Objective
By the end of this lesson, you will be able to apply algebraic concepts to design and optimize paper airplanes for maximum flight distance.
Materials and Prep
- Sheets of paper
- Ruler
- Pencil
- Calculator (optional)
No prior knowledge or preparation is required for this lesson.
Activities
- Introduction to Algebraic Concepts: Begin by discussing the importance of algebra in problem-solving and optimization. Explain that we will be using algebraic equations to design paper airplanes that can fly the farthest.
- Exploring Flight Distance: Have the student fold a paper airplane using a standard design. Measure and record the flight distance of the airplane.
- Variable Experimentation: Introduce the concept of variables in algebra. Ask the student to identify variables that may affect the flight distance of the paper airplane (e.g., wing length, wing width, nose angle).
- Formulating Equations: Guide the student in creating algebraic equations to represent the relationship between the variables and the flight distance. Encourage them to experiment with different equations and record the results.
- Optimizing the Design: Using the equations developed in the previous step, have the student modify their paper airplane design to maximize flight distance. Encourage them to make changes to one variable at a time to observe the impact on the outcome.
- Testing and Comparing: Test the modified paper airplanes and record the flight distances. Compare the results with the initial design and discuss the impact of the changes made.
Eighth Grade Talking Points
- "Algebra is a powerful tool that helps us solve problems and optimize outcomes in various fields, including engineering and design."
- "By using algebraic equations, we can represent relationships between different variables and predict how changes in one variable may affect the outcome."
- "In our paper airplane experiment, we will be exploring how different variables, such as wing length and nose angle, affect the flight distance."
- "By formulating algebraic equations, we can create a mathematical model that represents the relationship between the variables and the flight distance."
- "We will be optimizing our paper airplane design by making changes to one variable at a time and observing the impact on the flight distance."
- "Through testing and comparing different designs, we can determine which modifications result in the longest flight distance."