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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to linear equations in two variables. |
| 2. | Pair of linear equations in two variables | Learn the concept of pair of linear equations in two variables. |
| 3. | Graphical Method of Solution of a Pair of Linear Equations | Learn the concept of graphical method of solution of a pair of linear equations. |
| 4. | Special terminology | Let us learn some special terminology about the lines. |
| 5. | Existence of solutions | Learn the concept of how to find whether the solution exist for the given pair of linear equations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Verify the consistency and inconsistency of the system | 1st type - receptive | easy | 3 m. | Check the consistency and inconsistency of the given system of equations and answer the questions. |
| 2. | Check whether the system has a unique solution | 1st type - receptive | easy | 3 m. | Practice a problem to find whether the given system of equations has a unique solution. |
| 3. | Choose the solution | 1st type - receptive | easy | 3 m. | Select the suitable choice for the given equations. |
| 4. | Does the equation have coincident lines? | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of coincident lines. |
| 5. | Choose the correct answer for the variable having unique solution | 2nd type - interpretation | medium | 4 m. | Find the value of the variable if the system has a unique solution. |
| 6. | Find the value of the variable for equations having no solution | 2nd type - interpretation | medium | 4 m. | Try to find the value of the variable. |
| 7. | Say true or false whether the equations are consistent or inconsistent | 2nd type - interpretation | medium | 4 m. | Check whether the given statement is correct or not. |
| 8. | Find the value of the variable for equations having infinitely many solutions | 2nd type - interpretation | medium | 4 m. | Try to find the value of the variable if the system has infinitely many number of solutions. |
| 9. | Determine the value of 'a' and 'b' | 3rd type - analysis | hard | 6 m. | Practice a problem to find the value of the variable. |
| 10. | Choose the condition for consistency and solve the problem | 2nd type - interpretation | hard | 6 m. | Work on the problem and select the correct option. |
| 11. | Case study question: Frame the system and predict the results | 3rd type - analysis | hard | 5 m. | Apply the concept and answer the given questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Verify the consistency of the graphs | Other | easy | 2 m. | Check whether the given statement is correct or not. |
| 2. | Assertion and Reason: System of linear equations | Other | medium | 4 m. | Select the suitable choice for the given statements. |
| 3. | Find the other equation | Other | medium | 6 m. | Check your understanding skills in the concept of consistency and inconsistency of linear equations in two variables. |
| 4. | Calculate the cost | Other | hard | 6 m. | Practice a problem to solve the linear equations using graphical method. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | easy | 9 m. | |
| 2. | Training test II | 00:15:00 | medium | 12 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | medium | 12 m. | |
| 2. | Homework II | 00:20:00 | medium | 14 m. | |
| 3. | Progress test | 00:20:00 | hard | 17 m. |
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