Math help needed: how can any value be used to incorporate open-ended questions?

Mathematics
Tutor: None Selected Time limit: 1 Day

hi all i need help with this task i have no clue what i am o doing or wat  or how i am mean to do it the value is 6 and i need ot wirte a open ended maths question which involves the 6 as the value.

1. what is a opened ended maths question and 2. can someone give me an example

Nov 8th, 2015

Thank you for the opportunity to help you with your question!

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Open-ended questions have more than one correct answer and more than one strategy to obtain this answer. 

For example, consider the following question.

Q: The difference between two numbers is 6. What might the numbers be?

A: Let the numbers be x and y.

     x - y = 6

     y = x - 6

     This is the equation of a line and all  the points on the line satisfy the equation. 

     So there are infinite pair of numbers whose difference is 6.

     This one way of doing it. 

     Another method is you could simply pick a number and subtract 6 from it.     

     

So as seen from this question such problems have more than 1 correct answer and can be solved in different ways.

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Reference:  

https://www.uky.edu/OtherOrgs/ARSI/www.uky.edu/pub/arsi/openresponsequestions/mathorq.pdf

https://ateacherswonderings.wordpress.com/2014/09/13/open-ended-tasks-and-questions-in-mathematics/

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Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 8th, 2015

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