UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | To recall what are sets and the practical applications of sets. |
| 2. | Ordered pair | To learn what are ordered pairs. |
| 3. | Cartesian product of two sets | To learn and define the cartesian product of two sets. |
| 4. | Some more illustrations on cartesian products of two sets | To illustrate cartesian product of two sets using graphs. |
| 5. | Cartesian product of three sets | To define and learn the cartesian product of three sets. |
| 6. | Mindmap | This mindmap diagram used to visually organize information into a hierarchy, and showing its relationships. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 1 m. | To find the value of a and b in the ordered pair for the given condition. |
| 2. | Multiple choice questions II | Other | easy | 1 m. | To find the value of n[(AUC)×B] from the given sets. |
| 3. | Multiple choice questions III | Other | easy | 1 m. | To find the value of a and b in the ordered pair for the given condition. |
| 4. | Two marks example problems | Other | medium | 2 m. | Try to find the answers for the given questions. |
| 5. | Two marks exercise problems I | Other | medium | 2 m. | Try to find the answers for the given questions. |
| 6. | Two marks exercise problems II | Other | medium | 2 m. | Try to find the answers for the given questions. |
| 7. | Two marks exercise problems III | Other | medium | 2 m. | Try to answer the given questions. |
| 8. | Two marks exercise problems IV | Other | medium | 2 m. | Try to answer the given questions. |
| 9. | Five marks example problems I | Other | medium | 5 m. | Try to find the answers for the given questions. |
| 10. | Five marks example problems II | Other | medium | 5 m. | Try to find the answers for the given questions. |
| 11. | Five marks example problems III | Other | medium | 5 m. | Try to find the answers for the given questions. |
| 12. | Five mark exercise problems I | Other | medium | 5 m. | Check your understanding skills in the concept of cartesian sets. |
| 13. | Five mark exercise problems II | Other | medium | 5 m. | Check your understanding skills in the concept of cartesian sets. |
| 14. | Five mark exercise problems III | Other | medium | 5 m. | Check your understanding skills in the concept of cartesian sets. |
| 15. | Five mark exercise problems IV | Other | hard | 5 m. | Practice the problem to verify the given cartesian product. |
| 16. | Five mark exercise problems V | Other | hard | 5 m. | Practice the problem to verify the given cartesian product. |
| 17. | Five mark exercise problems VI | Other | hard | 5 m. | Practice the problem to verify the given cartesian product. |
| 18. | Five marks exercise problems VII | Other | hard | 5 m. | Try to answer the given questions. |
| 19. | Five marks exercise problems VIII | Other | hard | 5 m. | Try to answer the given questions. |
| 20. | Five marks exercise problems IX | Other | hard | 5 m. | To verify the given property on cartesian Product. |
| 21. | Five marks exercise problems X | Other | hard | 5 m. | To verify the given property on cartesian Product. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find n(A) | Other | easy | 1 m. | To find the value of n(A) using the given values. |
| 2. | Find n(A×B) | Other | easy | 2 m. | To find the value of n(A× B) from the given sets. |
| 3. | Find the set A and B | Other | easy | 2 m. | To find the sets A and B from the given cartesian product. |
| 4. | Say true or false | Other | medium | 2 m. | To say whether the given statement is true or false for the given condition. |
| 5. | Find (a, b) | Other | medium | 2 m. | To find the value of a and b in the ordered pair for the given condition. |
| 6. | Find 'x' and 'y' | Other | medium | 2 m. | To find the value of 'x' and 'y' from the given ordered pairs by factorisation. |
| 7. | Find the product A×B×C | Other | medium | 2 m. | To practise the cartesian product on three sets. |
| 8. | Find as directed | Other | medium | 2 m. | To find the cartesian products for the given conditions. |
| 9. | Find the cartesian product of two sets | Other | medium | 5 m. | To find the cartesian product from the given sets A and B. |
| 10. | Determine the elements in the set and remaining ordered pairs of the cartesian product | Other | hard | 5 m. | To understand cartesian product better. |
| 11. | Verify the given statement | Other | hard | 5 m. | To verify the given statement using the concept of cartesian product of two sets. |
| 12. | Verify the distributive property over union | Other | hard | 5 m. | To verify the distributive property of cartesian product over union. |
| 13. | Verify the distributive property over intersection | Other | hard | 5 m. | To verify the distributive property of cartesian product over intersection. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find n[(AUC)×B] | Other | easy | 1 m. | To find the value of n[(AUC)×B] from the given sets. |
| 2. | Find the true statement | Other | medium | 1 m. | To say whether the given statement is true or false for the given condition. |
| 3. | Find the truthness of the given statement | Other | hard | 5 m. | To verify the given statement using the concept of cartesian products. |
| 4. | Verify the given statement | Other | hard | 5 m. | To verify the given property on cartesian Product. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the set | Other | easy | 2 m. | To understand cartesian product better. |
| 2. | Find the following | Other | medium | 2 m. | To find the given cartesian products if the sets A and B are given. |
| 3. | Task for you! | Other | medium | 5 m. | To test the observation on the cartesian product of two sets. |
| 4. | Find the correct figure | Other | hard | 5 m. | To find the correct figure which illustrates the given cartesian product. |
| 5. | Find the set A | Other | hard | 2 m. | Try to answer the given questions. |
| 6. | The cartesian product of sets | Other | easy | 1 m. | To find the value of a and b in the ordered pair for the given condition. |
Worksheets
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Worksheet 01: Cartesian Product of Sets | 00:20:00 | medium | 17 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 6 m. | |
| 2. | Homework II | 00:20:00 | medium | 6 m. | |
| 3. | Homework III | 00:25:00 | medium | 9 m. | |
| 4. | Homework IV | 00:25:00 | medium | 10 m. | |
| 5. | Homework V | 00:25:00 | medium | 8 m. | |
| 6. | Revision test I | 00:35:00 | medium | 20 m. | |
| 7. | Revision test II | 00:35:00 | hard | 20 m. | |
| 8. | Revision test III | 00:35:00 | hard | 20 m. | |
| 9. | Revision test IV | 00:40:00 | hard | 25 m. | |
| 10. | Revision test V | 00:40:00 | hard | 20 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 2 m. | PA 1 - Relations |
| 12. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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