{"@context":"https://w3id.org/openbadges/v2","id":"https://milestone.campuslabs.com/api/v20/badge/1146543917/","uid":"1146543917","name":"Explorations in Geometry","description":"The Exploration in Geometry badge offers a look at basic geometry from a more sophisticated point of view, including more advanced Euclidean and non-Euclidean geometries. Topics covered may include analytic geometry, spherical geometry, hyperbolic geometry, fractal geometry and transformational geometry. Dynamic geometry software will be an integral part of the course.","type":"BadgeClass","image":"https://milestone.campuslabs.com/milestone/media/badge_image_uploads/2025/01/23/HC_SA_MATHEMATICS_Explorations_in_Geometry_F.png","criteria":{"id":"https://milestone.campuslabs.com/org/1323717515/badge/1146543917","narrative":":multi: This FOUNDATIONAL level badge is equivalent to a 3-credit, master's-level course. A final grade of B or better is required to earn this badge. -- 1.\tCore concepts including angle, parallel, perpendicular, and principles of Euclidean geometry in two and three dimensions.\n2.\tTransformations including dilations, translations, rotations, reflections and glide reflections; compositions of transformations; and the expression of symmetry and regularity in terms of transformations.\n3.\tCongruence, similarity and scaling, and their development and expression in terms of transformations.\n4.\tBasic geometric figures in one, two and three dimensions (line segments, lines, rays, circles, arcs, polygons, polyhedral solids, cylinders, cones and spheres) and their elements (vertices, edges and faces).\n5.\tIdentification, classification into categories, visualization, two- and three-dimensional representations, and formula rationale and derivation (perimeter, area, and volume) of two- and three-dimensional objects (triangles; classes of quadrilaterals such as rectangles, parallelograms and trapezoids; regular polygons; rectangular prisms; pyramids; cones; cylinders; and spheres).\n6.\tGeometric measurement and units (linear, area, surface area, volume and angle), unit comparison, and the iteration, additivity and invariance related to measurements.\n7.\tGeometric constructions, axiomatic reasoning, and making and proving conjectures about geometric shapes and relations.\n8.\tCoordinate geometry including the equations of lines and algebraic proofs (e.g., Pythagorean Theorem and its converse).\n9.\tHistorical development and perspectives of geometry and measurement including contributions of significant figures and diverse cultures.\n10.\tNon-Euclidean Geometries such as Taxicab Geometry and Spherical Geometry.\n11.\tCommon Core State Standards and Maryland College and Career Ready Standards relevant to Geometry and Measurement.. "},"issuer":"https://milestone.campuslabs.com/api/v20/issuer/1323717515/","tags":["Problem Solving","Perseverance","Reasoning","Communication","Mathematical Arguments"],"alignment":[{"targetName":"Communication","targetUrl":"https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes","targetDescription":"The badge earner will communicate clearly and effectively in oral, written and/or visual formats, consistent with the standards of their discipline.","targetCode":"GSO_Comm"},{"targetName":"Critical Reasoning","targetUrl":"https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes","targetDescription":"The badge earner will approach content and tasks with a critical awareness, framed by knowledge and skills appropriate to their discipline.","targetCode":"GSO_CriReas"},{"targetName":"Problem Solving","targetUrl":"https://www.hood.edu/offices-services/institutional-assessment/institutional-learning-outcomes","targetDescription":"The badge earner will apply advanced disciplinary content knowledge and strategies to understand and address problems and questions relevant to their discipline and to which they have not previously been introduced.","targetCode":"GSO_ProbSolv"}]}