Problem Solving

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Problem Solving

• Created by Mr. Hemmert

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ARMT Standards

• 6 Solve problems, including word problems, that
  involve addition and subtraction of four digit
  numbers with and without regrouping.
• 7 Solve problems, including word problems,
  involving the basic operations of multiplication
  and division on whole numbers through two-digit
  multipliers and one-digit divisors.

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Essential Question

• How does problem solving in math apply to our
  everyday lives?

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Key Words List all the key words for the
different operations.
Addition Subtraction Multiplication Division

Go to the next slide to check your answers.
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Key Words List all the key words for the
different operations.
Addition Subtraction Multiplication Division
total combined how many in all how many difference have left how many more how much more fewer total in all altogether times in each half share equally
Go to the next slide to check your answers.
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Note about Key Words for Multiplication Word
Problems

• There is a difference between addition key words
  and multiplication key words.
• In multiplication key words, you are finding a
  total when given equal groups.
• Go to the next slide for an example.

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Multiplication Key Words

• Ex Scott has 25 boxes of markers. Each box has
  10 markers in it. How many markers does Scott
  have in all?
• Do we have groups? What are they?
• What key word is letting us know that we need to
  multiply?
• Could you add this problem and get the correct
  answer?

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Division Key Words

• Divide to find a number of equal groups or the
  number in equal groups.
• Key words like in each, half and share
  equally suggest you should divide.

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Example of a Division Word Problem

• Mary Alice has invited 220 people to her wedding.
  She has tables that seat 4 people each. How many
  tables does Mary Alice need?
• What are we trying to solve?
• How many tables Mary Alice will need to seat 220
  people.

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Example 1 Solve

• Jacob has 96 baseball cards to place in a
  baseball card album. He can place 6 cards on each
  page.
• How many pages will Jacob need?
• If Jacob had 30 pages, how many baseball cards
  would it take to fill up all 30 pages?

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Example 1 Steps to Solve

• Jacob has 96 baseball cards to place in a
  baseball card album. He can place 6 cards on each
  page.
• How many pages will Jacob need?
• Step 1 What operation would I use to solve this
  problem? What do I know? What am I solving?
• Step 2 Solve
• Step 3 Put your answer in sentence form.

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Example 1 Solved

• Jacob has 96 baseball cards to place in a
  baseball card album. He can place 6 cards on each
  page.
• How many pages will Jacob need?
• Step 1 I would use division because Im
  grouping baseball cards.
• Step 2 96/6 16
• Step 3 Jacob will need 16 pages for 96 baseball
  cards.

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Example 1b

• Jacob has 96 baseball cards to place in a
  baseball card album. He can place 6 cards on each
  page.
• If Jacob had 30 pages, how many baseball cards
  would it take to fill up all 30 pages?
• Step 1 What operation would I use to solve this
  problem? What do I know? What am I solving?
• Step 2 Solve
• Step 3 Put your answer in sentence form.

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Example 1b

• Jacob has 96 baseball cards to place in a
  baseball card album. He can place 6 cards on each
  page.
• If Jacob had 30 pages, how many baseball cards
  would it take to fill up all 30 pages?
• Step 1 Well I know that Jacob has 30 pages and
  that it takes 6 cards to fill up a page.
  Therefore, to find how many cards he will need to
  fill all 30 pages, I will multiply.
• Step 2 30 times 6 180
• Step 3 Jacob will need 180 cards to fill 30
  pages in his baseball card album.

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Example 2

• Anna had 6.26. She bought a pack of mints for
  0.75 and a soft drink for 1.09.
• A. How much did the mints and drink cost
  together?
• B. How much did Anna have left after she bought
  those two items?

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Step by Step 2a

• Anna had 6.26. She bought a pack of mints for
  0.75 and a soft drink for 1.09.
• A. How much did the mints and drink cost
  together?
• Step 1 What operation would I use to solve this
  problem? What do I know? What am I solving?
• Step 2 Solve
• Step 3 Put your answer in sentence form.

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Step by Step 2a

• Anna had 6.26. She bought a pack of mints for
  0.75 and a soft drink for 1.09.
• A. How much did the mints and drink cost
  together?
• Step 1 Since Im finding the total cost of the
  mints (.075) and the soft drink (1.09) I know I
  have to add.
• Step 2 0.75 1.09 1.84
• Step 3 The drink and mints cost 1.84.

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Step by Step 2b

• Anna had 6.26. She bought a pack of mints for
  0.75 and a soft drink for 1.09.
• B. How much did Anna have left after she bought
  those two items?
• Steps
• Step 1 What operation would I use to solve this
  problem? What do I know? What am I solving?
• Step 2 Solve
• Step 3 Put your answer in sentence form.

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Step by Step 2b

• Anna had 6.26. She bought a pack of mints for
  0.75 and a soft drink for 1.09.
• B. How much did Anna have left after she bought
  those two items?
• Steps
• Step 1 Since I need to find out how much Anna
  will have left after buying those two items, I
  must use my answer from part a (how much money
  she spent 1.84) and subtract that from how much
  money she had to begin with (6.26)
• Step 2 6.26 - 1.84
• Step 3 Anna will have 4.42 left after buying
  these two items.

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Your Turn

• You are going to complete the rest of the problem
  solving questions on your worksheet. Be sure to
  follow the problem solving steps Ive shown you
  today. You will be allowed to use a calculator to
  check your work but you must show me all of your
  work in order to get the full amount of points.