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Methodical recommendation:

Theory

Number Name Description
1. Recall the concept of rational numbers Know about number system.
2. More about rationals Let's discuss more facts about rational numbers.
3. Irrational numbers Let's learn about irrational numbers.
4. How to represent irrational number in number line Learn the procedure to locate the irrational in number line.
5. Decimal expansion of real numbers Let us understand the decimal expansion of real numbers.
6. Decimal expansion of rational Learn to convert rationals to fractional form.
7. Decimal expansion of irrational More about decimal expansion of irrational numbers.
8. Operations on irrational numbers Let us understand the properties of irrational numbers.
9. Finding irrational numbers between two numbers Learn the procedure to construct irrational numbers.

Practice Questions

Number Name Type Difficulty Marks Description
1. Say true or false 1st type - receptive easy 3 m. Check your understanding level of the concept with the help of provided statements.
2. Calculate the decimal expansion 2nd type - interpretation easy 3 m. Practice problems on rational and irrational numbers.
3. Rational or irrational number 2nd type - interpretation easy 3 m. Check whether the provided numbers are rational or irrational
4. Difference of two numbers in the expression 1st type - receptive easy 3 m. Predict the provided expression forms irrational, rational or integer.
5. Find a rational number between two numbers 1st type - receptive easy 3 m. Apply the concept of average method to find a rational number in between two rational numbers.
6. Locating a point in number line 2nd type - interpretation easy 2 m. Check your understand on ''locating irrationals on number line'.
7. Test the expression is rational or irrational 2nd type - interpretation easy 3 m. Apply the concept of operations on irrational numbers and select the suitable choice.
8. Determine the rational number between two numbers 2nd type - interpretation medium 4 m. Practice a problem on finding the rational numbers between two rational number.
9. Modify the decimal expression in fraction form 2nd type - interpretation medium 4 m. Convert the decimal expression of rational number in fraction form.
10. Express the decimal number in rational form 2nd type - interpretation medium 4 m. Convert the provided decimal expansion into fraction.
11. Switch the decimal expression in fraction form 2nd type - interpretation medium 4 m. Convert the decimal expression of rational number in fraction form.
12. Write the decimal expression in fraction form 3rd type - analysis hard 4 m. Convert the decimal expression of rational number in fraction form.
13. Transform the decimal expression in fraction form 3rd type - analysis hard 4 m. Convert the decimal expression of rational number in fraction form.
14. Transform the decimal expression in fraction form 3rd type - analysis hard 5 m. Convert the decimal expression of rational number in fraction form.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Evaluate some rational numbers Other hard 4 m. Practice a problem on finding the some rational numbers between two rational 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 hard 5 m. Draw number line and represent the irrational number in it.
4. Represent the irrational number on the number line Other hard 5 m. Draw number line and represent the irrational number in it.
5. Find an irrational number between two numbers Other hard 5 m. Practice a problem on construct irrationals between two numbers.
6. Write an irrational number between two numbers Other hard 5 m. Practice a problem on constructing irrationals between two numbers.
7. Decimal expansion of rational numbers Other medium 2 m. Practice a task related to the decimal expansion of rational numbers.
8. Identify the type of decimal number Other medium 2 m. Practice a task of identifying the type of decimal number.
9. Finding rational numbers between two numbers Other medium 5 m. Practice a problem of finding a rational numbers between two numbers.
10. Finding rational numbers between two rational numbers Other medium 5 m. Practice to find rational numbers between two rational numbers.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test 00:15:00 medium 9 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework 00:20:00 medium 12 m.
2. Homework 00:20:00 hard 13 m.
3. Homework 00:20:00 hard 11 m.
4. Progress test 00:20:00 medium 12 m.
5. Progress test 00:20:00 hard 17 m.