|
Academic Connections:
Math Building or Adding to Computer Systems
Teach Me!
Goal:
You
will learn how to solve math word problems using the four-step method.
What is a math word problem?
A
math word problem is a real life situation that requires math for the
problem to be solved. For example, every time we spend money, we are
presented with a math problem.
How does the four-step method solve math word problems?
Word problems in math can be confusing. Solving problems requires performing
several actions. There are four steps:
Step 1: Understand
What
is the problem? What are you asked to do?
Step 2: Plan
What
do you need to do to solve the problem? Choose a problem-solving strategy.
Step 3: Work
Carry
out the plan. Do any necessary calculations.
Step 4: Answer
What
is your answer? Is it reasonable? Does it really answer the question?
Buying a Computer System
Most
math problems require attention to detail. Setting up and buying a computer
system requires attention to the details of printed sales material,
such as cost and what the parts or components do. Let's look at an example
of a math word problem that deals with buying a computer system. For
now, if you do not know any of the abbreviations or acronyms in the
problem below, don't worry. We explain those in the Let Me Try It!
part.
For
three years, Laurie has been using her mom's old computer. It does word
processing and some art. The printer, which was slow anyway, quit working
a year ago. She really needs a new computer that will allow her to write
book reports, and she would like to be able to play games.
Math Word Problem
Laurie
has made the following shopping list: 15-inch color monitor, fairly
fast CPU with 256K cache, basic keyboard, mouse, joystick, word processing
software, and color printer. If possible, she would also like to get
the Castle Monsters computer game.
Laurie
has been following online computer ads and knows the prices for the
components she wants: monitor$150, 600 MHz CPU, 256K cache$244;
basic keyboard$20, mouse$20, joystick$75; word processing
software$280; inkjet color printer$150; laser color printer$500;
and Castle Monsters computer game$40. Laurie has $900 to spend
(she saved $400 and her grandfather offered to give her $500) for a
new computer system. Because she'll buy the computer online, in her
state she will pay no taxes. What can Laurie buy?
Using the Four-Step Method
Step
1: Understand
What
is the problem? What are you asked to do? Figure what Laurie can buy
for $900.
Step 2: Plan
What
do you need to do to solve the problem? Choose a problem-solving strategy.
Add the prices of the necessary components. Then add other components
until the total reaches $900.
Step 3: Work
Carry
out the plan. Do any necessary calculations.
| Necessary
Components |
Price |
| 15-inch
color monitor |
$
150 |
| 600
MHz CPU with 256K Cache |
244 |
| Basic
keyboard |
20 |
| Mouse
|
20 |
| Word
processing software |
280 |
| _____________________________________________ |
| Subtotal |
$
714 |
Other Components |
|
| Inkjet
color printer |
+
150 |
| _____________________________________________ |
| Total |
$ 864 |
Step
4: Answer
What
is your answer? Is it reasonable? Does it really answer the question?
Laurie can afford to buy the 15-inch monitor, 600 MHz CPU with 256K
cache, a basic keyboard, a mouse, word processing software, and an inkjet
printer. The total for these components is $864. The game, joystick,
and laser printer are not necessary and would make the total more than
$900. She'll also have to wait to buy the Castle Monsters game.
The answer is reasonable given the figures being used in the problem.
Are
you ready to use the 4-part system to solve word problems? Click the
Let Me Try It! link below.
Let Me Try It!
|