Honors Algebra I (NCAA Approved)

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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 are expected to watch videos and review notes regularly. Each student is assigned to a CTY instructor to help them during their course. Videos in the course are provided by Thinkwell.

In this course, participation in forums and synchronous online virtual sessions are required as part of the final grade. Discussion forums are located within the course where students will be required to respond to a given prompt and then comment on responses by other students. Online sessions, led by a CTY instructor, are held in Adobe Connect, which allows for video, voice, text, screen sharing, and whiteboard interaction.

Students can contact their instructors via email with 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.

Topics include:

• Review of concepts from pre-algebra
• The structure and properties of the real numbers
• Linear equations and inequalities
• 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.

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:

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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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.

Sample Video Lecture

Sample Video