PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Methodical recommendation:

Theory

Number Name Description
1. Visualizing real numbers Learn how to locate real numbers on number line.
2. Process of successive magnification Learn the concept of sucessive magnification to locate the number with decimal expansions.
3. Represent recurring decimal number on number line. Learn how to locate recurring and non-terminating decimals on number line.
4. Properties of real numbers Recall the properties of real number and learn how to apply.
5. How to represent square roots of real numbers geometrically Learn the procedure to find the length of square root of positive real number.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice question Other easy 0 m. This exercise is to check your knowledge in Real numbers.
2. Five marks example problems I Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.
3. Five marks example problems II Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.
4. Five marks exercise problems I Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.
5. Five marks exercise problems II Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.
6. Five marks exercise problems III Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.

Practice Questions

Number Name Type Difficulty Marks Description
1. Locate the range of a real number Other easy 2 m. Practice a problem on magnifying the number on the real line.
2. Classify the expressions as rational or irrational Other easy 3 m. Simplify the expression and classify the number.
3. Simplify the expression Other easy 3 m. Apply the suitable identity and simplify the irrational expression.
4. Magnify the number with one decimal place Other medium 4 m. Apply the concept of process of successive magnification and locate the decimal number.
5. Add, multiply the given expressions Other medium 4 m. Use the properties of real numbers to simplify the expressions.
6. Subtract, divide the given expressions Other medium 4 m. Practice a problem on identities and properties of real numbers.
7. Add, subtract and multiply the given expressions Other hard 5 m. Practice to solve opertions on real numbers.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Visual representation of a real number Other hard 0 m. This is a self assessment exercise for visual representation of real numbers.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Determine the value of the irrational expression Other easy 3 m. Apply the identities to simplify the expression
2. Simplify the expression Other medium 4 m. With the help of identities convert the expressions into simpler form.
3. Represent a real number on number line Other hard 5 m. Apply the concept of sucessive magnification and locate the provided decimal expansion.
4. Represent the recurring and non-terminating decimal number on real line Other hard 5 m. With the help of paper represent the provided decimal number on real line by the process of successive magnification.
5. Represent square root of real number geometrically Other hard 5 m. Use the procedure to construct the square root of any positisve real number geometrically to do this work.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 medium 9 m.
2. Homework II 00:20:00 medium 2 m.
3. Homework III 00:20:00 medium 6 m.
4. Revision test I 00:20:00 medium 8 m.
5. Revision test II 00:20:00 medium 9 m.
6. Revision test III 00:20:00 medium 13 m.