Friday, May 11, 2012

Did I Get It?

The Prompt

Given: The green, red and blue points are collinear. What is the dimension of the blue square if the green and red squares are 4x4 and 7x7 respectively?




After a few minutes, B comes up and says, "Mr. Cox, can you check this out. I think I've got something."

She shows me her diagram.




And her results.



Yep, kid.  You've got something.

2 comments:

none said...

I am stealing that question. I don't think I will give the (0,4) coordinate and simply ask what they can tell me about the three squares.

danpearcymaths said...

Awesome question! Interesting comment above. I think the "openness" of the question would depend on the ability of the students. Personally, I would give this question to a year 9 or year 10 group and would keep it the way it is. The co-ordinates possibly act as a clue as to how a student might go about solving this. Depending on the ability, I would think about taking the co-ordinates out.