2. Activity 1: Problems for Sale!
Directions: Form a group of five (5). Think of any
problems in our society now. List at least ten (10)
of them. In your group, discuss how can
mathemtics be related to these problems and
how can mathematics be a powerful tool to
solve the problem.
3. We cannot deny the fact that the first thing that comes into
our mind when we hear the word “mathematics” is numbers.
However, the truth is it is not always the case. Some ideas in
mathematics are so basic to our wolrd and either we
encounter mathematics every day in our lives or we use
them directly or indirectly in various fields. Mathematics are
used or applied in science, engineering, business, industry,
etc. Don’t you know that statistics, combinatorics, as well as
graph theory are used investigators to solve crimes?
Forensic science , medicine, ICT, cryptography, archeology,
social and political sciences are some of the many fields
where mathematics can be applied.
4. Mathematics for Organization
Events after events happen around us everyday. In just a blink of
an eye, a lot of people already died and at the same time several
children have already been born. Talking about social media,
thousands or even millions of tweets or messages have been
posted in just a split of a second. The fact remains that we need
mathematics as a tool to help us make sound analysis and make
the best decisions by making sense of all available information. For
example, a certain store can gather data on the shopping habits of
its customers and make necessary adjustments to help drive sales.
Scientists can plot bird migration routes to help conserve
endangered animal populations. Social media analysts can crunch
all online postings using software to gauge the netizens’
sentiments on particular issues or personalities.
5. Mathematics for Prediction
If “History repeats itself”, then in as much as we can use
mathematical models using existing data to generate
analysis and interpretations, predictions can also be made
using them. Experts can calculate the chance of an event
happening by applying the concept of probability. A good
example of these is the weather. To help us preapare for our
daily activities, meteorologists make forecasts based on
historical patterns. They can also warn us of weather
disturbances that can affect our activities for weeks or
months. For astronomers, patters are also used to predict
meteor showers or eclipses occurences.
6. We have demonstrated by means of examples around us that
patterns are definitely present in the universe. There seems to be
underlying mathematical structure in the way that natural objects
and phenomenon behave. While photographers could capture s
single moment through a snapshot, videographers could record
events as they unfold. Painters and sculptors could create
masterpieces in interpreting their surroundings, poets could use
beautiful words to describe an object, and musicians could capture
and reproduce sounds that they hear. These observations of
nature as well as their interactions and relationships, could be more
elegantly described by means of mathematical equations. As
stated by astrophysicist Brian Greene, “With a few symbols on a
page, you can describe a wealth of physical phenomena.”
7. Patterns and regularities in the world can be organized using
mathematics. The behavior of nature and phenomena in the world
with the help of mathematics at the same time, for the
advancement of our civilization, mathematics helps human exert
control over occurences in the world.
Activity 2. Thank you Math…
Directions: Explain how can mathematics be of great help in your
chosen field of specialization.
Activity 3. Mathematics Applied!
Directions: Identify and discuss some applications of mathematics
in the society.
8. Activity 4.
Directions: Answer the following problems completely and honestly. Show
all your solutions.
1. A research found out that there exists a significant relationship between
the students’ performance (p) and the number of hours they spent
studying (s). Further, it was found that the relarionship is given by the
equation p = 9.75s + 46. With this information, estimate the performance
score of a student who spent 5 hours studying.
2. The distance traveled by an object given its velocity and acceleration over
a period of time is given by the equation d = vot + ½ (at2). Find the
distance traveled by an airplane before it takes off it its starts from rest and
accelerations down a runway at 3.5 m/s2 for 34.5 s.