Algebra I Fundamentals

This 8-week program is designed to bridge the fundamental gaps and lay a firm foundation of essentials upon which the student’s Algebra I course will build upon next school year.

Week One - Basics of Integers and Expressions

Integers
- Number Sets
- Adding Positive and Negative Numbers
- Adding and Subtracting Positive and Negative Numbers
- Multiplying and Dividing Positives and Negatives
- Order of Operations
- Percent of Change
Expressions
- Variable and Verbal Expressions
- Evaluating Expressions
- Using the Distributive Property
- Combining Like Terms

Week Two - Equations Part 1

One-Step Equations
Two-Step Equations
Solving Proportions
Percent Problems
Literal Equations
Multi-Step Equations

Week Three - Equations Part 2

Advanced Equations
- Absolute Value Equations
- Radical Equations
- Solving Rational Equations
Word Problems
- Distance - Rate - Time Word Problems
- Mixture Word Problems
- Work Word Problems

Week Four - Inequalities

Graphing Inequalities
One-Step Inequalities
Two-Step Inequalities
Multi-Step Inequalities
Compound Inequalities
Absolute Value Inequalities

Week Five - Linear Equations and Inequalities

Discrete and Continuous Relations
Evaluating and Graphing Functions
Slope
- From a Graph
- From Two Points
- From an Equation
Writing Linear Equations
- Slope-Intercept Form
- Standard Form
- Point-Slope Form
Graphing
- Lines
- Inequalities
- Absolute Value Functions
Direct Variation

Week Six - Systems of Equations

Solving Systems of Equations
- By Graphing
- By Elimination
- By Substitution
Systems of Equations Word Problems
Solving Systems of Inequalities

Week Seven - Exponents

Properties of Exponents
Scientific Notation
- Writing Scientific Notation
- Operations with Scientific Notation
- Addition and Subtraction of Scientific Notation
Exponential Functions
Discrete Exponential Growth and Decay

Week Eight - Polynomials

Naming Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
- Regular Cases
- Special Cases
Factoring Trinomials
- a=1
- a>1
Factoring Special Cases
Factoring By Grouping
Dividing Polynomials

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