This is a Clilstore unit. You can link all words to dictionaries.

The Fermat's Little Theorem

Introduction

A prime number is a positive integer greater than one that has one positive integer divisor other than one. No factors other than one and itself. Prime numbers are often called primes.

A composite number is a number which has at least two factors greater than one.

Question:

Which numbers are primes, on the yellow or on the white background?

To check go to the puzzle. It is in the buttons below and above.

Task

This webquest will lead you through the tasks how to visualise Fermat's little theorem. If you need more information click on the links at the top. The goals of this lesson are:

1. Information Literacy for obtaining information about the topic.

2. Discussing and working together in groups.

3. Using webtools and videos.

4. Analyzing Fermat's little theorem and associating it with other objects.

 

Process

1. First you will be assigned a team of two or three people using the random-name-picker in the buttons.

2. Find out what is a fortune wheel.

3. Let us assume that we have 'n' colors but we do not have to use all of them.

4. Let us assume that a fortune wheel has 'p' sectors.

5. Test colouring the fortune wheel for n=3 and p=7 and write the results.

6. Test colouring the fortune wheel for n=8 and p=5 and write the results.

7. Test colouring the fortune wheel for n=4 and p=6 and write the results.

8. Consider how many one-coloured fortune wheels you can get.

9. Consider how many different, non-rotating fortune wheels you can get, for fixed 'n' and fixed 'p'.

10. Consider how many different, rotating fortune wheels you can get, for fixed 'n' and fixed 'p'(p is prime).

11. Consider how many different, rotating fortune wheels you can get, for fixed 'n' and fixed 'p'(p is not prime).

12. Find the definition to Fermat's little theorem.

13. Explain what is the relation between Fermat's little theorem and the fortune wheel.

NOTE:

if you need help, watch the video below:

Evaluation

 

Criteria

Very Good

Satisfactory

Needs improvement

Task completion Every stage is completed fully Most of the stages are completed fully Less than two stages are completed fully
Communication Fully mastered skills in debating and arguing, meaning that arguments are convincing Mostly mastered skills in debating and arguing, meaning that arguments are convincing Need to master skills in debating and arguing
Teamwork Full contribution and participation to the group tasks in all stages Partial contribution and participation to the group tasks in most stages Little to no contribution and participation to the group tasks in most stages
Cognition Fully mastered the subject Mastered most of the subject Still needs to master the subject

 

Conclusion

1. Students get to know the meaning of prime numbers and Fermat's little theorem.

2. They get to work in a team.

3. They practise research by themselves.

4. They evaluate each other's groupwork.

 

 

 

 

 

 

 

 

 

Short url:   http://multidict.net/cs/6915