In this video segment from Cyberchase, the CyberSquad is trying to escape from a desert island by crossing a large body of water. They find a special lily pad that was left for them by the Red Warrior. When the lily pad is put in water it doubles and the number of lily pads keeps on doubling. The CyberSquad tries to use this doubling effect to help them create a lily pad bridge to cross the water and escape.
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: When we double a number, what are we multiplying it by? If you start with the number one and double it five times, what new number is created? If you write all these numbers down, what kind of pattern do you see? A doubling pattern can create large numbers fairly quickly.
Focus: As you watch this segment, look at the numbers Inez generates on the Skwak pad. Record these numbers and look for the pattern that occurs. Think about how doubling is being used to help the squad cross the water.
Follow Up: How many times did the number of lily pads have to double in order for the CyberSquad to cross the water? How many lily pads did they eventually need to get across? If the lily pads doubled two more times, how many lily pads would there be? Can you think of another example where a doubling effect would be fun or useful?
MATT: But how? How can this tree help us? What’s so important about this tree?
JACKIE: A secret door!
INEZ: A Catastrophe Kit!
DIGIT: A Catastrophe Kit???
MATT: Yeah! This must be what the Red Warrior wanted us to find! The way off this island must be in here!
INEZ: What?! A way out?!
MATT: Cookies! I’m starving!
JACKIE: Flashlight...tent...sunscreen... lily pad!
MATT/INEZ/DIGIT: A lily pad?
JACKIE: A lily pad bridge.
DIGIT: That doesn’t look like a bridge to me!
JACKIE: It says to add water?
MATT: Hey! Now there are two!
INEZ: It doubled!
JACKIE: Don’t get too excited, guys. It’s still a long way across.
INEZ: Let’s see...to reach all the way across, the Skwak says we’ll need about...one hundred and twenty-eight lily pads, just like this one.
DIGIT: One hundred and twenty-eight lily pads! It’ll take all day to grow a bridge that long!
JACKIE: Shangri la is totally doomed!
MATT: Hey! Now there are four!
JACKIE: Okay, so maybe it’s not totally doomed. We only need 124 more lily pads.
DIGIT: It’s doin’ it again!
DIGIT: Four plus four...is eight!
DIGIT: Now we’ve got eight lily pads!
INEZ: One...two...four...eight...hey, there’s a pattern here.
MATT: Now there’s sixteen! The lily pads are doubling!
INEZ: How many doublings will it take to reach one hundred and twenty-eight lily pads? We’re at sixteen now.
INEZ: Sixteen doubled is thirty-two. Thirty-two doubled is sixty-four.
INEZ: Sixty-four doubled is one hundred and twenty-eight. In three more doublings, we’ll have one hundred and twenty-eight lily pads!
JACKIE: Just what we need to get across!
DIGIT: Thirty two lily pads right on schedule!
JACKIE: Another double! Sixty-four lily pads!
INEZ: Only one more doubling! C’mon, c’mon, double!
MATT: One hundred twenty eight lily pads to the end! We’re good to go!
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