The U.S. CDC does not currently give information on the
average rate of growth per year for males. However, the do provide data sets
that show the height of males across time. With this information it is possible
to calculate the rate of change of height during a given time frame. So, what
is the average change of height using x=2 for the following years 3, 4, and 5?
Green (2,79)(3,92)
(92-79)/(3-2)
13/1
13
This means that during the second and third years of life the average male grows by 13 cm.
This means that during the second and third years of life the average male grows by 13 cm.
Red (2,79)(4,104)
(104-79)/(4-2)
25/2
12.5
This means that between the second and fourth years of life the average male grows by 12.5 cm.
Orange (2,79)(5,110)
(110-79)/(5-2)
31/3
10.3
This means that between the second and fifth years of life the average male grows by 10.3 cm.
This means that between the second and fifth years of life the average male grows by 10.3 cm.
The rate of change shows a different growth amounts for each
given year. This can be explained by normal human growth patterns. However,
these changes do not represent the overall average change of growth for humans.
Each time frame shows that the average growth increases, which is to be
expected as males move closer to the puberty timeframe.
Again, the tangent line shows information that is similar to
the secant lines. As we further approach puberty, we grow more per year.
We know that since the amounts are increasing as we move
further away from the origin point that 9.75cm is the IRC.
Awesome job! It is really cool to see math explain something that we all witness in our own lives.
ReplyDeletei agree, brieanna!
Deleteprofessor little
I like your example because as a younger kid and a teenager there is a much larger growth rate than when you are older. It was interesting to see this on a graph!
ReplyDeleteGREAT JOB, and GREAT example. I would say that I needed a bit more clarification on the unit for your IRC though. Other than that, good job.
ReplyDeleteI like that you did your graph on the computer, it makes it a lot easier to read and understand. Your math made sense and it was easy to follow along.
ReplyDeleteblayne,
ReplyDeleteyou did a nice job on this post and i like the topic that you chose as it is quite relevant. i like how you included your table and graph on the same image. it made everything succinct to have it all in one place. i like that you explained the IRC in a relevant way according your experiment calling to attention growth patterns as grow older.
for your secant calculations, you forgot to include your units, so remember that in the future. and also to actually show the tangent line calculation would have been great.
overall, a nice job. =]
professor little