How Many Seats Worksheet Page 2

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Task #1. Counting Seats
Each person in your group will get a Tables/Seats slip. Take that number of tables from the bag
of tables at your group, and line them up to make one long row. Count how many seats your
long row will hold and put that number on your slip.
Recording your group’s thinking on your chart paper:
• Draw horizontal lines to divide your chart paper into four sections.
• Put everyone’s Tables/Seat slip at the top of the chart paper in an organized way.
• Discuss in your group how each person counted the number of seats. Record the
different ways of counting in the next section of the chart paper.
• Leave the bottom two sections empty.
Task #2. Finding a Pattern
A. Do you see a pattern in the number of seats? Why do you think that pattern occurs?
• Find a partner to do Structured Think Pair Share
• Write your thinking about the pattern in the Think box.
• Listen to your partner’s thinking. Summarize it in the Pair box.
• Discuss your ideas and your partner’s ideas. See if you can come to agreement about the
pattern. Write that thinking in the Share box.
B. Using Talking Stick, discuss the pattern you found with your group.
C. If the discussion made you change your mind, record your new thinking in the Revising My
Thinking box.
D. Testing your pattern
Each member of your group will choose 1, 2 or 3 more tables from the bag on the table. Predict
how many seats you will need if you add these tables to your original long row. Then add the
tables and count.
Was your prediction correct? Record your test on your My Thinking sheet.
E. On your chart paper, in the next section record your group’s understanding of the pattern and
why that pattern occurs.
Task #3. Writing the Pattern as an Equation
Now turn your pattern into an equation. In your equation, use these symbols
S = the number of seats
T = the number of tables
Write your equation on your My Thinking sheet.
If you whole group agrees on an equation, write it in the last section of the chart paper.

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