rainbow logic find a full description at the link.description 1
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Rainbow LogicFind a full description at the link.
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6/6/14
Southwest Washington Common Core Mathematics
Rainbow Logic
A LogicTask
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Language Target• Provide a reason for each guess.
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Launch
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What is pictured?
Launch
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rows
colu
mns
• The 3 squares are 3 colors for each team member:
• 2 Whiteboards per table.• 1 caution sign
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Supplies
• The squares are 3 colors:
• Each puzzle has 3 of each color.• All of the squares of the same color must be
connected by at least one full side. 7
Rainbow Logic Rules
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Does this follow the rules?Columns
Rows
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Does this follow the rules?Columns
Rows
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I need 2 readers.Columns
Rows
Guesser
Grid Designer.
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Follow this exampleColumns
Rows
Is row 1 column 2 green?
Yes
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Follow this exampleColumns
Rows
Is row 1 column 1 green?
Because green has to share a side with green.
No
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Follow this exampleColumns
Rows
Is row 2 column 2 green?
Because green has to share a side with green.
Yes
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Follow this exampleColumns
Rows
Is row 3 column 2 green?
Because green has to share a side with green.
Yes
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Follow this exampleColumns
Rows
Oh… I really know what it looks like now!
Do you know whatit looks like now?
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Follow this exampleColumns
Rows
I know row 1 column 1 is not green, so row 1 column 1 is red.
No.
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Follow this exampleColumns
Rows
OK, so row 1 column 1 must be blue because it is not green or red.
Yes.
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Follow this exampleColumns
Rows
OK, I really know what the design is now!
Do you know whatit looks like now?
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Follow this exampleColumns
RowsReady?
How didyou do?
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Practice 3. Construct viable arguments & critique the reasoning of others.
• What do you think this looks like?
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Practice 3. Construct viable arguments & critique the reasoning of others.
• Analyze problems and use stated mathematical assumptions, definitions, and established results in constructing arguments.
• Justify conclusions with mathematical ideas. • Listen to the arguments of others and ask useful
questions to determine if an argument makes sense. • Ask clarifying questions or suggest ideas to
improve/revise the argument. • Compare two arguments and determine correct or
flawed logic.
Roles• Grid Designer – Puts the colors in the grid.• Checker
– Checks the Grid Designer follows the rules– Make sure the Guesser provides a reason for each
guess after the first color tile is revealed.• Guesser – Asks the Grid Designer “A Yes or
No” to determine the grid.• Recorder
– Records all of the reasons given by the Guesser– Records the number of guesses.
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Before you begin …• Predict the fewest number of guesses needed
for the Guesser to determine the grid design.
• The roles will rotate.
• Make a claim, “The fewest number of guesses needed to determine the grid design is ___”.
• Keep playing until you have enough evidence to support your claim.
• If you think a 3 × 3 is too easy, do a 4 × 4. 23
Before you begin …How many pets do you have?Here are your roles:• Grid Designer – the most pets• Checker – elbow partner of Designer• Guesser – sitting opposite of the
Designer• Recorder – the remaining personRock-Paper-Scissors breaks any tie.The next Grid Designer is to the right of
the current Grid Designer . 24
As you begin …The Grid Designer and the Guesser draw a 3 × 3 grid
on your whiteboard.
The Grid Designer fills in the grid, and the Checker verifies it.
The Checker also listens for a reason for each guess after the first guess. If they do not hear a reason, they show the .
The Recorder writes all the reasons and the number of guess on a piece of paper. The paper gets passed to the next recorder.
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TASK• Practice 3. Construct viable arguments &
critique the reasoning of others.
• Make a claim, “The fewest number of guesses needed to determine the grid design is ___”.
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Practice 3. Construct viable arguments & critique the reasoning of others.
• Analyze problems and use stated mathematical assumptions, definitions, and established results in constructing arguments.
• Justify conclusions with mathematical ideas. • Listen to the arguments of others and ask useful
questions to determine if an argument makes sense. • Ask clarifying questions or suggest ideas to
improve/revise the argument. • Compare two arguments and determine correct or
flawed logic.
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Practice• Rainbow Logic Practice
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Ticket OutDirections:• Complete as much us the possible.• Provide a reason for the guess.
blue
blue blue