Honors Algebra I

CTY Online Courses
CTY Online courses
Courses Offered
Mathematics	Accelerated Grade 1 Mathematics | Accelerated Grade 2 Mathematics | Accelerated Grade 3 Mathematics | Problem Solving in Arithmetic | Problem Solving in Pre-algebra | Problem Solving in Algebra I, Part I | Problem Solving in Algebra I, Part II | Problem Solving in Geometry | Introduction to Chess | Cryptography: Math and Codes | Math Olympiad for Elementary School Students | MATHCOUNTS Prep | MATHCOUNTS | Competitive Mathematics Prep | Competitive Mathematics for High School Students | Honors Grade 4 Mathematics | Honors Grade 5 Mathematics | Honors Pre-Algebra | Honors Algebra I | Honors Geometry | Honors Algebra II | Honors Trigonometry | Honors Precalculus | AP Calculus AB | AP Calculus BC | AP Calculus C | AP Statistics | Linear Algebra | Multivariable Calculus | Differential Equations | Introduction to Abstract Mathematics | Introduction to Real Analysis | Introduction to Complex Analysis
Computer Science and Technology	Scratch Programming for Elementary Students | Scratch Programming for Middle School Students | Advanced Scratch Programming | Introduction to Web Design | Advanced Web Design | JavaScript | Introduction to Java | Advanced Java Programming | AP Computer Science A
Science	Inventions in Engineering for Young Students | Introduction to Forensics | Earth and Space Science | Life Science | Physical Science | Honors Chemistry | Honors Biology | Honors Physics | AP Biology | AP Chemistry | AP Physics 1 | AP Physics 2 |
Critical Reading	Dragon Tales | Good Dogs | Mystery Stories | Ancient Egypt Rediscovered | Quests and Challenges | Magical Life Lesssons | Greek Myths Revisited | Robot Encounters | Wild Things | In Search Of | The Right Stuff | Dangerous Games and Rebellions | Monsters, Magic, and Mayhem | A Study of Sherlock | Art Meets Science: Nonfiction | Art Meets Science: Literature
Writing	Building Blocks | Grammar FUNdamentals | From Structure to Style | The Process of Writing | Writing for an Audience | Crafting the Essay | Writing Analysis and Persuasion | Crafting Poetry | Crafting Fiction | AP English Language and Composition
English Language Learning	Vocabulary, Grammar, and Writing Using STEM Essay Writing Using STEM | Crafting the Essay for English Language Learners
Visual Fluency	Visual Literacy | Visual Communication
Music Theory	Mastering the Fundamentals of Music
World Languages	Arabic for Elementary School Students | Arabic Language | Arabic Readers' Workshop | Chinese for Elementary School Students | Chinese Language | Chinese Readers' Workshop | Chinese Essay Writing | AP Chinese Language and Culture | Spanish Language for Elementary Students | Spanish Language | Spanish Language Essay Writing | AP Spanish Language and Culture | AP Spanish Literature and Culture | Spanish Readers' Workshop | Spanish Literature Readers' Workshop
History and Social Studies	AP Macroeconomics | AP Microeconomics | AP Psychology | AP United States Governmnent and Politics | AP United States History

Honors Algebra I is a CTY Online course for students who have qualifying scores in math from the SCAT or SAT and have completed Pre-Algebra or equivalent. Thew course takes about 6 months and its course code is AL1.

Course Description

From the CTY Online catalog:

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

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