Contextualization
Introduction to Negative Numbers
Negative numbers are a fundamental concept in mathematics. They are numbers less than zero and are used to represent quantities that are less than or opposite to a positive quantity. For example, if a person has $5 and owes $10, the person has a debt of $5, which can be represented as 5. Negative numbers are also used to indicate direction, such as in physics, where upward is usually considered positive and downward is considered negative.
Understanding negative numbers is crucial for various mathematical operations, including addition, subtraction, multiplication, and division. They are also key in realworld applications, from understanding temperatures below freezing to calculating losses in business. Thus, developing a strong foundation in negative numbers is not only essential for mathematical success but also for everyday life.
Importance of Understanding Negative Numbers
The concept of negative numbers is a gateway to the understanding of many advanced mathematical topics. It is a building block for algebra, where negative numbers are used extensively. They are also used in calculus, where negative exponents and negative solutions to problems often arise. Furthermore, negative numbers are also used in various scientific fields, including physics, where they are used to represent values below zero.
However, understanding negative numbers can be challenging for some students. They may perceive negative numbers as abstract, not understanding their realworld implications. They may also struggle with the idea that subtracting a smaller number from a larger one results in a negative number. It is, therefore, essential to provide concrete examples and engaging activities to help students grasp this concept effectively.
Resources
To help you better understand the concept of negative numbers and their applications, the following resources are recommended:
 Book: "Mathematics: A Discrete Introduction" by Edward A. Scheinerman
 Website: Math is Fun  Negative Numbers
 Video: Negative Numbers  Arithmetic Properties of Negative Numbers by Khan Academy
 Article: The Importance of Negative Numbers in Mathematics by ThoughtCo
 Book: "Mathematics for the Nonmathematician" by Morris Kline
By studying these resources and engaging in the upcoming project, you will develop a strong understanding of negative numbers and their significance in the world of mathematics.
Practical Activity
Activity Title: "Temperature Tales: A Journey through Negative Numbers"
Objective:
The main objective of this project is to enhance students' understanding of negative numbers, their significance in realworld applications, and to develop their collaboration and problemsolving skills.
Description:
In this project, the students will create a "Temperature Tales" booklet, which explores the concept of negative numbers in the context of weather temperatures. Each group will be assigned a city and its corresponding weather data for a week. The students will use this data to calculate temperature changes, identify patterns, and make predictions. The activity provides a practical and engaging way to apply the concept of negative numbers and understand their realworld significance.
Necessary Materials:
 Access to a computer or tablet with internet connection for research and report writing
 Graph paper or a graphing tool for plotting temperature changes
 Colored pencils/markers for illustrating the booklet
 Access to weather data for the assigned city (can be obtained from weather websites or apps)
Steps:

Research and Understanding Phase (Approximately 2 hours):
 Each group will research and understand the concept of negative numbers using the provided resources.
 They will then review the weather data for their assigned city and identify the days with belowzero temperatures.

Temperature Calculation and Graph Plotting (Approximately 3 hours):
 Using a chosen scale, the students will calculate the temperature changes for each day, considering negative numbers where appropriate.
 They will plot these changes on a graph, with time on the xaxis and temperature on the yaxis.

Pattern Identification and Prediction (Approximately 2 hours):
 The students will analyze the graph for patterns and make predictions about future temperature changes based on these patterns.
 They will also identify any instances of a temperature change from positive to negative or vice versa.

Booklet Creation (Approximately 3 hours):
 Using the collected data, calculations, graphs, and observations, the students will create a booklet named "Temperature Tales" which will include:
 An introduction to negative numbers and their significance in weather temperatures.
 Illustrations of the weather conditions for each day.
 A section explaining the calculations and graphing process, showcasing the obtained results.
 A conclusion summarizing the key learnings and insights gained from the project.
 Using the collected data, calculations, graphs, and observations, the students will create a booklet named "Temperature Tales" which will include:

Presentation (Approximately 1 hour):
 Each group will present their booklet to the class, explaining their process, findings, and reflections.
Project Deliveries:
At the end of the project, each group will submit:

A completed "Temperature Tales" booklet.

An electronic version of the booklet in PDF format.

A written report following the document structure: Introduction, Development, Conclusion, and Used Bibliography. The report will detail the process, the methodology used, the obtained results, and the learnings.
 The introduction will contextualize the theme, its relevance, and the objective of the project.
 The development section will detail the theory behind the project, the practical activity, the techniques used, and the obtained results.
 The conclusion will revisit the main points, state the learnings obtained, and the conclusions drawn about the project.
 The bibliography will indicate the sources relied on to work on the project.
This project will not only help you understand negative numbers but also nurture essential skills such as research, communication, collaboration, and problemsolving. Enjoy your journey through "Temperature Tales"!