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 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 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 set of lessons guides students in the making of the Sierpinski Triangle, Jurassic Park fractal, and Koch Snowflake, both with paper and pencil, and with Java applets. Accompanying articles, written for children, explain the properties of fractals (self-similarity, fractional dimension, formation by iteration) and answer the questions "Why study fractals? What's so hot about fractals, anyway?" | Activity, Interactive Media, Lesson Plans, Unit of Instruction Grade Level: 4, 5 | |

This iOS app is an open-ended tool for exploring a variety of mathematical topics. Learners stretch colored bands around pegs to form line segments and polygons in order to make discoveries about perimeter, area, angles, congruence, and fractions. Users can switch from a 25-peg board to an expanded 150-peg board and fill in the interior of shapes with transparent color. | Interactive Media, Mobile App Grade Level: K, 1, 2, 3, 4, 5 | |

In this activity students apply their knowledge of triangle properties. It asks students to sort three types of triangles based on angle and side comparisons, while ignoring the size and orientation differences. Students can work online with an interactive Flash applet, or on a printed sheet (included). The Teachers' Notes page includes suggestions for implementation, discussion questions, and ideas for extension. | Activity, Interactive Media Grade Level: 2, 3, 4 | |

Users are introduced to simple programming concepts and learn about geometry by navigating a "turtle" around the screen and creating colorful geometric artwork. Users can command the turtle to move forward or backward, turn right or left a specified number of degrees, and change the color of its trail. | Interactive Media, Tools Grade Level: 3, 4, 5 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Four student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: 4 |