A Mathematics Unit for High-Ability Learners in Grades 3-5
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.
Table of Contents
Part I: Introduction Introduction to the Unit Assessment Unit Glossary Part II: Background for Teachers The van Hiele Levels of Geometric Understanding Part III: Lesson Plans Preassessment Lesson 1: Classifying Triangles Lesson 2: Properties of Quadrilaterals Lesson 3: Areas of Triangles Lesson 4: Areas of Parallelograms and Kites Lesson 5: Areas of Trapezoids Lesson 6: Perimeter vs Area in Rectangles Lesson 7: Polygon Patterns Lesson 8: The Particulars of Polyhedra Lesson 9: Geometry Beyond the Textbook Postassessment References About the Authors Common Core State Standards Alignment
The Center for Gifted Education at The College of William and Mary, a research and development center, was established in 1988 under the direction of Dr. Joyce VanTassel-Baska. The center provides services to educators, policy makers, graduate students, researchers, parents, and students in support of the needs of gifted and talented individuals. Located in Williamsburg, VA, the center has established a national reputation for excellence in research, curriculum development, and service. Several major grants, including funding from the Jacob K. Javits Gifted and Talented Students Education Act, have provided significant support for the work of the Center.
Marguerite M. Mason, Ph.D., is a professor of curriculum and instruction at the School of Education at the College of William and Mary. She specializes in the preparation of preservice and inservice teachers in mathematics education.