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 | |

In this problem students study motion along a path and the properties of a parallelogram. Students must navigate back to a starting point after traveling three legs in cardinal directions on a compass. Ideas for implementation, extension and support are included. | Activity Grade Level: 3, 4, 5 | |

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 interactive Flash lesson gives students practice in classifying triangles and measuring angles. Despite its title, the lesson explains, compares and contrasts acute, obtuse, right, scalene, isosceles and equilateral triangles. Students are given practice using a virtual protractor to aid in the classifications. A Teacher Guide (pdf) is available [see #5 at MathActive Lessons for Grades 5-6, cataloged separately]. The lessons list also includes links to Spanish, Navajo, and non-voiced versions of this lesson. | Activity, Interactive Media, Tutorial Grade Level: 4, 5, 6+ | |

This set of eight interactive activities lets the user explore angles from many different perspectives. Activities include (1) visualizing the size of an angle; (2) examining objects that will stand or fall with right and non-right angles; (3) identifying obtuse, right, acute and straight angles; (4) guessing angle measures with different levels of precision; (5) exploring regular shapes and their angle measures; (6) studying angles in a fractal tree that is drawn with user inputs of the same angle measure between the branches at each stage; (7) exploring angle measures through firing a cannon (8) drawing with a Logo activity. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

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+ | |

In this interactive, learners see the attributes that identify and distinguish right triangles from others, and use precise terms to describe them and their components. At various stages questions are provided to encourage students to make connections among right triangles and objects in the real world. A link is provided to see examples of right triangles used in rug designs. | Activity, Interactive Media, Tutorial Grade Level: 3, 4 | |

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 |