Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

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This 68-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 5 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-4. | Instructional Strategy, Reference Materials Grade Level: 5 | |

This web page provides links to resources aligned to the CCSS that guide and support fifth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 5 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 5 | |

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 5.G1 through 5.G4. It also has links to supplementary literature and learning materials. | Activity, Problem Set, Image Set Grade Level: 5 | |

This problem challenges students to use their knowledge of the coordinate plane in conjunction with their knowledge about quadrilaterals and symmetry. Included with this task are tips on getting started, student solutions, a teacher resource page, and a printable version of the problem. | Activity Grade Level: 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about two-dimensional geometry at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This Web unit introduces the coordinate plane with the help of Sam the Chameleon, who illustrates how to find points on a number line and graph points in the coordinate plane. A link to a Java applet for graphing with Sam is included. | Tutorial, Unit of Instruction, Reference Materials Grade Level: 4, 5, 6+ | |

This narrative document describes the progression of Geometry across the K-6 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometry in three categories, namely, geometric shapes and their categories, composing and decomposing geometric shapes, and spatial relations and spatial structuring. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5, 6+ Resource is part of a PD collection | |

This game (Java) requires students to use their knowledge of the coordinate plane to defend the carrot from the gophers. Students place carrot launcher, ruby drills, and garlic rays at strategic locations (ordered pairs) throughout the coordinate plane. | Game, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive Java applet allows users to plot a "house" on a -10 by 10 coordinate plane. A "view" mode allows users to enter an ordered pair and move the house to that location. The "guess" mode randomly plots the house on the plane and the user must enter the ordered pair for its location. An optional scoring feature allows users to keep track of the number correct. | Activity, Game, Interactive Media Grade Level: 4, 5, 6+ | |

GeoGebra is Java based software which can be downloaded or run through a browser to dynamically model geometry and algebra concepts. The robust interface allows the user to construct either algebraic or geometric mathematical objects on a Cartesian coordinate plane and manipulate those objects through both of their algebraic and geometric forms. Users can design GeoGebra sketches for other users to address specific concepts. Inputs include: points, lines, perpendicular or parallel lines, circles, polygons, conic sections, angles, and transformations of existing objects. | Tools Grade Level: 3, 4, 5, 6+ |