Classroom Resource

Candy Volume

Subject Area

Mathematics

Grade(s)

5, 6, 7

Overview

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. 

Mathematics (2019) Grade(s): 5

MA19.5.18

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.

Unpacked Content

UP:MA19.5.18

Vocabulary

  • Volume
  • Cube
  • Cubic unit
  • Unit cube
  • Space
  • Three-dimensional
  • Attribute

Knowledge

Students know:
  • strategies or the formula to find the area of a rectangle.

Skills

Students are able to:
  • Count unit cubes to find volume.
  • Demonstrate volume by packing a solid figure with unit cubes.

Understanding

Students understand that:
  • volume represents the amount of space enclosed in a three-dimensional figure and is measured by the number of same-size cubes that exactly fill the interior space of the object.
Mathematics (2019) Grade(s): 6

MA19.6.28

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

Unpacked Content

UP:MA19.6.28

Vocabulary

  • Right rectangular prism
  • V = b h (Volume of a right rectangular prism = the area of the base x the height)

Knowledge

Students know:
  • Measurable attributes of objects, specifically volume.
  • Units of measurement, specifically unit cubes.
  • Relationships between unit cubes and corresponding cubes with unit fraction edge lengths.
  • Strategies for determining volume.
  • Strategies for finding products of fractions.

Skills

Students are able to:
  • Communicate the relationships between rectangular models of volume and multiplication problems.
  • Model the volume of rectangles using manipulatives.
  • Accurately measure volume using cubes with unit fraction edge lengths.
  • Strategically and fluently choose and apply strategies for finding products of fractions.
  • Accurately compute products of fractions.

Understanding

Students understand that:
  • The volume of a solid object is measured by the number of same-size cubes that exactly fill the interior space of the object.
  • Generalized formulas for determining area and volume of shapes can be applied regardless of the level of accuracy of the shape's measurements (in this case, side lengths).
Mathematics (2019) Grade(s): 7

MA19.7.22

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.

Unpacked Content

UP:MA19.7.22

Vocabulary

  • Area
  • volume
  • Surface area
  • Two-dimensional figures
  • Three-dimensional solids
  • Triangles
  • quadrilaterals
  • polygons
  • Cubes
  • Right rectangular prisms

Knowledge

Students know:
  • that volume of any right prism is the product of the height and area of the base.
  • The volume relationship between pyramids and prisms with the same base and height.
  • The surface area of prisms and pyramids can be found using the areas of triangular and rectangular faces.

Skills

Students are able to:
  • find the area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
  • Use a net of a three-dimensional figure to determine the surface area.
  • Find the volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

Understanding

Students understand that:
  • two-dimensional and three-dimensional figures can be decomposed into smaller shapes to find the area, surface area, and volume of those figures.
  • the area of the base of a prism multiplied by the height of the prism gives the volume of the prism.
  • the volume of a pyramid is 1/3 the volume of a prism with the same base.
Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.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]

Unpacked Content

UP:MA19.7A.39

Vocabulary

  • Area
  • volume
  • Surface area
  • Two-dimensional figures
  • Three-dimensional solids
  • Triangles
  • quadrilaterals
  • polygons
  • Cubs
  • Right rectangular prisms

Knowledge

Students know:
  • That volume of any right prism is the product of the height and area of the base.
  • The volume relationship between pyramids and prisms with the same base and height.
  • The surface area of prisms and pyramids can be found using the areas of triangular and rectangular faces.

Skills

Students are able to:
  • Find the area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
  • Use a net of a three-dimensional figure to determine the surface area.
  • Find the volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

Understanding

Students understand that:
  • Two-dimensional and three-dimensional figures can be decomposed into smaller shapes to find the area, surface area, and volume of those figures.
  • The area of the base of a prism multiplied by the height of the prism gives the volume of the prism.
  • The volume of a pyramid is 1/3 the volume of a prism with the same base.
Link to Resource
https://aptv.pbslearningmedia.org/resource/mgbh.math.md.candy/candy-volume/

CR Resource Type

Audio/Video

Resource Provider

PBS
Accessibility
License

License Type

CUSTOM

Custom License Type (URL)

https://aptv.pbslearningmedia.org/help/terms-of-use/

Approved Date

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