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Problem Solving

Problem Solving. by Mr. Fitzgerald. Problem Solving is easy if you follow these steps. Understand the problem. Step 1 – Understand the problem. Read the problem carefully. Find the important information. Write down the numbers. Identify what the problem wants you to solve.

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Problem Solving

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  1. Problem Solving by Mr. Fitzgerald

  2. Problem Solving is easy if you follow these steps Understand the problem

  3. Step 1 – Understand the problem • Read the problem carefully. • Find the important information. • Write down the numbers. • Identify what the problem wants you to solve.

  4. Step 1 - Understand the ProblemRead the problem carefully. • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week?

  5. Step 1 - Understand the ProblemFind the important information. • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week?

  6. Step 1 - Understand the ProblemWrite down the numbers. • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week? Total = 31 1st week =14

  7. Step 1 - Understand the ProblemIdentify what the problem wants you to solve. • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week? Total = 31 1st week =14 2nd week = ?

  8. Step 2 - Decide how you’re going to solve the problemChoose a method Use a graph Use formulas Write an equation Make a list Find a pattern Work backwards Use reasoning Draw a picture Make a table Act it out

  9. Step 2 - Decide how you’re going to solve the problemWrite your equation Since I know both weeks total 31 I write 14 + s = 31 Total = 31 1st week =14 2nd week = ?

  10. Step 3 - Solve the problem 3 1 – 1 4 Total = 31 1st week =14 2nd week = ? 2 1 1 7

  11. Problem Solving is easy if you follow these steps Look Back & Check

  12. Step 4 - Look Back & CheckSubstitute your new number • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week? Total = 31 1st week =14 2nd week = 17

  13. Write an equation to solve this problem. • Jaylynn had $84.75 in her savings account. She made a deposit. Her new balance was $107.03. How much was her deposit? $84.75 + d = $107.03 Inverse operation $107.03 – $84.75 = d

  14. Write an equation to solve this problem. • Anthony has twice as many pokemon cards as Joshua. If Anthony has 124 cards, how many does Joshua have? 2d = 124 inverse operation d = 124/2

  15. Write an equation to solve this problem. • Vicki baked 90 cookies . If there are 15 cookies in each batch. How many batches did she bake? 15b = 90 inverse operation b = 90/15

  16. Write an equation to solve this problem. • Navneet has 3 times as many CD’s as Arlene. If Navneet has 36 CD’s, how many does Arlene have? 3c = 36 inverse operation c = 36/3

  17. Write an equation to solve this problem. • A square has a perimeter of 48 inches. What is the length of each side of the square. 4s = 48 inverse operation s = 48/4

  18. Write an equation to solve this problem. • One year the city ambulance responded to emergencies on 293 days. How many days were there no emergencies? 293 + d = 365 inverse operation d = 365 - 293

  19. Step 1 - Understand the ProblemRead the problem carefully. • 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?

  20. Step 1 - Understand the ProblemFind the important information. • 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?

  21. Step 1 - Understand the ProblemWrite down the key information. 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east

  22. Step 1 - Understand the ProblemIdentify what the problem wants you to solve. • 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?

  23. Step 2 - Decide how you’re going to solve the problemChoose a method Use a graph Use formulas Write an equation Make a list Find a pattern Work backwards Use reasoning Draw a diagram Make a table Act it out

  24. Step 2 - Decide how you’re going to solve the problemMake your diagram N W E start S finish 1 mile

  25. Step 4 - Look Back & CheckDid you solve what the problem asked you to solve? 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east How far is the troop from their starting point? one mile N start W E S finish 1 mile

  26. Draw a diagram to solve this problem. • 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? 1 ½ 1 ½ 15 12 1 ½ 1 ½

  27. 1 ½ 1 ½ 12” 1 ½ 1 ½ 15” + 2 2/2 1 ½ 1 ½ Step 1 – Add the two mat edges together. Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.

  28. 1 ½ 1 ½ 1 12” 1 ½ 1 ½ 15” + 3 1 ½ 1 ½ Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.

  29. 1 ½ 1 ½ 12” 15 3 15” - 12 1 ½ 1 ½ Step 3 – To get the width of the photo subtract the 3 from 15.

  30. 1 ½ 1 ½ 12” 12 3 15” - 9 1 ½ 1 ½ Step 4 – To get the height of the photo subtract the 3 from 12.

  31. 1 ½ 1 ½ 12 3 + 9” 15 12” 9 3 + 1 ½ 12 1 ½ 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.

  32. Draw a diagram to solve this problem. • 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? P R E L Z

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