The
Guess and Check
strategy requires students to guess a solution, test its
correctness, and refine the guess using logical reasoning.
If you don't know how
to solve a problem, make an educated guess at the answer. Check your
guess. If you're wrong, use what you've learned in checking your
guess to make a better guess. Continue to guess, check, and modify
until you find the answer.
Example
Read 
Students
in Mrs. Carroll's sixthgrade class ordered school shorts.
The denim shorts cost $15 and the flannel shorts cost$9. If
Mrs. Carroll's students ordered 28 shorts and spend a total
of $300, how many denim shorts did they order? 
Plan 
One way to solve the
problem is to make a guess, test it, and revise your guess
until you find the correct answer. 
Solve 
Guess: 10 for $15, and 18 for $9
Test: 10 x $15 = $150 and 18 x
$9 = $162
$150 + $162 = $312
Revise:
Too high. Try
fewer $15
shorts.
Guess: 9 for $15, and 19 for $9
Test: 9 x $15 = $135 and 19 x
$9 = $171
$135 + $171 = 406
Revise:
Too high. Try
fewer $15
shorts.
Guess: 8 for $15, and 20 for $9
Test: 8 x $15 = $120 and 20 x
$9 = $180
$120 + $180 = $300
The
students ordered 8 denim shorts. 

