Pre-Calculus Unit 3 Alternative Assessment
Unit 3 Project (Poster Making)
Ms. Cheung 2013
1
Due Date: November 22, 2013 Friday
This is an alternative assessment which provides another way for the teacher to assess your mastery on the concepts being
covered in Unit 3.
Unit 3 Polynomials & Rational Functions
California Standards:
Algebra 2 (ALG2)
3.0
Students are adept at operations on polynomials, including long division.
4.0
Students factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two
cubes.
Math Analysis (MA)
4.0
Students know the statement of, and can apply, the fundamental theorem of algebra.
Calculus (Cal) Foundation Only
9.0
Students use differentiation to sketch, by hand, graphs of functions. They can identify maxima, minima, inflection points, and
intervals in which the function is increasing and decreasing.
Requirements:
1. Match the polynomial with its corresponding graph, and glue the pairs on a poster paper.
2. Find any 2 matched pairs from the poster: (polynomial to graph)
 Use sentence starter from the notes to verify how the polynomial matches with the
graph
 Explain degree, end behavior, roots/x-intercepts, multiplicity, crosses/touches x-axis
and y-intercept in complete sentences
3. Find any other 2 matched pairs from the poster: (graph to polynomial)
 Use sentence starter from the notes to verify how the graph matches with the
polynomial
 Explain degree, end behavior, roots/x-intercepts, multiplicity, crosses/touches x-axis,
y-intercept, leading coefficient in complete sentences
4. Create a polynomial with degree 3 or above in factored form with a leading coefficient
not equal to 1
 Describe in details how you sketch the graph from the polynomial function
 Write and explain you steps in words and academic vocabulary
 Sketch the graph according to the created polynomial function
5. Create a polynomial with degree 6 or above in standard form with leading coefficient ¹ 1
 Use calculator to graph the polynomial
 Graph the polynomial using a graph paper
 Describe the following according to the graph: Domain, Range, Interval when
graph is increasing, Interval when graph is decreasing, Local Maximum, Local
Minimum, Absolute Maximum, Absolute Minimum, x-intercept(s), y-intercepts(s)
 Online Graphing Calculator:
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
*****Extra Credits*****
Write brief notes on how to model real world data with a polynomial model and use of
calculator.
Extended readings:
1. Read the packet and write brief notes on specific terms.
http://mazesmath.com/Precalc%20Powerpoint/03%20Polynomial%20Functions/36%20Real
%20World%20&%20Polynomials.pdf
2. Read P.382 Example 4, then use graphing calculator to find the model for Q.47-49 on
P.385
http://www.classzone.com/eservices/home/pdf/student/LA206IBD.pdf
Pre-Calculus Unit 3 Alternative Assessment
4
Ms. Cheung 2013
3
2
2
1
Presentation
Neat and nice presentation.
Use of different colors and
attractive.
Neat and nice presentation
with some decoration.
Using only pen or pencil to
complete the work. Did not
try to decorate the project.
The project is hard
to read. The writing
is not legible.
Matched
Pairs
Provide 12 or more correct
matched pairs. Or, among all
the matched pairs, 80% of the
pairs are correct.
Provide 10 or more correct
matched pairs. Or, among all
the matched pairs, 65% of the
pairs are correct.
Provide 7 or more correct
matched pairs. Or, among
all the matched pairs, 50%
of the pairs are correct.
Verify
Polynomial
with Graph
Provide explanation for 2
matched pairs. Provide 3 or
above sentences on how the
polynomial matches with the
corresponding graph. Use all
the academic vocabulary
includes degree, end
behavior, roots/x-intercepts,
multiplicity, crosses/touches xaxis and y-intercept.
Provide explanation for 2
matched pairs. Provide 2
sentences on how the
polynomial matches with the
corresponding graph. Use
some of the academic
vocabulary includes degree,
end behavior, roots/xintercepts, multiplicity,
crosses/touches x-axis and yintercept.
Provide explanation for 2
matched pairs. Provide 1
sentence on how the
polynomial matches with
the corresponding graph.
Use a few academic
vocabulary includes
degree, end behavior,
roots/x-intercepts,
multiplicity, crosses/touches
x-axis and y-intercept.
Provide less than 7
correct matched
pairs. Or, among all
the matched pairs,
less than 50% of the
pairs are correct.
Did not provide
explanation for 2
matched pairs.
Verify Graph
with
Polynomial
Provide explanation for 2
matched pairs. Provide 3 or
above sentences on how the
polynomial matches with the
corresponding graph. Use all
the academic vocabulary
includes degree, end
behavior, roots/x-intercepts,
multiplicity, crosses/touches xaxis and y-intercept.
Provide explanation for 2
matched pairs. Provide 2
sentences on how the
polynomial matches with the
corresponding graph. Use
some of the academic
vocabulary includes degree,
end behavior, roots/xintercepts, multiplicity,
crosses/touches x-axis and yintercept.
Provide explanation for 2
matched pairs. Provide 1
sentence on how the
polynomial matches with
the corresponding graph.
Use a few academic
vocabulary includes
degree, end behavior,
roots/x-intercepts,
multiplicity, crosses/touches
x-axis and y-intercept.
Did not provide
explanation for 2
matched pairs.
Describe
sketching
Polynomial
Provide a polynomial with
degree 3 or above in
factored form with leading
coefficient not equal to 1.
Show all the work and process
in identifying the key features
from the created polynomial.
Explain all the steps in
academic vocabulary to
sketch the graph. Provide a
correct sketch of the graph
and local all the x-intercepts
and y-intercept.
Provide a polynomial with
degree 6 or above in
standard form with leading
coefficient not equal to 1.
Provide an exact graph of the
polynomial using graph paper
and verify with a calculator.
Provide a print out of the
graph with the use of
calculator. Describe all the
key features of the graph
correct.
Provide a polynomial with
degree 3 or above in factored
form with leading coefficient
not equal to 1. Show some of
the work and process in
identifying the key features
from the created polynomial.
Explain some steps in
academic vocabulary to
sketch the graph. Provide a
correct sketch of the graph
and local all the x-intercepts
and y-intercept.
Provide a polynomial with
degree 6 or above in standard
form with leading coefficient
not equal to 1. Provide an
exact graph of the polynomial
using graph paper and verify
with a calculator. Provide a
print out of the graph with the
use of calculator. Describe
some of the key features of
the graph correct.
Provide a polynomial with
degree 3 or above in
factored form with leading
coefficient not equal to 1.
Show some of the work and
process in identifying the
key features from the
created polynomial. Provide
a correct sketch of the
graph.
Provide a
polynomial with
degree 3 or above,
but did not provide
a sketch of the
graph.
Provide a polynomial with
degree 6 or above in
standard form with leading
coefficient not equal to 1.
Provide a print out of the
graph with the use of
calculator.
Provide a
polynomial with
degree 6 or above,
but did not provide
a graph.
Provide notes on the packet
and with explanation of
meaning on all terminology
covered in the packet.
Provide correct and
complete solutions for Q.4749.
Provide notes on the packet
and with explanation of
meaning on some terminology
covered in the packet.
Provide solutions for Q.47-49.
Provide notes on the packet
and with explanation of
meaning on a few
terminology words covered
in the packet. Provide some
solutions for Q.47-49.
Provide some notes
from the packet, or
show part of the
solutions for Q.47-49.
Graph
Polynomial
using
calculator
Extra Credits
Pre-Calculus Unit 3 Alternative Assessment
Ms. Cheung 2013
3