math good documentation i expect “good documentation” all the time. however, many of these...
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MATHGood Documentation
I expect “Good Documentation” all the time. However, many of these “easy” problems are missed because all the math is done in one’s
head, or punched into the calculator.
Therefore, anything you would punch into the calculator, or you’re tempted to do in your head,
you must write it down!
What is the difference between
(Note: A bar indicates a digit pattern that is repeated.)
1.08 1.8and
1 . 8 0
1 . 0 8 0 8
0 0
0 . 7 1 9 2
-
Remember what it means to “properly document”. Anything you would type into the calculator, write it down first.
What is the value of x when 2x + 3 = 3x – 4 ?
2 3 3 4x x 2x 2x
3 1 4x
447 x
Always – always – rewrite the equation on these problems.
Finally, you’ve got an answer. Make sure you’ve answered the right
question!
Abandoned mines frequently fill with water. Before an abandoned mine can be
reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out
a mine that is D feet deep requires a pump that pumps a minimum of
gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how
many gallons per minute?
2
4 25025
Dgal D
2
1504 150 250
25
22500600 250
25
900 6000 250
1250
Always – always – rewrite the equation on these problems.
2
4 25025
Dgal D
Remember what it means to “properly document”. Anything you would type into the calculator, write it down first.
I got 1250 gallons. What’s the question? “How many gallons”.
Perfect!
The volume, V, of the right circular cone with radius r and height h can be found
using the formula
A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5
centimeters. What is the radius, to the nearest centimeter, of the paper cup?
21
3V r h
23V r h
23Vr
h
3Vr
h
3 142
8.5r
4 r
21
3V r h
Always – always – rewrite the equation on these problems.
The problem: find the radius r. I need to solve the formula for r:
Now that I have r, add in what else I know about V and h.
Make sure you’ve answered the question asked. Yes, here.
What is the difference between
(Note: A bar indicates a digit pattern that is repeated.)
1.08 1.8and
1 . 8 0
1 . 0 8 0 8
0 0
0 . 7 1 9 2
-
Remember what it means to “properly document”. Anything you would type into the calculator, write it down first.
20 2 4 20
if a = 3, b = -3, and c = 4, then 3a2b2 - 5ac2-b =
23 3 3r r
2 212 7 8 7x x x x