Mathematics in Modern World

1. Problem Solving
Strategies
Group 3

2. PROBLEM SOLVING STRATIGIES:

3. PROBLEM SOLVING STRATIGIES:
Strategy 1:
Identifying a Subgoal Strategy
Strategy 2:
Making Table Strategy
Strategy 4:
Eliminating Possibilities
Strategy 5:
Writing an Equation and Using a
Variable
Strategy 3:
Making an Organized List

4. Identifying a
subgoal Strategy
Strate
gy 1

5. What is Subgoal Strategy?
Subgoal strategy is a way to take out each portion of a
problem and break it into meaningful pieces of
information.
It is used when solving math problems that need to be
solved in more than a single step and each step can be
solved separately. Many large and complex problems can
be solved by using this strategy.

6. Examples:
Magic Square Problem
Arrange the numbers from 1 to 9
in a 3x3 magic square so that
the sum of every row, column
and diagonal adds up to the
same number.

7. Magic Square
Formula
X + 1 X + 3
X
X - 3 X - 1

8. Making a table
Strategy
Strate
gy 2

9. Making a table Strategy.
Making a table is a problem-solving strategy that
students can use to solve mathematical word
problems by writing the information in a more
organized format. This problem-solving strategy
allows students to discover relationships and
patterns among data. It encourages student to
organize information in a logical way and to look
critically at the data to find patterns and develop

10. The following are the steps in making a
table.
A. Set up the table with the correct label.
B. Enter known data into the table.
C. Look for a pattern and extend the table.
D. Find the answer in the table.

11. 1. Joy takes up jogging as her form of exercise. she
jogs daily in their barangay auditorium. On the first
week, she jogs for 15 minutes per day, on the second
week she jogs for 20 minutes per day. Each week,
she wants to increase her jogging time by 5 minutes
per day. If she jogs six day each week, What will be
her total jogging time on the sixth week?
Examples:

12. Making an
Organized List
Strategy
Strate
gy 3

13. Making an organized list strategy is used to solve
problems that have multiple solutions and this is done by
writing down all combinations or possibilities in an
organized list. This would help one see clearly the answer
and be sure not to forget any parts.
This strate also helps problem solvers organize their
problem. Recording work in an organized list makes it
easy to review what has been done and to identify
important steps that must yet be completed. It also
provides an easy way of recording claculations.
Making an Organized List Strategy

14. Exampl
es:
A survey of 120 people was conducted to determine who have
watched from the three different television networks. the
results are shown in the table below. How many of the 120
people did not watch any of the three televion network?
T.V NETWORK No. of people
ABS-CBN 55
GMA 30
TV 5 40
ABS - CBN AND TV 5 10
ABS - CBN AND GMA 12
GMA AND TV 5 8
ABS - CBN, GMA AND TV 5 5

15. Subject Number of Student Taking
the Subject
Math 145
Filipino 90
English 88
Math and Filipino 25
Filipino and English 38
Math and English 59
Math,Filipino and English 15
Example 2: A survey on subjects being taken by 250 college
students in La union revealed the following information

16. Eliminating
Possibilities
Strate
gy 4

17. What is Eliminating Possibilities strategy?
Eliminating Possibilities is a strategy in which
students remove possible answers until the correct
answer remains.
This strategy can be used to solve basic or simple
math problems or logic problems. This can also
aid students in organizing information and think
about which among the given information can be
utilized to remove those information that do not
satisfy the given conditions in the problem.

18. Examples:
Wally asked Joy how old she was. Joy said to him that she
would give him three clues and see if he could guess her age.
Joy wrote down the clues and let Wally make a guess.
a.My age is between 18 and 35.
b.My age is a multiple of 3.
c.My age is an odd number.
d.The digits of my age are repeated.
How old is Joy?

19. Example:
Faith, Shanelle, and monique are varsity players in the
Women’s Basketball team of their school. Their positions
are guard, forward, and center. Given the following
conditions, frind who plays each position in the team.
A. Faith and the center bought an avocado shake for
Monique.
B. Faith not a guard.

20. Writing an
equation and
Using a Variable
Strate
gy 5

21. Writing an Equation and Using a
Variable
Writing an equation is a strategy
that is done by translating word
problems to mathematical
statements using any letter that
would represent the unknown in
the problem.

22. Examples:
1. Find two numbers whose sum is 28
and whose product is 192.

23. Examples:
2. Rachel is six years old than Irene. Six
years ago, she was twice as old as Irene.
How old are they at present?

24. Strategy 1: Identifying a Subgoal Strategy
Summary:
Strategy 2: Making a table Strategy
Strategy 3: Making an Organized List
Strategy 4: Eliminating Posibilities
Strategy 5: Writing an Equation and Using a
Variable

25. Strategy 1: Identifying a Subgoal Strategy
It is used when solving math problems that
need to be solved in more than a single step and
each step can be solved separately.
Summary:
Strategy 2: Making a table Strategy
Strategy 3: Making an Organized List

26. Strategy 1: Identifying a Subgoal Strategy
Summary:
Strategy 2: Making a table Strategy
Use to solve mathematical word problems by
writing the information in a more organized format.
Strategy 3: Making an Organized List
Strategy 4: Eliminating Posibilities

27. Strategy 1: Identifying a Subgoal Strategy
Summary:
Strategy 2: Making a table Strategy
Strategy 3: Making an Organized List
Used to solve problems that have multiple
solutions and this is done by writing down all
combinations or possibilities in an organized list.
Strategy 4: Eliminating Posibilities

28. Summary:
Strategy 3: Making an Organized List
Strategy 4: Eliminating Posibilities
Students remove possible answers until the correct
answer remains.
Strategy 5: Writing an Equation and Using a
Variable

29. Summary:
Strategy 4: Eliminating Posibilities
Strategy 5: Writing an Equation and Using a Variable
Writing an equation is a strategy that is done
by translating word problems to mathematical
statements using any letter that would represent
the unknown in the problem.

30. Strategy 1: Identifying a Subgoal Strategy
Summary:
Strategy 2: Making a table Strategy
Strategy 3: Making an Organized List
Strategy 4: Eliminating Posibilities
Strategy 5: Writing an Equation and Using a
Variable

31. THANKS!