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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction to factor theorem | Description Know and understand the theorem of the factor with a given example. |
| Number 2. | Name Quadratic factorization using splitting of middle term | Description Start understanding quadratic factorization using middle term splitting. |
| Number 3. | Name Factorising the cubic polynomial | Description Begin to understand the cubic polynomial using the middle term method of splitting. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Evaluate which of the following polynomial has (x+1) as a factor | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Practise to check whether (x+1) is a factor for the given polynomial. |
| Number 2. | Name Predict g(x) is a factor of p(x) | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Practise and find whether p(x) is a factor of g(x) or not. |
| Number 3. | Name Factorise the quadratic polynomial | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Practise to perform and find quadratic polynomial. |
| Number 4. | Name Find the value of k, if (x-a) is a factor of p(x) | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Apply the factor theorem and hence find the value of 'k'. |
| Number 5. | Name Determine whether '(x+1)' is a factor of given polynomial | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description Practise to find the whether 'x+1' is a factor of given polynomial or not. |
| Number 6. | Name Check whether g(x) is a factor of p(x) | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Try using factor theorem to determine if g(x) is a factor of p(x). |
| Number 7. | Name Calculate the value of 'k' | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description Use factor theorem to determine the value of 'k'. |
| Number 8. | Name Evaluate the value of 'k' | Type 3rd type - analysis | Difficulty medium | Marks 4 m. | Description Analysing the question and find the unknown value 'k'. |
| Number 9. | Name Factorise the cubic polynomial | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description Use the splitting the middle term method to perform the cubic polynomial. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the value of 'k' , if (x-1) is a factor of p(x) | Type Other | Difficulty hard | Marks 4 m. | Description Try finding the value of 'k', if (x-1) is a factor of p(x). |
| Number 2. | Name Factorise the quadratic polynomial | Type Other | Difficulty medium | Marks 4 m. | Description Begin to use quadratic polynomial factarisation. |
| Number 3. | Name Determine the value of 'k' | Type Other | Difficulty medium | Marks 3 m. | Description Try using the factor theorem to predict the unknown value of 'k'. |
| Number 4. | Name Factorise the cubic polynomial | Type Other | Difficulty hard | Marks 4 m. | Description Use the splitting the middle term method to perform the cubic polynomial. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test | Recomended time: 00:15:00 | Difficulty medium | Marks 9 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 2. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 14 m. | Description |
| Number 3. | Name Progress test | Recomended time: 00:20:00 | Difficulty medium | Marks 12 m. | Description |
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