Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

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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 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 Technology Problem of the Week (tPoW) presents a two-dimensional view of a three-dimensional "house" of cubes, and asks "What is the largest number of cubes that I could have used to make my house? What is the smallest number of cubes that I could have used to make my house?" It links to the Java applet "building houses with side views." Solve and explain your solution; download hints and answer checks. Free registration is required. | Illustration Grade Level: 5 | |

This narrative document describes the progression of Geometric Measurement across the K-5 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 geometric measurement. Among those are recognizing measurable attributes, comparing, connecting with number, estimating, and differentiating linear measurement from area and volume. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Five 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: 5 | |

In this 24-minute professional development video, students apply their problem solving and measurement skills to estimate the amount of money, in dollar bills, that will fit into a given suitcase. Educators can observe the teamwork, communication, and the problem solving strategies students use and hear the instructor's comments. Support Materials include a Measurement: Million Dollar Giveaway Lesson Plan. | Activity, Instructional Strategy, Lesson Plans, Video Grade Level: 5, 6+ Resource is part of a PD collection | |

This interactive Java applet allows users to investigate surface area and volume of rectangular and triangular prisms by dynamically changing each of the three dimensions with a slider bar. In Explore mode users change the dimensions and view the effect on the prism and on the measures of surface area and volume. In Compute mode, the applet randomly displays a prism and the user computes its surface area and volume. Options include prism type, viewing angle, several 3D drawing options, and an optional scoring feature that tracks the number correct. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This one and a half minute video shows a classroom of students working on an activity that utilizes linking cubes to demonstrate the relationship between three-dimensional shapes and their volume. Included with the video is a background essay on volume and discussion questions. | Activity, Video Grade Level: 3, 4, 5 |