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Honors Algebra II

Prerequisites: Qualifying math score and completion of Algebra I or the equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: One full year of high school credit

Course Code: AL2

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.

Online course materials, such as videos, notes, interactive webpages, and practice problems with solutions, are provided for the student. Students progress through the course at their own pace, and are expected to watch videos and review notes regularly. Each student is assigned to an CTY Instructor to help them during their course. 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 (for a 6 month enrollment), and email their instructors at least once per week.

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

Honors Algebra II banner

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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Sample Video Lecture

Sample Video

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Algebra II demo

System Requirements

CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer) with the Adobe Flash plugin. Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

This course requires high-speed Internet access (such as Cable or DSL) for online lesson videos. Your browser will need to allow javascript, login cookies, and popup windows from ctyjhu.org and other CTY course web sites.

You may also need the Java Runtime Environment.

This course uses an online classroom for individual or group discussions with the instructor. The classroom works on standard computers with the Adobe Flash plugin, and also tablets or handhelds that support the Adobe Connect Mobile app.