Perimeter, Area, Volume, and All That: A Study of Measurement

CONTENTS OF CURRICULUM UNIT 19.05.02

  1. Unit Guide
  1. Introduction
  2. Student and School Background Information
  3. Unit Learning Goals
  4. The Unit
  5. Strategies
  6. Activities
  7. Appendix
  8. Bibliography
  9. Notes

SmArt Math: Paper Polyominoes and Ceramic Tetradic Cuboids

Tina Marie Berry

Published September 2019

Tools for this Unit:

Appendix

Being as this is a math project in an art class (or used as an arts integration project in a math class), I have given the standards for art and math, focusing in on the seventh grade. 

7th Grade Art Standards

STANDARD 3: Visual Art Expression: “Creating” The student will observe, select, and utilize a variety of ideas and subject matter in creating original works of art.

Students will design and color their nets before folding and gluing them to create cubes.  After creating tetradic cuboids out of clay students will use additive and subtractive techniques, as well as painting, to create an original final design on their ceramic cuboids. 

STANDARD 4: Visual Art Appreciation: “Connecting” The student will appreciate and utilize visual art to make interdisciplinary connections and informed aesthetic decisions.

This unit is all about interdisciplinary connections.  Students will use math and art to create and design their individual ceramic pieces.

7th Grade Math Standards

7.GM.1 Develop and understand the concept of surface area and volume of rectangular prisms.

By moving from hands on learning with the area of a square to the area of a net, to the volume of a prism, students will get experience in developing and understanding the concepts of surface area and volume of a prism. 

7.GM.1.1 Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism with rational-valued edge lengths can be found by wrapping the figure with same-sized square units without gaps or overlap. Use appropriate measurements such as cm2.

This will be accomplished by using rulers, yardsticks, and a tape measure to gain measuring concepts then moving on to creating nets which measure surface area of a prism.   

7.GM.1.2 Using a variety of tools and strategies, develop the concept that the volume of rectangular prisms with rational-valued edge lengths can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use appropriate measurements such as cm3.

Using individual cubes students will see how the cubes work together to form unit cubes of a larger prism.  This can be shown easily using the Soma Cubes Puzzle.

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