Once upon a time, there were three little pigs, Wilbur,

Babe, and Porky. Wilbur decided to build his house of

straw, Babe decided to build a house of wood, and Porky

decided to build a house of brick. . .yeah, we know the

story. . .huff puff, chinny chin chin. . .yadayadayada. The

pig with the brick house always wins! But, what if the

pigs had a different idea? What if they decided to escape

the wolf using Carl’s idea from the movie, UP? Would the

brick house pig still win?

It’s your job to find out!

Project GuidelinesDirections: • In groups, use the information

provided to calculate the weight of your assigned house built using the materials specified.

• Then, calculate the amount of Helium needed to lift the weight of the house, and then the number of balloons needed to hold that much Helium.

• Finally, based on the information provided, decide how much it would cost to lift your house off the ground.

• Your group’s answers should be written on the sheet provided.

• When your group finishes each step, you may collaborate with other groups with the same building materials.

• Provide all calculations in an organized manner on scratch paper. Clearly outline which calculations go with which aspect of the project.

You may• Assume there are no other materials

used to frame the home other than basic brick, hay, and wood (no mortar, no joists, etc.).

Info ProvidedExample• Given: Floor Plan dimensions• House = 1500 square feet (30’ x 50’), 8” wall width (double brick), 8’ wall height• Standard brick dimensions = 8” length x 4”width x 2.5” height• Brick weight = 5 pounds per brick, or 21.5 pounds per cubic foot• Bathroom window dimensions= 2’ x 3’• All Other Windows = 3’ x 5’• Door opening = 3’ x 80”• Weight of Door = 5 lbs per square foot (based on standard thickness)• Bathroom Windows weigh = 45 lbs• All other windows weigh = 90 lbs• Roof = 2100 square feet• Weight of Asphalt Shingle Roof = 2 lbs per square foot• Concrete slab weighs about 145 pounds per square foot of home (assuming a 12” thick slab) • 1 cubic foot of helium can lift approximately 28.2 grams (weight of Helium is included)• 1 pound = 453.6 grams• You will use 12” balloons for your calculations.• The volume of a sphere, • The third little pig weighs 350 pounds.

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Calculations to be submitted• Total cubic foot of house needed to lift (brick only) ______________ • Total weight of house, including roof and floor _______________ • Total cubic foot of Helium needed to lift weight _______________

• Approximate number of 12” balloons needed to lift house ____________

• Given that Helium costs $85 per 1000 cubic foot, and balloons cost $1.00 each, how much would it cost to lift the house off the ground?

_______________

Last Resort ChecklistLast Resort Checklist_________1. Calculate the volume of each wall. Don’t forget to include the thickness for each wall. _________2. Subtract the volume needed for windows and doors (don’t forget to multiply the width of the wall to get

cubic feet instead of square feet).Put this number on your answer sheet.

_________3. Multiply the volume of the walls in cubic feet by the pounds per cubic foot to find the weight of the walls. _________4. Add the weight of the windows and doors._________5. Find the weight of the roof and add it to the total._________6. Find the weight of the floor per the specifications and add that to the total. _________7. Add the weight of the pig.

Put this number on your answer sheet.__________8. Calculate the volume of the balloon in cubic feet. __________9. Calculate the number of cubic feet of helium required to lift one pound. __________10. Multiply the number of cubic feet of helium required to lift one pound by the total weight in pounds of

the house, floor, roof, windows, doors, and pig. Put this number on your answer sheet.

__________11.How many balloons will lift 1 pound? __________12. Calculate the number of balloons needed to lift the house and everything involved.

Put this number on your answer sheet. __________13.Given the cost of Helium, calculate the total cost of the helium to lift the house. __________14.Add the cost of the balloons to the total cost to lift the house.

Put this number on your answer sheet.

RubricTeacher Name: Mrs. Hayden

Student Name: ________________________________________

CATEGORY 4 3 2 1Completion All problems are

completed.All but one of the problems are completed.

All but two of the problems are completed.

Several of the problems are not completed.

Mathematical Errors 90-100% of the steps and solutions have no mathematical errors.

Almost all (85-89%) of the steps and solutions have no mathematical errors.

Most (75-84%) of the steps and solutions have no mathematical errors.

More than 75% of the steps and solutions have mathematical errors.

Mathematical Reasoning Uses complex and refined mathematical reasoning.

Uses effective mathematical reasoning

Some evidence of mathematical reasoning.

Little evidence of mathematical reasoning.

Working with Others Student was an engaged partner, listening to suggestions of others and working cooperatively throughout lesson.

Student was an engaged partner but had trouble listening to others and/or working cooperatively.

Student cooperated with others, but needed prompting to stay on-task.

Student did not work effectively with others.

Neatness and Organization

The work is presented in a neat, clear, organized fashion that is easy to read.

The work is presented in a neat and organized fashion that is usually easy to read.

The work is presented in an organized fashion but may be hard to read at times.

The work appears sloppy and unorganized. It is hard to know what information goes together.

Date Created: Jan 29, 2013 02:42 pm (CST)