Guess and Check Approach
Guess and check approach is one of the most popular and common strategies.
Understanding the math problem is the first step you need to do. The next step
is to identify the conditions given in the problem which have to be tackled. Finally is to
make a guess. After making the guess, check the guessed answer to be tally with the required conditions.
If the conditions (even one) are not satisfied, the answer will not be corrected.
Step Guideline
- Guess the answer
Make an intelligent guess, your child can begin with numbers somewhere at the middle of a given set of number in the question. They will later make a guess by increase/decrease the number within the range.
- Check the guessed answer with the actual answer
Make use of relevant information to check the guessed answer. All the conditions in the problem should be fulfilled.
Example
James has some ducks and sheeps on his farm. There are 12 animals and 40 legs in all. How many of each animal does James have?
Solution
- There are 12 animals
- There are 40 legs
Let make a guess
Suppose 6 ducks and 6 sheeps
Check the guessed answer
Conidion 1: (Total 12 animals) - Correct
Condition2: (40 legs)
Sheeps: 6 x 4 = 24
Ducks: 6 x 2 = 12
Total leg: 24 + 12 = 36 (Wrong)
Hence the guess is wrong as it does not satify the condition #2.
Now make another guess
4 ducks and 8 sheeps
Conidion 1: (12 animals) 8 + 4 = 12 - Correct
Condition2: (40 legs)
Sheeps: 8 x 4 = 32
Ducks: 4 x 2 = 8>br>
Total leg: 32 + 8 = 40 (Correct Now!!!!)
So now the guess is correct. This guess and check method is a form of mathematical thinking. If started with
the correct assumptions, it will lead to correct conclusion. The backdraw using this method is that if the
problem is a wide range, it will be very time consuming method to be implemented.
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