UPSKILL MATH PLUS

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Methodical recommendation:

Theory

Number Name Description
1. Nature of roots Learn about nature of roots and how to find them.
2. Some example problems based on nature of roots Learn to do some problems based on nature of roots.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the nature of the roots of the quadratic equations 2nd type - interpretation easy 2 m. Practice problem to find the nature of roots of the quadratic equations.
2. Find the discriminant of the quadratic equations 2nd type - interpretation easy 2 m. Practice problem to find the discriminant of the given quadratic equations.
3. Determine the possibility of the given situation 3rd type - analysis easy 2 m. Try to find the possibility of the given situation.
4. Find the discriminant and its nature of roots 2nd type - interpretation medium 4 m. Work on the problem to find the discriminant, and its nature of roots.
5. Find the value of the variable for equal roots 2nd type - interpretation medium 4 m. In this exercise, find the value of the variable for equal roots.
6. Find the value(s) of 'k' for distinct roots of the equation 3rd type - analysis medium 4 m. Work on the problem to find the value(s) of 'k' for distinct roots of the equation.
7. Find the nature of roots and determine them if its real. 2nd type - interpretation medium 3 m. In this exercise, determine the nature of roots, and find them if its real.
8. Pick the correct statement: Nature of roots 3rd type - analysis medium 4 m. In this exercise, pick the correct statement using nature of roots.
9. Find the value of 'p' and the roots of the equation 3rd type - analysis hard 5 m. Work on the problem to find the value of 'p', and the roots of the equation.
10. Find the integers if the situation is possible 3rd type - analysis hard 5 m. In this exercise, find the integers if the situation is possible.
11. Find the possibility of the given situation 3rd type - analysis hard 5 m. Work on the problem to find the possibility of the given situation, if its possible find the length and breadth.
12. Case study: Nature of roots 3rd type - analysis hard 5 m. In this exercise, understand the given situation and answer the following questions.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Obtain the value of the variable 'p' for the quadratic equation Other medium 4 m. Work on the problem to find the value of the variable 'p' for the given equation.
2. Obtain the value(s) of 'k' if the equation has equal roots Other medium 4 m. In this exercise, obtain the value(s) of 'k' if the equation has equal roots.
3. Determine the possibility of the given situation Other hard 5 m. Analyse the problem and find its possibility to create.
4. Prove the equation by nature of its roots Other hard 5 m. Analyse the problem, and prove the given equation by using nature of its roots.
5. Find the roots of quadratic equation Other medium 1 m. To find the nature of the roots of quadratic equation

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test I 00:15:00 medium 8 m.
2. Training test II 00:20:00 medium 9 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 medium 13 m.
2. Homework II 00:25:00 hard 19 m.
3. Progress test 00:20:00 medium 13 m.
4. Periodic Assessment 00:20:00 medium 2 m. PA 2