Pre-Calculus 1
Fordson High School
Text:
Instructor:
E-Mail:
Phone:
Mrs. Amal Baiz
baiza@dearborn.k12.mi.us
(313) 827- 7242
Demana, Waits, Foley, and Kennedy (2011) PreCalculus: Graphical,
Numerical, Algebraic, 8th ed. Boston: Perason Prentice Hall
Course Outline:
Chapter 1 – Functions and Graphs (14 days)
1.1
Modeling and Equation Solving
1.2
Functions and Their Properties
1.3
Twelve Basic Functions
1.4
Building Functions from Functions
1.5
Parametric Relations and Inverses
1.6
Graphical Transformations
1.7
Modeling with Functions
The primary goals of Chapter 1 are to establish the course expectations and atmosphere
and to cover all necessary topics related to preparation for Pre Calculus. This may
include some review of the major topics of Algebra 2, Geometry, and Algebra 1. Topics
to be covered include: analysis of graphs using graphing calculator technology, basic
understanding of the various families of functions that are important in Pre Calculus,
domain, range, inverses, and applications associated to each of these topics.
Chapter 2 – Polynomial, Power, and Rational Functions (16 days)
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 begins to look at the heart of Pre Calculus: The Function. 99% of what we do
in this class will be devoted to analysis of functions in some way, so it’s pretty important
to lay a good foundation. Some of this material will be a repeat of material from previous
courses. Topic to be covered include: average rate of change, zeros of polynomial
functions, synthetic division, solving rational equations, and rational inequalities.
Chapter 3 – Exponential, Logistic, and Logarithmic Functions
(12 Days)
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 is a continuation of Chapter 2, focusing on exponential and logarithmic
functions, which are an important family with many applications to the real world.
Topics to be covered include: the natural exponential and logarithmic functions,
exponential growth and decay models, common logarithms, properties of logarithms,
solving exponential and logarithmic equations, and interest compounded continuously.
Chapter 4 – Trigonometric Functions (16 Days)
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
Chapters 4 and 5 are the beginning of the section of the course that focuses on
Trigonometry. Topics to be covered in Chapter 4 include: degrees and radians, right
triangle trigonometry, periodic functions, basic waves, damped oscillation, inverse sine
and cosine functions, and applications of inverse trigonometric functions.
Chapter 5 – Analytic Trigonometry (12 Days)?
5.1
Fundamental Identities
5.2
Proving Trigonometric Identities
5.3
Sum and Difference Identities
5.4
Multiple-Angle Identities
5.5
The Law of Sines
5.6
The Law of Cosines
Chapter 5 is a continuation of Chapter 4 – still focused on Trigonometry. Chapter 6 will
be even more Trig. Topics to be covered in Chapter 5 include: basic trigonometric
identities, proving identities, cosines and sines of sums and differences, half-angle
identities, and the laws of sine and cosine.
That makes 80 days of coverage, which leaves us about 10 days of “wiggle room.”
Subtracting out final exam week and the first, short week, there isn’t a lot of time
left over. Be ready to work hard!