Which table would you need the least? Show how you know. Choose two types of tables and draw your method for seating all 36 relatives for the family reunion. Write a number sentence to describe what you’ve drawn. Suppose the only tables you had were pentagonal. Explain how you would seat all of your relatives. FORMATIVE ASSESSMENT QUESTIONS What combinations of tables have you tried so far? How will you know when you find the right combination? Do you think there is more than one right solution for this task? Why do you think so? Do you have a way of finding out? How many _____ (square, circular, hexagonal, rectangular, or pentagonal) tables do you need? How do you know? DIFFERENTIATION Extension Use square tables that seat one person to a side, but this time push the tables together end to end and find out how many relatives can be seated. Continue adding tables this same way until you have enough tables to seat everyone. Enter the information in a table and describe any patterns you see. How many square tables pushed end to end would it take? # People # Tables Sketch Number Pattern Seated (1 x 4) - 0 = 4 1 4 (1 x 2) + 2 = 4 (2 x 4) 2 = 6 – 2 6 (2 x 2) + 2 = 6 (3 x 4) 4 = 8 – 3 8 (3 x 2) + 2 = 8 (4 x 4) 6 = 10 – 4 10 (4 x 2) + 2 = 10 (4 x 5) 8 = 12 – 5 12 (5 x 2) + 2 = 12 . . . (17 x 2) + 2 = 36 17 36
Which table would you need the least? Show how you know. Choose two types of tables and draw your method for seating all 36 relatives for the family reunion. Write a number sentence to describe what you’ve drawn. Suppose the only tables you had were pentagonal. Explain how you would seat all of your relatives. FORMATIVE ASSESSMENT QUESTIONS What combinations of tables have you tried so far? How will you know when you find the right combination? Do you think there is more than one right solution for this task? Why do you think so? Do you have a way of finding out? How many _____ (square, circular, hexagonal, rectangular, or pentagonal) tables do you need? How do you know? DIFFERENTIATION Extension Use square tables that seat one person to a side, but this time push the tables together end to end and find out how many relatives can be seated. Continue adding tables this same way until you have enough tables to seat everyone. Enter the information in a table and describe any patterns you see. How many square tables pushed end to end would it take? # Tables # People Seated Sketch Number Pattern 1 4 (1 x 4) - 0 = 4 (1 x 2) + 2 = 4 2 6 (2 x 4) – 2 = 6 (2 x 2) + 2 = 6 3 8 (3 x 4) – 4 = 8 (3 x 2) + 2 = 8 4 10 (4 x 4) – 6 = 10 (4 x 2) + 2 = 10 5 12 (4 x 5) – 8 = 12 (5 x 2) + 2 = 12 . . . 17 36 (17 x 2) + 2 = 36
CCGPS_Math_3_Unit2Framework.docx