Lesson Plan

Calculating Surface Area and Volume in the Real World

Alignments:

Grade Levels

Related Academic Standards

Assessment Anchors

Eligible Content

Big Ideas

Concepts

Competencies

Objectives

The lesson focuses on attainment of procedural knowledge and conceptual understanding, related to surface area and volume. Students will:

  • draw nets from rectangular prisms, in order to solve surface area problems.
  • calculate the surface area and volume of rectangular prisms and cubes.
  • solve real-world problems, involving surface area and volume, using a variety of problem-solving strategies.


Essential Questions

  • How can recognizing repetition or regularity assist in solving problems more efficiently?
  • How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real-world situations or solve problems?
  • How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?
  • How can geometric properties and theorems be used to describe, model, and analyze situations?


Vocabulary

  • Congruent Figures: Figures that have the same size and shape. Congruent angles have the same measure; congruent segments have the same length.
  • Cylinder: A solid that has two parallel, congruent bases (usually circular) connected with a curved side.
  • Net: A two-dimensional shape that can be folded to create a three-dimensional figure.
  • Prism: A three-dimensional solid that has two congruent and parallel faces that are polygons. The remaining faces are rectangles. Prisms are named by their bases.
  • Surface Area: The sum of the areas of all of the faces of a three-dimensional figure.
  • Volume: The amount of space found within a solid.


Duration

90–120 minutes


Prerequisite Skills


Materials


Related Unit and Lesson Plans


Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

  • Interactives from Annenberg Media

http://www.learner.org/interactives/geometry/area_surface.html

http://www.learner.org/interactives/geometry/area_volume.html

  • Wolfram Demonstrations

http://demonstrations.wolfram.com/RectangularPrisms/

 

  • Small group practice worksheets

http://www.mathatube.com/files/Volume_of_a_Rectangular_Prism_worksheet_1.pdf 

  • Expansion activity

http://www.nrcs.k12.oh.us/Downloads/Comparing%20Surface%20Area%20and%20Volume%20Typed.pdf



Formative Assessment

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