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# Problem Solving Strategies: Story Problems PowerPoint PPT Presentation

Problem Solving Strategies: Story Problems. STEP ONE. Read the story problem through. Read again to identify the important information (numbers & key words) you will need to solve the problem. Make sure you know the question you are answering. STEP TWO.

Problem Solving Strategies: Story Problems

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## Problem Solving Strategies: Story Problems

### STEP ONE

• Read the story problem through.

• Read again to identify the important information (numbers & key words) you will need to solve the problem.

• Make sure you know the question you are answering.

### STEP TWO

• Identifying what type of arithmetic you will need to do (based on key words)

• Subtraction

• Multiplication

• Division

• Addition story problems often use words like:

• Sum

• More than

• Increased by

• Combined

• Together

• Total of

• EXAMPLE:

• Jane has 10 Barbie's and for her birthday she gets 3 more. How many Barbie’s does Jane have now? (10+3=?)

### Subtraction

• Subtraction story problems often use words like:

• Difference

• Less than

• Fewer than

• Decreased by

• Reduced by

• (how many) More

• (how many) Left

• Minus

• Take away

• EXAMPLE:

• If there are 10 cars in one parking and 6 fewer cars in the second parking lot. How many more cars are there in the second parking lot? (10-6=?)

### Multiplication

• Multiplication story problems often use words like:

• Of

• Times

• Multiplied by

• Product of

• EXAMPLE:

• If Mary has 3 pets and Annie has 2 times as many pets as Mary. How many pets does Annie have? (3x2=?)

• {or “twice” as many}

• 12 is 25% of what number?

• (12 = 0.25x)

### Division

• Division word problems often use words like:

• Quotient

• Per

• Each

• Out of

• Ratio of

• EXAMPLES:

• If Bobbi had 15 cookies and ate the same amount each day for 5 days how many did she eat per day? (15 / 5=? )

• If Madison spent 3 hours doing homework the last 4 days, how much did she do each day? (3/4)

• 4 out of 5 dentists recommend flossing daily. (4/5)

### STEP THREE

• Put the information into a useful form:

• Write a Verbal Model

• Write an Algebraic Model

• Create a Table

• Draw a Diagram

### STEP FOUR

• Solve the Problem

• Does it fit a known type of Problem?

• Interest : I =Prt

• Distance: D=rt

• Geometric: A = bh, C=2Π, V=1/3Bh

• What type of solution is it? Numeric? Algebraic?

• Are there answers you can eliminate?

• Using one of the following strategies

### Choose a Strategy to Solve the Problem:

• Write an Equation or Inequality

• Make a Table

• Drawings and illustrations

• Working Backwards (try given answers)

• Guess and Check

### WRITE AN EQUATION

• John and 2 friends are going out for a pizza for lunch. They split one pizza and 3 large drinks. The pizza costs \$14.00. After using a \$7.00 gift certificate, the spend a total of \$12.10. What is the cost of one large drink.

• 3 drinks (John + 2 friends = 3) = 3d

• 1 pizza = 14:00

• Discount = -7.00

• Total = 12.10

• 3d + 14.00 – 7.00 = 12.10

### MAKE A TABLE

• Andy and his parents decided that for his allowance would go up one dollar and 50 cents every week for 3 consecutive weeks. If he starts out at getting 6 dollars how much would he make week 5?

Week

\$ allowance

1

\$6.00

2

\$7.50

3

\$9.00

4

\$10.50

5

\$12.00

\$12.00

### DRAWINGS AND ILLUSTRATIONS

• Drawing a picture is a great way to solve word problems.

• Makes it is easy to see WHY you get the answer.

EXAMPLE:

The length of a rectangle is 3 more than twice the width. If the Perimeter is 36 feet, how wide id the rectangle?

2w + 3

2w+3+w+2w+3+w = 36

6w +6 =36

w

w

2w + 3

### WORKING BACKWARDS

This works well for Multiple Choice Questions

A Camera manufacturer spends \$2,100 a day plus \$9 per camera. The cameras sell for \$14 each. How many cameras must they sell top break even?

a) 420 b) 480 c) 380 d) 150

2100 + 9( number of cameras) = 14(number of cameras)

2100 + 9(420) = 14(420) ? (hint start with the middle value)

2100 + 9(480) = 14(480) ?

2100 + 9(380) = 14(380) ?

2100 + 9(150) = 14(150) ?

### GUESS AND CHECK

If two sisters ages add up to 22 years and one is 4 years older than the other what are there two ages?

Plan: Select random numbers that add up to 22

until you find two that are 4 apart.

• 10 and 12: 10+12=22 but 12-10=2 not 4;

• 8 and 14: 8+14= 22 but 14-8=6;

• 9 and 13: 9+13=22 and 13-9=4

so their ages are 9 and 13!

### STEP FIVE

• Writing your answer to the story problem is the final step

• When writing the answer there are a few things you have to remember

• What are you trying to find

• Your answer probably should be in units (mph, cups, or inches)

• Answer should be in a complete sentence.