Lesson plan: PI number by Mirjana Bagaric https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo Understanding and applying the number π in mathematics en-us 2025-07-20 18:43:25 UTC 2025-07-27 19:32:02 UTC hello@padlet.com https://padlet.net/icons/8.0/png/1f369.png What we will learn? mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351774 Students will understand what the number π (pi) is and how it is used in mathematics, especially in calculating the circumference and area of a circle.

]]> 2025-07-20 18:43:26 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351774 2nd option...history mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351804 Students will recognize the historical importance of the number π and learn who throughout history has tried to calculate the number π and how.

]]> 2025-07-20 18:43:28 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351804 Where can we find PI number? mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351805 The teacher introduces the connection between the number PI and the formulas in which it is used. Then she cites some historical facts about the number PI and some interesting facts.

The number pi appears in several formulas.

It appears in every formula that calculates something for a body that has a curved part or surface.

]]> 2025-07-20 18:43:28 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351805 1st video...long one mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351807 This video is 18 minutes long and explains in detail how to calculate the number pi and something else... This is just one option, it can be used by the student for self-learning.

]]> 2025-07-20 18:43:30 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351807 What Wikipedia says about PI number? mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351813 Explore what Wikipedia has to say about mathematicians in history who worked to calculate the number π (eg Archimedes, Ludolph van Ceulen)!

]]> 2025-07-20 18:43:32 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351813 1st game mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351824 Guess as many decimal places of PI as possible

]]> 2025-07-20 18:43:36 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524351824 At first...history mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524359074 (Presentation is made by Gamma)

The Whimsical World of PI.

This presentation shows some facts related to number pi.

]]> 2025-07-20 19:24:43 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524359074 Exploring Pi: A Bilingual Math Workshop mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524372173 A story about a math class held for Croatian and Spanish students. The topic of the class is the number pi: how it is calculated, applications, and interesting facts...

]]> 2025-07-20 20:41:10 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524372173 Conecting maths & physisc mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524373310 This short video demonstrates the connection between physics and mathematics.
Light reflects depending on the angle of incidence – the greater the angle, the more times light reflects inside a circular body, like in a diamond.
This is an example of total internal reflection.
The video also shows how the circumference of a circle was historically approximated – by drawing regular polygons inside the circle.
The more sides the polygon has, the closer its perimeter is to the circle’s circumference.
The diameter remains the same.
Archimedes used a similar method to approximate π – using polygons both inside and outside the circle to find upper and lower bounds.


]]> 2025-07-20 20:48:22 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524373310 2nd game mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524374750 memory PI

]]> 2025-07-20 20:55:50 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524374750 Conecting PI number and music... mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524374891 If you know how... try for yourselves!

]]> 2025-07-20 20:57:13 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524374891 Quizz mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524375178 Students will watch a short video with two questions and one task.

]]> 2025-07-20 20:59:18 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524375178 Where is your Birthday in PI? mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524375460 At this link, students can type in their date of birth and they will be given where that sequence of digits falls among the decimals of pi.

]]> 2025-07-20 21:01:12 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524375460 Do some statistic! mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524376563 (Document is made in Canva)

For homework, students will determine the frequency of individual digits (decimals).
They need to count how often each digit appears among the first 1,000 decimal places.
Statistics show that each digit appears approximately the same number of times.
For example, among the first 100 decimal places, each digit from 0 to 9 appears about 10 times.
The same pattern continues for the first 1,000, 1,000,000 decimal places... the frequency of each digit is always approximately equal.

]]> 2025-07-20 21:08:18 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524376563 Work in pair mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524379253

Activity 1: Measure and Calculate π!
Activity Description:
In this activity, students find various circular objects (plates, bottle caps, glasses, etc.) and carefully measure their circumference and diameter.
They then calculate the ratio of the circumference to the diameter (C ÷ D) for each object and compare the results.
The goal is to discover that the ratio is always approximately the same and close to the number π (3.14).

]]> 2025-07-20 21:25:30 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524379253 Hands-On Circle Lab mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524380309 Activity 2: Is the Ratio the Same Regardless of the Circle’s Diameter?
Activity Description:
In this activity, students draw a large circle on a poster or a big sheet of paper.
Using a piece of string, they measure the circumference by wrapping it around the edge of the circle, and they measure the diameter with a ruler.
Then, they investigate how many times the diameter "fits" into the circumference.
Finally, they write down their result and draw what they discovered.
The goal is to approximate the value of π – around 3.14.

]]> 2025-07-20 21:28:54 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524380309 Just listen... mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524383564 Discover the captivating journey of Pi, the mathematical constant that has intrigued scholars for centuries. In just 60 seconds, explore Pi’s origins from ancient civilizations to its pivotal role in modern mathematics, science, and technology. This video uses compelling stock footage and expert narration to reveal how Pi influences everything from geometry to engineering and cosmology. Perfect for math enthusiasts and curious minds alike, learn why Pi remains a symbol of infinite mystery and scientific breakthrough. Like and share this quick dive into the history and impact of Pi to inspire others with the beauty of mathematics!

]]> 2025-07-20 21:48:58 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524383564 Calculate! mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385092 The students are doing homework assignments. They are calculating the circumference or the area of a circle.

]]> 2025-07-20 21:59:34 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385092 invideo mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385683 2025-07-20 22:03:07 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385683 gamma mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385759 2025-07-20 22:03:15 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385759 padlet mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385812 2025-07-20 22:03:29 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385812 chatgpt..perplexity mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385862 2025-07-20 22:03:42 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385862 edpuzzle mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385886 2025-07-20 22:03:51 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385886 canva mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385897 2025-07-20 22:03:56 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385897 Notebook mirjana_bagaric001 https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385913 2025-07-20 22:04:05 UTC https://padlet.com/mirjana_bagaric001/k7d2gbb75g59xbpo/wish/3524385913