Course Syllabus: Fall 2007
Advanced Algebra and Trigonometry
Text: Advanced Mathematical Concepts:
Precalculus with Applications
(Glencoe/McGraw
Hill)
Cost: $54.99
Prerequisite: Algebra
II
Materials:
Textbook
Notebook (preferably 3-ring binder)
Pencils (All work MUST be done in pencil!)
Scientific Graphing Calculator (TI-83, TI-83 Plus, TI-84 Plus, etc.)
Graph paper
Colored pencils
Grading
Procedures:
50% Tests
30% Daily (Homework, Quizzes, etc.)
20% Final Exam (5% Free Response / 15% Multiple Choice Final)
*Note: The teacher reserves the right to make adjustments in course content and/or procedures as needed.
Additional Notes:
SAT activities will be supplemented throughout the course.
Parent Signature:____________________________________________________Date______
Curricular
goals interwoven throughout the mathematics program are that students will:
learn to communicate mathematically
(QCC)
learn to use mathematics in their
daily lives (QCC)
become proficient with appropriate
computational tools and techniques (QCC)
learn to reason mathematically (QCC)
become mathematical problem solvers
(QCC)
These
goals will provide the direction for assessment and instruction. Attainment of
these goals is facilitated by the students’ demonstration of the following
Academic Knowledge and Skills (AKS).
Chapter 1 Linear Relations and Functions
14 days
·
make connections
among different representations of linear and quadratic functions (QCC)
(MAAT_A2001-1)
·
apply piecewise
and parametric functions and equations (MAAT_C2001-8)
·
(revised) model
and solve with polynomial, rational, radical, and transcendental functions and
their compositions (QCC, ACT) (MAAT_C2001-9)
·
analyze functions
and their inverses (QCC) (MAAT_C2001-10)
Chapter 12 Sequences and Series
(sections 1-6)
12 days
·
interpret
arithmetic and geometric sequences and series (QCC) (MAAT_D2001-13)
·
investigate
Pascal’s triangle and its properties (QCC) (MAAT_F2001-33)
Chapter 2 Systems of Linear Equations
and Inequalities 14
days
·
investigate
systems of three equations in three unknowns (QCC) (MAAT_C2001-6)
·
graph and analyze
both linear and nonlinear systems (QCC) (MAAT_C2001-11)
·
apply linear
programming models (QCC) (MAAT_C2001-12)
·
write and
interpret information matrices (QCC) (MAAT_D2001-14)
·
(revised) apply
sums and products of matrices (QCC) (MAAT_D2001-15)
·
apply
determinants of matrices (QCC) (MAAT_D2001-16)
·
(revised) use
matrices to solve systems of equations (QCC) (MAAT_D2001-17)
·
use matrices to
determine transformations (QCC) (MAAT_D2001-18)
Ÿ
(new) find the
inverse of a square matrix, if it exists, for 2 x 2 and 3 x 3 matrices (QCC)
(MAAT_D2003-1)
Ÿ
(new) use the
Binomial Theorem to expand and simplify binomial expressions (QCC)
(MAAT_D2003-2)
Chapter 3 The Nature of Graphs (sections
1-7)
14 days
·
make connections
among different representations of linear and quadratic functions (QCC)
(MAAT_A2001-1)
·
apply piecewise
and parametric functions and equations (MAAT_C2001-8)
·
(revised) model
and solve with polynomial, rational, radical, and transcendental functions and
their compositions (QCC, ACT) (MAAT_C2001-9)
·
analyze functions
and their inverses (QCC) (MAAT_C2001-10)
·
determine maximum
and minimum points of a graph and interpret the results in problem situations
(QCC) (MAAT_F2001-31)
·
analyze curves
with respect to intervals in increase/decrease, end behavior, and horizontal,
vertical and oblique asymptotes (QCC) (MAAT_F2001-32)
Chapter 4 Polynomial and Rational
Functions (omit Partial Fractions)
15 days
·
(revised) model
and solve with polynomial, rational, radical, and transcendental functions and
their compositions (QCC, ACT) (MAAT_C2001-9)
·
analyze functions
and their inverses (QCC) (MAAT_C2001-10)
Ÿ
(new) define and
apply the basic operations and properties of complex numbers (QCC)
(MAAT_E2003-6)
Chapter 15 Introduction to Calculus
(sections 1-2; omit antiderivatives)
5 days
·
explore slopes of
secants approaching slopes of tangents (MAAT_F2001-30)