Problem Solving
What is problem solving?
Finding a way to fix or answer a problem.
Try different ways or method until you get the correct answer.
Trial and Error
If a train leaves the station at 3:00 PM and takes 2 hours to get to the next city, what time will it arrive?
5pm
What is the third step in Polya method?
Carry out the Plan
Common difference of 57,61,65,69, 73,77…
4
What is Mathematical Problem?
A mathematical problem is a question that uses numbers or math to find an answer.
Make a guess and check if it’s correct.
Guess and Check
A laptop costs $600. You save $100 each month. How many months will it take to save enough money?
6 months
What is the second step in Polya method?
Diverse a Plan
Lowest term of 26/30
13/15
Joyjoy has 5 pieces of bread. She gives 2 pieces of bread to her friend. How many bread does she have left?
Analyze patterns to predict the next steps.
Using Patterns
You work online and earn $10 each hour. If you work for 5 hours, how much money will you make?
$50
What is the fourth step in Polya method?
Look Back
⅕ + 4/6 =_____
26/30 or 13/15
What is Logical Reasoning?
Using facts to find an answer.
Start from the answer and go in reverse.
Woking Backwards
A video is 12 minutes long. You have already watched 7 minutes. How many minutes are left?
5 minutes
What is the first step in Polya method?
Understand the Problem
2/4 + 2/4 =_______
1
Why is it important to think before you solve a problem?
Thinking helps you choose the best and smartest solution.
Visualizing the problem.
Drawing a Diagram
There are 5 boxes. Each box has 6 apples. How many apples are there in total?
30 apples
Who invented Polya method?
George Polya
Find the number of handshakes in a room with 5 people in which everyone shakes hands with everybody else exactly once.
10