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All grades  Project 1 week

"Triangle Treasure Hunt Challenge"

JAMES F
CCSS.Math.Content.HSG-SRT.C.8
CCSS.Math.Content.HSG-SRT.B.4
CCSS.Math.Content.HSG-SRT.B.5
Self Directed Learning
Academic Mindset
+ 1 more
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Purpose

Students will engage in a hands-on project that explores the real-world applications of special right triangles and angles formed by parallel lines and transversals. By collaborating with peers and receiving targeted feedback, students will deepen their understanding of geometric principles and apply them to solve authentic problems in fields such as engineering and design. This project fosters critical thinking and problem-solving skills, encouraging students to explore innovative solutions and reflect on their learning journey.

Learning goals

Students will explore and apply the properties of special right triangles and angles formed by parallel lines and transversals to solve real-world problems in engineering, architecture, and design. They will engage in self-directed learning by using feedback to refine their understanding and problem-solving strategies. Students will develop critical thinking skills by considering various approaches to address complex questions and demonstrate their knowledge through a project that showcases their ability to apply geometric principles in practical scenarios.
Standards
  • [Common Core] CCSS.Math.Content.HSG-SRT.C.8 - Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
  • [Common Core] CCSS.Math.Content.HSG-SRT.B.4 - Prove theorems about triangles.
  • [Common Core] CCSS.Math.Content.HSG-SRT.B.5 - Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
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 collaboratively design and construct scale models of a bridge or building, applying their knowledge of special right triangles and angles formed by parallel lines and transversals. Each group will create a detailed project report that includes diagrams, calculations, and reflections on their problem-solving strategies. The final presentation will involve a demonstration of the model's structural integrity and a discussion on its real-world applications in engineering and architecture.

Launch

Kick off the project with a hands-on workshop where students collaborate in small groups to design and construct scale models of bridges using special right triangles. Invite a local engineer to discuss how these geometric principles are applied in real-world engineering projects. This experience will set the stage for students to explore the essential questions and connect classroom learning to practical applications.

Exhibition

Students will design and present a real-world application project that demonstrates their understanding of special right triangles and angles formed by parallel lines and transversals. They will create scale models or digital simulations of structures like bridges or buildings, showcasing how these geometric principles are utilized in engineering and architecture. The exhibition will feature interactive presentations where students explain their problem-solving strategies and the mathematical concepts applied, inviting feedback from peers, teachers, and community partners.