Geometry

Solve real-world and mathematical problems involving area, surface area, and volume.

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Resource | Resource Type Grade Level | Rating |
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This animated PowerPoint presentation uses shearing and the invariance of the area of triangles with congruent bases and heights to show a step-by-step geometric proof of the Pythagorean Theorem. | Demonstration Grade Level: 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 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+ | |

This webpage contains customizable resources that promote evidence-based practices, such as Universal Design for Learning (UDL), and that make use of technology to support the Common Core State Standards (CCSS) for all learners. Resources include Math Instructional Strategy Guides that address effective practices as well as sample lessons and articles that provide strategies for implementing formative assessment, UDL, and technology. | Instructional Strategy, Lesson Plans Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

These 4 activities, part of the Mathematics Developmental Continuum of the State of Victoria, Australia, are intended to introduce learners to the problem solving skills of clarifying questions, making assumptions and choosing a solving strategy. Students are challenged to investigate problems in household math, open-ended planning projects, and Fermi questions. Supporting documents and progress indicators are included. | Activity, Instructor Guide/Manual Grade Level: 3, 4, 5, 6+ Resource is part of a PD collection | |

This Technology Problem of the Week (tPoW) shows a tangram set (one small square, one parallelogram, and triangles of three different sizes), assigns a cost to the smallest triangles, and then challenges students to determine the cost of the other five pieces and the overall value of the complete set. The tPoW further asks what fraction of the area of the large square each piece represents, and the percent of the total area of the large square made up of triangles. It links to the Java applet "Tangrams." Solve and explain your solution; download hints and answer checks. Free registration is required. | Interactive Media, Problem Set Grade Level: 3, 4, 5, 6+ | |

Villainy, Inc. is a website devoted to helping upper elementary grade students build and use problem-solving skills to solve unique and complex mathematical problems. Students become undercover agents working to thwart the evil Dr. Wick, ID and his often-zany schemes to take over the world. Student activities include finding areas of rectangles, calculating with decimals and percents, finding averages, estimating and comparing whole numbers and decimals, all presented in the context of an animated and interactive cartoon story. Students complete one or both of the missions online. Teachers editions for each mission are provided, as well as additional tips, answer keys, printable worksheets and connections to standards. Note that it is not possible to save work online. | Activity, Interactive Media, Video Grade Level: 4, 5, 6+ | |

This video, the first in a series of twelve, is part of the web-based course for K-8 teachers entitled Learning Math: Measurement offered by the Annenberg Foundation. Participants explore procedures for measuring and learn about standard units in the metric and customary systems, the relationships among units, and the approximate nature of measurement. This first video covers measurable attributes, weight and surface area of irregular objects, estimation, precision and accuracy, the independence of area and perimeter, and the choice of unit. | Course, Lesson Plans, Video Grade Level: K, 1, 2, 3, 4, 5, 6+ Resource is part of a PD collection |