Algebra II Syllabus

Course Syllabus

Algebra II

Mr. Fred Schmidt

 

COURSE DESCRIPTION:

This course is designed to build on algebraic and geometric concepts.  It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, and concepts and includes the study of trigonometric functions.  It also introduces matrices and their properties.  The content of this course is important for a student’s success on both the ACT and SAT math portions. It also helps each student to ready themselves for future college courses or career choices.

 

ONLINE COURSE INSTRUCTION AND TEXT:

Throughout the course we will use online resources instead of a textbook for Algebra II but I will often provide public source online textbook pages as needed. Because we are using online instruction, you are responsible to bring your Chromebook fully charged to class.

 

REQUIRED MATERIALS:

  • Charged Chromebooks
  • 1 Single Subject Spiral Notebook
  • Pencils  -  please note that I want us all to only use pencils
  • Erasers

A NOTE ON CALCULATORS:

In this class we will be using Desmos which is online and free. You will not be allowed to use your phone as a calculator. It is important to note that the SAT uses handheld calculators and so we will be teaching with the TI 84 Plus or the TI 84 Plus CE Graphing Calculator from time to time so that students are familiar with their functionality.  These calculators are optional and range from about $85 - $125 online. If you are taking the SAT and/or are going to college, this would be a good investment.

 

CLASSROOM RULES:

  • Be considerate of each other and the teacher and their personal property.Treat others as you would like to be treated.
  • Follow directions and if you have a question, please ask.
  • Raise your hand to speak and wait to be called upon by the teacher.
  • Use appropriate voices and language.
  • No cell phones are to be out during class please.
  • Be responsible to come to class on your scheduled class day prepared for class, and be ready by having previewed our lesson at home and already have done the assignments.
  • If you have a question, ask it!
  • If you need help, ask for it!
  • Follow the guidelines set forth in the Student Handbook.
  • Do not leave the room except with the permission of the teacher.
  • Try your best and be proud of your accomplishments because I am!

 

ATTENDANCE:

If you are absent you will need to be responsible about checking our Home Page to find out what you missed, go over the lesson, and do the assignments for the day(s) that you missed.  It is your responsibility to get caught up on your missing work.

If you are absent on the day of a quiz or test, you are responsible for making it up on the next class day present.

 

CONTACT INFORMATION:

The best way to contact me is through Canvas and through our school email. Your parents will be contacted weekly so they know our progress throughout the semester. Please feel free to encourage them to contact me via my Google Voice phone (434-253-0734) or via email at [email protected] if you or they have any questions or concerns.  Email is the quickest way to get in touch with me, but please feel free to call if you need to.

 

Proposed Modules for Alg II/Honors Alg II

Module 1   Algebra Foundations

  1. Order of Operations
  2. Solving Linear Equations
  3. Writing Linear Equations(slope, slope-intercept form, point-slope form)
  4. Graphing Linear Equations
  5. Absolute Value Equations
  6. Solving Linear Inequalities(including compound inequalities)
  7. Absolute Value Inequalities

Module 2        Functions Families Part 1

  1. Graphing Absolute Value Functions (Parent Function & Transformations)
  2. Graphing Quadratic Functions (Parent Function & Transformations)
  3. Characteristics of Functions (Linear, Abs. Value & Quadratic)
    1. Domain/Range
    2. Increasing/Decreasing
    3. End behavior
    4. Min/Max

Module 3        Factoring & Quadratics

       1.  Factoring

      a.  GCF    

      b.  Difference of Squares

      c.  Trinomials with leading coefficient of 1

      d.  Trinomials with leading coefficient not equal to 1

    1. Sum & Difference of Cubes
    2. Factoring completely 

        2.  Solving Quadratics by Factoring

        3.  Solving Quadratics by Graphing       

        4..  Simplifying Radicals (prerequisite for quad formula, simplifying complex #s) 

        5.  Complex Numbers

        6.  Solving Quadratics by Quadratic Formula

        7   Solving Quadratics by Completing the Square****Honors only

        8.  Solving Systems(prerequisite for Non-linear systems)

        9.  Solving Non-linear systems of equations ****Desmos only for regular Alg II     

Module 4        Polynomial Functions

  1.  Intro/Naming Polynomials
  2.  Synthetic Division
  3.  Finding Zeros of polynomial functions (graph to find real zeros and use synthetic  division to find irrational or complex roots
  4.  Rational Roots Thm****Honors only

Module 5  Exponential & Logarithmic Functions

  1.  Parent functions
  2. Transformations of functions
  3. Application of exponential functions (growth/decay)

Module 6   Functions Families Part 2

  1.  Characteristics of Functions (polynomial, exponential, logarithmic)
  1. Domain/Range
  2. Increasing/Decreasing
  3. End behavior
  4. Min/Max
  5. Asymptotes

        2.  Composite and Inverse functions

Module  7  Rational Functions

  1.  Graphing & characteristics  rational functions
    1.  Domain/Range
    2.  Increasing/Decreasing
    3.  End behavior
    4.  Min/Max
    5. Asymptotes
  2.  Multiplying & Dividing Rational Expressions
  3. Adding & Subtracting Rational Expressions
  4. Solving Rational Equations

Module 8        Trig

  1. Right Triangle Trig
  2. Special Right Triangles (prerequisite for unit circle)
  3. Degrees/radians, radian measure on the unit circle
  4. First quadratic of the unit circle
  5. Complete the unit circle
  6. Law of Sines
  7. Law of Cosines

 

Extended Modules (if we have time)

Module 9        Sequences and Series

  1. Arithmetic Sequences
  2. Arithmetic Series(include sigma notation)
  3. Geometric Sequences
  4. Geometric Series

Module 10      Radicals

  1. Multiplying and Dividing Radicals
  2. Adding and subtracting radicals
  3. Solving Radical equations
  4. Graphing Radical equations(square root and cube root)
  5. Characteristics of of radical equations
  1. Domain/Range
  2. Increasing/Decreasing
  3. End behavior

Module 11      Statistics

  1.  Permutations & Combinations
  2.  Normal Distribution

Module 12       Variation

  1.  Direct Variation
  2.  Inverse and Joint Variation