6th Grade Math Textbook, Fundamentals

Problem-Solving Strategies

1.Guess and Test

2.Organize Data

3.Find a Pattern

4. Make a Drawing
   5.Solve a Simpler Problem
   6.Reason Logically
   7.Adopt a Different Point of View
   8.Account for All Possibilities
   9.Work Backward
   10.Consider Extreme Cases

142 Chapter 5

Problem-Solving Strategy:

Make a Drawing

Objective To solve problems using the strategy

Make a Drawing

Problem 1:The clock tower in Liberty Square, known for its accuracy,
chimes its bell every hour on the hour at equal intervals. If the clock
strikes 6 chimes at 6 o’clock in 6 seconds, how long would it take for the
clock to strike 12 chimes at 12 o’clock? (To complete the problem, assume
that the chime itself takes no time.) Hint:The answer is not 12 seconds.

5-18

Read to understand what is being asked.

List the facts and restate the question.

Facts: Each chime occurs within an equal interval.

6 chimes strike in 6 seconds at 6 o’clock.

The answer is not 12 seconds.

Question:How long would it take for the clock

to strike 12 chimes at 12 o’clock?

Select a strategy.

Using the strategy Make a Drawingwill help you

understand the situation.

Apply the strategy.

• First make a drawing that relates to the facts. Use
  dots to represent the chimes that occur at 6 o’clock.

The 6 chimes occur in 6 seconds. There are 5 intervals throughout

the ringing of 6 chimes, therefore each interval must take seconds.

• Make a drawing to represent the chimes that
  occur at 12 o’clock.

You can see that there are 11 intervals when there are 12 chimes.

If each interval takes seconds, then multiply by 11 to find how

long it takes for 12 chimes.

11 •  13

The clock takes 13 seconds to strike 12 chimes.

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5

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6

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6

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Check to make sure your answer makes sense.

There are twice as many chimes, so there ought to be about twice

as much time used. It appears to be so.

Think

(^65) • 5  6