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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 1 Copyright © July 1, 2012
The mathematical processes provide the framework for teaching, learning, and assessing in all high school mathematics core courses. Instructional programs should be built around these processes.
Standard PC-6: The student will demonstrate through the mathematical processes an understanding of the behavior of conic sections both geometrically and algebraically.
Indicators:
PC-1.1 Communicate knowledge of algebraic and trigonometric relationships by using mathematical terminology appropriately.
PC-1.2 Connect algebra and trigonometry with other branches of mathematics.
PC-1.3 Apply algebraic methods to solve problems in real-world contexts.
PC-1.4 Judge the reasonableness of mathematical solutions.
PC-1.5 Demonstrate an understanding of algebraic and trigonometric relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).
PC-1.6 Understand how algebraic and trigonometric relationships can be represented in concrete models, pictorial models, and diagrams.
PC-1.7 Understand how to represent algebraic and trigonometric relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 2 Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 3 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
– I
ntr
od
ucti
on
to
Tri
go
no
me
try
11
da
ys
1 Draw and recognize positive and negative angles in standard position using radian measure and give the quadrant of the terminal side.
SC PC-5.1
CCSS F-TF.3
F-TF.4
Understand how angles are measured in either degrees or radians. (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for /3, /4, and
/6, and use the unit circle to express the values of
sine, cosine, and tangent for – x, + x, and
2 – x in terms of their values for x, where x is any real number. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
2 Convert radian measure to degree measure and vice versa.
SC PC-5.1
SC
PC-5.2
CCSS F-TF.3
F-TF.4
Understand how angles are measured in either degrees or radians. Carry out a procedure to convert between degree and radian measures. (+) Use special triangles to determine geometrically
the values of sine, cosine, tangent for /3, /4, and
/6, and use the unit circle to express the values of
sine, cosine, and tangent for – x, + x, and
2 – x in terms of their values for x, where x is any real number. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 4 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
– I
ntr
od
ucti
on
to
Tri
go
no
me
try
11
da
ys
3 Find the length of an arc and the area of a sector of a circle
SC PC-5.1
CCSS F-TF.3
F-TF.4
Understand how angles are measured in either degrees or radians. (+) Use special triangles to determine geometrically
the values of sine, cosine, tangent for /3, /4, and
/6, and use the unit circle to express the values of
sine, cosine, and tangent for – x, + x, and
2 – x in terms of their values for x, where x is any
real number. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
4 - 7 Identify the angles, in degrees & radians, on the unit circle and find the exact values of all 6 trigonometric functions for each angle.
SC PC-5.6
CCSS F-TF.3
F-TF.4
Apply a procedure to evaluate trigonometric expressions. (+) Use special triangles to determine geometrically
the values of sine, cosine, tangent for /3, /4, and
/6, and use the unit circle to express the values of
sine, cosine, and tangent for – x, + x, and
2 – x in terms of their values for x, where x is any real number. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
8 Use reference angles to determine the terminal point P(x,y) on the unit circle for a given angle.
9 Use a calculator to find trigonometric values of any angle
10 Unit Review
11 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 5 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 2
– A
pp
lica
tio
ns o
f T
rig
on
om
etr
ic F
un
cti
on
s o
n R
igh
t T
ria
ng
les
7 d
ays
12-13 Solve right and isosceles triangles using trigonometric ratios.
PC-5.8 Analyze given information to write a trigonometric equation that models a given problem situation involving right triangles.
14-15 Solve word problems using the angles of elevation and depression.
PC-5.8 Analyze given information to write a trigonometric equation that models a given problem situation involving right triangles.
16-17 Find the trigonometric function values of angles whose terminal side passes through a certain coordinate.
PC-5.6 Apply a procedure to evaluate trigonometric expressions.
17-18 Given a trigonometric value, find the quadrant and values of the other five trigonometric functions.
PC-5.6 Apply a procedure to evaluate trigonometric expressions.
Unit Review
Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 6 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 3
– A
pp
lica
tio
ns o
f T
rig
on
om
etr
ic F
un
cti
on
s o
n O
bli
qu
e
Tri
an
gle
s
11
da
ys
19-21 Use the Law of Sines to solve oblique triangles. Include the ambiguous case.
PC-5.12 Apply the laws of sines and cosines to solve problems.
22 Use the Law of Sines to solve word problems.
PC-5.7 Analyze given information to write a trigonometric function that models a given problem situation involving periodic phenomena.
PC-5.12 Apply the laws of sines and cosines to solve problems.
23-24 Use the Law of Cosines to solve general oblique triangles.
PC-5.12 Apply the laws of sines and cosines to solve problems.
25 Use the Law of Cosines to solve word problems
PC-5.7 Analyze given information to write a trigonometric function that models a given problem situation involving periodic phenomena.
PC-5.12 Apply the laws of sines and cosines to solve problems.
26-27 Find the area of triangles given various data sets. PC-5.9 Carry out a procedure to calculate the area of a triangle when given the lengths of two sides and the measure of the included angle.
28 Unit Review
29 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 7 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 4
– G
rap
h T
rig
on
om
etr
ic F
un
cti
on
s
16
da
ys
30 Sketch the graphs of the sine and cosine functions and state their domain and range.
SC PC-5.4
CCSS F-TF.6
F-TF.7
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions. (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
SC PC-5.5
CCSS F-TF.6
F-TF.7
Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.) (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 8 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 4
– G
rap
h T
rig
on
om
etr
ic F
un
cti
on
s
16
da
ys
31 Find the amplitude, period, and phase shifts of sine and cosine graphs to sketch the graph.
SC PC-2.1
CCSS F-TF.6
F-TF.7
Carry out a procedure to graph parent functions (including y = sin x, y = cos x). (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
SC PC-5.4
CCSS F-TF.6
F-TF.7
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions. (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 9 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 4
– G
rap
h T
rig
on
om
etr
ic F
un
cti
on
s
16
da
ys
32 Write equations of sine and cosine functions when given the graph.
SC PC-5.4
CCSS F-TF.6
F-TF.7
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions. (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
SC PC-5.5
CCSS F-TF.6
F-TF.7
Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.) (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 10 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 4
– G
rap
h T
rig
on
om
etr
ic F
un
cti
on
s
16
da
ys
33 Sketch the graph of secant and cosecant functions and state their domain and range.
SC PC-2.1
PC-5.4
PC-5.5
CCSS F-TF.6
F-TF.7
Carry out a procedure to graph parent functions (including y = sin x, y = cos x). Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions. Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.) (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
34 Sketch the graph of tangent and cotangent functions and state their domain and range.
35
Graph the inverse trigonometric functions and state their domain and range. Write the restricted ranges for all inverse trigonometric functions.
PC-5.13 Apply a procedure to graph the inverse functions of sine, cosine, and tangent.
36 Evaluate expressions using inverse trigonometric functions.
PC-5.6 Apply a procedure to evaluate trigonometric expressions.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 11 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 4
– G
rap
h T
rig
on
om
etr
ic F
un
cti
on
s
16
da
ys
37 Solve problems using the inverse trigonometric functions. (ex: Arcsin(cos(5/13))
PC-5.6 Apply a procedure to evaluate trigonometric expressions.
38 Unit Review
39 Unit Test
40-44 Exam Review
45 1st Nine Weeks Exam
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
First Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 12 Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 13 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 5
– T
rig
on
om
etr
ic I
de
nti
tie
s
13
da
ys
46-48 Prove identities involving reciprocal and Pythagorean identities.
SC PC-5.14
CCSS F-TF.9
Apply trigonometric relationships (including reciprocal identities; Pythagorean identities; even and odd identities; addition and subtraction formulas of sine, cosine, and tangent; and double angle formulas) to verify other trigonometric identities. (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems
49-51 Proving more difficult trigonometric identities.
52-53 Solve problems and prove identities involving addition formulas
54-56 Solve problems and prove identities involving double and half-angle formulas.
57 Unit Review
58 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 14 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 6
– S
olv
ing
Tri
g E
qu
ati
on
s
11
da
ys
59-60 Solving basic trigonometric equations.
PC-5.10 Carry out a procedure to solve trigonometric equations algebraically.
PC-5.11 Carry out a procedure to solve trigonometric equations graphically.
61-63 Solve trigonometric equations that involve the use of identities.
PC-5.10 Carry out a procedure to solve trigonometric equations algebraically.
PC-5.11 Carry out a procedure to solve trigonometric equations graphically.
PC-5.14
Apply trigonometric relationships (including reciprocal identities; Pythagorean identities; even and odd identities; addition and subtraction formulas of sine, cosine, and tangent; and double angle formulas) to verify other trigonometric identities.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 15 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 6
– S
olv
ing
Tri
g E
qu
ati
on
s
11
da
ys
64-66 Solve trigonometric equations that involve the use of the quadratic equation.
PC-5.10 Carry out a procedure to solve trigonometric equations algebraically.
PC-5.11 Carry out a procedure to solve trigonometric equations graphically.
67 Solve trigonometric equations graphically with the graphing calculator.
PC-5.10 Carry out a procedure to solve trigonometric equations algebraically.
PC-5.11 Carry out a procedure to solve trigonometric equations graphically
68 Unit Review
69 Unit Test
70 Exam Review
71 Second Nine Weeks Exam
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 16 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 7
– V
ecto
rs a
nd
Pa
ram
etr
ics
9 d
ays
72 Graph parametric equations over a specified interval for the parameter.
73-74 Write “x-y” equation for the set of parametric equations by removing the parameter.
75-76 Determine the magnitude and direction of vectors.
CCSS N-VM.1
N-VM.2
N-VM.3
(+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitude (e.g., v, |v|, ||v||, v).
(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. (+) Solve problems involving velocity and other quantities that can be represented by vectors.
77-78 Write vectors in both component form and as the linear combination of the standard unit vector.
79-80 Find the slope of the line given the angle of inclination.
SC PC-5.15
Carry out a procedure to compute the slope of a line when given the angle of inclination of the line.
81 Unit Review
82 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 17 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 8
– P
ola
r C
oo
rdin
ate
s
10
da
ys
83 Plot points in the polar coordinate system.
PC-5.3 Carry out a procedure to plot points in the polar coordinate system.
84-85 Use the polar coordinate system to draw the graphs of polar equations.
86-87 Change polar coordinates to rectangular coordinates and vice-versa.
88-89 Write polar equations as rectangular equations and vice-versa.
Unit Review
90 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Second Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 18 Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 19 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 9
– C
on
ic S
ecti
on
s
10
da
ys
91 Write the general and standard forms of the equations of circles and graph it.
SC PC-6.1
PC-6.2
CCSS G-GPE.3
Carry out a procedure to graph the circle whose equation is of the form (x-h)2 + (y-k)2 = r2. Analyze given information about the center and the radius or the center and the diameter to write an equation of a circle. (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
92-93 Write the general and standard forms of the equations of ellipses and graph it.
SC PC-6.4
CCSS G-GPE.3
Carry out a procedure to graph the ellipse whose
equation is of the form
2 2
2 21
x h y k
a b
.
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
94-95 Write the general and standard forms of the equations of hyperbolas and graph it.
SC PC-6.5
CCSS G-GPE.3
Carry out a procedure to graph the hyperbola whose
equation is of the form
2 2
2 21
x h y k
a b
.
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 20 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 9
– C
on
ic S
ecti
on
s
10
da
ys
96 Write the general and standard forms of the equations of parabolas and graph it.
SC
PC-6.6
CCSS G-GPE.3
Carry out a procedure to graph the parabola whose
equation is of the form 2
y k a x h .
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
97 Recognize the graphs & equations of all conic sections
SC
PC-6.1
PC-6.4
PC-6.5
PC-6.6
CCSS G-GPE.3
Carry out a procedure to graph the circle whose equation is of the form (x-h)2 + (y-k)2 = r2.
Carry out a procedure to graph the ellipse whose
equation is of the form
2 2
2 21
x h y k
a b
.
Carry out a procedure to graph the hyperbola whose
equation is of the form
2 2
2 21
x h y k
a b
.
Carry out a procedure to graph the parabola whose
equation is of the form 2
y k a x h .
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 21 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 9
– C
on
ic S
ecti
on
s
10
da
ys
98 Find points of intersection between quadratics, lines, and conics.
SC PC-6.3
CCSS
A-REI.8
A-REI.9
Apply a procedure to calculate the coordinates of points where a line intersects a circle. (+) Represent a system of linear equations as a single matrix equation in a vector variable. (+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 x 3 or greater).
99 Unit Review
100 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 22 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
0 –
Lin
ea
r a
nd
Qu
ad
rati
c F
un
cti
on
s
10
da
ys
101 Write equations of and graph linear functions, including parallel, perpendicular, horizontal and vertical lines.
102-103 Graph quadratic functions given various forms and write a quadratic function given a graph
PC-3.1 Carry out a procedure to graph quadratic and higher-order polynomial functions by analyzing intercepts and end behavior.
104 Factoring Quadratics
105 Solve Quadratics by Factoring
106 Computing and simplifying imaginary numbers.
107 Solve quadratic equations (including imaginary roots) by quadratic formula
PC-3.6 Carry out a procedure to solve polynomial equations algebraically.
PC-3.7 Carry out a procedure to solve polynomial equations graphically.
108 Solve quadratic word problems PC-3.5 Analyze given information to write a polynomial function that models a given problem situation.
109 Unit Review
110 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 23 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
1 –
Po
lyn
om
ial
Fu
ncti
on
s
12
da
ys
111-113 Recognize higher order polynomial functions, sketch parent graphs to show patterns of graphs of other polynomials and their end behavior.
PC-2.1 Carry out a procedure to graph parent functions (including y = xn).
PC-3.1 Carry out a procedure to graph quadratic and higher-order polynomial functions by analyzing intercepts and end behavior.
114 Dividing Polynomials
115-118
Use synthetic division/substitution to find the zeros of a polynomial. Use these and patterns to sketch the polynomial. To write a polynomial function given linear factors or a graph. (Rational Root Theorem)
PC-3.2 Apply the rational root theorem to determine a set of possible rational roots of a polynomial equation.
PC-3.3 Carry out a procedure to calculate the zeros of polynomial functions when given a set of possible zeros.
PC-3.6 Carry out a procedure to solve polynomial equations algebraically.
PC-3.7 Carry out a procedure to solve polynomial equations algebraically.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 24 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
1 –
Po
lyn
om
ial
Fu
ncti
on
s
12
da
ys
119-120 Solve polynomial inequalities
PC-3.10 Carry out a procedure to solve polynomial inequalities algebraically.
PC-3.11 Carry out a procedure to solve polynomial inequalities graphically.
121 Unit Review
122 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 25 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
2 -
Ex
po
ne
nts
13
da
ys
123 Laws of exponents
124 Simplifying rational exponents
PC-4.5 Apply the laws of exponents to solve problems involving rational exponents. 125-126
Advanced simplifying – include factoring with rational exponents
127 Solve exponential equations with like bases
PC-4.8 Carry out a procedure to solve exponential equations algebraically.
PC-4.9 Carry out a procedure to sole exponential equations graphically.
128 Graphs of exponential equations – determine the domain & range.
PC-2.1 Carry out a procedure to graph parent functions (including y=ax and y=ex).
PC-2.5
Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions (including y=ax and y=ex).
PC-4.3 Carry out procedures to determine characteristics of exponential functions (including domain, range, intercepts, and asymptotes).
129 Unit Review
130 Unit Test
131-134 Exam Review
135 3rd Nine Weeks Exam
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Third Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 26 Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 27 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
3 –
Lo
ga
rith
mic
Fu
ncti
on
s
12
da
ys
136 Find the inverse of a function, sketch and give its domain and range.
PC-2.1 Carry out a procedure to graph parent functions
(including logay x , lny x ).
PC-2.5
Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions (including
logay x , lny x ).
PC-2.8 Carry out a procedure to determine whether the inverse of a function exists.
137 Introduce logarithmic function as the inverse of the exponential function.
PC-2.1
PC-2.5
PC-2.8
PC-4.4
CCSS F-IF.7d
Carry out a procedure to graph parent functions (including y=ax and y=ex). Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions (including y=ax and y=ex). Carry out a procedure to determine whether the inverse of a function exists. Carry out procedures to determine characteristics of exponential functions (including domain, range, intercepts, and asymptotes). (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 28 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
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138 Write logarithmic expressions as exponential and vice versa
PC-2.8 Carry out a procedure to determine whether the inverse of a function exists.
PC-4.5 Apply the laws of exponents to solve problems involving rational exponents.
139-140 Use the laws of logarithms to simplify or expand logarithmic expressions.
PC-4.5 Apply the laws of exponents to solve problems involving rational exponents.
PC-4.7 Apply the laws of logarithms to solve problems.
141-143 Solve logarithmic and exponential equations with and without calculators including natural logs.
PC-4.8 Carry out a procedure to solve exponential equations algebraically.
PC-4.9 Carry out a procedure to sole exponential equations graphically.
PC-4.10 Carry out a procedure to solve logarithmic equations algebraically.
PC-4.11 Carry out a procedure to solve logarithmic equations graphically.
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 29 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
it 1
3 –
Lo
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rith
mic
Fu
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on
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12
da
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144-145 Solve exponential growth/decay problems and compound interest problems.
PC-4.6 Analyze given information to write an exponential function that models a given problem situation.
PC-4.8 Carry out a procedure to solve exponential equations algebraically.
PC-4.10 Carry out a procedure to solve logarithmic equations algebraically.
146 Unit Review
147 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 30 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
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4 –
Ra
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15
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148
Identify and sketch graphs of transformations of absolute value and square root functions from the parent graphs and determine the domain and range of each function.
PC-2.1 Carry out a procedure to graph parent functions.
PC-2.5 Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions.
149
Identify and sketch parent graphs of transformations of the greatest integer function and determine the domain and range of the function.
PC-2.1 Carry out a procedure to graph parent functions.
PC-2.5 Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions.
150
Identify and sketch parent graphs of transformations of piecewise functions and determine the domain and range of each function.
PC-2.1 Carry out a procedure to graph parent functions.
PC-2.5 Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions.
151 Evaluate limits as x approaches infinity, describing the end behavior.
PC-3.4 Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 31 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
152 Evaluate limits as x approaches a, describing local behavior.
PC-3.4 Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
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153-155 Sketch the graph of rational functions using limits.
PC-3.4 Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
155-157 Solve rational equations.
PC-3.8 Carry out a procedure to solve rational equations algebraically.
PC-3.9 Carry out a procedure to solve rational equations graphically.
158-160 Evaluate limits, use properties of limits ATP
161 Unit Review
162 Unit Test
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
Fourth Nine Weeks
*AB Schedule needs to cover 2 daily (45 min) sections.
Anderson School District Five Page 32 Copyright © July 1, 2012
Duration Day Objective: The student will be able to… Course
Indicator Standard
Un
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5 –
Se
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Se
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18
da
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163 Introduction to sequences and series – looking at patterns inductively
164 Work with factorials and sigma notation.
165 Find the general term of an arithmetic sequence.
166-167 Find the partial sum of an arithmetic series. Include sigma notation.
168 Find the general term of a geometric Sequence.
169-170 Find the partial sum of a geometric series. Include sigma notation.
171 Find the sum of an infinite series
172 Use the Binomial Theorem or Pascal’s triangle to expand a binomial to a power and find specific terms of an expansion.
173 Unit Review
174 Unit Test
175-179 End of Course Review
180 4th Nine Weeks Exam