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Finding Perimeter

Finding Perimeter. Suggested Book to Use: Burns, M. (1997). Spaghetti and Meatballs for All! New York, NY: Scholastic Press. Mr. and Mrs. Comfort invited 30 people to the reunion. So, there will be 32 people eating dinner.

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Finding Perimeter

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  1. Finding Perimeter Suggested Book to Use: Burns, M. (1997). Spaghetti and Meatballs for All! New York, NY: Scholastic Press. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  2. Mr. and Mrs. Comfort invited 30 people to the reunion. So, there will be 32 people eating dinner. If there are 4 people at each table, how many tables and chairs should they rent? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  3. 32  4 = 8 tables Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  4. Mr. and Mrs. Comfort rented 32 chairs and 8 tables! Oh, no! We’re missing a chair! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  5. Mrs. Comfort’s Seating Arrangement is… 8 tables with 4 chairs at each table Each table’s length is 1 unit, and each table’s width is 1 unit. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  6. 1 Unit Perimeter: 1+1+1+1= 4 units 1 Unit 1 Unit 1 Unit 48 = 32 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  7. And their company began to arrive… Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  8. How many chairs did we lose? Why? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  9. We lost 2 chairs because our total perimeter went from 8 units to 6 units. The perimeter of 2 separate tables = 8 units. 4+4 = 8 So, the perimeter of 2 tables pushed together = 6 units. 1+2+1+2 = 6 2 1 1 2 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  10. 6 more people arrived… Now we have 12 total people. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  11. But… is this enough seats for 12 people? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  12. No, because the total perimeter is now 8 units. So, 4 people do not have a chair. 2 2 2 2+2+2+2 = 8 2 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  13. Are there enough seats for the 12 people now? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  14. 2 3 3 2 3+2+3+2 = 10 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  15. No, we need to push together 2 more tables… Now, all 12 people have a seat. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  16. 2 4 4 2 4+2+4+2 = 12 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  17. The Comfort’s neighbors arrived with their 2 children… Now we have 16 people! But wait… We don’t have enough seats! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  18. The total perimeter of the 2 BIG tables is now 16 units. All 16 people have a seat. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  19. 2 2 2 2 2 2 2 2 82 = 16 2+2+2+2 = 8 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  20. Mr. Comfort’s mother and father arrive… We now have 18 people! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  21. What is our new perimeter? Are there enough seats for all 18 people? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  22. The new perimeter is 18 units. All 18 people have a chair! 8 1 1 8 1+8+1+8= 18 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  23. Mrs. Comfort’s mother and father arrive… Now we have 20 people! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  24. Can you figure out the total perimeter of our 2 tables? The total perimeter is 20 units. Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  25. 4 1 1 4 4 1 1 4 1+4+1+4 = 10 10  2 = 20 Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  26. 4 more people arrived… Now we have 24 people! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  27. Does everyone have a chair? So, what is our total perimeter? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  28. 2 2 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1+2+1+2 = 6 6  4 = 24 The total perimeter is 24. Everyone has a chair! Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  29. The final 8 guests arrive… Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  30. What must we do with the tables in order for all 32 people to have a seat? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

  31. Move the tables back to Mrs. Comfort’s original plan! What is the total perimeter? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

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