solve multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools. M6NS-If-113.3

1. Solving Multi-step Routine and Non-
Routine
Problems Involving Division and any of
the Other
Operations of Decimals, Mixed Decimals
and
Whole Numbers Including Money Using

2. PRESENTATION
Multi-Steps in Solving Routine and Non-Routine
Word Problems
A. Understand
B. Plan
C. Execute
D. Review/Check
Presentation

3. This is the time to just think!
Allow your self some time to get
to know the problem. Read and
re-read. No pencil or paper
necessary for this step.
A.UNDERSTAND

4. Ask your self:
1. Does the problem give me enough information?
2.What is asked?
3. What do I know and what do I need to find out?
4. What should my solution look like?
5. What are operations am I going to used?
6. Is there any unfamilliar words to me?
UNDERSTAND

5. Time to decide a plan of action! Choose a reasonable problem-
solving strategy.
Problem-Solving Strategies that you can decide to use:
1. draw a picture/diagram
2. make an organized list
3. make a table
4. find a pattern
5. guess and check
6. act out a problem
7. work backwards
8. use maniplatives
9. use logical reasonings
B. PLAN

6. Ask your self:
1. Have I solved like this
before?What did I do?
2. Is there some special notation I
can use?
3. How do the facts from the
problem relate to each other?
4. Do I Have to use more than
strategy to solve it?

7. Alright! You understand the
problem. You have a plan to solve
the problem. Now its time to work!
As you work, you may need to
revise your plan. That's okay! Your
plan is not set in stone and can
change anytime you see fit.
C. EXECUTE

8. Ask your self:
1. Am I checking each step of my plan?before?
2. Am I keeping an accurate record of my work?
3. Am I keeping my work organized so that I can
explain my thinking to others?
4. Do I need to go back in planning to change it?
5. Do I have the correct solution?
Execute

9. You've come so far! But you're
not finished yet! A mathematician
must always go back and check
his/her work. Reviewing your work
is just as important as the first 3
steps.
D. REVIEW

10. Ask your self: Read the problem again before
asking yourself.
1. Is my answer reasonable?
2. Can I use estimation to check if my answer is
reasonable?
3. Is there another way to solve this problem?
4. I did'nt get the correct answer. What went
wrong? Where did I make a mistake?
Review

11. In Mang Lucio's computer shop, Bryce paid
156.80 for 7 hours of surfing the net for his
project. How much is the computer rent per hour?
Example: Routine Word Problem
Mang Lucio's Computer Shop
OFFICIAL RECEIPT
Total No. of Hours :7
Other: 0.00
Total Amount: 156.80

12. Understand:
1. What is asked?
The amount of computer rent per hour?
2. What are the given facts?
7 hrs. of computer rent cost 156.80
Plan
What operation shall we use to solve the problem? Select your own strategy.
Divide 156.80 pesos by 7 to get the one hour rental fee

13. Execute/Solve: Show your computation.
22.40
7 156.80
- 14
16
- 14
28
- 28
0
- 0
0
Answer: The computer rent per hour is 22.40 pesos.

14. Review:
One way of checking your answer is by multiplying
22.40 pesos x 7.

15. Example: Non-Routine Word
Problem
A farmer has cows and chickens. His animals
have 40 legs in all. He has 2 more chickens than
cows. How many cows and chickens does he
have?

16. Strategy:
Making a guess: Suppose the farmer has 1 cow.
check: 1 cow has 4 legs
40 - 4 = 36
legs in all legs of a cow
Chickens have 2 legs.
36 ÷ 2 = 18
The difference between cows and chickens
is too large.
Guess again: Suppose the farmer has 8
cows.
Check:
8 cows have 32 legs
40-32 = 8
8 ÷ 2 = 4
He would have 4 chickens.
1 cow
18 chickens

17. The farmer has more cows than chickens.
8 cows is too many.
Guess again:
Suppose the farmer has 6 cows.
6 cows have 24 legs.
40 - 24 = 16
16 ÷ 2 = 8
He would have 8 chickens.
There are 2 more chickens than cows.
The farmer has 6 cows and 8 chickens.
6 cows
8 chickens
8 cows
4 chickens

18. Created by:
Nerisa H. Corpin