Explain to your students that the
Cyberchase kids have been trapped by Hacker in the Fourth Quadrant of Proportiona, and must find
a way out in order to save Motherboard from a virus. The kids
must work with the scale and size of things around them in order
to escape.
Step 1
Tell your students that they will be watching a video clip from
a
Cyberchase episode. The characters will be in a world where things appear to be very different from what they are accustomed
to seeing.
Step 2
Provide your students with a
FOCUS FOR MEDIA INTERACTION,
asking your students to identify where the Cyberkids are, what
they notice about the place, and how they describe it?
PLAY
the tape from the scene right after the kids fly through a mirror
and land in an area surrounded by large rocks, approximately 2
minutes into the episode. Digit says, "Welcome to the 4th Quadrant
of Proportiona."
PAUSE the tape when you see Hacker saying,
"And tonight, when motherboard opens an email that is addressed
from you kids, it will be the last file she ever opens." Check
your students' comprehension. Where are the kids? (Answer:4th
Quadrant of Proportiona) What do the kids notice about this place?
(Answer: The rocks and creatures around them are huge. A bee is
compared to an airplane, "something you can fly…") How do the
kids describe it? (Answer: "It's like everything has been multiplied
in size." Everything is 'so many' times larger. Emphasize the
concept of something being so many times larger as relating to
multiplication
Step 3
To further illustrate this idea, take a picture of your class,
or a picture from the newspaper. Ask your students how the class
picture looks. (They will say it looks normal.) Point to a student
and ask if the picture is exactly the same as the student in every
way? Ask what is different? (Size!) It looks normal because everything
in the picture is smaller. Everything in the picture is of the
same relative size.
Step 4
Ask students if they can provide examples of things that are different
sizes but still look normal to us. (Possible answers: photographs,
drawings of real objects or people, billboards, dolls, TV images.
postcards)
Step 5
Explain to the students that in order for the
Cyberchase kids
to defeat Hacker, they have to understand scale, and the relationship
that different objects have to one another in terms of size.
Step 1
Tell the students that the Cyberkids are trying to understand
the size of things around them. Matt doesn't have a ruler handy,
but he does have a way to measure size and figure out the scale
of what's around him. What is his strategy?
CUE the video
to where Digit is flying ahead of the kids as they run under rocks
and past huge plants. Matt says, "Whoa, that is one humongous
frog." Divide your students into two groups. Provide students
with a
FOCUS FOR MEDIA INTERACTION, asking the groups to
determine:
Group 1: Digit falls into what he thinks is a muddy hole. What
does that turn out to be, and how does he find that out?
Group 2: How does Matt figure out how big the creature might be?
What does he use as his measuring tool?
PLAY the video.
STOP the video after the giant dog
chases them into the house and the kids see the boy at the table
with his mom standing next to him. Digit says, "He's the smallest
in his class?" Check for comprehension. Ask Group 1 what the hole
was that Digit fell into (Answer: It's a giant footprint. Digit
only realizes this after he is pulled out of the mud and he flies
above it. He can then see the entire footprint from above and
understand what it is). Ask Group 2 how Matt figure out how big
the creature might be (Answer: Matt walks along the footprint
to measure it. It takes 10 of Matt's steps to reach the end of
the footprint. The length of the Giant's footprint is measured
in terms of Matt's shoe size.) Ask the class where the kids are?
(Answer: They are in the Land of the Giants according to Jackie,
as the Cyberkids run from the giant dog.)
Step 2
REWIND the tape to the beginning of the clip if necessary.
Check the students' answers with the video clip for accuracy.
Step 3
Ask the students to imagine what it might be like to meet a creature
whose footprint was 10 times the size of one's sneaker or shoe.
Can they give any examples of comparisons?
Step 4
Ask for a student volunteer who will take off a shoe and perform
an experiment. Place a large sheet of butcher paper or drawing
paper on the wall of the classroom.
Ask the volunteer to mark off ten lengths of their sneaker or
shoe in a straight line across the paper, drawing a line after
each footprint of the sneaker or shoe is made.
Step 5
Tell your students that now you have a footprint that is ten times
the length of the student volunteer's footprint.
Step 6
Take the paper down from the wall and place on the floor to demonstrate
size for the students. A student can walk along the foot print
to illustrate that the footprint is ten times longer.
Step 7
Explain to the students that in the first part of this episode,
the kids are trying to figure out how their size compares to the
Giants. Stress the reasoning portion of this rather than referring
to rules. Ask, "How does the Giant's height compare to the kids
height?" Student should describe this in words like: '"The height
of 1 giant is 10 times the kids height."
[Teacher's Note: Students might also say, '"The kids are onetenth
the height of the Giant." Although this is true, kids can become
easily confused. To keep it simple and consistent, throughout
the lesson we will name the large thing first. (Ex. Giants to
kids) Consistency in how the ratio is set up will allow kids to
express the ratio in terms of multiples of whole numbers, and
will avoid fractions. Initial experience with ratios should be
in terms of whole numbers whereas "onetenth" is confusing.]
As you say these words, write the relationship as a ratio. "So
one Giant's height is 10 times the height of the kids."
Write:
Giant's Height 
to 
Kid's Height 
1 

10 
or = 1:10 
OR
Write:
Giant's Height 
= 
1 
Kid's Height 

10 
So the ratio 1 to 10 or scale can be written in fraction form
(1/10 or as 1:10).
Stress that this is not read as a fraction '"onetenth" but rather
"1 is to 10" or "1 compared to 10." This terminology reinforces
the formal definition that students will encounter: A ratio is
a comparison of two numbers. The comparison is by division.
Step 8)
Now they are going to find themselves in a world in which the
kids are the giants. Tell students that they will have to determine
the new scale in a world in which the kids are now the giants.
Step 9)
CUE the video to where the kids have just been dumped from
a boat head first, yelling, into piles of sand. Digit spits out
sand and says, "Well, that was one way to get here."
Provide students with a
FOCUS FOR MEDIA INTERACTION, asking
them to determine what the scale is in this new world. How much
larger are the kids than the inhabitants of the world?
PLAY
the video.
PAUSE the video when Jackie says, "Start flying
Widge. You can do it." Check for comprehension. Ask students what
the scale is in the new world. How does the height of the kids
compare to the inhabitants in this new world? Since it takes 10
of the little inhabitants to equal the height of the kids, [Follow
the thinking process as before, naming the large thing first.]
"So one of the kid's height equals 10 times the height of the
little inhabitants."
Write: