Measurement and Data

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

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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 page provides examples of 5th Grade Measurement and Data activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for 5th Grade Measurement and Data Activities listed are in PDF format. | Activity 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 interactive applet helps students visualize and count three-dimensional cubes by seeing animated two-dimensional perspective pictures. The cubes drop into an aggregate rectangular arrangement and must be counted accurately. | Game, Interactive Media Grade Level: 3, 4, 5 | |

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 | |

This Java interactive tool can be used to create dynamic drawings on an isometric dot grid, and to explore volume, surface area, and congruence concepts. Users can draw figures using edges, faces, or cubes and can shift, rotate, color, decompose, and view figures in 2‑D or 3‑D with this applet. Instructions on using and exploring with the tool are included on the page. A related multi-lesson unit from Illuminations for middle school students is linked to the side. | Activity, Interactive Media Grade Level: 5, 6+ |