5.MD.4 - About the Math, Learning Targets, and Rigor

Grade 4 G/T Geometry and Measurement

5.MD.4

About the Math

Full Standard

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

 

Learning Targets (I can)

  • Estimate the volume of a solid figure.
  • Measure the volume of a solid figure by filling it with cubes and counting the number.

 

About the Math

This standard builds on the concept of volume introduced in grade 5. Essential vocabulary for this standard includes: volume, unit, cube, and cubic units. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 4 G/T

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
     
  • Estimate the volume of a solid figure.
  • Measure the volume of a solid figure by filling it with cubes and counting the number.

 

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 3 Grade 6
  • Recognize area as an attribute of plane figures (3.MD.5)
  • Find the volume of prisms with formula and fractional edge lengths (6.G.2)

 

 

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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction.

  • A prism was made with four layers each of nine cubes. What other ways can you make a prism with the same volume as that one?
  • Create two different shapes with a volume of 32 cubic inches. What are the dimensions of each shape?
  • A rectangular prism has a volume of 36 cubic units and one of its dimensions is 3. What might the other dimensions be?
  • A factory has a box with the dimensions 3 in x 2 in x 5 in. Can you design a box that will hold twice as much? What will the dimensions be? What is another possibility?
  • Two prisms are joined together and have a combined volume of 60 cubic units. What could be the dimensions of the two prisms? (for example: 2 x 4 x 3 = 24 and 9 x 2 x 2 = 36 so together they equal 60 cubic units)

 

SLIDE-BASED TASKS 

 These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Module 11 • Volume

Find Volume by Counting Cubic Units:

 

 

Additional Tasks 

These links provide instructional ideas connected to this standard.

 

Tasks From Print Resources

These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them. 

Print Resources
Book Thumbnail Book Title Grade Pages

 

Teaching Student-Centered Mathematics

 

3-5

 

Box Comparisons-Cubic Units, Activity 9.10, Page 267
Hands-On Standards 5-6 144 "Volume of a Rectangular Solid"
Brain Compatible Activities for Mathematics 4-5 107-109

Math In Practice

Teaching Fifth-Grade Math

 5 Module 13

 

 

 

 

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

 

 

 

 

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

 These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

 

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Assessment

Learning Targets

rubric

  • Estimate the volume of a solid figure.
  • Measure the volume of a solid figure by filling it with cubes and counting the number.

 

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading. 

 

 

 

 

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 This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.