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Honors Algebra I

Prerequisites: Qualifying math score and completion of Pre-algebra or the equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: One academic year

Course Code: AL1

Course Description

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, 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 a CTY instructor to help them during their course. Students can contact their instructors 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 concepts from Pre-algebra
  • The Structure and Properties of the Real Numbers
  • Linear Equations and Inequalties
  • Polynomials
  • Rational Expressions
  • Roots and Radicals
  • Relations and Functions
  • Exponential Functions
  • Quadratic Equations and Inequalities
  • Systems of Equations
  • Data Analysis and Probability

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

Honors Alg 1 Banner

Materials Needed

A graphing calculator is recommended. 

List of Topics

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

The Real Numbers

  • Properties of Real Numbers
  • Operations on Real Number
  • Equations in One Variable
  • Applications of Equations Using Formulas
  • Rewriting Equations and Formulas
  • Inequalities in One Variable
  • Compound Inequalities
  • Absolute Value
  • Absolute Value Equations
  • Absolute Value Inequalities

Graphing and Linear Equations

  • The Rectangular Coordinate System
  • Distance, Midpoint, and Circle Equations
  • The Slope of a Line
  • Graphing Linear Equations
  • Writing Linear Equations
  • Applications of Linear Concepts
  • Fit a Line to Data
  • Inequalities in Two Variables

Polynomials

  • Polynomial Basics
  • Techniques for Multiplying Polynomials
  • Techniques for Factoring
  • Special Factoring
  • Solving Equations by Factoring
  • Division of Polynomials

Rational Expressions

  • The Basics of Rational Expressions
  • Operations with Rational Expressions
  • Equations with Rational Expressions
  • Applications
  • Variation

Roots and Radicals

  • Rational Exponents and Radicals
  • Simplifying Radical Expressions
  • Operations with Radical Expressions
  • Equations with Radicals
  • Square Roots and Irrational Numbers
  • Complex Numbers
  • Applications

Relations and Functions

  • An Introduction to Functions
  • Functions, Tables, and Graphs
  • Working with Functions
  • Domain and Range
  • Graphing Important Functions
  • Even and Odd Functions and Symmetry
  • Inverse Linear Functions

Exponential Functions

  • Understanding Exponents
  • Define and Use Zero and Negative Exponents
  • Exponential Functions
  • Applying Exponential Functions
  • Relate Geometric Sequences to Exponential Functions
  • The Problem with Zero

Quadratic Equations and Inequalities

  • The Basics of Quadratics
  • Graphs of Quadratics
  • Solving by Completing the Square
  • Writing Quadratic Equations
  • Solving with the Quadratic Formula
  • Solving Quadratic Equations and Inequalities by Graphing
  • Equations Quadratic in Form
  • Formulas and Applications

Systems of Equations

  • Linear Systems in Two Variables
  • Linear Systems in Three Variables
  • Applications of Linear Systems
  • More Applications of Systems of Equations
  • Working with Systems of Inequalities
  • Non-Linear Systems of Equations
  • Regression

Data Analysis and Probability

  • Analyze Surveys and Samples
  • Use Measures of Central Tendency and Dispersion
  • Analyze Data
  • Interpret Stem and Leaf Plots and Histograms
  • Interpret Box-and-Whisker Plots
  • Find Probabilities and Odds
  • Find Probabilities Using Permutations and Combinations
  • Find Probabilities of Disjoint and Overlapping Events
  • Find Probabilities of Independent and Dependent Events
  • Making Good Graphs

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System Requirements

This course requires 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. Note that many tablets or handhelds (particularly the iPad) do not support Flash and cannot view the lessons.

Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

You may also need the Java Runtime Environment.

Headphones and a microphone are recommended to facilitate more dynamic, interactive, and efficient interactions with the instructor within the virtual classroom.

Sample Video Lecture

Sample Video

This demo requires the Flash plugin.

Algebra I Demo