PACING GUIDE FORPrecalculus by Demana, Waits, Foley, Kennedy, 7th edition
2012-13
Sept 5 – Sept 21 (13 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 24 – Oct 26 (24 days) - CHAPTER 1: Functions and Graphs
Objectives:
2.1 Recognize whether a relation is also a function.
2.2 Given functions f and g, find f + g, f - g, fg, f/g, f g, and g f.
2.3Determine whether a function is invertible.
2.4Read and interpret inverses (where applicable) from graphs in application settings.
2.5Determine the inverse of a function displayed in table form.
2.6Determine the equation of the inverse when algebraically possible.
2.7Sketch the inverse graph of an invertible function, manually and using the graphing calculator.
2.8Determine the domain, range, intercepts, and intervals where the function is increasing or decreasing forpolynomial functions,piecewise functions, absolute value functions, rational functions, logarithmic functions, exponential functions, trigonometric functions, families of functions, and the composition of these functions.
2.9 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.
1.1Modeling and Equation Solving–3 days
1.2Functions and Their Properties – 3 days
1.312 Basic Functions–5 days
1.4Building Functions from Functions – 2 days
1.5Inverses – 3 days (skip examples 1 and 2: Parametric mode)
1.6Graphical Transformations – 3 days
1.7Modeling with Functions – 3 days
Chapter 1 Review and Test – 2 days
Oct 29 – Dec 14 (31 days) - CHAPTER 2: Polynomial, Power, and Rational Functions
Objectives:
2.10Determine 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 anyhorizontal, 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.
2.12Observe 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.
2.13Write 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..
2.1Linear and Quadratic Functions and Modeling – 3 days
2.2Power Functionswith Modeling – 3 days
2.3Polynomial Functions of Higher Degree with Modeling – 4 days
2.4Real Zeros of Polynomial Functions – 4 days
2.5Complex Zeros and the Fundamental Theorem of Algebra – 3 days
2.6Graphs of Rational Functions – 4 days
2.7Solving Equations in One Variable – 3 days
2.8Solving Inequalities in One Variable – 4 days
Chapter 2 Review and Test – 3 days
Dec 17– Feb 15 (33 days) - CHAPTER 3: Exponential, Logistic, and Logarithmic Functions
+ Midterm Review Included
Objectives:
2.10Determine 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 anyhorizontal, 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.
2.12Observe 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.
2.13Write 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.
3.1Exponential and Logistic Functions – 5 days
3.2Exponential and Logistic Modeling – 6 days
3.3Logarithmic Functions and Their Graphs – 5 days
3.4Properties of Logarithmic Functions – 4 days
JAN 14 - JAN 18 (5 days) - REVIEW FOR MIDTERM: TOPICS THROUGH SECTION 3.4
3.5Equation Solving and Modeling – 6 days
3.6Mathematics of Finance – 4 days
Chapter 3 Review and Test – 3 days
Feb 25 – April 26 (39 days) - CHAPTER 4: Trigonometric Functions******
Objectives:
3.1Convert an angle measurement in radians or decimal degrees to an equivalent measurement.
3.2Calculate the length of an arc of a circle, given the radius and central angle measure.
3.3Use the definitions of trigonometric functions to evaluate the trigonometric functions.
3.4State the exact values of the trigonometric functions for 0, /6, /4, /3, and /2 radians.
3.5Find reference values anduse the symmetries of the unit circle to determine the exactvalues 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.
3.6 Evaluate an expression involving trigonometric functions of real numbers without a calculator.
3.7 Estimate an expression involving trigonometric functions of real numbers using a calculator.
3.11State the definitions of the inverse sine, cosine, and tangent functions.
3.12 Using a calculator, estimate an expression involving the inverse sine, cosine or tangent functions.
3.13 Without using a calculator, evaluate an expression exactlyinvolving the inverse sine, cosine or tangent functions.
3.14 Using a calculator, estimate the value of an expressing involving the composition of a trigonometric and an
inverse trigonometric function.
3.15State the domain, range, and period for each of the six trigonometric functions. Verify these values using the graphing calculator.
3.16Sketch the graphs of all six trigonometric functions.
3.17 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.
3.18 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.
3.19Sketch the graphs of y = sin1x, y = cos1x, and y = tan1x.
4.1Angles and Their Measures – 3 days
4.2Trigonometric Functions of Acute Angles – 4 days
4.3Trigonometry Extended: The Circular Functions –5 days
4.4Graphs of Sine and Cosine: Sinusoids – 5 days
4.5Graphs of Tangent, Cotangent, Secant, and Cosecant – 5 days
4.6Graphs of Composite Trigonometric Functions – 5 days
4.7 Inverse Trigonometric Functions – 4 days
4.8 Solving Problems with Trigonometry – 5 days
Chapter 4 Review and Test – 3 days
Apr 29 – May 24 (20 days) - CHAPTER 5: Analytic Trigonometry + Section 7.1
Objectives:
3.8Use the Law of Sines and the Law of Cosines to determine parts of a triangle.
3.9State and use the following identities: Negative angle identities, Cofunction identities, Reciprocal identities,Tangentcotangent identities, Pythagorean identities
3.10Prove identities involving the trigonometric functions.
3.20Solve equations involving trigonometric and inverse trigonometric functions.
2.14 Determine the point(s) of intersection for systems of non-linear functions algebraically and using thegraphing calculator.
5.1Fundamental Identities – 5 days
5.2Proving Trigonometric Identities – 4 days
5.5The Law of Sines – 2 days
5.6The Law of Cosines – 2 days
7.1 Solving Systems of Two Equations – 3 days
Chapter 5 and 7.1 Review and Test – 3 days
May 28 – May 31 (4 days) - Section 10.3 More on Limits
June 3– June 10 (6 days) - Review for Final Exam
Precalculus Pacing Guide 2012 -13Page 1 of 5