Do this assignment on pen and paper and then submit your work by uploading pictures of them, as many as needed. This is to allow you to be able to use drawings, writings, tables, etc. in your work. Label clearly which question number you are answering in your work.

Please take time to answer the following two questions completely. Explain your thinking behind your conclusions with as much clarity as possible. I am primarily interested in your thinking behind.

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Learning Outcome Questions

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1. Joe and Eva are thinking about two whole numbers (which may be different) in their mind.

Joe says: If the product of two whole numbers is even, then their sum is odd.

Eva says: If the sum of two whole numbers is odd, then their product is even.

Are Joe and Eva stating the same mathematical idea? Please provide justifications for your answer.

2. Gabriel and Dewey are thinking about two whole numbers (which may be different) in their mind.

Gabriel says: If the product of two whole numbers is odd, then the sum of the numbers is even.

Dewey says: If the sum of two whole numbers is odd, then the product of the numbers is even.

Are Gabriel and Dewey stating the same mathematical idea? Please provide justifications for your answer.

Rubric

Rubric (1)

This criterion is linked to a Learning Outcome Questions were answered with a conclusion statement 2.0 pts

Full Marks

Both questions were given a clear answer 1.0 pts

partial marks

Only one question were answered clearly, while the other were not. 0.0 pts

no marks

None of the questions were answered clearly though some responses were made.

This criterion is linked to a Learning Outcome Question 1 was answered with clear and traceable explanations 4.0 pts

Full Marks

The line of reasoning is clearly and completely presented in your explanation. I can follow the line of reasoning without any gap. 3.0 pts

partial marks

The line of reasoning is almost clearly presented in your explanation. I can follow the line of reasoning but there were some gaps in the explanation. 2.0 pts

partial marks

The line of reasoning is quite clearly presented in your explanation but at some parts I have to guess your thinking behind. I can roughly see the line of reasoning but I have to fill in my guess of your thinking in some big gaps in the explanation. 1.0 pts

minor marks

The line of reasoning is not clearly recognizable in your explanation. I have to guess your thinking behind most of the time. I can hardly see the line of reasoning but can only make my guess of your hidden thinking. 0.0 pts

No Marks

no explanations were given.For more information on Learning Outcome Questions check this:

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