Ohio Resource Center

 Lesson Materials Aligned With OGT Measurement Benchmark C These lesson materials address various aspects of OGT Measurement Benchmark C: Apply indirect measurement techniques, tools and formulas, as appropriate, to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids. (sw)

 Pinwheel (ORC#: 7847) Students create parallelograms from square sheets of paper and connect them to form an octagon. During the construction, students analyze angle measures, segment lengths, and areas in terms of the original square. At the end of the lesson, the octagon is transformed into a pinwheel, and students discover a surprising result. An activity sheet, detailed diagrams, discussion questions, suggestions for assessment, extensions of the lesson, and prompts for teacher reflection are included. (author/sw)

 Rainy Lake, aka Mirror Lake (ORC#: 9739) Students use a topographical map featuring a body of water, such as a lake, pond, or river, to figure out how much the level of the water would rise after a one-inch rainfall the previous night. An extension of the problem and a discussion of the underlying mathematical ideas are included. This mathematically rich problem was originally developed for the Project Discovery Mathematics by Inquiry institutes for middle grades teachers taught in 1992 - 1994 at Ohio State University. Project Discovery was co-funded by the Ohio Board of Regents and the Statewide Systemic Initiative (SSI) program of the National Science Foundation. (author/sw)

 Popcorn: Math Challenge #3 (ORC#: 2394) Students are asked to make one tall cylinder and one short cylinder using rectangular sheets of paper of the same size. These two cylinders obviously have the same surface area, but do they have the same volume? Several challenging questions and activities related to surface area and volume are included, as well as presentation materials for teachers. (author/sw)