Building a Triangular Treehouse
This is one lesson in a larger Unit Plan that introduces triangular relationships through the lens of building a treehouse with a variety of triangular characteristics. It has proofs, real world problems, constructions, a unit project, assessments, and more. In Lesson 20, “Am I Finished Yet?", students have used the conditions that make triangles congruent including SSS, AAA, SAS, ASA, AAS, and SSA, along with the conditions for similarity, SSS and SAS, to complete the scale drawing and model of a triangluar treehouse. In addition they have used area formulas to figure the amount of actual materials needed to construct the the real world treehouse. A rubric is featured to grade the final project and all work. The entire unit plan can be found here.
This lesson is part of the Unit Project. The project is group work, so it is easy to include differentiation. This is the truly hands-on part of the project as students finish their scale drawings and calculate materials. The rest of the project is found in lessons 3, 5, 8, 11,15, & 19.
Standards & Objectives
- CLE 3108.1.6
- Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between...
- CLE 3108.4.1
- Develop the structures of geometry, such as lines, angles, planes, and planar figures, and explore their properties and relationships.
- CLE 3108.4.4
- Develop geometric intuition and visualization through performing geometric constructions with straightedge/compass and with technology.
- CLE 3108.4.6
- Generate formulas for perimeter, area, and volume, including their use, dimensional analysis, and applications.
- CLE 3108.4.8
- Establish processes for determining congruence and similarity of figures, especially as related to scale factor, contextual applications, and transformations.
- GLE 0701.1.2
- Employ a variety of strategies and resources to determine the definition, pronunciation, and usage of words and phrases.
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