Honors Algebra II (NCAA Approved)

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Course Description

Description

This is a full length online Honors Algebra II course for accelerated students. In this course, students will extend topics introduced in Algebra I and learn to manipulate and apply more advanced functions and algorithms.

Each student is assigned to a CTY instructor to help them during their course. Online course materials, such as videos, notes, interactive webpages, and practice problems with solutions, are provided for the student. This course has synchronous virtual class meetings and students may also schedule one-on-one virtual meetings directly with the instructor to answer questions or concerns. The instructor will schedule meeting dates/times at the start of the course. Meetings will be recorded for students who are unable to attend due to scheduling conflicts.

Students can contact their instructor via email with any questions or concerns at any time. Live one-on-one online review sessions can be scheduled as well to prepare for the graded assessments, which include homework, chapter exams, and a cumulative midterm and final. Instructors use virtual classroom software allowing video, voice, text, screen sharing and whiteboard interaction. Students are strongly encouraged to work on the course at least 1 hour a day, 5 days a week, and email their instructors at least once per week.

Virtual classrooms, and student activities in the classroom, may be recorded and added to the course as an ongoing asset for all class students to review. Students may be invited to interact in CTY community spaces that include students and instructors and potentially specially invited guests that are not enrolled in their course. Videos from YouTube or other web providers may be present in the course. Video recommendations or links provided at end of videos are generated by the video host provider and are not CTY recommendations.  Student contributions (e.g., projects, forum posts, etc.) may remain in the course after the student completes the course. These artifacts may be preserved to showcase student work or to continue important conversations. 

Topics include:

• Review of advanced algebra concepts
• Functions and graphing
• Polynomial and rational functions
• Exponential and logarithmic functions
• Systems of linear equations and inequalities
• Conic sections
• Introduction to probability and statistics
• Introduction to trigonometry

For a detailed list of topics, select the List of Topics tab.

Materials Needed

Graphing calculator recommended, such as the TI-84 Plus.

List of Topics

Upon successful completion of the course, students will be able to demonstrate mastery over the following topics:

Algebra I Review

• Inequalities and Absolute Value
• Exponents
• Linear Equations
• Linear Equations Part 2
• Word Problems with Linear Equations
• Polynomial Expressions
• Factoring
• Factoring Patterns
• Rational Expressions
• Working with Rationals
• Complex Numbers

Equations and Inequalities

• Quadratic Equations and the Quadratic Formula
• Quadratic Equations: Special Topics
• Word Problems with Quadratics
• Radical Equations
• Variation
• Solving Inequalities
• Inequalities: Quadratics, Rationals and Radicals
• Absolute Value

Relations and Functions

• Function Basics
• Working with Functions
• Function Domain and Range
• Linear Functions: Applications
• Graphing Functions
• The Greatest Integer Function
• Composite Functions
• Quadratic Functions
• Quadratic Functions Part 2
• Manipulating Graphs: Shifts and Stretches

Polynomial and Rational Functions

• Polynomial Division
• The Remainder Theorem
• The Factor Theorem
• The Rational Root Theorem
• Zeros of Polynomials
• Graphing Polynomials
• Rational Functions
• Graphing Rational Functions

Exponential and Logarithmic Functions

• Function Inverses
• Graphing the Inverse
• Exponential Functions
• Applying Exponential Functions
• Logarithmic Functions
• Solving Logarithmic Equations
• Properties of Logarithms
• Applying Logarithmic Functions
• Solving Exponential and Logarithmic Equations
• Applying Exponents and Logarithms

Systems of Equations

• Linear Systems of Equations
• Linear Systems in Three Variables
• Applying Linear Systems
• Nonlinear Systems of Equations
• Systems of Inequalities
• Linear Programming
• Curves of Best Fit

Conic Sections

• Parabolas
• Ellipses
• Hyperbolas
• Circles
• Conic Sections

Probability, Statistics and Sequences

• Combinations and Probability
• The Binomial Theorem
• Measures of Center and Variation
• Binomial Distributions
• Normal Distributions
• Sampling Methods and Designing a Study
• Sequences

Introduction to Trigonometry

• Angles, Radian Measure, and Arc Length
• Right Angle Trigonometry
• The Trigonometric Functions
• Graphing Sine and Cosine Functions with Vertical and Horizontal Shifts
• Graphing Other Trigonometric Functions
• Basic Trigonometric Identities

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Technical Requirements

This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser (such as Chrome or Firefox). The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

Zoom online virtual classroom
This course uses an online virtual classroom for discussions with the instructor. The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app. Students who are unable to attend live sessions will need a computer with the Zoom desktop client installed to watch recorded meetings. The Zoom desktop client and Zoom Mobile App are both available for free download.

This course uses Respondus LockDown Browser proctoring software for designated assessments. LockDown Browser is a client application that is installed to a local computer. Visit the Respondus website for system requirements.

While Chromebook can be used to progress through the course, all exams must be completed on a PC or Mac.