UPSKILL MATH PLUS

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Methodical recommendation:

Theory

Number Name Description
1. Representation of functions Let us learn to represent functions in four different ways.
2. Vertical line test Let us learn to perform vertical line tests on a curve.
3. Types of functions Let us learn the different types of functions.
4. Bijection Let us learn the concept of bijection.
5. Horizontal line test Let us learn to perform a horizontal line test on a curve.
6. Special cases of functions Let us look at a few special cases of functions.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice questions Other easy 3 m. Analyse the problems and choose the correct answers.
2. Two marks example problems I Other medium 4 m. Look the graph and find the answer.
3. Two marks example problems II Other medium 4 m. Analyse the problems and answer the questions.
4. Two marks exercise problems I Other medium 2 m. Try to functions answer the questions using the concept of functions.
5. Five marks example problems I Other hard 5 m. Work on the problems to find the answers using the given information.
6. Five marks example problems II Other hard 15 m. Work on the problem to find the answers using given information.
7. Five marks exercise problems I Other hard 0 m. Problems based on representation and types of functions.
8. Five marks exercise problems II Other hard 0 m. Try to answer the questions using the concept of function.
9. Five marks exercise problems III Other hard 15 m. Find the range of the given function and analyse its type.
10. Five marks exercise problems IV Other hard 10 m. Analyse the problems and answer the questions.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the distance travelled Other easy 2 m. Find the distance travelled using the data given.
2. Find the value of 'r' and 's' Other easy 2 m. Find the value of r and s using the ordered pairs given.
3. Check for the function Other easy 3 m. Analyze the curve and check whether it represents a function or not.
4. Analyse the statements Other easy 1 m. Analyse the statements and verify its correctness.
5. Compute the following Other medium 4 m. Compute the values of the given functions.
6. Classify the functions Other medium 3 m. Classify the special cases of functions.
7. Find the values of the function Other medium 3 m. Find the values of the specified function.
8. Analyse the curves Other medium 4 m. Analyse the given curves using vertical and horizontal line tests.
9. Find 'a' and 'b' Other medium 3 m. Find the unknown values in the ordered pairs using the function given.
10. Find the missing values Other medium 3 m. Find out the missing values using the data given.
11. Calculate the following Other hard 5 m. Calculate the palm's length and the height using the data given.
12. Answer the following Other hard 6 m. Find the images, preimages and type of the given function.
13. Solve the following Other hard 6 m. Calculate the values using the functions given.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Find the following values Other hard 5 m. Work on the problems to find the answers using the given information.
2. Find the images, pre-images and type of function Other hard 5 m. Work on the problem to find the answers using given information.
3. Represent the function in the required forms Other hard 0 m. Problems based on representation and types of functions.
4. Find the temperatures Other hard 5 m. Find the range of the given function and analyse its type.
5. Evaluate the given using functions Other hard 5 m. Analyse the problems and answer the questions.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Find the value of n(B) Other easy 1 m. Find the unknown value based on the concept of bijection.
2. Check for bijection Other medium 4 m. Check the given function for bijection.
3. Determine the range and type of function Other hard 6 m. Find the range of the given function and analyse its type.
4. Representation of function Other hard 6 m. Represent the function using the given ways.
5. Represent the following Other hard 8 m. Represent the following using different ways.
6. Solve the real valued function Other hard 2 m. Analyse the problems and answer the questions.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 medium 12 m.
2. Homework II 00:15:00 medium 20 m.
3. Homework III 00:15:00 medium 5 m.
4. Homework IV 00:15:00 medium 7 m.
5. Homework V 00:15:00 hard 16 m.
6. Homework VI 00:15:00 hard 11 m.
7. Revision test I 00:15:00 medium 15 m.
8. Revision test II 00:15:00 medium 10 m.
9. Revision test III 00:15:00 medium 13 m.
10. Revision test IV 00:15:00 medium 14 m.
11. Revision test V 00:15:00 medium 23 m.
12. Periodic Assessment 00:10:00 medium 2 m. PA 1 - Representation and Types of Functions