MAFS.5.MD.3.4Archived Standard

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
General Information
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Measurement and Data
Cluster: Level 1: Recall
Cluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
    Assessed with: MAFS.5.MD.3.3

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5020120: STEM Lab Grade 5 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Measuring Volume:

Students are asked to determine the volume of a rectangular prism by using both a formula and counting cubic units.

Type: Formative Assessment

Volume in Cubic Units:

Students are asked to determine the volume of a rectangular prism in cubic units.

Type: Formative Assessment

Volume With Improvised Units:

Students determine how many improvised units of volume will fill a large box.

Type: Formative Assessment

Find the Volume:

Students are asked to count unit cubes to determine the volume of a right rectangular prism.

Type: Formative Assessment

Lesson Plans

Volume, Mass, and Density Boxes:

This activity was designed for blind learners, but all types of learners can utilize it to investigate volume, mass, and density. The learner will create several boxes with different materials in each. They will then compare the sizes and masses and do the math to figure the densities. Educators could also create a data collection chart for this activity.

Type: Lesson Plan

Volume: It's All About the Count:

In this lesson, students will learn the concept of volume as an attribute of solid figures, using unit cubes in various arrangements with a focus on rectangular prisms.

Type: Lesson Plan

Manipulating Cubic Units:

Students will recognize volume as an attribute of solid figures and understand concepts of volume measurement. They will measure volumes by counting unit cubes, using cubic centimeters and cubic inches.

Type: Lesson Plan

Pump Up the Volume:

In this 5E lesson, the students will explore the concept of volume. The students will build rectangular prisms, identify the dimensions of the prism and discover the volume of the prism.

Type: Lesson Plan

Finding Volume (Utah Education Network):

In this lesson students will learn how to calculate and compare volumes of rectangular prisms.

Type: Lesson Plan

Building Rectangular Prisms Part 1:

This is the first part of a two-part volume lesson. In this lesson, students will build foundational concepts for volume and count cubes to find volume. In the second part lesson Building Rectangular Prisms Part 2 (attached), students will discover the volume formulas length x width x height and base x height as they build rectangular prisms. They will use the formulas to find volume in real world situations.

Type: Lesson Plan

Original Student Tutorial

Building Blocks of Volume :

Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Tasks

Computing Volume Progression 1:

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

Type: Problem-Solving Task

Surface Area and Volume:

In this activity, students adjust the dimensions of either a rectangular or triangular prism and the surface area and volume are calculated for those dimensions. Students can also switch into compute mode where they are given a prism with certain dimensions and they must compute the surface area and volume. The application keeps score so students can track their progress. This application allows students to explore the surface area and volume of rectangular and triangular prisms and how changing dimensions affect these measurements. This activity also includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Problem-Solving Task

Teaching Idea

Volume of Rectangular Prisms:

This lesson is designed to introduce students to the concept of volume and how to find the volume of rectangular prisms. This lesson provides links to discussions and activities related to volume as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Teaching Idea

Tutorials

Volume: Four Examples of Counting Unit Cubes:

This Khan Academy tutorial video illustrates measuring volume by counting unit cubes.  Models in this video include composite figure of rectangular prisms although only counting is used to find volume, not an equation.

Type: Tutorial

Volume: How to Measure It:

This Khan Academy tutorial video describes measurement in one, two, and three dimensions.

Type: Tutorial

Unit/Lesson Sequence

Three Dimensional Shapes:

In this interactive, self-guided unit on 3-dimensional shape, students (and teachers) explore 3-dimensional shapes, determine surface area and volume, derive Euler's formula, and investigate Platonic solids. Interactive quizzes and animations are included throughout, including a 15 question quiz for student completion.

Type: Unit/Lesson Sequence

MFAS Formative Assessments

Find the Volume:

Students are asked to count unit cubes to determine the volume of a right rectangular prism.

Measuring Volume:

Students are asked to determine the volume of a rectangular prism by using both a formula and counting cubic units.

Volume in Cubic Units:

Students are asked to determine the volume of a rectangular prism in cubic units.

Volume With Improvised Units:

Students determine how many improvised units of volume will fill a large box.

Original Student Tutorials Mathematics - Grades K-5

Building Blocks of Volume :

Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Building Blocks of Volume :

Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

Computing Volume Progression 1:

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

Type: Problem-Solving Task

Tutorials

Volume: Four Examples of Counting Unit Cubes:

This Khan Academy tutorial video illustrates measuring volume by counting unit cubes.  Models in this video include composite figure of rectangular prisms although only counting is used to find volume, not an equation.

Type: Tutorial

Volume: How to Measure It:

This Khan Academy tutorial video describes measurement in one, two, and three dimensions.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Task

Computing Volume Progression 1:

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

Type: Problem-Solving Task