Course: Advanced Algebra & Trigonometry (Fall Semester)

Text: Advanced Mathematical Concepts: Precalculus with Applications

(Glencoe/McGraw Hill)

Cost: $54.99

Prerequisite: Algebra II

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

· make connections among different representations of linear and quadratic functions (QCC) (MAAT_A2001-1)

· apply piecewise and parametric functions and equations (MAAT_C2001-8)

· 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 2 Systems of Linear Equations and Inequalities

· 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 (MAAT_C2001-12)

· write and interpret information matrices (QCC) (MAAT_D2001-14)

· apply sums and products of matrices (QCC) (MAAT_D2001-15)

· apply determinants of matrices (QCC) (MAAT_D2001-16)

· use matrices to solve systems of equations (QCC) (MAAT_D2001-17)

· use matrices to determine transformations (QCC) (MAAT_D2001-18)

Ÿ find the inverse of a square matrix, if it exists, for 2 x 2 and 3 x 3 matrices (QCC) (MAAT_D2003-1)

Chapter 3 The Nature of Graphs (sections 1-7)

· make connections among different representations of linear and quadratic functions (QCC) (MAAT_A2001-1)

· 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)

· 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 define and apply the basic operations and properties of complex numbers (QCC) (MAAT_E2003-6)

Chapter 12 Sequences and Series (sections 1-6)

· interpret arithmetic and geometric sequences and series (QCC, SAT I, ACT)

(MAAT_D2001-13)

· investigate Pascal’s triangle and its properties (QCC) (MAAT_F2001-33)

· use the Binomial Theorem to expand and simplify binomial expressions (QCC) (MAAT_D2003-2)

Chapter 15 Introduction to Calculus (sections 1-2; omit antiderivatives)

· explore slopes of secants approaching slopes of tangents (MAAT_F2001-30)

Course: Advanced Algebra & Trigonometry (Spring Semester)

Text: Advanced Mathematical Concepts: Precalculus with Applications

(Glencoe/McGraw Hill)

Cost: $54.99

Prerequisite: Algebra II

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 5 The Trigonometric Functions

· graph and model circular functions (QCC, ACT) (MAAT_E2001-20)

· graph and evaluate trigonometric inverses (QCC) (MAAT_E2001-22)

· apply laws of sines and cosines including finding area of triangles (QCC) (MAAT_E2001-23)

· model with trigonometric and circular functions (QCC) (MAAT_E2001-25)

· solve trigonometric and circular equations (QCC) (MAAT_E2001-26)

· sketch an angle in standard position and determine the reference and coterminal angles (QCC) (MAAT_E2003-3)

· determine the area of any triangle using an appropriate formula (QCC) (MAAT_E2003-4)

Chapter 6 Graphs of Trigonometric Functions

· apply transformations to graphs of circular functions (QCC) (MAAT_E2001-21)

· graph and evaluate trigonometric inverses (QCC) (MAAT_E2001-22)

· graph and apply trigonometric and circular functions (QCC, ACT) (MAAT_E2001-24)

· convert measures of angles between radians and degrees (QCC) (MAAT_E2003-5)

Chapter 7 Trigonometric Identities and Equations (sections 1-5)

· solve trigonometric equations and verify trigonometric identities (QCC, ACT)

(MAAT_E2001-19)

Chapter 8 Vectors and Parametric Equations

· graph and perform two- and three-dimensional vector computations (QCC) (MAAT_B2001-2)

· apply vector operations (QCC) (MAAT_B2001-3)

· model with vectors (QCC) (MAAT_B2001-4)

· verify geometric properties using vectors (QCC) (MAAT_B2001-5)

· draw and interpret three-dimensional graphs (QCC) (MAAT_C2001-7)

· apply piecewise and parametric functions and equations (MAAT_C2001-8)

Chapter 9 Polar Coordinates and Complex Numbers (sections 1, 3, 5-8)

· investigate trigonometric functions using polar coordinates and find powers and roots of complex numbers (QCC) (MAAT_E2001-27)

· represent complex numbers in trigonometric form (MAAT_E2001-28)

· represent coordinates in trigonometric and polar form (QCC) (MAAT_E2001-29)

Ÿ (new) define and apply the basic operations and properties of complex numbers (QCC)

(MAAT_E2003-6)