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Problem Solving Draw a Diagram

Problem Solving Draw a Diagram. by Monica Yuskaitis. 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.

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Problem Solving Draw a Diagram

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  1. Problem SolvingDraw a Diagram by Monica Yuskaitis

  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. • Ask if your answer is going to be a larger or smaller number compared to what you already know.

  4. 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?

  5. 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?

  6. Step 1 - Understand the ProblemWrite down the key 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?

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

  8. 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?

  9. Problem Solving is easy if you follow these steps Decide how you’re going to solve the problem

  10. 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

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

  12. Problem Solving is easy if you follow these steps Solve The Problem

  13. Step 3 - Solve the problem Measure the distance between the start and the finish & compare it to the mile. N start W E S finish 1 mile

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

  15. Step 4 - Look Back & CheckReread the problem • 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?

  16. Step 4 - Look Back & CheckCompare the information from the problem to your work. 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east N W E start S finish 1 mile

  17. 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

  18. 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

  19. 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.

  20. 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.

  21. 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.

  22. 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.

  23. 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.

  24. 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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