There is more than one way to skin a cat.
In other words there are many ways in which to solve a problem and
come up with the correct answer.
Example 1:
Jack did 28% of his
work on the computer. What fraction of the work does Jack have left to do?
Valid Solutions
Valid
Step
1: You can change the
percent to a fraction 28/100.
Step 2: Reduce 28/100 to 7/25 by
dividing 28 and 100 each by 4.
Step 3: Subtract 25/25 - 7/25 = 18/25
Step 4: He has 18/25 of the job left to do.
Counter Valid
Step
1: Subtract 100% - 28% = 72%
Step 2: You can change the
percent to a fraction 72/100.
Step 3: Reduce 72/100 to 18/25 by
dividing 72 and 100 each by 4.
Step 4: He has 18/25 of the job left to do.
Counter Valid
Step 1: You can
change the percent to a fraction
28/100.
Step 2: Subtract 100/100 - 28/100 =
72/100.
Step 3: Reduce 72/100 to 18/25 by
dividing 72 and 100 each by 4.
Step 4: He has 18/25 of the job left to do.
Example
2:
Mackenzie is making
Surprise Punch for her birthday, The recipe makes 2 quarts.
If she make 8 times the recipe because she is very popular
and has many friends coming to her party. How many gallons of Surprise
Punch will she have?
Valid
Step
1: You can multiply 2 x 8 = 16 quarts.
Step 2: There are 4 quarts in a gallon,
so 16 ÷ 4 = 4 gallons.
Step 3: Mackenzie has 4 gallons of
Surprise Punch.
Counter Valid
Step
1: You can change
2 quarts to 0.5 gallons.
Step 2: Then multiply 0.5 x 8 =4 gallons.
Step 3: Mackenzie has
4 gallons of Surprise Punch.
Counter Valid
Step 1: You can multiply
2 x 8 = 16 quarts.
Step 2: Quarts are 1/4 of a gallon so, 1/4 of
16 =4 gallons.
Step 3: Mackenzie has
4 gallons of Surprise Punch.
Remember:
Use the method of solving a
problem that you're most comfortable with. Then when the
problem is done ask yourself " Is this what the question is
asking for? Is the problem solved correctly?"