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College Prep Algebra Two
Trigonometry Course Syllabus
Course Name: College Prep
Algebra Two Trigonometry
I Course Information
Course Number:
3231
Level:
College Prep
Department:
Mathematics
II Course Description
Prerequisite:
2 semesters of College Prep Geometry
Open to:
Freshman, Sophomore, Junior, Senior
Length:
Year
Credit:
1
Summary:
This course expands the material studied in College Prep Algebra One and
Geometry, emphasizing real world applications and associated graphical
analysis. Topics studied include operations on real numbers and variables,
solving equations, graphing, polynomials, functions, complex numbers, matrices,
systems of equations, rational expression, conics, exponential and logarithmic
functions, probability and statistics, and trigonometry.
III Course Goals
1.
Students will be able to graph linear relations and functions.
2.
Students will use matrices to solve systems of linear equations.
3.
Students will review and extend knowledge of operations on monomials and
polynomials.
4.
Students will explore quadratic functions and inequalities.
5.
Students will explore, discover and apply trigonometric ratios.
6.
Students will explore, discover and apply exponential and logarithmic functions
7.
Students will explore, discover and apply rational expressions
8.
Students will review and expand their knowledge about polynomial functions.
IV Textbooks and Materials
Textbook:
Larson/Hostetler, Algebra and Trigonometry, Seventh Edition
Material:
Paper, Pencils, Notebook/Binder, Graphing Calculator (TI – 83, TI – 84, TI – 83
Plus or TI – 84 Plus)
V Course Outline
First Semester – Units of
Instruction and Assessments
Unit One
–
Prerequisites
Review of Real
Numbers and their Properties
Exponents and
Radicals
Polynomials and
Special Products
Factoring
Polynomials
Rational
Expressions
The Rectangular
Coordinate System and Graphs
Unit Two
– Equations, Inequalities, and
Mathematical Modeling
Graphs of
Equations
Linear
Equations in One Variable
Modeling with
Linear Equations
Quadratic
Equations and Applications
Complex Numbers
Other Types of
Equations
Linear
Inequalities in One Variable
Other Types of
Inequalities
Unit Three
– Functions and Their Graphs
Linear
Equations in Two Variables
Functions
Analyzing
Graphs of Functions
A Library of
Parent Functions
Transformations
of Functions
Combinations of
Functions
Inverse
Functions
Unit Four
– Polynomial Functions
Quadratic
Functions and Models
Polynomial
Functions of Higher Degree
Polynomial and
Synthetic Division
Zeros of
Polynomial Functions
Mathematical
Modeling and Variation
Unit Five
– Rational Functions and
Conics
Rational
Functions and Asymptotes
Graphs of
Rational Functions
Conics
Translation of
Conics
Unit Six
– Systems of Equations and
Inequalities
Linear and
Nonlinear Systems of Equations
Two-Variable
Linear Systems
Multivariable
Linear Systems
Systems of
Inequalities
Linear
Programming
Major Assessments:
Quizzes:
2.1 – 2.2 Quiz, 2.3 – 2.5, 3.1 – 3.3, 4.1 – 4.2,
Tests:
Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Unit 6
Semester One Exam
Misc:
Homework, Binder/Notebook, Bellwork
Second Semester Units of
Instruction and Assessments:
Unit
Seven – Matrices and Determinants
Matrices and Systems of Equations
Operations with Matrices
The
Inverse of a Square Matrix
The
Determinant of a Square Matrix
Applications of Matrices and Determinants
Unit
Eight – Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Unit
Nine – Sequences, Series, and Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Counting Principles
Probability
Unit
Ten – Trigonometry
Angles
and Their Measure
Right
Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs
of Sine and Cosine Functions
Inverse
Trigonometric Functions
Applications and Models
Unit
Eleven – Analytic Trigonometry
Using
Fundamental Identities
Verifying Trigonometric Identities
Solving
Trigonometric Equations
Unit
Twelve – Additional Topics in Trigonometry
Law of
Sines
Law of
Cosines
Major Assessments:
Quizzes:
TBA
Tests:
Unit 7, Unit 8, Unit 9, Unit 10, Unit 11, Unit 12
Semester Two Exam
Misc:
Homework, Binder/Notebook, Bellwork
(Parents and students: please consult individual teachers for grading policies,
extra credit info, class procedures, etc.)
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