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

Grade 5 Measurement

5.MD.5

Full Standard

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

  1. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes (e.g., to represent the associative property of multiplication).
  2. Apply the formulas V = l × w × h and  V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole- number edge lengths in the context of solving real world and mathematical problems.
  3. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

5th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement, data and statistics.

4th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement and geometry.

 

Learning Targets (I can)

  • Determine the volume of a rectangular prism.
  • Explain multiplication of the area of the base x the height will result in the volume.
  • Relate finding the product of three numbers to finding volume.
  • Explain how the associative property can be applied to finding volume.
  • Use a formula for finding the volume of a rectangular prism.
  • Decompose irregular figures into rectangular prisms.

 

 

About the Math

This standard builds on the ideas of volume established in grade 5. Essential vocabulary for this standard includes: volume, unit, cube, cubic units, rectangular prism, and additive. 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 5

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
   
  • Determine the volume of a rectangular prism.
  • Explain multiplication of the area of the base x the height will result in the volume.
  • Relate finding the product of three numbers to finding volume.
  • Explain how the associative property can be applied to finding volume.
  • Use a formula for finding the volume of a rectangular prism.
  • Decompose irregular figures into rectangular prisms.

 

 

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 4 Grade 6
  • Apply the area formula for rectangles in real world and mathematical problems (4.MD.3)
  • Find the volume of prisms with formula and fractional edge lengths (6.G.2)

 

 

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