## Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Measurement and Data
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

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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
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
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
This question and answer service for math students and their teachers offers a searchable archive all about measurement at the elementary level.
Reference Materials, Community
Grade Level: 3, 4, 5, 6+
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
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 series of 13 brief videos (1 to 14 min. each) features practical strategies to promote student voice within the mathematics classroom. Ontario teacher Carrie Byer describes and demonstrates how respectful interactions, student engagement, accountable talk, and dynamic groupings create a community of math learners. The videos highlight a three-part problem-solving lesson involving volume, surface area, and the relationship between them. Print resources include a Viewer's Guide, related monographs, graphic organizers, and a Lesson Plan (pdf and doc formats)
Instructional Strategy, Lesson Plans, Video
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
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