Download chapter 1 - Walker County Schools

6/27/2017
MATHEMATICS COURSE CONTENT
PRECALCULUS
Course Description: Precalculus is designed primarily for those students considering careers in mathematical or scientific fields of
study. It is a challenging curriculum that includes an expanded study of polynomial functions, conic sections, logarithmic and
exponential equations, and the real-life applications of these topics.
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6/27/2017
COURSE CONTENT
SUBJECT: PRECALCULUS
CS
5a
4, 5a
4. 5a
5a
7a
7a
7
7
7
1, 1a, b
1, 1a, b
11b
Days
1
1
1
1
1
1
1
1
2
Content Standards
I. TRIGONOMETRY
A. Radian and Degree Measure
B. Trigonometric Functions: The Unit Circle
C. Right Triangle Trigonometry
D. Trigonometric Functions of any Angle
E. Graphs of Sine and Cosine Functions
F. Graphs of other Trigonometric Functions
G. Inverse Trigonometric Functions
H. Applications and Models
Review/Test
Section
CHAPTER 4
4-1
4-2
4-3
4-4
4-5
4-6
4-7
4-8
1
1
1
1
1
2
II. ANALYTIC TRIGONOMETRY
A. Using Fundamental Identities
B. Verifying Trigonometric Identities
C. Solving Trigonometric Equations
D. Sum and Difference Formulas
E. Multiple-angle and Product-to-sum Formulas
Review/Test
CHAPTER 5
5-1
5-2
5-3
5-4
5-5
1
1
1
1
1
2
III. ADDITIONAL TOPICS IN TRIGONOMETRY
A. Law of Sines
B. Law of Cosines
C. Vectors in the Plane
D. Vectors and Dot Products
E. Trigonometric Form of a Complex Number
Review/Test
CHAPTER 6
6-1
6-2
6-3
6-4
6-5
½
IV. FUNCTIONS AND THEIR GRAPHS
A. Graphs of Equations
CHAPTER 1
1-1
2
Dates Taught
Date Tested
6/27/2017
CS
4, 4b
4
4
3, 3a
4
4
4, 5
6
6
4, 6
9, 9a
9, 9a
9, 9a
9, 9a
Days
½
1
1
1
1
1
1
½
2
Content Standards
B. Linear Equations in Two Variables
C. Functions
D. Analyzing Graphs of Functions
E. A Library of Functions
F. Shifting, Reflecting, and Stretching Graphs
G. Combinations of Functions
H. Inverse Functions
I. Mathematical Modeling
Review/Test
Section
1-2
1-3
1-4
1-5
1-6
1-7
1-8
1-9
1
1
1
1
1
1
1
2
V. POLYNOMIALS AND RATIONAL FUNCTIONS
A. Quadratic Functions
B. Polynomial Functions of Higher Degree
C. Polynomial and Synthetic Division
D. Complex Numbers
E. Zeros of Polynomial Functions
F. Rational Functions
G. Partial Fractions
Review/Test
CHAPTER 2
2-1
2-2
2-3
2-4
2-5
2-6
2-7
CHAPTER 3
1
1
1
1
1
2
VI. EXPONENTIAL AND LOGARITHMIC
FUNCTIONS
A. Exponential Functions and their Graphs
B. Logarithmic Functions and their Graphs
C. Properties of Logarithms
D. Exponential and Logarithmic Equations
E. Exponential and Logarithmic Models
Review/Test
1
1
1
1
VII. SEQUENCES, SERIES, AND PROBABILITY
A. Sequences and Series
B. Arithmetic Sequences and Partial Sums
C. Geometric Sequences and Series
D. Mathematical Induction
CHAPTER 9
9-1
9-2
9-3
9-4
3-1
3-2
3-3
3-4
3-5
3
Dates Taught
Date Tested
6/27/2017
CS
9b
3, 3a
3, 3a
3, 3a
8
11
11a, b
Days
1
1
1
2
Content Standards
E. The Binomial Theorem
F. Counting Principles
G. Probability
Review/Test
Section
Dates Taught
Date Tested
9-5
9-6
9-7
1
1
1
1
1
1
1
2
VIII. TOPICS IN ANALYTIC GEOMETRY
A. Lines
B. Introduction to Conics: Parabolas
C. Ellipses
D. Hyperbolas
E. Parametric Equations
F. Polar Coordinates
G. Graphs of Polar Equations
Review/Test
CHAPTER 10
10-1
10-2
10-3
10-4
10-6
10-7
10-8
1
1
1
1
1
2
IX. MATRICES AND DETERMINANTS
A. Matrices and Systems of Equations
B. Operations with Matrices
C. The Inverse of a Square Matrix
D. The Determinant of a Square Matrix
E. Applications of Matrices and Determinants
Review/Test
CHAPTER 8
8-1
8-2
8-3
8-4
8-5
1
1
1
1
2
X. SYSTEMS OF EQUATIONS AND INEQUALITIES
A. Solving Systems of Equations
B. Two Variable Linear Systems
C. Multivariable Linear Systems
D. Systems of Inequalities
Review/Test
CHAPTER 7
7-1
7-2
7-3
7-4
*Note: Course of Study objectives 2, 10, and 12 are not covered by the textbook and must be taught using supplementary materials.
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