Teacher Use

Number	Name	Type	Difficulty	Marks	Description
1.	Find the square root of the rational expression	Other	easy	1 m.	Check your understanding skills in the concept of square root of the rational expression.
2.	Determine the square root of the polynomial	Other	medium	5 m.	Practice a problem to find the square root of the polynomial by long division method.
3.	Square root	Other	medium	2 m.	Try to find the square root of the given polynomial.

Periodic assessments

Number	Name	Recomended time:	Difficulty	Marks	Description
1.	Homework I	00:15:00	easy	7 m.
2.	Homework II	00:15:00	easy	11 m.
3.	Homework III	00:20:00	medium	14 m.
4.	Revision test I	00:25:00	medium	15 m.
5.	Revision test II	00:30:00	medium	20 m.
6.	Revision test III	00:45:00	hard	40 m.
7.	Periodic Assessment	00:10:00	medium	2 m.

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