Type:

Other

Description:

In this lesson for grades 6-12, learners explore the relationship between dimension and volume. Using colored paper, students create two rectangular prisms and two cylinders to determine which holds more popcorn. They then justify their conclusions by analyzing the formulas and identifying dimensions with the largest impact on volume. Editor's Note: This activity presents an excellent opportunity for students to gain real insight into why increasing the radius of a cylinder has more impact on volume than increased height. It will also promote understanding of why the formulas for calculating volume work. This resource includes lesson objectives, teaching tips, and student worksheets with answer keys provided. It is part of a larger collection of activities developed by the National Council of Teachers of Mathematics (NCTM).

Subjects:

  • Mathematics > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12

Keywords:

cylinder,Grade 6,NSDL,Grade 5,Grade 8,rectangular prism,measurement,Mathematics,General Physics,Grade 7,Upper Elementary,Measurement/Units,Other Sciences,Informal Education,Middle School,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-102,volume,Elementary School,Physics,oai:nsdl.org:2200/20130508142701592T,Units and Dimensional Analysis,geometry

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

None
Update Standards?

CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

CCSS.Math.Content.5.MD.C: Common Core State Standards for Mathematics

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

CCSS.Math.Content.5.MD.C.3: Common Core State Standards for Mathematics

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

CCSS.Math.Content.5.MD.C.3b: Common Core State Standards for Mathematics

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

CCSS.Math.Content.5.MD.C.5: Common Core State Standards for Mathematics

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

CCSS.Math.Content.5.MD.C.5b: Common Core State Standards for Mathematics

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.

CCSS.Math.Content.5.G.A: Common Core State Standards for Mathematics

Graph points on the coordinate plane to solve real-world and mathematical problems.

CCSS.Math.Content.5.G.A.2: Common Core State Standards for Mathematics

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

CCSS.Math.Content.7.G.B: Common Core State Standards for Mathematics

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

CCSS.Math.Content.7.G.B.6: Common Core State Standards for Mathematics

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 prisms.

CCSS.Math.Content.8.G.C: Common Core State Standards for Mathematics

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

CCSS.Math.Content.8.G.C.9: Common Core State Standards for Mathematics

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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