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Honors Algebra I

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Eligibility: CTY-level or Advanced CTY-level math score required

Prerequisites: Successful completion of Pre-algebra or equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: One academic year

Course Code: AL1

Course Description


This is a full-length online Honors Algebra I course for accelerated students. In this course, students will extend topics introduced in Pre-Algebra by learning algebraic concepts through both theory and applications. Modeling and real-world problems are introduced throughout the course. This course prepares students for Honors Geometry and Honors Algebra II.

Online course materials, such as videos, ebook, 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 ebook regularly. Each student is assigned to a CTY instructor to help them during their course. Students can contact their instructors via email with any questions or concerns at any time. This course has synchronous virtual class meetings, but participation is optional. Students may also schedule one-on-one virtual meetings directly with the instructor to answer questions or concerns. Live one-on-one online review sessions can be scheduled 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.

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. 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.

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

Honors Alg 1 Banner

Materials Needed

A graphing calculator is required. 

List of Topics

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

 Solving Linear Equations

  • Solving Simple Equations
  • Solving Multi-Step Equations
  • Solving Equations with Variables on Both Sides
  • Solving Absolute Value Equations
  • Rewriting Equations and Formulas

 Solving Linear Inequalities

  • Writing and Graphing Inequalities
  • Solving Inequalities Using Addition or Subtraction
  • Solving Inequalities Using Multiplication or Division
  • Solving Multi-Step Inequalities
  • Solving Compound Inequalities
  • Solving Absolute Value Inequalities

 Graphing Linear Functions

  • Functions
  • Linear Functions
  • Function Notation
  • Graphing Linear Equations in Standard Form
  • Graphing Linear Equations in Slope-Intercept Form
  • Transformations of Graphs of Linear Functions
  • Graphing Absolute Value Functions

 Writing Linear Functions

  • Writing Equations in Slope-Intercept Form
  • Writing Equations in Point-Slope Form
  • Writing Equations of Parallel and Perpendicular Lines
  • Scatter Plots and Lines of Fit
  • Analyzing Lines of Fit
  • Arithmetic Sequences
  • Piecewise Functions

 Solving Systems of Linear Equations

  • Solving Systems of Linear Equations by Graphing
  • Solving Systems of Linear Equations by Substitution
  • Solving Systems of Linear Equations by Elimination
  • Solving Special Systems of Linear Equations
  • Solving Equations by Graphing
  • Graphing Linear Inequalities in Two Variables
  • Systems of Linear Inequalities

 Exponential Functions and Sequences

  • Properties of Exponents
  • Radicals and Rational Exponents
  • Exponential Functions
  • Exponential Growth and Decay
  • Solving Exponential Equations
  • Geometric Sequences
  • Recursively Defined Sequences

 Polynomial Equations and Factoring

  • Adding and Subtracting Polynomials
  • Multiplying Polynomials
  • Special Products of Polynomials
  • Solving Polynomial Equations in Factored Form
  • Factoring x^2 + bx + c
  • Factoring ax^2 + bx + c
  • Factoring Special Products
  • Factoring Polynomials Completely

 Graphing Quadratic Functions

  • Graphing f(x) = ax^2
  • Graphing f(x) = ax^2 + c
  • Graphing f(x) = ax^2 + bx + c
  • Graphing f(x) = a(x – h)^2 + k
  • Using Intercept Form
  • Comparing Linear, Exponential, and Quadratic Functions

 Solving Quadratic Equations

  • Measures of Center and Variation
  • Box-and-Whisker Plots
  • Shapes of Distributions
  • Two-Way Tables
  • Choosing a Data Display

Radical Functions and Equations

  • Graphing Square Root Functions
  • Graphing Cube Root Functions
  • Solving Radical Equations
  • Inverse of a Function

Data Analysis and Displays

  • Measures of Center and Variation
  • Box-and-Whisker Plots
  • Shapes of Distributions
  • Two-Way Tables
  • Choosing a Data Display

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Algebra 1 Help Room

Each week, all active students are invited to an open Algebra 1 Help Room, which is led by a rotating staff of instructors. Students are encouraged to come with questions or just to meet other online students. Topics reviewed vary each week. 

The Algebra 1 Help Room meets each Tuesday from 7 – 8 p.m. ET. 

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 which can be used for instructor-student communication if the student has any questions about the course or curriculum. The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app. Students will need a computer with the Zoom desktop client installed to watch any 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.