1.5 Problem Solving Using Algebraic Models

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1.5 Problem Solving Using Algebraic Models

• p. 33

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Name five problem solving strategies.What is
the 1st thing you should do when you have to work
a word problem?
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Verbal Model
(Remember your formulas!!!) Boxes with words
separated by math symbols such as , , , etc.


1. Use a formula
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Algebraic Model
A mathematical statement with variables and math
symbols.
A bh
where A area blength of base
hheight
You must tell what each variable stands for!!
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Example Write a verbal model.
On August 15, 1995, the Concorde flew 35,035
miles from NYC to NYC in 31 h 27 min. What was
the average speed in mi/h?
Total time
Average Speed
Total miles


Now solve the problem using the verbal model as a
guide.
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Drawing a Diagram
RAILROADS In 1862, two companies were given
the rights to build a railroad from
Omaha, Nebraska to Sacramento, California. The
Central Pacific Company began from Sacramento
in 1863. Twenty-four months later, the Union
Pacific Company began from Omaha.
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• The Central Pacific Company averaged 8.75 miles
  of track per month. The Union Pacific Company
  averaged 20 miles of track per month. The photo
  shows the two companies meeting in Promontory,
  Utah, as the 1590 miles of track were completed.
  When was the photo taken? How many miles of track
  did each company build?

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Make a Chart
rate time distance
Central P 8.75 t 8.75t
Union P 20 t -24 20(t -24)
Total 1590
8.75t 20(t - 24) 1590
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Look for a Pattern Guess and Check

• See examples 5 6 on page 36.

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• Name five problem solving strategies.Use a
  formula, draw a picture, make a chart, look for a
  pattern , or guess check.
• 2. What is the 1st thing you should do when you
  have to work a word problem?
• Read the whole problem.

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Assignment
p. 37, 8-21, 28-29, Quiz 2, 1-8