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Problem Solving

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the life we live in contains natural porblems,in which it's solving takes most of our time, resently psychologists emerge ways of solving problems easily and more concise.

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Problem Solving

1. 1. Problem Solving Draw a Diagram by Monica Yuskaitis
2. 2. Problem Solving is easy if you follow these steps Understand the problem
3. 3. Step 1 – Understand the problem <ul><li>Read the problem carefully. </li></ul><ul><li>Find the important information. </li></ul><ul><li>Write down the numbers. </li></ul><ul><li>Identify what the problem wants you to solve. </li></ul><ul><li>Ask if your answer is going to be a larger or smaller number compared to what you already know. </li></ul>
4. 4. Step 1 - Understand the Problem Read the problem carefully. <ul><li>A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point? </li></ul>
5. 5. Step 1 - Understand the Problem Find the important information. <ul><li>A Girl Scout troop went on a hike. </li></ul><ul><li>First they walked 1 mile east, then </li></ul><ul><li>2 miles south, then 3 miles west, </li></ul><ul><li>and 1 mile north, then 2 miles east. </li></ul><ul><li>How far is the troop from their </li></ul><ul><li>starting point? </li></ul>
6. 6. Step 1 - Understand the Problem Write down the key information. <ul><li>A Girl Scout troop went on a hike. </li></ul><ul><li>First they walked 1 mile east, then </li></ul><ul><li>2 miles south, then 3 miles west, </li></ul><ul><li>and 1 mile north, then 2 miles east. </li></ul><ul><li>How far is the troop from their </li></ul><ul><li>starting point? </li></ul>
7. 7. Step 1 - Understand the Problem Write down the key information. <ul><li>1 mile east, </li></ul><ul><li>2 miles south, </li></ul><ul><li>3 miles west, </li></ul><ul><li>1 mile north, </li></ul><ul><li>2 miles east </li></ul>
8. 8. Step 1 - Understand the Problem Identify what the problem wants you to solve. <ul><li>A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point? </li></ul>
9. 9. Problem Solving is easy if you follow these steps Decide how you’re going to solve the problem
10. 10. Step 2 - Decide how you’re going to solve the problem Choose a method <ul><li>Use a graph Use formulas </li></ul><ul><li>Write an equation Make a list </li></ul><ul><li>Find a pattern Work backwards </li></ul><ul><li>Use reasoning Draw a diagram </li></ul><ul><li>Make a table Act it out </li></ul>
11. 11. Step 2 - Decide how you’re going to solve the problem Make your diagram N E S W start 1 mile finish
12. 12. Problem Solving is easy if you follow these steps Solve The Problem
13. 13. Step 3 - Solve the problem N E S W start 1 mile finish Measure the distance between the start and the finish & compare it to the mile.
14. 14. Problem Solving is easy if you follow these steps Look Back & Check
15. 15. Step 4 - Look Back & Check Reread the problem <ul><li>A Girl Scout troop went on a hike. </li></ul><ul><li>First they walked 1 mile east, then </li></ul><ul><li>2 miles south, then 3 miles west, </li></ul><ul><li>and 1 mile north, then 2 miles east. </li></ul><ul><li>How far is the troop from their </li></ul><ul><li>starting point? </li></ul>
16. 16. Step 4 - Look Back & Check Compare the information from the problem to your work. <ul><li>1 mile east, </li></ul><ul><li>2 miles south, </li></ul><ul><li>3 miles west, </li></ul><ul><li>1 mile north, </li></ul><ul><li>2 miles east </li></ul>N E S W start 1 mile finish
17. 17. Step 4 - Look Back & Check Did you solve what the problem asked you to solve? <ul><li>1 mile east, </li></ul><ul><li>2 miles south, </li></ul><ul><li>3 miles west, </li></ul><ul><li>1 mile north, </li></ul><ul><li>2 miles east </li></ul>N E S W start 1 mile finish How far is the troop from their starting point? one mile
18. 18. Draw a diagram to solve this problem. <ul><li>A picture frame with a photo is 15 inches wide and 12 inches high. A mat around the photo is 1 ½ inches wide on all sides. What are the dimensions of the photo? </li></ul>15 12 1 ½ 1 ½ 1 ½ 1 ½
19. 19. 15” 12” 1 ½ 1 ½ 1 ½ 1 ½ Step 1 – Add the two mat edges together. 1 ½ 1 ½ + 2/2 2 Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.
20. 20. 15” 12” 1 ½ 1 ½ 1 ½ 1 ½ 1 ½ 1 ½ + 1 3 Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.
21. 21. 15” 12” 1 ½ 1 ½ 1 ½ 1 ½ 15 3 - 12 Step 3 – To get the width of the photo subtract the 3 from 15.
22. 22. 15” 12” 1 ½ 1 ½ 1 ½ 1 ½ 12 3 - 9 Step 4 – To get the height of the photo subtract the 3 from 12.
23. 23. 12” 9” 1 ½ 1 ½ 1 ½ 1 ½ 12 3 + 15 Step 5 – Your photo size is 12 x 9 inches. To check your work, add 2 times the mat width to each of your new measurements. 9 3 + 12
24. 24. Draw a diagram to solve this problem. <ul><li>The Zunigas, Estoleros, Leys, Penas and Rices all live on the same road in a row. The Estoleros live in the middle house. The Penas live in the first house. The Leys live between the Estoleros and the Zunigas. Who lives in the second house? </li></ul>E P Z L R