Algebra 1 Made Simple!

Looks like you've provided a comprehensive outline for an Algebra 1 course, covering a wide range of topics from solving inequalities to working with radicals and polynomials. This course structure is well-organized and follows a logical progression from foundational concepts to more complex ideas. Here's a brief overview of what each section of the course entails:

S06- Solving and Graphing Linear Inequalities

• Solving inequalities through addition or subtraction (S06 L01)
• Solving inequalities through multiplication or division (S06 L02)
• Addressing more complex multi-step inequalities (S06 L03)
• Handling compound inequalities involving "and" (S06 L04)
• Dealing with compound inequalities involving "or" (S06 L05)
• Solving absolute-value equations (S06 L06)
• Analyzing and graphing absolute-value inequalities (S06 L07)
• Graphing linear inequalities in two variables (S06 L08)

S07- Systems of Linear Equations and Inequalities

• Visualizing the solutions to linear systems through graphing (S07 L01)
• Solving systems by substitution or linear combinations (S07 L02 and S07 L03)
• Exploring the implications of linear systems in real-world contexts (S07 L04)
• Investigating special types of linear systems (S07 L05)
• Solving systems involving linear inequalities (S07 L06)

S08- Exponents and Exponential Functions

• Exploring the properties of exponents, including zero and negative exponents (S08 L01 to S08 L02)
• Understanding the graphs and behavior of exponential functions (S08 L03)
• Diving into division properties of exponents (S08 L04)
• Learning scientific notation (S08 L05)
• Exploring applications of exponentials like growth and decay (S08 L06 and S08 L07)

S09- Quadratic Equations and Functions

• Solving quadratic equations by finding square roots (S09 L01)
• Simplifying radicals (S09 L02)
• Graphing quadratic functions and identifying their characteristics (S09 L03)
• Solving quadratic equations by graphing or the quadratic formula (S09 L04 to S09 L06)
• Understanding the discriminant in solving quadratics (S09 L07)
• Graphing quadratic inequalities (S09 L08)

S10- Polynomials and Factoring

• Simplifying rational expressions (S11 L03 to S11 L05)
• Solving rational equations (S11 L07)
• Working with radicals, including square roots (S12 L01 to S12 L03)
• Completing the square for solving equations (S12 L05)
• Using the distance and midpoint formulas in geometry (S12 L06)

This course is designed to build a solid foundation in algebraic concepts, with each topic building upon the previous ones. By the end of this course, students should be well-prepared for more advanced mathematics. If you're looking to enroll or teach this course, it's clear that the material is structured to facilitate learning and understanding through a series of logical steps and real-world applications.