What’s Your Function?
Blog submission number 2
Due Date: September 9, 2012 by 11:59 pm
Eastern Standard Time
Point value: (15 points)
Learning
objectives:
·
Recognize,
observe, formulate, and understand mathematical connections that
functions and their graphs have in everyday life
·
Analyze,
think critically about, and demonstrate a meaningful understanding
of various mathematical functions and their graphs by effectively communicating their thinking and reasoning for their
solutions and mathematical connections to real world situations (in other words, rather than simply knowing how to solve any particular problem,
students should be able to explain how they to come to a particular solution
and as well as explain why it is correct)
·
Apply
general strategies to more than one type of graph, function, or equation
·
Comfortably
and effectively utilize a variety of strategies to solve
any given mathematical problem involving functions and their graphs
Background:
This
blog submission is an exercise in recognizing real world applications of a
mathematical concept.
Directions:
Part
a:
1. BBC
2. Has to pass vertical line test,
every input has an output.
3. Graph on weather http://www.bbc.co.uk/weather/5128581
4. This is a graph of the weather. It
gives you the month for time and the temperature in Centigrade.
5. This is not a linear function.
6. This is not a linear function because
it is not a straight line. We can’t just write a formula for this graph because
there is no equal relation between the points.
7. The function is not a mathematical
model because the outputs are not dependent on the inputs.
Part
b:
1. The criteria for determining relationships
that are not functions are that they do not pass the vertical line test, not
every input has one output, functions cannot have multiple outputs for one
input.
2. This relationship that is not a
function talks about the Iowa caucus. It is not a function because this
relationship depends on the population on the given area. (Taken from CNN) http://cnnpressroom.blogs.cnn.com/2012/01/03/cnn-uses-studio-technology-to-explain-iowa-caucus-2/?iref=allsearch
cool that you took an article from CNN and BBC since one is an american source and the other a British source
ReplyDeleteI think using the weather was a very interesting example of a function because it wasn't also a mathematical model For me, I found it hard to think of a real life situation that wouldn't be one
ReplyDeleteI agree with Caitlyn. The weather example is a great straightforward function, as there cannot be two temperatures in one place at one time.
ReplyDeleteGood example with the Iowa caucus. I had trouble finding a similar graph.
ReplyDeletealejandra,
ReplyDeleteyour first example is really good! you explained the math related to this relationship with good detail and the information is very interesting.
for your second example, you are correct in your explanation for why a relationship is not a function, but if you are analyzing the number of tweets per candidate (which is what i saw when i opened up the link and watched the video) then this relationship is a function, because one number is associated with each person if the candidates are the inputs of this relationship. really creative example though, it just doesn't fit the criteria.
professor little