Geometry

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

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This 75-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 4 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-3 and 5. | Instructional Strategy, Reference Materials Grade Level: 4 | |

This web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route. | Activity, Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 4 | |

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 4.G1 through 4.G3. It also has links to supplementary literature and learning materials. | Activity, Problem Set, Image Set Grade Level: 4 | |

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+ | |

With this interactive Java Sketchpad applet students use spatial reasoning and measurement skills to explore quadrilateral kites. The vertices can be manipulated as kite properties are maintained. Also included are tasks that focus the learner's manipulations. | Activity, Interactive Media Grade Level: 3, 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 activity allows students to explore reflective symmetry. They are asked to color a given arrangement of triangles in symmetric patterns using specific numbers of colors. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support, and printable sheets | Activity Grade Level: 1, 2, 3, 4 | |

These 3 activities, part of the Mathematics Developmental Continuum of the State of Victoria, Australia, are intended to introduce learners to demonstrating congruence and line and rotational symmetry through the use of transformations. Hands on activities and computer software are employed. Supporting documents, materials, and progress indicators are included. | Activity, Instructor Guide/Manual, Illustration Grade Level: 3, 4, 5 Resource is part of a PD collection | |

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 website is a resource for teachers and students looking for real world geometry and measurement applications. The website houses a comprehensive catalog of the flags of nations and other entities. The images, descriptions, colors, symbolisms, measurements and proportions are detailed for each flag. | Data Sets Grade Level: 6+ |