Honors Algebra I
Honors Algebra I is a [[CTy Online course for studetns 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.
Contents
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
List of 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
