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Polygons Galore! is a mathematics unit for high-ability learners in grades 3-5 focusing on 2-D and 3-D components of geometry by exploring polygons and polyhedra and their properties. The van Hiele levels of geometric understanding provide conceptual underpinnings for unit activities. The unit consists of nine lessons that include student discovery of properties of polygons and polyhedra, investigations for finding areas of triangles and quadrilaterals, study of the Platonic solids, and real-world applications of polygons and polyhedra. It also includes activities related to identifying, comparing, and analyzing polygons by using properties of the polygons; constructing meanings for geometric terms; developing strategies to find areas of specific polygons; identifying and building regular and nonregular polyhedra; and recognizing geometric ideas and relationships as applied in daily life and in other disciplines, such as art.Grades 3-5

Splash! is a mathematics unit for high-ability learners in kindergarten and first grade focusing on concepts related to linear measurement, the creativity elements of fluency and flexibility, and the overarching, interdisciplinary concept of models. The unit consists of 13 lessons centered on the idea of designing a community pool. Students examine the question of why we measure, the importance of accuracy in measurement, and the various units and tools of measurement. The unit presents a hands-on, constructivist approach, allowing children to build their knowledge base and their skills as they explore mathematical ideas through play and planned investigations. Students are involved in creative and critical thinking, problem solving, process skill development, and communication.Grades K-1