6.NS.4 SWBAT find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Scenario: You are in charge of "staging" the wedding reception for a Top Chef 2.0 television episode. The set has enough room for 48 guests. Your stage crew will have the day to prepare for this portion of the episode. Prepare a visual for the producer to review and be prepared to discuss each job.
Job #1: Determine several different seating arrangements that will accommodate 48 people.
Job #2: Your team must order party supplies (plates, cups, and napkins). Supplies: Plates (pkg. of 10), Napkins (pkg. of 16), Cups (pkg. of 8) What is the least number of packages that can be purchased to have the same number of each? (Remember: Left over supplies can be used for future events.)
Job #3: Your final task is to purchase two different party favors for the wedding guests. Every second guest will receive the first party favor and every third guest will receive the second party favor. You will have a $400 budget. Some questions to think through are listed below.
-What are you buying and what is the cost of each item? -How many guests will receive the first party favor? Second? -How many guests will receive both party favor? -What is the final cost?