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Describing Unique Buildings

Describing Unique Buildings. Supplies: Cubes, Grid paper, Dot paper, Isometric Dot Paper, Mira Labsheets 3.1, 3.ACE. Finding all the possibilities. Front. Front. Front. Base Outline. Front View. Right View. Construct the building Draw the base plan

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Describing Unique Buildings

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  1. 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 Front View Right 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

  3. 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

  4. 1 1 1 Front Base Plan 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

  5. 2. Look at the different base plans. • What is the least number of rooms for any building? • How many different buildings can be made from the least number of cubes? • What is the greatest number of cubes used for any of the buildings? • 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

  6. 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.

  7. Find a minimal building and the maximal building. Bldg 1 Base outline Front view Right view Connected Mathematics, Ruins of Montarek, p.42

  8. Find a minimal building and the maximal building. Bldg 2 Base outline Front view Right view Connected Mathematics, Ruins of Montarek, p.42

  9. Find a minimal building and the maximal building. Bldg 3 Base outline Front view Right view Connected Mathematics, Ruins of Montarek, p.42

  10. Create a set of building plans where the minimal building is the same as the maximal building. Connected Mathematics, Ruins of Montarek, p.42

  11. The minimal building is the same as the maximal building. Base outline Front view Right view Connected Mathematics, Ruins of Montarek, p.42

  12. A mysterious building. (looking for a minimal building and the maximal building) Base outline Connected Mathematics, Ruins of Montarek, p.43

  13. A mysterious building. (looking for a minimal building and the maximal building) Front view Connected Mathematics, Ruins of Montarek, p.43

  14. A mysterious building. (looking for a minimal building and the maximal building) Right view Connected Mathematics, Ruins of Montarek, p.43

  15. A mysterious building. How might this maximal building be used. Connected Mathematics, Ruins of Montarek, p.44

  16. Complete Labsheet 3.ACE

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