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Mathematics - Elementary Curriculum Mathematics Grade 5
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Strand: MEASUREMENT AND DATA (5.MD)

Convert like measurement units within a given measurement system (Standard 5.MD.1). Represent and interpret data (Standard 5.MD.2). Understand concepts of geometric measurement and volume, as well as how multiplication and addition relate to volume (Standard 5.MD.3-5).

Standard 5.MD.5

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

  • Grade 5 Math Module 5: Addition and Multiplication with Volume and Area (EngageNY)
    In this 25-day module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4's work with two-dimensional figures and Grade 6's work with volume and area.
  • Grade 5 Unit 6: Volume and Measurement (Georgia Standards)
    In this unit students will change units to related units within the same measurement system by multiplying or dividing using conversion factors, use line plots to display a data set of measurements that includes fractions, use operations to solve problems based on data displayed in a line plot and recognize volume as an attribute of three-dimensional space.
  • Measurement and Data (5.MD) - Fifth Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fifth Grade Mathematics - Measurement and Data (5.MD)
  • Representing Volume and Surface Area of Right Rectangular Prisms with Unit Cubes
    This video is a demonstration of calculating the volume of a right rectangular prism. It also explains the "true meaning" of volume with unit cubes. Students are then asked to create various structures with the same volume but differing surface areas. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Understanding Concepts of Volume and Measurement: Bianca's Babysitting Blues
    Bianca the babysitter has a dilemma, she has two differently shaped bottles to feed the twins. How can she determine the volume of them so that she can give the babies equal amounts of formula? NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Using Volume to Understand the Associative Property of Multiplication
    The purpose of this task is for students to use the volume of a rectangular prism to understand the associative property of multiplication.
  • Volume of Right Rectangular Prisms
    This video demonstrates for students how unit cubes can be used to model the formula for calculating the volume of right rectangular prisms. The students then build prisms from unit cubes in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Volume of Shapes Composed of Right Rectangular Prisms
    This video shows students how to find the volume of right rectangular prisms by using unit cubes. They then apply this understanding to classroom activities. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • You Can Multiply Three Numbers in Any Order
    The purpose of this task is for students to use the volume of a rectangular prism to see why you can multiply three numbers in any order you want and still get the same result.


UEN logo http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialists - Trish  French or Molly  Basham and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.