Geometric and Trigonometric Principles paired with Material and Theoretical Construction in a Four Lesson Project-Based Learning (PBL) Curriculum

Abstract

This project-based learning (PBL) curriculum integrates two core topics from Geometry and Algebra 2/Trigonometry: Similar Right Triangles and Laws of Sines and Cosines for students in a senior level mathematics (Math-12) classroom. Student review and practice these concepts during the first two lessons. They are then tasked with applying both concepts over the next two lessons while they construct two cardboard phone stands. This curriculum allows educators to review key concepts from previous years while engaging students in hands-on activities. Lessons 1, 3, and 4 include significant time spent working with materials and performing hands-on tasks including: measuring, cutting, and fastening. These tasks are supported by worksheets that explain the math behind the tasks and require the students to record results based on the tasks. This project hooks to lessons from algebra, geometry, and trigonometry but maintains student engagement due to the active nature of the activities. Student feedback from the lessons included mention of the activities being very different from typical math lessons, enjoyment of using tools and working with materials, the rigor of the mathematic concepts, and the fulfillment of having a tangible result from the project