Description
Overview: This task is designed to help Grade 9 students explore the concept of rational functions through a real-life scenario involving the drainage of water from a washing machine. The students will use a rational function to model how the amount of water left in the machine decreases over time, analyze the behavior of the function, and connect their mathematical findings to real-world concepts.
IB MYP Key Concept:
- Relationships: The task explores the relationship between time and the amount of water left in the washing machine. It also focuses on the behavior of the rational function as it approaches certain values, showing how changes in one variable (time) impact another (water volume).
Related Concepts:
- Model: The rational function serves as a mathematical model that simulates a real-world process (draining water from a washing machine).
- Change: The task explores how the quantity of water changes over time and how this change is represented in the graph of the rational function.
Global Context:
- Scientific and Technical Innovation: This task connects to understanding scientific principles (like the rate of change in processes) and how mathematical modeling helps us understand real-world technical systems, such as household appliances.
Statement of Inquiry:
- Mathematical models help us understand and represent changes in real-world systems over time, allowing us to predict and analyze behaviors such as water drainage in technological devices.
- Critical Thinking: Students apply critical thinking by analyzing the relationship between time and water levels using a rational function, and by predicting future behavior based on the graph.
- Research Skills: If extended, students could explore how mathematical models like these are used in engineering and design.
- Self-Management and Organization: The task requires careful planning, such as following a sequence of steps (graphing, analyzing, reflecting).
- Communication: Mathematical language and notation are essential for expressing the function’s real-world application.
- Collaboration: Through group discussions or collaborative problem-solving, students can exchange ideas and refine their understanding.
Available as a PDF due to intricate formatting.
For an editable Microsoft Word file or Google Doc, please request it after purchase.
Please share the receipt for confirmation.
Highlights
Description
Overview: This task is designed to help Grade 9 students explore the concept of rational functions through a real-life scenario involving the drainage of water from a washing machine. The students will use a rational function to model how the amount of water left in the machine decreases over time, analyze the behavior of the function, and connect their mathematical findings to real-world concepts.
IB MYP Key Concept:
- Relationships: The task explores the relationship between time and the amount of water left in the washing machine. It also focuses on the behavior of the rational function as it approaches certain values, showing how changes in one variable (time) impact another (water volume).
Related Concepts:
- Model: The rational function serves as a mathematical model that simulates a real-world process (draining water from a washing machine).
- Change: The task explores how the quantity of water changes over time and how this change is represented in the graph of the rational function.
Global Context:
- Scientific and Technical Innovation: This task connects to understanding scientific principles (like the rate of change in processes) and how mathematical modeling helps us understand real-world technical systems, such as household appliances.
Statement of Inquiry:
- Mathematical models help us understand and represent changes in real-world systems over time, allowing us to predict and analyze behaviors such as water drainage in technological devices.
- Critical Thinking: Students apply critical thinking by analyzing the relationship between time and water levels using a rational function, and by predicting future behavior based on the graph.
- Research Skills: If extended, students could explore how mathematical models like these are used in engineering and design.
- Self-Management and Organization: The task requires careful planning, such as following a sequence of steps (graphing, analyzing, reflecting).
- Communication: Mathematical language and notation are essential for expressing the function’s real-world application.
- Collaboration: Through group discussions or collaborative problem-solving, students can exchange ideas and refine their understanding.
Available as a PDF due to intricate formatting.
For an editable Microsoft Word file or Google Doc, please request it after purchase.
Please share the receipt for confirmation.
