Describing Unique Buildings

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Describing Unique Buildings

• Supplies Cubes, Grid paper, Dot paper, Isometric
  Dot Paper, Mira
• Labsheets 3.1, 3.ACE

2
Finding all the possibilities.
Front
Front
Front
Base Outline
Right View
Front View

• Construct the building
• Draw the base plan
• How many different buildings can be made from
  this set of building plans (Draw a base plan for
  each) labsheet 3.1

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1. Of the different base plans you made in
Problem 3.1, are there any squares with numbers
that do not change? If so, identify the squares
with numbers that always remain the same.
Connected Mathematics, Ruins of Montarek, p.41
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1. Of the different base plans you made in
Problem 3.1, are there any squares with numbers
that do not change? If so, identify the squares
with numbers that always remain the same.
Connected Mathematics, Ruins of Montarek, p.41
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2. Look at the different base plans.

1. What is the least number of rooms for any
   building?
2. How many different buildings can be made from the
   least number of cubes?
3. What is the greatest number of cubes used for any
   of the buildings?
4. How many buildings can be made from the greatest
   number of cubes?

• 11
• 2
• 15
• 1 with
• 15 cubes

Connected Mathematics, Ruins of Montarek, p.41
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Minimal Buildings Maximal Buildings
From previous work you may have notice that there
can only be one UNIQUE Maximal Building but there
were many Minimal Buildings.
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Find a minimal building and the maximal building.
Bldg 1
Base outline
Front view
Right view
Connected Mathematics, Ruins of Montarek, p.42
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Find a minimal building and the maximal building.
Bldg 2
Base outline
Front view
Right view
Connected Mathematics, Ruins of Montarek, p.42
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Find a minimal building and the maximal building.
Bldg 3
Base outline
Front view
Right view
Connected Mathematics, Ruins of Montarek, p.42
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Create a set of building plans where the minimal
building is the same as the maximal building.
Connected Mathematics, Ruins of Montarek, p.42
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The minimal building is the same as the maximal
building.
Base outline
Front view
Right view
Connected Mathematics, Ruins of Montarek, p.42
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A mysterious building. (looking for a minimal
building and the maximal building)
Base outline
Connected Mathematics, Ruins of Montarek, p.43
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A mysterious building. (looking for a minimal
building and the maximal building)
Front view
Connected Mathematics, Ruins of Montarek, p.43
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A mysterious building. (looking for a minimal
building and the maximal building)
Right view
Connected Mathematics, Ruins of Montarek, p.43
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A mysterious building.
How might this maximal building be used.
Connected Mathematics, Ruins of Montarek, p.44
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Complete Labsheet 3.ACE