### Syllabus for Algebra II

Algebra II

Syllabus 2017-2018

Jesus M. Cardenas

jcardenas@sharylandisd.org

(956) 580-5300 ext. 1235

Tutoring: Tuesday& Thursday 7:30 am – 8:00 am (Subject to change)

Course Description:

This course is designed to teach students to be successful mathematical problem solvers. Topics covered will be the properties and attributes of functions (linear, quadratic, square root, rational, exponential, and logarithmic) and the multiple representations of all functions mentioned above.

Course Objective:

Students will interpret restrictions on the domain and range of functions and their inverse. Students will evaluate the effectiveness of the various methods used to solve equations, inequalities, and systems of equations and/or inequalities. Students will generate multiple representations of a function and use them to determine attributes of a function. Students will also describe and use the relationship between algebraic and geometric representation of a quadratic function of relation, including conic sections.

60% Major Assignments (Tests & Projects)

40% Minor Assignments (Daily Classwork, Homework & Quizzes)

**see district grading policy for specifications**

Required Materials:

• Binder (2 inch or more)
• Composition Notebook
• Pencils
• Hand sanitizer, tissue, and batteries will be assigned by class.

Expectations:

• Be on time and be prepared.
• Bring all materials to class.
• Sharpen pencils before the tardy bell rings or after the teacher is done with the lessons.
• Be prepared and ready to work as soon as the bell rings.
• Sit quietly and be attentive while the teacher is addressing the class.
• Stay in your seat during class time and raise your hand to be recognized.
• Turn in homework on time (no late work will be accepted).
• Ask for any missed work due to an excused absence.
• Follow all school rules at all times.
• Stay on task until the bell rings.
• Take notes every day and keep a neat and well organized binder.
• There will be no food or drinks allowed in class.

Course Topics:

Chapter 1 - Functions

• 1-1 Relations and Functions
• 1-2 Attributes of Functions
• 1-3 Function Operations and Composition
• 1-4 Inverse Functions

Chapter 2 – Absolute Value Equations and Functions

• 2-1 Absolute Value Equations
• 2-2 Solving Absolute Value Inequalities
• 2-3 Attributes of Absolute Value Functions
• 2-4 Transformations of Absolute Value Functions
• 2-5 Graphing Absolute Value Inequalities

Chapter 3 – Systems of Linear Equations

• 3-1 Solving Systems Using Tables and Graphs
• 3-2 Solving Systems Algebraically
• 3-3 Systems of Inequalities
• 3-4 Linear Programming
• 3-5 Systems in Three Variables
• 3-6 Solving Systems Using Matrices

Chapter 4 – Matrices

• 4-1 Adding and Subtracting Matrices
• 4-2 Matrix Multiplication
• 4-3 Determinants and Inverses
• 4-4 Systems and Matrices

Chapter 5 – Quadratic Functions and Equations

• 5-1 Attributes and Transformations of Quadratic Functions
• 5-2 Standard Form of a Quadratic Function
• 5-3 Modeling with Quadratic Functions
• 5-4 Focus and Directrix of a Parabola
• 5-7 Completing the Square
• 5-9 Complex Numbers
• 5-11 Systems of Linear and Quadratic Equations

Chapter 6 – Square Root Functions and Equations

• 6-1 Square Root Functions as Inverses
• 6-2 Attributes of Square Root Functions
• 6-3 Transformations of Square Root Functions
• 6-4 Introduction to Square Root Equations
• 6-5 Solving Square Root Equations

Chapter 7 – Exponential and Logarithmic Functions and Equations

• 7-1 Attributes of Exponential Functions
• 7-2 Transformations of Exponential Functions
• 7-3 Attributes and Transformations of
• 7-4 Exponential Models in Recursive Form
• 7-5 Attributes of Logarithmic Functions
• 7-6 Properties of Logarithms
• 7-7 Transformations of Logarithmic Functions
• 7-8 Attributes and Transformations of the Natural Logarithm Function
• 7-9 Exponential and Logarithmic Equations
• 7-10 Natural Logarithms

Chapter 8 – Polynomials

• 8-1 Attributes of Polynomial Functions
• 8-2 Adding, Subtracting, and Multiplying Polynomials
• 8-3 Polynomials, Linear Factors, and Zeros
• 8-4 Solving Polynomial Equations
• 8-5 Dividing Polynomials
• 8-6 Theorems About Roots of Polynomial Equations
• 8-7 The Fundamental Theorem of Algebra

• 9-1 Roots and Radical Expressions
• 9-2 Multiplying and Dividing Radical Expressions
• 9-4 Rational Expressions

Chapter 10 – Cubic and Cube Root Functions and Equations

• 10-1 Attributes and Transformations of Cubic Functions
• 10-2 Attributes of Cube Root Functions
• 10-3 Transformations of Cube Root Functions
• 10-4 Cube Root Equations

Chapter 11 – Rational Functions and Equations

• 11-1 Inverse Variation
• 11-2 Transformations of Reciprocal Functions
• 11-3 Asymptotes of Rational Functions
• 11-4 Rational Expressions
• 11-5 Adding and Subtracting Rational Expressions
• 11-6 Solving Rational Equations