Name: _________________________
Date: ______________
Problem Solving Strategies
Strategy
Application
1
Make a Table or Chart.
The problem has data that needs to be organized.
2
Look for a pattern.
The problem describes a relationship.
3
Solve a similar simpler problem.
The problem is complex or has numbers
that are too cumbersome.
4
Draw a sketch.
The problem describes a picture or diagram.
5
Write an equation and solve it.
The problem can be solved using a mathematical
sentence that includes algebraic expressions,
variable, and an = sign.
6
If a formula applies, use it.
The problem describes a situation that requires
the use of a mathematical formula.
7
Work Backward.
The problem is solved by finding the number
that led to the result in the problem.
8
Guess and check.
The problem is too complicated to solve directly.
9
Use trial and error.
Strategically use random or given numbers as
possible answers to determine if a solution is reached.
10
Use common sense.
In a real-world situation, what are
and are not the possible solutions.
11
Make a graph
Use a graphical representation to solve the problem
12
Look for a “catch” if an answer
seems too obvious or impossible.
Focus on the words used in the problem. Determine
what is really being asked. Is there a trick question?
Critical thinking and problem solving skills are vital to being successful in math and life in general. If you
think about it your success and wealth is greatly influence by how well you solve problems. (cth)
George Polya (1887-1985) in How to Solve It (Princeton University Press, Princeton, NJ., 1957) established
a model for problem solving. He used a four-step process for problem solving:
1.
2.
3.
4.
Understand the problem,
Devise a plan,
Carry out the plan and solve the problem,
Look back and check the answer.
Math Info sheet #1
09-26-12 (cth)