Title: Card Table Project
Students will work in groups to design a card table. Students will communicate with each other through a class blog or class discussion page. Students will then work in groups to design a card table. After the design phase, students will try to sell their product to the outside expert.
Standard(s): [MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]
Title: Land Surveying Project-Enhancing mathematics in the career/technical classroom and providing relevance in the mathematics classroom.
This project resulted from of the collaboration of a computer aided drafting teacher, Chris Bond, and a math teacher, Lee Cable, (Hewitt-Trussville High School) to provide higher math expectations in CT and real life application in mathematics.
In this hands-on and technology based project, CT students will learn the basics of civil engineering in land surveying while applying algebraic and geometric concepts. The current technology used by survey crews, for example AutoCAD, will be utilized and applied by students. With assistance from a local civil engineering firm, students will record length and angle measurements of an assigned area and calculate unknown measures using math concepts that include solving general and right triangles, setting up and solving proportions, determining scale, and using the Law of Cosines. A topographical map will then be plotted using AutoCAD and a presentation made to the engineering firm for grading and feedback. The embedded math will be co-taught with a math teacher using the real world data to make the topics relevant. In the math classroom, the math teacher will use land surveying problems designed in this project to show students how math concepts are used in real-world applications.
Standard(s): [MA2015] GEO (9-12) 23: (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Title: Law of Cosines
In this Illuminations lesson, students use right triangle trigonometry and the Pythagorean theorem to develop the law of cosines. Included is a link to an online activity sheet.
Standard(s): [MA2015] AM1 (9-12) 17: (+) Prove the Law of Sines and the Law of Cosines and use them to solve problems. Understand Law of Sines = 2r, where r is the radius of the circumscribed circle of the triangle. Apply the Law of Tangents. [G-SRT10] (Alabama)