Title:
Designing a Soda Can Subject/Course: Geometry Topic:
Volume of Cylinders Grade(s): 912 Designer(s):
Michelle_Houston, et._al 

Stage
1 – Desired Results 

Established
Goal(s) The purpose of this activity is to investigate the
relationship between the dimensions of a cylinder of known volume. The
dimensions needed for minimum surface area are also calculated. 

Understanding(s)
Students
will understand that... 1. Geometric solids
have volume 2.
This volume varies as the
height and radius of the solid changes 3.
Geometric solids have
surface area 4.
This area varies as the
dimensions change 
Essential
Question(s) 1.
How is volume
calculated for a cylinder? 2.
How does the
volume change as the height changes? As the radius changes? 3.
How is the Surface
area of a cylinder calculated? 4.
How does the SA
change as the height changes? As the radius changes? Q 
Students will know...Properties of a cylinder K 
Students will be able to... Calculate the volume and
surface area of a cylinder. S 
Stage 2
– Assessment Evidence 
Performance
Task(s) Summary in G.R.A.S.P.S. form · Use a cylinder of known volume to investigate the relationship between the dimensions of a cylinder and volume. · Find the dimensions needed to minimize the surface area. T · You are a packaging designer at a soft drink company · Your audience is the board of directors · Your situation is to design packaging for drink cans · Your purpose is to minimize costs of producing a product by minimizing the use of raw materials in the packaging · Your success is based on your ability to analyze the changing dimensions and decide on the optimal design 
Key Criteria: (enter key criteria here) 
Other
Evidence Assessment of student work Written evidence to
justify work Quizzes to demonstrate
mastery of calculating volumes and surface area of cylinders 
Stage 3
– Learning Plan 
Learning
Activities Consider the W.H.E.R.E.T.O. elements. 
1.
Divide class into groups of 2 or 3 2.
Give each group handout, beverage cans of varying size
and metric rulers 1.
Each group should follow the guidelines in the attached
handout. 2.
Review student results: as a class, discuss the outcome of
each group; reteach concepts as needed. 