LESSON PLAN 6

Duration

6 activities, 3 weeks

Topic

Solving problems with reports, proportions and percentages in a daily context.

Synopsis

Mathematics is a way of expressing natural laws, it is the simplest and most appropriate way to present a general law or the flow of a phenomenon, it is the most perfect language in which a natural phenomenon can be narrated”.

Gheorghe Țiţeica

Contributors

Parents who are engineers, scientists…, teachers from other related subjects (NS, ICT, Arts…)

Framework

Material / Equipment

Material resources: interactive whiteboard, projector, computer, worksheets, colored sheets, scissors, digital tools, etc.

Informational and methodological resources: Padlet.com, Geogebra, Canva.com,

Storyjumper.com, Wordwall.com, Kahoot.com, Learningapps.com, Padlet.com,Zoom

Previous knowledge and skills

This project does not require previous knowledge related to the topic addressed. The documentation will be done during the development of the project.

Learning Objectives

Learning goals and objectives:

The students will participate in solving individual and group applications, with a progressive and differentiated degree of difficulty depending on the learning styles and the level of understanding aimed at:

identifying the problems involving the types of reports learned;
finding real-life problems that can be solved with the help of reports, proportions and percentages;
-identifying some problem situations that can be transcribed in mathematical language, using algebraic calculation to determine an unknown term of a proportion.

Learning outcomes and expected outcomes:

By going through the learning unit “Ratios, proportions and percentages”, following some practical case studies, students will be able to perform different calculations with ratios, proportions and percentages. All this will be learned by the students with the help of case studies that involve solving some problems from everyday life, the students being divided into groups, each group having the task of solving some problems.

Also, an important objective is the creation of the website that will contain the results of the project.

Methodology

Information stage:

Students familiarize themselves with the basic notions:

https://fliphtml5.com/igdan/oqik/basic

Preparation & Resources

Preparation, Space Setting, Troubleshooting Tips:

Presentation of each member of the project and their role within the project

Activity 1. – Students will research what ratios, proportions and percentages are, where these notions are applied around us.

Resources, Tools, Material, Attachments, Equipment

There are instructions available online, which explain how this can be done effectively, e.g.,

https://www.youtube.com/watch?v=zx ZBeoEj5WA

Inspirations for reports, proportions and percentages in the literature can be found here: https://martinfabian1.weebly.com/martin-fabian/aplicatii-practice-ale-matematicii-in-viata-cotidiana

Implementation

Implementation stage:

The students will be divided into 5 groups and each group will have a task to solve a practical task proposed in a case study.

The case studies proposed to the students are:

Team 1:

Ratios, Proportions and Percentages in Commerce.

Go (imaginary or real) Shopping. Propose various business problem-situations of applicability of ratios, proportions or percentages.

Through collaboration solve the proposed problems.

Submit your product with bookcreator.com

Team 2:

Ratios, proportions and percentages in the kitchen

Give examples of the applicability of ratios, proportions and percentages in the kitchen.

Through collaboration solve the proposed problems.

Showcase your product with genially.com

Team 3:

Ratios, proportions and percentages in agriculture

Make a model of an agricultural land divided by crops.

Collaboratively make a percentage pie chart of farmland crop areas with canva.com

Team 4:

Ratios, proportions and percentages in the sciences

Present the applicability of ratios, proportions and percentages to biology, physics, chemistry and geography by carrying out experiments (determining the density of metals, the concentration of solutions…).

Collaboratively solve problems-results of experiments.

Submit your product with boockreator.com

Team 5:

The Journey of Ratios, Proportions and Percentages

Collaborate on the story “The Journey of Ratios, Proportions and Percentages” with fliphtml5.com

The stage of presentation of the final products of the project and their evaluation:

At the end, the students will have to make a Power Point presentation on the topic of the project. This will be added to the site documents.

Outline of the Lesson

Extension Activities

Activity self-assessment questionnaire

Activity balance

I learned …
It was interested in …
I liked …
I already know that …
I will remember …

Assessmement

As a result, students are involved in authentic, meaningful learning situations, critical and self-critical thinking is developed, innovation is encouraged, the ability to collaborate and communicate effectively is also developed, the student’s motivation to learn is increased.

The strong points of the activity consist in: arguing and valorizing one’s own ideas, opinions; the development of the student’s critical and self-critical thinking; developing the capacity for understanding, collaboration and communication; the formation of mathematical, digital and linguistic skills.

The weak points of this activity are: the lack of teaching support; the need for more time allocated for such activities.

Conclusions: Active learning involves effective didactic strategies, by capitalizing on mathematical skills. The student becomes responsible in selecting and managing the learning path, which contributes to the development of his own personality. Students are much more motivated if subjects are taught from diverse perspectives, and if they are based on facts from everyday life, when the strongest argument is the very fact that life is not divided into disciplines.