How Simplify the Problem ?
Introduce a problem to students that is complex and might be easier to solve if it were simplified. For example:
On your way to visit a friend, you leave your house at 2:45 P.M. and travel 1 3/4 miles to the train, 12 1/2 miles on the train, and 3/4 mile to your friend’s house from the train station. If you get there at 4:15 P.M., how many miles per hour did you travel?
1. Understand the Problem
Demonstrate that the first step is understanding the problem.
This involves identifying the key pieces of information needed to find the answer.
Students may need to read the problem several times and/or put the problem into their own words.I know I left at a certain time, arrived at a certain time, and traveled a certain distance. I need to find how many miles per hour I traveled.
2. Choose a Strategy
For this problem, it might be helpful for students to use simpler numbers to learn the steps they need to follow to solve it.
Have students change the problem to:I left the house 1:00, traveled 12 miles, and arrived at 4:00. How many miles per hour did I travel?
3. Solve the Problem
First, have students solve the problem using the simpler numbers.I left the house 1:00, traveled 12 miles, and arrived at 4:00. How many miles per hour did I travel?
I traveled 12 miles.
It took 3 hours.
To find the miles per hour, I divide 12 by 3 to get 4 miles per hour.Next,
have them write down the steps they used to solve the problem.
Find the distance traveled.
Find the time spent.
Divide to find the miles per hour.Then, have them use the actual numbers from the problem and follow the same steps.
Find the distance traveled.
1 3/4 + 12 1/2 + 3/4 = 15 miles
Find the time spent.
The time from 2:45 to 4:15 is 1 hour and 30 minutes, or 1 1/2 hours.
Divide to find the miles per hour.
15 divided by 1 1/2 = 10 miles per hour
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