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Collection of Reviewed Teaching Resources

Exponential growth

Subject taught
- Math
- Physics

Link
https://www.youtube.com/watch?v=t3d0Y-JpRRg

Type of Product
- Videos

Language Skills Developed
- Listening
- Speaking

Transferable/Scientific Skills Developed
Develop listening and speaking skills Analyse and understand a problem involving exponential growth by mathematically modelling a real situation writing an equation for the problem Teach how to apply the experimental scientific method

Description
This teaching resource takes into consideration general, linguistic and subject specific aims.

The general aims are the following:
- Make cross - curricular links combining maths with history (of maths), physics and science
- Increase students’ motivation and interest in studying by using clil methodology
- encourage students to develop the ability to think critically
- prepare students for life in a more internationalised society
- Develop the ability to think in English

The linguistic aims are the following:
- enable students to develop language skills which emphasize effective communication
- motivate students to learn English by using it for real practical purposes
- Promote the learning of a more extensive and varied vocabulary
- Allow students to develop listening and speaking skills

The subject specific aims are the following:
- understand how a mathematical model can describe the legend of the chessboard and the rice grains
- help students to write an equation for the problem
- learn how to represent the number of the rice grains in each square of the chessboard in a table
- learn how to think in terms of order of magnitude by using the scientific notation
- let students measure the average length of a rice grain
- let students measure how many rice grains are there, in average, in a container with known volume
- remind and apply error propagation in physics
- learn how to demonstrate or reject the statements at the end of the video

Target group age: this activity is for students of the fourth year of high school from 17 to 18
Level of competence in English (CEFR) should be B1 at least
Time required to use the resource with the students: 2,5 h (1 h as homework)
How to use it
The teacher shows the video to the class.
Then the teacher asks the students to summarise and explain the meaning of the video.
The teacher separates the class into small groups and gives them a ruler, a little graduated container and some rice in order to measure the length and the volume occupied by the rice.
The teacher assigns each group the homework of demonstrating or rejecting the statements about the total length of a line made with the rice grains in the 64th square of the chessboard and the volume occupied by the same amount of rice.
The teacher asks each group to present the results
Possible difficulties for the students:
- talk in English about scientific topics
- understand how to take direct and indirect measurements with their experimental errors
- understand the problems concerned with error propagation

Comments
Strength: - The lesson asks the students to demonstrate a statement and this can increase students’ motivation - this activity enhances the development of problem solving skills - Weakness: students groups might need the teacher's help Scientific reliability: the reliability of the resource is very good Pedagogical value: this lesson is thought to be a collaborative problem solving activity. It gets students together to help each other learn (collaborative and cooperative learning). The lesson teaches the students how to apply the scientific method.