**Syllabus Algebra II**

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**course code: **FLVS_ALG2**course name: **Algebra II Honors Online**course length: **2 semesters**grade: **9 - 13**partner: **FLVS - Florida Virtual School Global

It’s time to finish what you started. In Algebra I, you learned that algebra is an efficient way to solve some real-world problems. You also acquired the power to do a lot of the important basic work. Now, after a quick review, you’ll be ready to tackle Algebra IB.

This course works like the last one. You’ll get step-by-step instructions with all the numbers, equations, and graphs on the screen right in front of you. You’ll also have plenty of time to practice and plenty of opportunities to ask your teacher for help. Along with learning new algebraic strategies and properties, you’ll learn data analysis concepts and techniques. You’ll also see how algebra connects with other high school subjects like geometry, statistics and biology.

These courses will also give you a powerful tool for understanding how the world works, and how to make it work for you.

Instructor Daniel says:

*The Algebra 2 course is a huge step for aspiring young future scientists and engineers in their mathematical knowledge. It is a bridge from simple arithmetics to advanced topics such as exponential and logarithmic functions, statistical modelling or trigonometry. On the way, you may learn for example about a branch of numbers which are not real but they are crucial to the real world as we know it! For the entire course an instructor will be at hand for you to answer any questions that you may have and to provide you with real-life examples to stimulate your interest in the subject. Thus, you may calculate together how long it will take before the Chernobyl area returns to a safe level of radiation, or try to figure out as many ways as possible of obtaining the golden ratio in geometry, nature and mathematical sequences.*

*Many of the students gain their motivation and confidence in Algebra 2 to continue exploring math and science in advanced AP courses, such as AP Calculus BC or AP Physics. And I am sure that the course can spark this joy in you as well! See you there!*

**Daniel Demovič, CTM Online Instructor**

Study materials (e-books, Discovery Education, etc. ...) for FLVS Global courses are INCLUDED in the price of the course.

**Study Scope and Sequence**

**Module 1: Radical and Polynomial Operations**

· Rational Exponents

· Properties of Rational Exponents

· Solving Radical Equations

· Complex Numbers

· Operations on Complex Numbers

· Polynomial Operations

**Module 2: Factoring and Quadratics**

· Greatest Common Factors and Special Products

· Factoring by Grouping

· Sum and Difference of Cubes

· Graphing Quadratics

· Completing the Square

· Solving Quadratic Equations

· Solving Quadratic Equations with Complex Solutions

· Investigating Quadratics

**Module 3: Solving Polynomials**

· Polynomial Long Division

· Theorems of Algebra

· Polynomial Transformations

· Solving and Graphing Polynomials

· Polynomial Identities and Proofs

**Module 4: Rational Equations**

· Simplifying Rational Expressions

· Discontinuities of Rational Expressions

· Asymptotes of Rational Functions

· Solving Rational Equations

**Module 5: Exponential and Logarithmic Functions**

· Exponential Functions

· Logarithmic Functions

· Graphing Exponential Functions

· Graphing Logarithmic Functions

**Module 6: System of Equations**

· Solving Systems of Equations Algebraically

· Solving Systems of Equations Graphically

· Solving Systems of Non-Linear Equations

· Graphing Systems of Non-Linear Equations

**Module 7: Sequences and Series**

· Arithmetic Sequences and Series

· Geometric Sequences

· Geometric Series

· Sigma Notation

· Graphing Sequences and Series

**Module 8: Statistic**

· Events and Outcomes in a Sample Space

· Independent Probabilities

· Conditional Probability

· Normal Distribution

· Models of Populations

· Using Surveys

· Using Experiments

**Module 9: Trigonometry**

· Introduction to the Unit Circle

· Unit Circle and the Coordinate Plane

· Trigonometric Functions with Periodic Phenomena

· Pythagoras, Trigonometry, and Quadrants

· Functions of All Types

** **

For this course you need to secure the following textbook and materials (if lab kit is listed, check first the possibility of using your school lab prior to buying the lab kit):

Description | Number | Type | Source |
---|---|---|---|

Graphing Calculator | Tool | NOT included in the price of the course | |

course fee: 543,- EUR / 12 940,- Kč

This course gave me a lot of new informations. Some of them were reviews of something I have known but then there were harder and more complex informations that I have learned. It was a great way to improve my math and get better.

**Jakub M., 2023**

**CTM - Centrum pro talentovanou mládež, z.s. nezisková organizaceCTM - Center for Talented Minds, **

info@ctm-academy.org

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