Consider the street map in figure 3.2. allison wishes to walk directly from point a to point b. how many different routes can she take if she wants to go past starbucks on third avenue?
Route Problem
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Polya’s Method is one of the technique in using to solve a word problem. This helps the students to analyze every details of the situation.
Solution using Polya’s Method
Step 1: Understand the Problem
If Allison changed her route away from point B, we wouldn’t be able to respond. Therefore, we assume that she always follows a street in a way that brings her closer to point B when taking a direct route.
Step 2: Devise a Plan
The map in Figure 1.2 has numerous superfluous information. As a result, we create a diagram that enables us to focus on important data. We take into account the similar but less complex illustrations below as there are numerous routes. Also every street intersection’s value means how many routes there are from point A to that specific crossroads.
Step 3: Carry Out the Plan
Using the pattern discovered above, we see from the figure at the left that the number of routes from point A to B is 20 + 15 = 35.
Therefore, there are 35 possible routes take if she wants to go past starbucks on third avenue
Step 4: Review the Solution
Tell oneself how an outcome of 35 seems rational. Suppose you were considered necessary to sketch each pathway, might you construct a strategy that might facilitate you to sketch each road without losing a route or recreating a pathway?
Route Problems and Solution:
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