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Problem Solving. 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. Identify what the problem wants you to solve.

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problem solving

Problem Solving

by Monica Yuskaitis

step 1 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.
  • Ask if your answer is going to be a larger or smaller number compared to what you already know.
step 1 understand the problem read the problem carefully
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?
step 1 understand the problem find the important information
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?
step 1 understand the problem write down the numbers
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

step 1 understand the problem identify what the problem wants you to solve
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 = ?

slide8
Step 1 - Understand the ProblemAsk if your answer is going to be a larger or smaller number compared to what you already know.

Total = 31

1st week =14

2nd week = ?

It will be smaller than the total but may or may not be smaller than the first week.

problem solving is easy if you follow these steps9
Problem Solving is easy if you follow these steps

Decide how

you’re going to

solve the

problem

step 2 decide how you re going to solve the problem choose a method
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

step 2 decide how you re going to solve the problem write your equation
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 = ?

step 2 decide how you re going to solve the problem write your equation12
Step 2 - Decide how you’re going to solve the problemWrite your equation

I can use the inverse operation to solve for s

14 + s = 31 31 – 14 = s

Total = 31

1st week =14

2nd week = ?

step 3 solve the problem
Step 3 - Solve the problem

3 1

– 1 4

Total = 31

1st week =14

2nd week = ?

2

1

1

7

step 4 look back check reread the problem
Step 4 - Look Back & CheckReread the problem
  • 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

step 4 look back check substitute your new number
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

step 4 look back check substitute your new number18
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?

14 + 17 = 31

step 4 look back check did your new number work
Step 4 - Look Back & CheckDid your new number work?
  • 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?

Yes!

14 + 17 = 31

write an equation to solve this problem
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

write an equation to solve this problem21
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?

2 x d = 124 2d = 124

inverse operation d = 124/2

write an equation to solve this problem22
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?

15 x b = 90 15b = 90

inverse operation b = 90/15

write an equation to solve this problem23
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?

3 x c = 36 3c = 36

inverse operation c = 36/3

write an equation to solve this problem24
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.

4 x s = 48 4s = 48

inverse operation s = 48/4

write an equation to solve this problem25
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

credits
Credits
  • Clipart from Broderbund ClickArt 125,000 Deluxe Image Pak
  • Clipart from Corel Gallery by Corel Corp.