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Methodical recommendation:

Theory

Number Name Description
1. Recall the concept of rational numbers Know about number system.
2. Denses property of rational numbers Learn the method to find the rational numbers between two rational numbers.
3. More about rationals Let's discuss more facts about rational numbers.
4. Irrational numbers Let's learn about irrational numbers.
5. How to represent irrational number in number line Learn the procedure to locate the irrational in number line.
6. General procedure to construct square root Learn to construct the square root spiral.
7. Operations on irrational numbers Let us understand the properties of irrational numbers.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice question I Other easy 2 m. Try to answer the given textbook questions.
2. Multiple choice question II Other easy 2 m. This exercise is to check your knowledge in rational numbers and irrational numbers.
3. Two marks example problems Other medium 3 m. In this exercise, try to find the rational numbers between two rationals.
4. Two marks exercise problems I Other medium 4 m. Choose the correct answers for the given questions based on rationals.
5. Two marks exercise problems II Other medium 0 m. In this exercise, try to find the rational numbers between the given rational numbers.
6. Two marks exercise problems III Other medium 0 m. In this exercise, try to find the rational numbers between two integers.

Practice Questions

Number Name Type Difficulty Marks Description
1. Choose the cooresponding coordinate Other easy 3 m. Use the real line to find the correcting coordinate.
2. Say true or false Other easy 4 m. Check your understanding level of the concept with the help of provided statements.
3. Locating a point in number line Other easy 2 m. Check your understand on ''locating irrationals on number line'.
4. Classify rational or irrational number Other medium 4 m. Check whether the provided numbers are rational or irrational
5. Difference of two numbers in the expression Other medium 3 m. Predict the provided expression forms irrational, rational or integer.
6. Find a rational number between two numbers Other medium 3 m. Apply the concept of average method to find a rational number in between two rational numbers.
7. Test the expression is rational or irrational Other medium 3 m. Apply the concept of operations on irrational numbers and select the suitable choice.
8. Determine the rational number between two numbers Other hard 4 m. Practice a problem on finding the rational numbers between two rational number.
9. Determine the first five rational number between two numbers Other hard 7.5 m. Apply the concept of same denominator method to find the rational numbers between two rational number.
10. Determine the five rational numbers using two rational numbers Other hard 9 m. Practice the five rational number using the given two rational numbers.
11. Calculate the five rational numbers between two rational numbers Other hard 8 m. Practice the five rational number between the given two rational numbers.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Find three rationals between the rationals Other medium 2 m. Choose the correct answers for the given questions based on rationals.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Reduce the irrational expression to rational Other easy 2 m. Practice problems on rational and irrational numbers.
2. Represent the irrational number on the number line Other medium 5 m. Draw number line and represent the irrational number in it.
3. Represent the irrational number on the number line Other medium 6 m. Draw number line and represent the irrational number in it.
4. Represent the irrational number on the number line Other hard 8 m. Draw number line and represent the irrational number in it.
5. Evaluate some rational numbers Other hard 4 m. Practice a problem on finding the some rational numbers between two rational numbers.
6. Represent the irrational number on the number line Other hard 10 m. Draw number line and represent the irrational number in it.
7. Rational number in number line Other medium 2 m. Choose the correct answers for the given questions based on rationals.
8. Find three rational numbers Other medium 2 m. Choose the correct answers for the given questions based on rationals.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 medium 18 m.
2. Homework II 00:20:00 medium 8 m.
3. Homework III 00:20:00 medium 12 m.
4. Homework IV 00:20:00 medium 14 m.
5. Revision test I 00:20:00 medium 9 m.
6. Revision test II 00:20:00 medium 12.5 m.
7. Revision test III 00:20:00 medium 16 m.
8. Periodic Assessment 00:10:00 medium 4 m. PA 1 - Rational and Irrational numbers