PACING GUIDE FOR Precalculus by Demana, Waits, Foley, Kennedy, 7th edition
2013-14
Sept 4 – Sept 13 (8 days) - REVIEW:
Chapter P
A.1 Radicals and Rational Exponents (pg 839)
A.2 Polynomials and Factoring (pg 845)
A.3 Fractional Expressions (pg 852)
Sept 16 – Oct 18 (24 days) - CHAPTER 1: Functions and Graphs
Objectives:
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
Recognize whether a relation is also a function.
Given functions f and g, find f + g, f - g, fg, f/g, f  g, and g  f.
Determine whether a function is invertible.
Read and interpret inverses (where applicable) from graphs in application settings.
Determine the inverse of a function displayed in table form.
Determine the equation of the inverse when algebraically possible.
Sketch the inverse graph of an invertible function, manually and using the graphing calculator.
Determine the domain, range, intercepts, and intervals where the function is increasing or decreasing for
polynomial functions, piecewise functions, absolute value functions, rational functions, logarithmic functions,
exponential functions, trigonometric functions, families of functions, and the composition of these functions.
Observe symmetries about points and about lines for piecewise functions, absolute value functions, rational
functions, trigonometric functions, families of functions, and the composition of these functions using the
graphing calculator. Verify algebraically where possible.
1.1
Modeling and Equation Solving
1.2
Functions and Their Properties
1.3
12 Basic Functions
1.4
Building Functions from Functions
1.5
Inverses – 3 days (skip examples 1 and 2: Parametric mode)
1.6
Graphical Transformations
1.7
Modeling with Functions
Chapter 1 Review and Test
Precalculus Pacing Guide 2013 -14
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Oct 21 – Nov 26 (26 days) - CHAPTER 2: Polynomial, Power, and Rational Functions
Objectives:
2.10
2.11
2.12
2.13
2.15
Determine graphically relative maximum and minimum values where they exist for piecewise functions, absolute
value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families
of functions, and the composition of these functions.
Determine any horizontal, vertical, and oblique asymptotes for rational functions, logarithmic functions,
exponential functions, trigonometric functions and the composition of these functions algebraically. Verify using
the graphing calculator.
Observe and describe both rigid and non-rigid transformations of polynomial functions, piecewise functions,
absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions,
families of functions, and the composition of these functions.
Write an equation for both rigid and non-rigid transformations or composition of functions.
Graph piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential
functions, trigonometric functions, families of functions, and the composition of these functions manually and
using the graphing calculator..
2.1
Linear and Quadratic Functions and Modeling
2.2
Power Functions with Modeling
2.3
Polynomial Functions of Higher Degree with Modeling
2.4
Real Zeros of Polynomial Functions
2.5
Complex Zeros and the Fundamental Theorem of Algebra
2.6
Graphs of Rational Functions
2.7
Solving Equations in One Variable
2.8
Solving Inequalities in One Variable
Chapter 2 Review and Test
Precalculus Pacing Guide 2013 -14
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Dec 2 – Jan 16 (24 days) - CHAPTER 3: Exponential, Logistic, and Logarithmic Functions
+ Midterm Review Included
Objectives:
2.10
Determine graphically relative maximum and minimum values where they exist for piecewise functions, absolute
value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families
of functions, and the composition of these functions.
2.11
Determine any horizontal, vertical, and oblique asymptotes for rational functions, logarithmic functions,
exponential functions, trigonometric functions and the composition of these functions algebraically. Verify using
the graphing calculator.
2.12
Observe and describe both rigid and non-rigid transformations of polynomial functions, piecewise functions,
absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions,
families of functions, and the composition of these functions.
2.13
Write an equation for both rigid and non-rigid transformations or composition of functions.
2.15
Graph piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential
functions, trigonometric functions, families of functions, and the composition of these functions manually and using
the graphing calculator.
3.1
Exponential and Logistic Functions
3.2
Exponential and Logistic Modeling
3.3
Logarithmic Functions and Their Graphs
3.4
Properties of Logarithmic Functions
3.5
Equation Solving and Modeling
3.6
Mathematics of Finance
Chapter 3 Review and Test
JAN 21 - JAN 24 (4 days) - REVIEW FOR MIDTERM: TOPICS THROUGH SECTION 3.6
Precalculus Pacing Guide 2013 -14
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Feb 3 – Mar 28 (34 days) - CHAPTER 4: Trigonometric Functions******
Objectives:
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.11
3.12
3.13
3.14
3.15
3.16
3.17
3.18
3.19
Convert an angle measurement in radians or decimal degrees to an equivalent measurement.
Calculate the length of an arc of a circle, given the radius and central angle measure.
Use the definitions of trigonometric functions to evaluate the trigonometric functions.
State the exact values of the trigonometric functions for 0, /6, /4, /3, and /2 radians.
Find reference values and use the symmetries of the unit circle to determine the exact values of the trigonometric
functions for 0, /2, , 3/2, 2/3, 3/4, 5/6, 7/6, 5/4, 4/3, 5/3, 7/4, and 11/6 radians.
Evaluate an expression involving trigonometric functions of real numbers without a calculator.
Estimate an expression involving trigonometric functions of real numbers using a calculator.
State the definitions of the inverse sine, cosine, and tangent functions.
Using a calculator, estimate an expression involving the inverse sine, cosine or tangent functions.
Without using a calculator, evaluate an expression exactly involving the inverse sine, cosine or tangent functions.
Using a calculator, estimate the value of an expressing involving the composition of a trigonometric and an
inverse trigonometric function.
State the domain, range, and period for each of the six trigonometric functions. Verify these values using the
graphing calculator.
Sketch the graphs of all six trigonometric functions.
Sketch the graphs of y = a f(bx + c) + d where f is a trigonometric function, and discuss amplitude, period, phase
shift and vertical shift.
Given the graph of a trigonometric function, determine the amplitude, period, phase shift and vertical shift. Use
that information to write the equation of the function.
Sketch the graphs of y = sin-1x, y = cos-1x, and y = tan-1x.
4.1
Angles and Their Measures
4.2
Trigonometric Functions of Acute Angles
4.3
Trigonometry Extended: The Circular Functions
4.4
Graphs of Sine and Cosine: Sinusoids
4.5
Graphs of Tangent, Cotangent, Secant, and Cosecant
4.6
Graphs of Composite Trigonometric Functions
4.7
Inverse Trigonometric Functions
4.8
Solving Problems with Trigonometry
Chapter 4 Review and Test
Precalculus Pacing Guide 2013 -14
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Mar 31 – Apr 25 (15 days) - CHAPTER 5: Analytic Trigonometry + Section 7.1
Objectives:
3.8
3.9
Use the Law of Sines and the Law of Cosines to determine parts of a triangle.
State and use the following identities: Negative angle identities, Cofunction identities, Reciprocal
identities,Tangent-cotangent identities, Pythagorean identities
3.10 Prove identities involving the trigonometric functions.
3.20 Solve equations involving trigonometric and inverse trigonometric functions.
2.14 Determine the point(s) of intersection for systems of non-linear functions algebraically and using the graphing
calculator.
5.1
Fundamental Identities
5.2
Proving Trigonometric Identities
5.5
The Law of Sines
5.6
The Law of Cosines
7.1
Solving Systems of Two Equations
Chapter 5 and 7.1 Review and Test
Apr 28 – May 22 (20 days) - CHAPTER 6: Applications of Trigonometry
6.1
Vectors in the Plane
6.2
Dot Product of Vectors
6.3
Parametric Equations and Motion
6.4
Polar Coordinates
6.5
Graphs of Polar Coordinates
6.6
DeMoivre’s Theorem and nth Roots
May 27 – June 6 (4 days) - Section 10.1-10.3 Limits
June 9 – June 16 (6 days) - Review for Final Exam
Precalculus Pacing Guide 2013 -14
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