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 Problem Read 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 Problem Find 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 Problem Write 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 = 311st week =14

7. Step 1 - Understand the Problem Identify 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 = 311st week =14 2nd week = ?

8. Step 2 - Decide how you’re going to solve the problem Choose a method Use a graphUse formulas Write an equationMake a list Find a patternWork backwards Use reasoningDraw a picture Make a tableAct it out

9. Step 2 - Decide how you’re going to solve the problem Write your equation Since I know both weeks total 31 I write 14 + s = 31 Total = 311st week =14 2nd week = ?

10. Step 3 - Solve the problem 3 1 – 1 4 Total = 311st week =14 2nd week = ? 2 1 71

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

12. Step 4 - Look Back & Check Substitute 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 Problem Read 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 Problem Find 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 Problem Write down the key information. 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east

22. Step 1 - Understand the Problem Identify 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 problem Choose a method Use a graphUse formulas Write an equationMake a list Find a patternWork backwards Use reasoningDraw a diagram Make a tableAct it out

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

25. Step 4 - Look Back & Check Did you solve what the problem asked you to solve? N E S W start 1 mile finish 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

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? 15 12 1 ½

27. 15” 12” 1 ½ Step 1 – Add the two mat edges together. 1 ½ + 2/22 Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.

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

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

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

31. 12” 9” 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

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? EPZLR