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## Solves Multi- step Routine and Non-routine Problems involving Division and any of the other Operations of Decimals, Mixed Decimals, and Whole Numbers Including Money

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- 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

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