What are you going to learn?
Content
Algebra I introduces students to variables, algebraic expressions, equations, inequalities, functions, and all their multiple representations. In this class, students will develop the ability to explore and solve real-world application problems, demonstrate the appropriate use of graphing calculators, and communicate mathematical ideas clearly. This course lays the foundation for mathematical literacy that will help students be successful in every subsequent course in mathematics.
Chapter 1. An Introduction to Algebra
Whole and Integer Numbers. Operations
Fractions and Operations. Least CommonMultiple (LCM)
Prime Numbers and the Greatest Common Factor (GCF)
The Real Numbers, Operations and its Properties
Exponents and Order of Operations
Translating and Evaluating Algebraic Expressions
Introduction to Polynomials
Combining Like Terms
Addition and Subtraction of Polynomials
Exponent Rules. Multiplying Polynomials
Factoring Polynomials
Applications
Chapter 2. Expressions and Polynomials
Chapter 3. Identities, Equations, and Inequalities
Introduction
Linear Equations with one Variable and Their Solutions
The Addition Principle of Equalities
The Multiplication Principle of Equalities
Translating Word Problems Into Equations
Linear Inequalities and their Solutions
Applications
Chapter 4. Rational Expressions
Addition and Subtraction of Rational Expression. LCM
Multiplication and Division of Rational Expressions
Simplifying Complex Rational Expressions
Order of Operations
Solving Equations with Rational Expressions
Applications
Chapter 5. Exponential and Logarithmic Functions
Composite Functions and Inverse Functions
Exponential Functions
Logarithmic Functions
Common Logarithms and Natural Logarithms
Exponential and Logarithmic Equations
Applications
Chapter 6. Conic Sections and More Graphing
Conic Sections: Parabola, Circles, and Ellipses
Conic Sections: Hyperbolas
The focus, Directrix properties of Conics
The Conics in Polar Coordinates
Rotation of Axis
Chapter 7. Systems of Equations and Inequalities with Three Variables
Data Collection
Probability Distributions
Statistical Decision Making
Variables Relationships
Statistical Process Control (SPC)
Process and Performance Capability
Design and Analysis of Experiments
Chapter 8. Sequences and Series.The Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Bibliography
Tussy, A., and R. David Gustafson(2009). Elementary & Intermediate Algebra. 4th Ed. Engage Learning. Belmont, USA.
Lial, M. et al (2012). Beginning Algebra. 9th Ed. Pearson Education, Inc. Boston, USA.
Lial, Hornsby, Schneider, Daniels. Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution.1st ed.; Pearson
Webgraphy
https://openstax.org/subjects/math College Algebra (2nd edition) by Jay Abramson (OpenStax.org).
