Presentation Transcript
Problem Solving: Problem Solving by Monica Yuskaitis
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Understand
the
problem
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 ProblemRead the problem carefully.: 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?
Step 1 - Understand the ProblemFind the important information.: 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?
Step 1 - Understand the ProblemWrite down the numbers.: 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 = 31 1st week =14
Step 1 - Understand the ProblemIdentify what the problem wants you to solve.: 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 = 31 1st week =14 2nd week = ?
Step 1 - Understand the ProblemAsk if your answer is going to be a larger or smaller number compared to what you already know.: Step 1 - Understand the Problem Ask 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 steps: 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 problemChoose a method: Step 2 - Decide how you’re going to solve the problem Choose 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 problemWrite your equation: 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 = 31 1st week =14 2nd week = ?
Step 2 - Decide how you’re going to solve the problemWrite your equation: Step 2 - Decide how you’re going to solve the problem Write 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 = ?
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Solve
The
Problem
Step 3 - Solve the problem: Step 3 - Solve the problem 3 1
– 1 4 Total = 31 1st week =14 2nd week = ? 2 1 7 1
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Look
Back andamp;
Check
Step 4 - Look Back & CheckReread the problem: Step 4 - Look Back andamp; Check Reread 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 & CheckSubstitute your new number: Step 4 - Look Back andamp; 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
Step 4 - Look Back & CheckSubstitute your new number: Step 4 - Look Back andamp; 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? 14 + 17 = 31
Step 4 - Look Back & CheckDid your new number work?: Step 4 - Look Back andamp; Check Did 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? 14 + 17 = 31 Yes!
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 problem.: 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 problem.: 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 problem.: 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 problem.: 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 problem.: 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
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