The Pythagorean Theorem

Introduction

This measurement WebQuest will take you on a mathematical journey that will explore a very important and famous mathematical theorem, namely the Pythagorean Theorem. You will get some insight into who Pythagoras was, what his theorem says and how we can apply his theorem in the real world context to solve real-world based problems.

We are going to have some fun while learning some new things through exploration on the internet. Get your measuring tools ready and let’s dive in!

Task

Task 1: You have task of individually discovering the Pythagorean Theorem by taking an inquiry based approach. By doing this you will come across information who Pythagoras was and how he contributed to society and the mathematical world. 

Task 2: Work in groups of four and try to find information on the Pythagorean Theorem.

Task 3: Gather information on the procedure of how to calculate when using the Pythagorean Theorem.

Task 4: Read on the relationship between the lengths of the sides of a right-angled triangle.

Task 5: Learners will have 6 minutes to present what they have learnt about the Pythagorean Theorem.

Process

Task 1

Follow the links below and do some reading about the person who discovered the Pythagorean Theorem and his contributions to man.

https://www.storyofmathematics.com/greek_pythagoras.html 

https://mathshistory.st-andrews.ac.uk/Biographies/Pythagoras/ 

https://youtu.be/AA6RfgP-AHU 

 

Task 2:

Find out what the Pythagorean theorem is.

https://www.mathsisfun.com/pythagoras.html

 

Task 3:

Investigate the relationship between the lengths of the sides of a right-angled triangle.

https://www.storyofmathematics.com/pythagorean-theorem

 

Task 4:

Find out how the calculations work.

https://byjus.com/maths/pythagoras-theorem/

 

Task 5:

Determine whether the triangle is a right-angled triangle if all the lengths are known

https://www.varsitytutors.com/hotmath/hotmath_help/topics/converse-of-pythagorean-theorem#:~:text=If%20the%20square%20of%20the,triangle%20is%20a%20right%20triangle.

 

I will allocate 6 minutes to you and your group to gather your information so that you can present it to the class.

Process:

Learner 1

Learner 2

Learner 3

Learner 4

Group leader

(presenter)

Time keeper

(presenter)

Take notes

(presenter)

Lead researcher

(presenter)

Evaluation

 

Beginner (1-2)

Developing(3-5)

Good (6-8)

Excellent(9-10)

Total 30

Information

Consists of incorrect information

Contains little incorrect information. Note taking adequate.

It reaches necessary requirements

Outstanding amount of information

 

Group work

Do not work well as a group. Members are inadequate

Group work is somewhat adequate. Only 2 members does the work

Teamwork is good. Almost all members contribute

Group does well together and everyone plays their part

 

Presentation Creativity

Little to no creativity

Presentation is somewhat creative

The presentation is neat and acceptable

Presentation is creative and has legible writing and all necessary information is included

Conclusion

I hope you as learners have gained new insight into the Pythagorean Theorem and Mathematics as a subject. It is of significance to know this specific concept of mathematics.

Credits
Teacher Page

Learners will write a summary from what makes sense to them from this particular website: https://www.mathsisfun.com/pythagoras.html