In this video segment from Cyberchase, Matt and Digit need to set up tables so that 20 workers will each have their own spot at a table as they assemble circuit boards. After arranging workers around five tables (in video segment "Arrangement 1"), Matt finds that there are still six workers without seats. He must go back to the drawing board to figure out how many more tables he needs to seat every worker. Check out "Arrangement 3" to see how Matt finally solves the problem.
Investigations/Scott Foresman (2006)
Patterns of Change: Tables and Graphs, Investigation 1, Sessions #1-4: pp. 18-39
Here are some Frame, Focus and Follow-up suggestions for using this video in a math lesson.
What is Frame, Focus and Follow-up?
Frame: Let’s say you were getting ready to play a math card game at school. You can seat two people at a desk, but there are six people who want to play the game together. How many desks would you need and how would you arrange the desks so that everyone will have a seat and can play the game?
Focus: As you watch this video segment, you will see that Matt and Digit have put five tables together to seat twenty workers. Why didn’t this work? How many spaces for seats did they lose?
Follow Up: What happened when Matt and Digit put the five tables together? How many workers were left without a seat? How does Matt figure out what they need to do? At the end of the video segment a new problem arises. Can you explain it?
EUKIE: Tables together now!
MATT: Now the chairs! Hurry! Okay, Workers...take your seats!
DIGIT: YOIKES! There aren't enough places!
MATT: We've still got five tables... but now there's only room for twelve! What happened??!
REEKA: Eight not sitting! Uh.
EUKIE: Maybe Motherboard sent wrong kid.
MATT: She did not! Oh, man, this problem is harder than I thought!
EUKIE: Starlight Night just hours away!
REEKA: No time for yo-yo - need go-go!
MATT: Guys, I'm freaked enough, okay? I can't think if you keep talking!
MATT: Okay, Matt, chill. The problem is...we don't we have enough places?
EUKIE: Figure it out yet?
MATT: Eukie...you're doing it again! Okay, let's start simple, like last time. One table - four workers. But, when I pushed the two tables together... Whoops! That's it! That's what happened!
EUKIE: What happened?
MATTL When we shoved the tables together - we lost all the places where they touched. Two here and here...and here and here. We lost eight places!
REEKA: So we need more tables for lost places!
EUKIE: But, how many more?
MATT: I think I can figure it out with more shingles. Let’s start over.
DIGIT: Here you go, Mattster!
MATT: Hmmm ok, I get two places for each shingle. So, lined up like this and counting like I did last time, that’s 2, 4, 6, 8, 10, 12, 14, 16, 18- plus two more for the places at the ends gives us twenty.
MATT: Touchdown! Let's get 'em!
EUKIE: One problem. Don't have nine tables.
REEKA: Only five. Hacker smashed the rest!
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