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Transcript
Precalculus Honors
Chapter 2 – Polynomial and Rational Functions
DATE
SCORE
LESSON/ASSESSMENT
HOMEWORK
2.1 Quadratic Functions
F,
9/9
Objectives
Essential question:
1.
How do you sketch graphs and write equations
of parabolas?
2.
---------
--------3.
M,
9/12
Analyze graphs of quadratic
functions.
Write quadratic functions in
standard form and use the results
to sketch graphs of functions.
Find minimum and maximum
values of quadratic functions in
real-life applications.
Page 96: 58, 11, 12,
23, 28, 31
------------------Pages 9699: 1-4, 37,
40, 65, 73,
74, 88
Standards:
PC.FIF.4, PC.AAPR.3, PC.ASE.2
2.2 Polynomial Functions of Higher Degree
Tu,
9/13
--------W,
9/14
Objectives
Essential Question
1.
How do you sketch the graphs of polynomial
functions?
2.
---------
3.
4.
Use transformations to sketch
graphs of polynomial functions.
Use the Leading Coefficient Test
to determine the end behavior of
graphs of polynomial functions.
Find and use zeros of polynomial
functions as sketching aids.
Use the Intermediate Value
Theorem to help locate zeros of
polynomial functions.
Standards:
Pages 109110: 9-17,
29, 31, 37,
55, 61, 67
------------------Pages 109112: 1-8,
87, 89, 95,
102, 111,
114-118,
120
PC.AAPR.3, PC.FBF.3, PC.FIF.4
2.3 Real Zeros of Polynomial Functions
Objectives
Essential Question
1.
How do you divide a polynomial by another
polynomial and use polynomial division to find
the rational and real zeros of polynomials?
2.
Th,
9/15
3.
---------
--------- 4.
M,
9/19
5.
Use long division to divide
polynomials by other
polynomials.
Use synthetic division to divide
polynomials by binomials of the
form (x - k).
Use the Remainder and Factor
Theorems.
Use the Rational Zero Test to
determine possible rational zeros
of polynomial functions.
Use Descartes’ Rule of Signs and
the Upper and Lower Bound
Rules to find zeros of
polynomials.
Pages 124125: 9, 15,
18, 23, 28,
43, 47, 53
------------------Pages 124127: 1-8,
57, 60, 61,
87, 94, 112,
114
Standards:
PC.AAPR.2, PC.AAPR.6
Tu,
9/20
Review for Quiz
Study for
Quiz
W,
9/21
Quiz: 2.1 to 2.3
None
2.4 Complex Numbers
Essential Question
Objectives
1.
2.
Th,
9/22
3.
4.
Use the imaginary unit i to write
complex numbers.
Add, subtract, and multiply
complex numbers.
Use complex conjugates to write
the quotient of two complex
numbers in standard form.
Find complex solutions of
quadratic equations.
How do you perform operations with complex
numbers?
Pages 133134: 1-6,
15, 25, 33,
43, 55, 59,
63, 66, 73,
95-100, 102
Standards:
PC.NCNS.2, PC.NCNS.3
2.5 The Fundamental Theorem of Algebra
F,
9/23
Objectives
Essential Question
1.
How do you find all the zeros of a polynomial
function?
2.
3.
4.
Use the Fundamental Theorem
of Algebra to determine the
number of zeros of a polynomial
function.
Find all zeros of polynomial
functions, including complex
zeros.
Find conjugate pairs of complex
zeros.
Find zeros of polynomials by
factoring.
Pages 140141: 1-4,
11, 17, 35,
42, 47, 51,
61, 71, 73,
74, 76
Standards:
PC.NCNS.9, PC.NCNS.7, PC.AAPR.3
2.6 Rational Functions and Asymptotes
M,
9/26
Objectives
Essential Question
1.
How do you find the domain and asymptotes of
a rational function?
2.
3.
Find the domain of rational
functions.
Find vertical and horizontal
asymptotes of graphs of rational
functions.
Use rational functions to model
and solve real-life problems.
Pages 147150: 1-4,
11-16, 18,
19, 23, 25,
45, 50, 51
54, 56
Standards:
PC.FIF.4, PC.FIF.5, PC.FIF.7a
2.7 Graphs of Rational Functions
Tu,
9/27
Objectives
Essential Question
1.
How do you sketch the graph of a rational
function?
2.
--------W,
9/28
--------3.
Analyze and sketch graphs of
rational functions.
Sketch graphs of rational
functions that have slant
asymptotes.
Use graphs of rational functions
to model and solve real-life
problems.
Page 157:
5, 17, 21,
24, 29, 32
------------------Page 157160: 1-4,
51, 61, 69,
72, 85, 93,
94, 98
Standards:
PC.FIF.4, PC.FIF.5, PC.FIF.7
Th,
9/29
F,
9/30
M,
10/3
Chapter 2 Practice Test
Study for
Test
Chapter 2 Review and Bonus
Oops!
Chapter 2 Test (2.1-2.7)
None