Math Picture Problem
The math picture problem is a little more on the advanced side and would definitely be an application question. I developed a 'lead up' worksheet here which students can work through to get their heads wrapped around thinking about a clock in different ways. It could also work as a minds on activity for classes that are more advanced.
When I asked family member's to solve this question they came up with two different ways of solving it.
The first is if you forget about the clock and think about it like a circle. The time past since 6 is 3/4 of one circle (i.e. the clock face). So, if that area is 1/4 of the 'whole' than the 'whole' would be 3 clock faces/circles.
The second way to think about it is like time. So the time past since 6 is 45 minutes. If 45 minutes is 1/4 than the 'whole' would be 180 minutes (i.e. 3 hours).
Both ways are correct, and it's interesting to see how different people frame the problem.
It relies heavily on the way of thinking I described in my post Weekly Report and Reflection Blog Week 4.
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| MacCuish (2015). |
The first is if you forget about the clock and think about it like a circle. The time past since 6 is 3/4 of one circle (i.e. the clock face). So, if that area is 1/4 of the 'whole' than the 'whole' would be 3 clock faces/circles.
The second way to think about it is like time. So the time past since 6 is 45 minutes. If 45 minutes is 1/4 than the 'whole' would be 180 minutes (i.e. 3 hours).
Both ways are correct, and it's interesting to see how different people frame the problem.
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