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+ | |

In this activity, based on the picture book "Counting on Frank" by Rod Clement, students explore and compare the volume of different containers using standard and non-standard units of measure. Through this activity students develop an understanding of why standard units may be preferable to non-standard units. The activity includes a suggested lesson sequence with guide questions throughout. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

This interactive applet allows users to investigate the formula for the volume of a rectangular prism. In their exploration, students can change any one, two or even all three dimensions of the prism and analyze how the change affects the volume. | Activity, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

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 | |

For teachers of grade 5, NCTM offers online resources, many interactive, that support teaching of the specific areas defined by NCTM as Focal Points. Focal points are clusters of related knowledge, skills, and concepts, and for Grade 5 they are Division of Whole Numbers, Fractions and Decimals and 3-D Shapes. Commentary and links to Focal Points for grades K-8 are provided. Links to background information and further training opportunities are provided. | Curriculum, Reference Materials Grade Level: 5 | |

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 | |

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 interactive applet demonstrates volume as the number of unit cubes needed to fill a rectangular solid. The learner sees an animation and answers questions about the capacity of a box. The student can then ask for other problems where just the 3D dimensions are given and the volume is requested. | Activity, Interactive Media Grade Level: 5 |