In this video segment from Cyberchase, the CyberSquad must figure out the correct doorknob/key combination in order to open the door which stands between them and the Black Crystal. The CyberSquad has doorknobs in three different colors and keys in three different colors. After a few failed attempts, they decide to use a grid to help them keep track of the different combinations they have tried.
Investigations/Scott Foresman (2006)
(5th Grade) Between Never and Always
Investigation 1, Sessions 1-4, pp. 4-26
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 have a friend who really likes to coordinate her outfits. If she has three different color hats and two different color scarves, how many hat and scarf combinations does she have to choose from? How did you figure this out? Is there any opportunity to use multiplication to help you figure out the number of combinations?
Focus: In this video segment, you will watch Jackie and Matt as they try to find the correct doorknob/key combination to open a high security door. As they test some possible combinations, pay attention to what they do to make sure they try each combination without repeating or missing any possibilities.
Follow Up: How many combination possibilities did Jackie and Matt find? How did they use multiplication to help? When they laid out the knobs and keys Jackie said, “It’s like a grid of possibilities!" What did she mean?
MATT: It didn't open!
JACKIE: Let me try a different combination. No luck.
MATT: Here's another combination! No dice. Wait! Didn't we already try that combo?
JACKIE: I'm not sure...I don't remember.
MATT: Time out! We need to keep track of each combination so we can tell which ones we've tried and which ones we haven't.
JACKIE: You're right! And we need a way to be sure we've tried them all. So... let's organize our choices.
MATT: Three knobs: orange, green, purple.
JACKIE: And to make a combination, we match a knob with a key...red...blue...yellow.
MATT: But that's only three combos. What happens if we lay them out like this?
JACKIE: Cool! Now it's like a grid of possibilities. This one is green knob plus blue key.
MATT: And this square is purple knob plus red key.
JACKIE: A square for every combination, and a combination in every square! I think we're onto something!
MATT: Three keys by three knobs makes nine squares, so we have nine different combinations to try.
JACKIE: The same as the number of knobs, three, multiplied by the number of keys, three!
MATT: I forgot which combinations we already tried. Let's start over and check off the combinations as we go.
JACKIE: The first combination is orange knob, red key. Wrong combination.
MATT: Next up: orange knob, blue key. Mark it! Nope. Let's try again. This is the last combination! It better work. Yes!
Academic standards correlations on Teachers' Domain use the Achievement Standards Network (ASN) database of state and national standards, provided to NSDL projects courtesy of JES & Co.
We assign reference terms to each statement within a standards document and to each media resource, and correlations are based upon matches of these terms for a given grade band. If a particular standards document of interest to you is not displayed yet, it most likely has not yet been processed by ASN or by Teachers' Domain. We will be adding social studies and arts correlations over the coming year, and also will be increasing the specificity of alignment.