Hansen’s Cakes is a popular bakery in Los Angeles, California. They have created 4 new cakes and need to decide which ones to sell in their bakery. Your job is to determine which cake would be the least expensive to create, package and sell in their bakery. The table below contains some information for each cake. When a customer purchases a cake, Hansen’s will pack the cake in a box. The table below contains the cost and dimensions of the boxes that are available for Hansen’s to use in their bakery. Length (inches) Width (inches) Height (inches) Cost/box 12 12 12 $ 0.78 14 10 4.25 $ 0.40 14 14 8 $ 0.68 16 10 7 $ 0.70 Questions: 1. What size box should Hansen’s choose for each cake? Fill in table below. 2. What is the total cost of each cake (ingredients, labor, box)? Fill in table below. 3. What cake do you recommend Hansen’s sell in their bakery? Basketball Cake 4. Hansen’s wants to wrap each of these cakes in special wrapping paper. How much wrapping paper is needed to wrap 1 cake? 5. Hansen’s wants to build a new display to showcase the cake that you think they should sell. They want to have at least 5 of these cakes in the display case at all times. What size display case do you think they should build? Create a sketch of the case in the space below. Label the dimensions of the display case. Basketball Hamburger Pig Car Ingredient Cost $5.87 $6.45 $5.50 $6.20 Labor Cost $12.25 $13.50 $12.75 $12.80 Dimensions 12” diameter 10 “ height 13” diameter 7.5 “ height 16” x 8” x 6” 15” x 10” x 5.5 “ Basketball Hamburger Pig Car Box Size 12 x 12 x 12 14 x14 x8 16 x 10 x 7 16 x 10 x7 Box Cost $ 0.78 $0.68 $ 0.70 $0.70 Cake Cost $18.12 $19.95 $18.25 $19.00 Total Cost $18.90 $20.63 $18.95 19.70
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Hansen’s Cakes is a popular bakery in Los Angeles, California. They have created 4 new
cakes and need to decide which ones to sell in their bakery. Your job is to determine
which cake would be the least expensive to create, package and sell in their bakery.
The table below contains some information for each cake.
When a customer purchases a cake, Hansen’s will pack the cake in a box. The table below contains the cost and dimensions of the boxes that are
1. What size box should Hansen’s choose for each cake? Fill in table below.
2. What is the total cost of each cake (ingredients, labor, box)? Fill in table below.
3. What cake do you recommend Hansen’s sell in their bakery?
4. Hansen’s wants to wrap each of these cakes in special wrapping paper. How much wrapping paper is needed to wrap 1 cake?
5. Hansen’s wants to build a new display to showcase the cake that you think they should sell. They want to have at least 5 of these cakes in the
display case at all times. What size display case do you think they should build? Create a sketch of the case in the space below. Label the
dimensions of the display case.
Basketball Hamburger Pig Car
Ingredient Cost $5.87 $6.45 $5.50 $6.20
Labor Cost $12.25 $13.50 $12.75 $12.80
Dimensions 12” diameter 10 “ height
13” diameter 7.5 “ height
16” x 8” x 6” 15” x 10” x 5.5 “
Basketball Hamburger Pig Car
Box Size
Box Cost
Ingredient Cost
Labor Cost
Total Cost (box, ingredients, labor)
Problem Based Learning and Common Core, A Natural Connection
SAS Math DayAugust 7, 2014
Fort King Middle School Ocala, Florida
“The Apollo program was designed to land humans on the Moon and bring them safely back to Earth.”
http://www.nasa.gov
Look at the astronaut and the “hose”. What math objectives could be addressed by this picture?
What is PBL?Problem Based Learning
“A form of inquiry-based education , originally invented for medical school, where learning is initiated with an ill structured problem and students learn to direct their own course of study.” Dr. Shelagh Gallagher
PBL keeps students from asking, “Will I ever use this
real life?”
Difference in Problem Based and Project Based?
Project Based Learning
• Multi Disciplinary
• Tend to be lengthy
Problem Based Learning
• Mainly single subject
• Less amount of time
Really, they are very much alike and you can use what works best
for you!
What does that mean for math classes?
Engaged students who find relevance in what they are doing in math classes!
Mr. Christopher Davis, 6th grade math teacher, Rolesville Middle School