# Engineering in the K-12 Classroom: Math and Science Education for the 21st-Century Workforce

## CONTENTS OF CURRICULUM UNIT 12.04.05

## The Mathematics of a Warming Arctic

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## Appendix: Connecting to the Mathematics Standards

This unit adheres to the Common Core Curriculum framework for geometry. The following standards are especially applicable:

1) (G-GMD.1) Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

2) (G-GMD.4) Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

3) (G-MG.1) Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

4) (G-MG.2) Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

5) (G-MG.3) Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).