ALEX Resources

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

[MA2019] (5) 19 :

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

a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.

b. Apply the formulas V = l x w x h and V = B x 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.

c. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve real-world problems.

This activity is a hands-on inquiry math lesson where students are asked to prove how many sugar cubes are in a box.  They will measure the volume of a rectangular prism by counting non-standard units and make a connection to multiplying the three edge lengths in the standard formula.

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

[MA2019] (5) 19 :

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

a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.

b. Apply the formulas V = l x w x h and V = B x 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.

c. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve real-world problems.

This activity is a performance task where students design a locker with a specific volume.  They must create two different rectangular prisms with the same volume and record the length, width, and height of each one.  They must also choose which dimensions are the most appropriate for a locker and use reasoning to support their choice.

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

[MA2019] (5) 19 :

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

a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.

b. Apply the formulas V = l x w x h and V = B x 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.

c. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve real-world problems.

This activity introduces students to volume by encouraging them to consider how to measure solids in three dimensions.  Students are presented with multiple arrays and must count objects to measure volume using a non-standard unit.  Students are asked to explain their thinking and engage in mathematical conversations with their peers.

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

[MA2019] (6) 28 :

28. Apply previous understanding of volume of right rectangular prisms to those with fractional edge lengths to solve real-world and mathematical problems.

a. Use models (cubes or drawings) and the volume formulas (V = lwh and V = Bh) to find and compare volumes of right rectangular prisms.

[MA2019] REG-7 (7) 22 :

22. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms.

[MA2019] ACC-7 (7) 39 :

39. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms. [Grade 7, 22]

Estimate the volume you get when you fill 3D shapes with candy. This video focuses on estimating volume using nonstandard units, using the volume equation to get a more reliable estimate, and checking your estimate by counting the nonstandard units. 

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

[MA2019] (5) 19 :

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

a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.

b. Apply the formulas V = l x w x h and V = B x 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.

c. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve real-world problems.

In this unit plan, students will:

• use multiplication to calculate volume.
• use multiplication to connect volume as packing with volume as filling.
• find the total volume of solid figures composed of two non-overlapping rectangular prisms.
• solve word problems involving the volume of rectangular prisms with whole number edge lengths.
• apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.
• apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

   View Standards     Standard(s): [MA2019] (5) 18 :

18. Identify volume as an attribute of solid figures, and measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised (non-standard) units.

a. Pack a solid figure without gaps or overlaps using n unit cubes to demonstrate volume as n cubic units.

In this unit, students will:

• explore volume by building with and counting unit cubes.
• find the volume of a right rectangular prism by packing with cubic units and counting.
• compose and decompose right rectangular prisms using layers.