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Transcript
Intooba Model Value Challenge
Work in a group or individually.
Printable worksheet and pencil needed.
The Challenge: Two ways to play
Version 1: The primary participant decides
how players will get to the value of each colored rod starting with the shortest, or green,
rod. Once the values of all rods in the design
are reached, students or players add up the
value of the model.
Version 2: Alternatively, the model can be given a total value, and the participants need to
work backwards to find viable values for the
component pieces.
Establishing Values:
Values for each component may be established
in any way. Here are some ideas for establishing
component values.
•Take the smallest value of three rolls, and multiply it by 2
•Select the first odd number you get
•Select the first even number you get
•The value of the green rod is 5x+4y, where x is
your first even number, and y is your first odd
number
•Square the first odd number you receive
•Take the average of the first three even numbers
•In six rolls, add the highest two even
numbers and the lowest odd numbers
•Multiply the first odd number by 3.5
•Multiply the first even number by 100
In this way, the values for all the rods are set prior
to students working on completing the actual
value of the model in front of them.
Alternatively, the primary participant could give
a total value for the model presented, and either
present options for rod values, or ask students
to design their own parameters that would work
within the model specifications.
The Challenge: Version 1
The Challenge: Version 2
Need pencil, scratch paper
Need pencil, scratch paper
1. The player(s) are presented with a completed
model and the total value of the model.
1. The player(s)
are presented
with a completed
model and the
appropriate die
for their math
level.
2. The player(s) may be given values for some
components of the model or none at all.
Establishing the Total Value of the Model
2. Player(s)
There are:
green rods
complete1. the
I am the red rod: find my value by:
2.
red rods
component
pa- purple rods
3.
I am the purple rod: find my value by:
rods
rameters4.5.work- yellow
I am the yellow rod: find my value by:
orange rods
I am the orange rod: find my value by:
6.
blue rods
sheet, deciding
7.
60 degree connectors
I am the blue rod: find my value by:
how to establish
8.
90 degree connectors
I am the black 60 degree connector: find my value by:
the valueTake
oftheeach
value you got for you rods and connectors, and multiply
them by the number contained within the model:
component.
I am the black 90 degree connector: find my value by:
=
x number of green rods
1. value of green rods
3. The
player(s) work
the problem backwards to
=
x number of red rods
2. value of red rods
establish potential values for all of the models
Rod Values:
=
x number of purple rods
3. value of purple rods components.
3.
use
the defined parameters and
die
to
I amPlayer(s)
the green rod. I am
worth:
=
x number of yellow rods
4. value of yellow rods
I am the red rod. the
I am worth:
calculate
value for each component. 5. value of orange rods
=
x number of orange rods
Establishing Rod Values:
I am the green rod: find my value by:
I am the purple rod. I am worth:
I am the yellow rod. I am worth:
6. value of blue rods
x number of blue rods
=
I am the orange rod. I am worth:
7. value of 60° connector
x number of 60° connector
=
I am the blue rod. I am worth:
8. value of 90° connector
x number of 90° connector
=
I am the black 60 degree connector. I am worth:
I am the black 90 degree connector. I am worth:
Now, add up your totals in 1 to 8
This is the value of your model:
4. Using the defined values the player(s)
calculate the total value for the model.
Multiplying the number of components by their
value and then adding those values together to get
the total value of the model.