Revised lesson plan 2

Paramvir Singh
LESSON PLAN 2
Other interesting sequences ( Fibonacci and Triangular )
Mathematics

EDCP 342A
Date : February 12, 2017    

Room       1213

Topic/learning objectives:  In order to make the aesthetic connection, students will learn about the relationship of sequences with arts. After completing this lecture, they would be able to find these artistic connections in nature and in their surroundings.



HOOK
·         Do you think Arts and Mathematics have a relationship?
·         Students will think about it for a moment and will discuss with neighbours and then will share with class.
·         Teacher will walk around the class and pose some other following questions:
·         Have you ever seen mathematical patterns in your surrounding?
·         Teacher will hand in some pictures of different kinds of flowers whose petals make some special patterns.
·         Students will gaze on the pictures and try to locate some patterns.
·         Today we will talk about two interesting sequences Fibonacci sequence and triangular numbers.


Lesson content/activities:
·         First of all, teacher will play two videos about the aesthetic connection of Fibonacci sequence and triangular numbers in nature so that they can understand the direction of the lesson.
·          Will divide the students into 5 groups. They will search (with devices) about Fibonacci sequence and golden ratio, life history of Fibonacci, other contributions of Fibonacci, triangular numbers.
·         Students will work in their individual groups and collect information according to their topic.

·         Teacher will move around the groups and observe their working, will also ask some questions for extensions.

·         Teacher will also provide scaffolding wherever it is needed.


·         Two members of each group will move to another group and will share their information that what they found interesting sequences and how these are aesthetically connected with nature.

·         Teacher will briefly review the mathematical dimension of Fibonacci sequence and golden ratio, related with its position of terms and ratio of one number to the next. Each number is the sum of the previous two numbers i.e. 0,1,1,2,5,8,13,21,34,55………The ratio of one number to the next is 1.61803, will also review the triangular numbers which occur in the sequence of 1, (1+2), (1+2+3), ( 1+2+3+4), ( 1+2+3+4+5)……

Time

20 minutes












10



25





15


5


Homework/assessment

The teacher will ask them to find these artistic patterns in the real world. They can find such types of sequences in sunflower, snowflakes and shells which can be shown in the project ,next week.


Learning outcomes

All pupils will listen carefully and they will learn  artistic connections of sequences with nature.
Most pupils should understand the beauty of Fibonacci sequence and triangular numbers
Some pupils may try to find this kind of patterns in their surroundings.



Comments/evaluation

Teacher will ask general questions about the relationship of math with arts. It will help him to know about the understanding of topic discussed in the class.

Comments

  1. Susan Gerofsky8 January 2018 at 15:40

    Nice video about triangular numbers! The Fibonacci sequence one has beautiful footage too, but I would choose a different one, because (1) the film footage has been 'stolen' from another filmmaker without attribution, and (2) the whole video has an (only slightly hidden) fundamentalist Christian religious message that is not appropriate in mathematics class. A better sequence of videos about Fibonacci numbers is Vi Hart's three short videos, starting here: https://www.youtube.com/watch?v=ahXIMUkSXX0 (Vi Hart talks very fast, but her videos are really excellent!) Another good video is here: https://www.youtube.com/watch?v=wTlw7fNcO-0

    I think that 20 minutes is too long for students to discuss the relationship between math and art if they have never had any math-art experiences! The time would be better spent in building some interesting experiences around actual pinecones, pineapples, sunflowers, Fibonacci spirals and other Fibonacci-based art before holding a discussion. That way, students have some basis for opinions and discussion.

    Again, I would spend FAR less time having students look up 'factoids' about Fibonacci on their devices. Frankly, they are very likely to read and then discard these facts without some meaningful activity to engage with the Fibonacci sequence.

    More meaningful activities might include drawing Fibonacci spirals from scratch, creating a 3D model of a Nautilus shell from paper, using counting and measurement to engage mathematically (and artistically) with the Fibonacci and triangular number sequences. This will take a bit more planning and research on your part as the teacher ahead of time, but if you can come up with 6 different activities that groups of 4 or 5 can try out and then explain, you will get much more engagement with the actual mathematics.

    ReplyDelete
  2. Susan Gerofsky8 January 2018 at 15:42

    Try searching "Fibonacci sequence student activities", etc. online for many activity ideas you can choose from.

    ReplyDelete

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