Lesson 1-1 Using a Problem Solving Plan

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Lesson 1-1Using a Problem Solving Plan
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Problem Solving is easy if you follow these steps
1 Explore
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Step 1 Explore

• 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.

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Step 1 - ExploreRead 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?

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Step 1 - ExploreFind 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?

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Step 1 - ExploreWrite 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
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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 ?
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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.
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Problem Solving is easy if you follow these steps
2 Plan how you are going to solve
the problem
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Step 2 - Decide how youre 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

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Step 2 - Decide how youre going to solve the
problemWrite your equation
Total 31
1st week 14
2nd week ?

• Since I know both weeks total 31 I write
• 14 s 31

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Step 2 - Decide how youre going to solve the
problemWrite your equation
Total 31
1st week 14
2nd week ?

• I can use the inverse operation to solve for s
• 14 s 31 31 14 s

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Problem Solving is easy if you follow these steps
3 Solve The Problem
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Step 3 - Solve the problem
Total 31
1st week 14
2nd week ?
2

• 3 1
• 1 4

1
7
1
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Problem Solving is easy if you follow these steps
4 Examine
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Step 4 - 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
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Step 4 - 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
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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
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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
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Ex 1 Solve

• Find the next term in
• 1, 4, 16, 64, 256

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Ex 2 Solve

• The price of a large cheese pizza at Pauls Pizza
  Place is 9.25. You receive a 0.50 discount for
  each additional pizza ordered up to 10. So, one
  pizza cost 9.25, two costs 8.75, ect. If you
  need 8 pizzas for a party, what is the cost per
  pizza?

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Ex 3

• A cookie shop offers 6 varieties of cookies and
  bakes 5 dozen of each kind every day, Mon to Fri.
  How many cookies are baked in four weeks?

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Ex 4

• Navneet has 3 times as many CDs as Arlene. If
  Navneet has 36 CDs, how many does Arlene have?

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Ex 5

• Jeremy needs to type a 500-word report for
  science class. He knows he can type about 19
  words per minute. About how long will it take
  him to type his report?

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Practice Time!!!