1. “The Ants Go Marching” is an example of a constant rate
of change. The ants first march one by one, then two by two, three by three,
four by four, increasing by one until they are marching ten by ten. Several
ants engage in other activities besides marching, but most stick to marching
throughout the book.
2. There is a constant rate of change, which can be proven
by subtracting y2 by y1 and dividing this by (x2-x1). In this case, the first
rate of change would be 2-1/2-1, which is 1. To ensure that the rate of change
is indeed constant, this needs to be repeated with all of the values.
(3-2)/(3-2)= 1
(4-3)/(4-3)= 1
(5-4)/(5-4)= 1
(6-5)/(6-5)= 1
(7-6)/(7-6)= 1
(8-7)/(8-7)= 1
(9-8)/(9-8)= 1
(10-9)/(10-9)= 1
As shown in the above calculations, the rate of change is
constant throughout.
3. I think that literature is a good way to teach and learn
a mathematical concept because it effectively works both sides of the brain:
the reading word side and the analytical number-driven side. Science has shown
that when both sides are involved in learning, more neuropath ways between the
two sides are formed, which improves learning and memory of the subject
learned. This is why dancers, who have to equally use both sides of their body,
are better at math than most because of the neuropath ways that working both
sides has formed.
Great examples!
ReplyDeleteYou gave very in depth examples, very helpful
ReplyDeleteGreat explanation within part two by showing all your work. The constant rate of change seems very clear because you showed your work. I didn't think about literature helping to teach both sides of the brain.
ReplyDeletekirsten.
ReplyDeletefantastic job! i love how you explained the concept in detail and showed the calculations! also, i love what you said about dancers. it's so true!
professor little