7th Grade  Project 2 weeks

"Train Wheel Whiz: Geometry on Track!"

Olivia T
CCSS.Math.Content.7.G.A.1
CCSS.Math.Content.7.RP.A.3
CCSS.Math.Content.7.RP.A.2
Self Directed Learning
Academic Mindset
+ 1 more
1-pager

Purpose

This project aims to immerse students in the practical application of geometry and engineering principles by exploring the design and function of train wheels. Through hands-on experimentation and collaboration, students will deepen their understanding of mathematical concepts such as ratios, proportions, and circular geometry. The experience fosters critical thinking and problem-solving skills as students develop innovative solutions to real-world transportation challenges, encouraging them to reflect on the impact of engineering on efficiency and safety.

Learning goals

Students will develop a deep understanding of geometric concepts such as circumference, radius, and diameter, and apply these to real-world engineering challenges. They will enhance their skills in proportional reasoning and scale modeling, solving complex problems through hands-on experimentation and design. Additionally, students will cultivate critical thinking and problem-solving abilities by exploring innovative approaches to optimize train wheel designs, fostering a sense of belonging and identity within the learning community through collaborative reflection and feedback.
Standards
  • [Common Core] CCSS.Math.Content.7.G.A.1 - Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
  • [Common Core] CCSS.Math.Content.7.RP.A.3 - Use proportional relationships to solve multistep ratio and percent problems.
  • [Common Core] CCSS.Math.Content.7.RP.A.2 - Recognize and represent proportional relationships between quantities.
Competencies
  • Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.

Products

Students will design and construct a functional prototype of a train wheel using recycled materials, demonstrating their understanding of geometry and engineering principles. They will also produce a documentary-style video capturing the project's journey, highlighting key learning moments and engineering insights. Additionally, students will create a digital poster or presentation explaining the math behind their wheel design, the effects of incorrect ratios, and their recommendations for optimized wheel designs.

Launch

Kick off the project with a dynamic demonstration using 3D-printed wheels of varying sizes and shapes. Set up a small-scale track and conduct a live experiment, showcasing how differences in wheel geometry impact the train's movement. Encourage students to make observations and pose questions about the mechanics they witness, sparking curiosity and setting the stage for their investigative journey.

Exhibition

Students will participate in a dynamic train race exhibition, showcasing their custom-designed wheels on model tracks. Each team will demonstrate how their wheel design optimizes smoothness, safety, and efficiency, explaining the mathematical principles behind their choices. The event will include a gallery walk where students present their engineering reports and documentary-style videos to peers, teachers, and community partners, allowing for interactive discussions and feedback.