Traditional Math100
Fall 2016
Exam 1 Rubric
Problem 1, 2,3: Please go to office hours of CJ Richardson to ask how this problem was graded.
His email is: crichardson@ksu.edu
Problem 4
Each part a, b, c, and d were allotted two points each
- one for plugging in the correct value into g(x)
- one for the correct answer
Problem 5
- two points for distributing
- two points for isolating the x
- two points for the correct answer
Any mistakes in arthmetic that continued to a true answer got minus one point.
Problem 6.
Correct answer via correct definition got full points.
If answer is incorrect but the definition stated is correct, 1 point will be given.
Explaining that graph of an even function possesses symmetry across the y-axis also earned credit depending on
clarity of exposition.
Partial credit awarded on a case by case basis depending on clarity of work and explanations that were given.
Note: If the correct answer was obtained from the wrong understanding, no credit was given.
Question 7
 2 pts: correctly compute f(x+h)
 2 pts: correctly compute f(x+h)-f(x)
 2 pts: correctly compute difference quotient
Question 8
a) 4 pts:
 2 pts for P(x)=R(x)-C(x) (correct formula for profit function)
 2 pts for correct arithmetic
b) 4 pts: all or nothing for correct average cost function
Question 9
 2 pts: identifying two points in the form (time, weight) (graph ok)
 2 pts: correct slope
 2 pts: correct linear model in point-slope or slope-intercept form
 Graph with correct linear model is good for full points
Problem 10
2 points for either evaluating directly or solving for an expression in terms of x. 0 points if multiplied by -2 instead
of replacing x with -2. 0 points if attempted to solve but did not actually succeed. 0 points for the whole problem if
the wrong value of x is used (for example, 2 instead of -2).
If evaluated directly,
2 points for writing out as f(-2)g(-2)=etc with no mistakes, 1 if evaluated properly (replace x with -2) but a mistake
is made, such as dropped negative signs or other stuff (like -2-5=10)).
If solved for an expression in terms of x,
1 point for factoring properly (obtained (fg)(x)=3x^3-15x^2 or left it as (fg)(x)=(3x^2)(x-5)).
1 point for evaluating properly
2 points for the correct answer with work shown, 1 if correct answer but no work is shown
Problem 11:
0 points for the whole problem if no line was drawn or if only a single point was drawn (even if it’s the chosen
point). 0 points for the whole problem if a something that isn’t a straight line is drawn. (such as parabola, arbitrary
shape, etc.)
2 point if the slope is drawn correctly (“decreasing” line with obvious negative slope, rise/run roughly equal to 2/3), 1 if drawn incorrectly but shown in equation form correctly with correct y-int (
y=-2/3x+7/3 or y-5=-2/3(x+4))
2 point if the line passes through the required point, 1 if does not pass through point but is implied to (that is, line
was not drawn long enough)
1 point for correct x AND y intercepts (roughly between 3,4 for x int, between 2, 3 for y int. there’s room for error
since the line won’t be perfectly straight.)
1 point for having at least four points plotted on the (CORRECT) straight line. Four randomly plotted lines do not
yield any points.
Problem 12)
If they wrote yes, then 0 points
No then 1 point
Single input yields 2 outputs or similar then 2 points
Showing why, solving for y with a +/- root, an example, or graph, or stating it was a circle then 3 points
Problem 13
All wrong but correct formula then 2 points
Wrong formula -1 point
1/2 point for each number correctly plugged into the formula
correct x answer 2 points, correct y answer 2 points
Sign error -1 point
Adding the x and y values together to get a single numerical answer as an extra incorrect step -1 point
Problem 14
full points for correct shading of the region. No partial credit for partial shading region.
Problem 15
three points for finding slopes and 3 points writing the equation of line. Full credit for writing the equation of line
exactly.
Problem 16
two points for each correct choice.