PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013
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).
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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Copyright © July 1, 2012
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 Duration
Day
Objective: The student will be able to…
Course Indicator SC PC-5.1 CCSS F-TF.3
Unit 1 – Introduction to Trigonometry 11 days
1
2
Draw and recognize positive and negative angles in standard position using radian measure and give the quadrant of the terminal side.
Convert radian measure to degree measure and vice versa.
Standard 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.
F-TF.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
SC PC-5.1
Understand how angles are measured in either degrees or radians.
SC PC-5.2
Carry out a procedure to convert between degree and radian measures.
CCSS F-TF.3
(+) 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.
F-TF.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 1 – Introduction to Trigonometry 11 days
Duration
Day
3
4-7
Objective: The student will be able to…
Course Indicator SC PC-5.1
Understand how angles are measured in either degrees or radians.
CCSS F-TF.3
(+) 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.
F-TF.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. Apply a procedure to evaluate trigonometric expressions.
Find the length of an arc and the area of a sector of a circle
Identify the angles, in degrees & radians, on the unit circle and find the exact values of all 6 trigonometric functions for each angle.
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
Standard
SC PC-5.6 CCSS F-TF.3
(+) 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.
F-TF.4
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 2 – Applications of Trigonometric Functions on Right Triangles 7 days
Duration
Day
Objective: The student will be able to…
Course Indicator
Standard
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
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 3 – Applications of Trigonometric Functions on Oblique Triangles 11 days
Duration
Day
Objective: The student will be able to…
19-21
Use the Law of Sines to solve oblique triangles. Include the ambiguous case.
22
23-24
25
26-27
Course Indicator PC-5.12
Apply the laws of sines and cosines to solve 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.
PC-5.12
Apply the laws of sines and cosines to solve 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.
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.
Use the Law of Sines to solve word problems.
Use the Law of Cosines to solve general oblique triangles.
Use the Law of Cosines to solve word problems
Find the area of triangles given various data sets.
28
Unit Review
29
Unit Test
Standard
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 4 – Graph Trigonometric Functions 16 days
Duration
Day
30
Objective: The student will be able to…
Sketch the graphs of the sine and cosine functions and state their domain and range.
Course Indicator
Standard
SC PC-5.4
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions.
CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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. Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.)
SC PC-5.5 CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 4 – Graph Trigonometric Functions 16 days
Duration
Day
31
Objective: The student will be able to…
Find the amplitude, period, and phase shifts of sine and cosine graphs to sketch the graph.
Course Indicator
Standard
SC PC-2.1
Carry out a procedure to graph parent functions (including y = sin x, y = cos x).
CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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. Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions.
SC PC-5.4 CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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.
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 4 – Graph Trigonometric Functions 16 days
Duration
Day
32
Objective: The student will be able to…
Write equations of sine and cosine functions when given the graph.
Course Indicator
Standard
SC PC-5.4
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions.
CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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. Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.)
SC PC-5.5 CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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.
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks Duration
Day
Unit 4 – Graph Trigonometric Functions 16 days
33
34
Objective: The student will be able to…
Sketch the graph of secant and cosecant functions and state their domain and range.
Sketch the graph of tangent and cotangent functions and state their domain and range.
Course Indicator
Standard
SC PC-2.1
Carry out a procedure to graph parent functions (including y = sin x, y = cos x).
PC-5.4
Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions.
PC-5.5
Carry out procedures to determine the characteristics of trigonometric functions (including domain, range, intercepts, and asymptotes.)
CCSS F-TF.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows it inverse to be constructed
F-TF.7
(+) 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.
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.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
Unit 4 – Graph Trigonometric Functions 16 days
Duration
Day
Objective: The student will be able to…
37
Solve problems using the inverse trigonometric functions. (ex: Arcsin(cos(5/13))
38
Unit Review
39
Unit Test
40-44
45
Course Indicator
PC-5.6
Standard
Apply a procedure to evaluate trigonometric expressions.
Exam Review 1st Nine Weeks Exam
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 First Nine Weeks
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Unit 5 – Trigonometric Identities 13 days
Duration
Day
Objective: The student will be able to…
SC PC-5.14
46-48
Prove identities involving reciprocal and Pythagorean identities.
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
Course Indicator
CCSS F-TF.9
Standard 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
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Duration
Day
Unit 6 – Solving Trig Equations 11 days
59-60
61-63
Objective: The student will be able to…
Course Indicator
Standard
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-5.10
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.
Solving basic trigonometric equations.
Solve trigonometric equations that involve the use of identities.
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks Duration
Day
Unit 6 – Solving Trig Equations 11 days
64-66
67
Objective: The student will be able to…
Course Indicator
Standard
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-5.10
Carry out a procedure to solve trigonometric equations algebraically.
PC-5.11
Carry out a procedure to solve trigonometric equations graphically
Solve trigonometric equations that involve the use of the quadratic equation.
Solve trigonometric equations graphically with the graphing calculator.
68
Unit Review
69
Unit Test
70
Exam Review
71
Second Nine Weeks Exam
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Unit 7 – Vectors and Parametrics 9 days
Duration
Day
Objective: The student will be able to…
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.
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.
81
Unit Review
82
Unit Test
Course Indicator
Standard
CCSS N-VM.1
(+) 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).
N-VM.2
(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
N-VM.3
(+) Solve problems involving velocity and other quantities that can be represented by vectors.
SC PC-5.15
Carry out a procedure to compute the slope of a line when given the angle of inclination of the line.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
Duration
Day
Unit 8 – Polar Coordinates 10 days
83
84-85
Objective: The student will be able to…
Course Indicator
Standard
Plot points in the polar coordinate system. Use the polar coordinate system to draw the graphs of polar equations. PC-5.3
86-87
Change polar coordinates to rectangular coordinates and vice-versa.
88-89
Write polar equations as rectangular equations and vice-versa.
Carry out a procedure to plot points in the polar coordinate system.
Unit Review
90
Unit Test
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Second Nine Weeks
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Duration
Day
Unit 9 – Conic Sections 10 days
91
Objective: The student will be able to…
Write the general and standard forms of the equations of circles and graph it.
Course Indicator SC PC-6.1
Carry out a procedure to graph the circle whose equation is of the form (x-h)2 + (y-k)2 = r2.
PC-6.2
Analyze given information about the center and the radius or the center and the diameter to write an equation of a circle.
CCSS G-GPE.3
(+) 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.
SC PC-6.4 92-93
Write the general and standard forms of the equations of ellipses and graph it.
CCSS G-GPE.3 SC PC-6.5
94-95
Write the general and standard forms of the equations of hyperbolas and graph it.
Standard
CCSS G-GPE.3
Carry out a procedure to graph the ellipse whose equation is of the form
x h 2 y k 2 a2
b2
1.
(+) 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. Carry out a procedure to graph the hyperbola whose equation is of the form
x h 2 y k 2 a2
b2
1.
(+) 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.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks Duration
Day
Unit 9 – Conic Sections 10 days
96
Objective: The student will be able to…
Write the general and standard forms of the equations of parabolas and graph it.
Course Indicator
Standard
SC PC-6.6
Carry out a procedure to graph the parabola whose
CCSS G-GPE.3
(+) 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.
equation is of the form y k a x h . 2
SC PC-6.1
Carry out a procedure to graph the circle whose equation is of the form (x-h)2 + (y-k)2 = r2.
PC-6.4
Carry out a procedure to graph the ellipse whose equation is of the form
97
Recognize the graphs & equations of all conic sections
PC-6.5
a2
b2
1.
Carry out a procedure to graph the hyperbola whose equation is of the form
PC-6.6
x h 2 y k 2 x h 2 y k 2 a2
b2
1.
Carry out a procedure to graph the parabola whose equation is of the form y k a x h . 2
CCSS G-GPE.3
(+) 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.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Unit 9 – Conic Sections 10 days
Duration
Day
98
Objective: The student will be able to…
Find points of intersection between quadratics, lines, and conics.
99
Unit Review
100
Unit Test
Course Indicator
Standard
SC PC-6.3
Apply a procedure to calculate the coordinates of points where a line intersects a circle.
CCSS A-REI.8
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
A-REI.9
(+) 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).
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Unit 10 – Linear and Quadratic Functions 10 days
Duration
Day
Objective: The student will be able to…
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
104
Factoring Quadratics
105
Solve Quadratics by Factoring
106
Computing and simplifying imaginary numbers.
107
Solve quadratic equations (including imaginary roots) by quadratic formula
108
Solve quadratic word problems
109
Unit Review
110
Unit Test
Course Indicator
Standard
PC-3.1
Carry out a procedure to graph quadratic and higherorder polynomial functions by analyzing intercepts and end behavior.
PC-3.6
Carry out a procedure to solve polynomial equations algebraically.
PC-3.7
Carry out a procedure to solve polynomial equations graphically.
PC-3.5
Analyze given information to write a polynomial function that models a given problem situation.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Duration
Day
Unit 11 – Polynomial Functions 12 days
111-113
114
115-118
Objective: The student will be able to…
Course Indicator
Standard
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 higherorder polynomial functions by analyzing intercepts and end behavior.
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.
Recognize higher order polynomial functions, sketch parent graphs to show patterns of graphs of other polynomials and their end behavior.
Dividing Polynomials
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)
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Unit 11 – Polynomial Functions 12 days
Duration
Day
119-120
Objective: The student will be able to…
Course Indicator
Standard
PC-3.10
Carry out a procedure to solve polynomial inequalities algebraically.
PC-3.11
Carry out a procedure to solve polynomial inequalities graphically.
Solve polynomial inequalities
121
Unit Review
122
Unit Test
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
Duration
Day 123
Laws of exponents
124
Simplifying rational exponents
125-126
13 days
127 Unit 12 - Exponents
Objective: The student will be able to…
128
Advanced simplifying – include factoring with rational exponents
Graphs of exponential equations – determine the domain & range.
Unit Review
130
Unit Test
135
Standard
PC-4.5
Apply the laws of exponents to solve problems involving rational exponents.
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-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).
Solve exponential equations with like bases
129
131-134
Course Indicator
Exam Review 3rd Nine Weeks Exam
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Third Nine Weeks
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks Duration
Day
Unit 13 – Logarithmic Functions 12 days
136
137
Objective: The student will be able to…
Find the inverse of a function, sketch and give its domain and range.
Introduce logarithmic function as the inverse of the exponential function.
Course Indicator
Standard
PC-2.1
Carry out a procedure to graph parent functions (including y log a x , y ln x ).
PC-2.5
Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions (including y log a x , y ln x ).
PC-2.8
Carry out a procedure to determine whether the inverse of a function exists.
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-2.8
Carry out a procedure to determine whether the inverse of a function exists.
PC-4.4
Carry out procedures to determine characteristics of exponential functions (including domain, range, intercepts, and asymptotes).
CCSS F-IF.7d
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks Duration
Day
Unit 13 – Logarithmic Functions 12 days
138
139-140
141-143
Objective: The student will be able to…
Course Indicator
Standard
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.
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.
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.
Write logarithmic expressions as exponential and vice versa
Use the laws of logarithms to simplify or expand logarithmic expressions.
Solve logarithmic and exponential equations with and without calculators including natural logs.
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PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks
Unit 13 – Logarithmic Functions 12 days
Duration
Day
144-145
Objective: The student will be able to…
Solve exponential growth/decay problems and compound interest problems.
146
Unit Review
147
Unit Test
Course Indicator
Standard
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.
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks
Unit 14 – Rational Functions and Limits 15 days
Duration
Day
Objective: The student will be able to…
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.
149
150
151
Identify and sketch parent graphs of transformations of the greatest integer function and determine the domain and range of the function.
Identify and sketch parent graphs of transformations of piecewise functions and determine the domain and range of each function.
Evaluate limits as x approaches infinity, describing the end behavior.
Course Indicator
Standard
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.
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.
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.
PC-3.4
Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
Page 30
Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks
Unit 14 – Rational Functions and Limits 15 days
Duration
Day
Objective: The student will be able to…
152
Evaluate limits as x approaches a, describing local behavior.
153-155
Sketch the graph of rational functions using limits.
155-157
158-160
Course Indicator
Standard
PC-3.4
Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
PC-3.4
Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
PC-3.8
Carry out a procedure to solve rational equations algebraically.
PC-3.9
Carry out a procedure to solve rational equations graphically.
Solve rational equations.
Evaluate limits, use properties of limits ATP
161
Unit Review
162
Unit Test
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
Page 31
Copyright © July 1, 2012
PreCalculus CP/Honors – Curriculum Pacing Guide – 2012-2013 Fourth Nine Weeks
Unit 15 – Sequences and Series 18 days
Duration
Day
Objective: The student will be able to…
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.
166-167 168 169-170
Find the general term of a geometric Sequence. Find the partial sum of a geometric series. Include sigma notation. 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
180
Standard
Find the partial sum of an arithmetic series. Include sigma notation.
171
175-179
Course Indicator
End of Course Review 4th Nine Weeks Exam
*AB Schedule needs to cover 2 daily (45 min) sections. Anderson School District Five
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Copyright © July 1, 2012