# Math 3803 � Algebra for P-8 Teachers

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```					Math 3803 – Algebra for P-8 Teachers
Algebra in Teaching Assignment #3
Due Date: _____________________

Directions: Create an answer key for the quiz below. After creating your key, use it to
grade the sample student quiz that follows. Each student response will be rated either
exemplary, above average, minimal, needs work, attempted, blank or not attempted.
Explanations of these ratings are provided on the rubric that follows. You are expected to
provide a rationale behind why you chose the rating for each student response. In
addition, possible rationales for student mistakes should be provided for the appropriate
questions.

Function Quiz
Name: ___________________

Directions: Answer each of the questions below carefully. When asked, be sure to
provide thorough explanations that are written in complete sentences.

1. If f ( x)  3x  2 , then find f (5).

2. If f ( x)  5 , then find f (7) . Justify your response.

3. If f ( x)  2 x  6 and g ( x)  4  3x , then find f (g (4)) .

4. What is a function? Provide an example.
Function Quiz
Name: John Doe___

Directions: Answer each of the questions below carefully. When asked, be sure to
provide thorough explanations that are written in complete sentences.

5. If f ( x)  3x  2 , then find f (5).

f (5)  3(5)  2
f (5)  15  2
f (5)  13

6. If f ( x)  5 , then find f (7) . Justify your response.

f (7)  7
This is because there is no x. There is no equation so it has to be 7.

7. If f ( x)  2 x  6 and g ( x)  4  3x , then find f (g (4)) .

f (4)  2(4)  6  8  6  2

g (2)  4  3(2)  4  6  4  6  10

8. What is a function? Provide an example.

A functionis a relation in which every output has exactly one input.
Example : 1,2, 3,4, 5,6, 7,8
Scoring Rubric

Explanation of Categories:
Exemplary – all work is shown and correct. Answers requiring an explanation are clear,
concise, and correct.
Above average – all work is shown and the student is headed in the right direction, but
some steps are incorrect. Explanation is not always clear and concise.
Minimal – all work is shown but method chosen to solve the problem is not appropriate,
or some work is missing. An explanation has some elements of understanding but result
is unclear.
Needs work – no work is shown, but answer is correct. The explanation has one point of
understanding but the result is incorrect.
Attempted – the problem has been tried, but contains few elements of understanding.
Blank or Not Attempted – the problem has not even been attempted or the problem has
been tried, but contains no elements of understanding.

Problem     Exemplary      Above        Minimal (1       Needs        Attempted     Blank or
Number        (2 pts)     Average          pt)          Work (.5       (.25 pts)      Not
(1.5 pts)                       pt)                      Attempted
(0 pts)
1
2
3
4
Evaluation of Student Responses
(including rationales for rating and student mistakes)
1
2
3
4

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