Learning- research Activity
„ đ??‹ – the most beautiful numberâ€?
Tatjana Vinokurova Inara Vasilevska Mara Kreicberga
2017
TABLE OF CONTENTS 1. Description of Activity 2. Presentation 3. Student’s worksheet 4. Student’s reflection
Private Secondary School KLASIKA Research Days “đ?œś, đ?œˇ ‌â€? 2017 Study and research area „ đ??‹ – the most beautiful numberâ€? AIMS: ď ś Development and formation of skills enabling students to use information technologies efficiently. ď ś Extension of practical use of mathematical knowledge and skills. ď ś Development of students ability to analyze the information and make decisions thus enabling them to independently “discoverâ€? the properties of mathematical objects. ď ś Practice of pair work.
TASKS: ď ś To extend students knowledge on the Fibonacci serias, Golden ratio and Fibonacci spiral by watching and discussing a presentation; ď ś To teach the students to use the technologies effectively to fulfil the tasks (3D program SKETCHUP and 3D printer); ď ś Actualize the knowledge and skills in math and biologie, culture, architecture, music, business; ď ś To develop the skills to draw the conclusions ; ď ś To practice skills to use relevant terminology in English.
PRESENTATION
Private Secondary Schools “Klasikaâ€? Research Days - 2017 â€?đ?œś, đ?œˇ ‌â€? Study and research area „ đ??‹ – the most beautiful numberâ€?
Student’s worksheet Name, surname, form______________________________
Most scientists have come to the conclusion that PHI is the most beautiful and complete number in the world. This number is also called the “Golden section� or to commemorate the ancient Greek sculptor Phidias who first applied it to the design of sculptures for the Parthenon.
1. Calculate and write the next 5 numbers in the Fibonacci series : 1; 1; 2; 3; 5; 8; 13; 21; _____________________________________________________________________ 2. Calculate the 13th number of the obtained series in relation to the 12th number.
3. Choose any two numbers, then form a series in accordance with Fibonacci series. ______________________________________________________________________________ 4. Calculate the 10th number of the obtained series in relation to the 9th number.
5. Write down your observations!
6. Do an experiment! Carry out the necessary measurements (see the figure) and calculate Đ?+Đ’ the relation Đ’ .
Fill in the table!
A (cm) B (cm)
Where is
A+B (cm)
đ??‹?
__________________________________
7. Construct Fibonacci spiral using SKETCHUP program!
8. Now you can print out Fibonacci spiral with 3D printer ! 9. Fill in the self-assessment chart ! Criteria
Yes (3 points)
No (0 points)
I listened carefully, heard the instructions I know what Golden section, number PHI and Fibonacci spiral are I succeeded in constructing the Fibonacci spiral using SKETCHUP The tasks were interesting and challenging
THANK YOU FOR YOUR WORK!
Partly (1-2 points)
Đ?+Đ’ Đ’
STUDENT’S REFLECTION
I listened carefully, heard the instructions No 2% Partly 22% Yes 76%
I know what Golden section, number PHI and Fibonacci spiral are No 3% Partly 15%
Yes 82%
I succeeded in constructing the Fibonacci spiral using SKETCHUP No 3% Partly 13% Yes 84%
The tasks were interesting and challenging No 7% Partly 15% Yes 78%