T+ Mr. Psaradelis TOWER SCHOOL · GRADES 6–8
GRADE 8

Algebra 1

Connect representations, reason about equations, and explain algebraic relationships.

MATH STUDIO

A new way into the mathematics.

A classroom investigation with models, claims, and revision.

Open investigation
FULL-YEAR COURSE LAYOUT

Chapters and lessons

Open a chapter to see its lesson and resource spaces. Materials will be added as the course develops.

Chapter titles follow the current grade-level Drive folders. Available materials are linked below; later chapters will grow as resources are completed.
Chapter 1Solving Linear Equations4 lessons with resources
1.1 Solving Simple Equations
Lesson PDFAoPS PDF
1.2 Solving Multi-Step Equations
Lesson PDFAoPS PDF
1.3 Solving Equations with Variables on Both Sides
Lesson PDFAoPS PDF
1.4 Rewriting Equations and Formulas
Lesson PDFAoPS PDF
Chapter resourcesBinder checklist · PDFChapter practice · PDFCumulative review · PDFPractice test · PDF
Chapter 2Graphing Linear Equations7 lessons with resources
2.1 Graphing Linear Equations
Lesson PDFAoPS PDF
2.2 Slope of a Line
Lesson PDFAoPS PDF
2.3 Graphing in Slope-Intercept Form
Lesson PDFAoPS PDF
2.4 Graphing in Standard Form
Lesson PDFAoPS PDF
2.5 Writing Equations in Slope-Intercept Form
Lesson PDFAoPS PDF
2.6 Writing Equations in Point-Slope Form
Lesson PDFAoPS PDF
2.7 Solving Real-Life Problems
Lesson PDFAoPS PDF
Chapter resourcesCumulative review · PDFBinder checklist · PDFChapter practice · PDFPractice test · PDF
Chapter 3Solving Linear Inequalities6 lessons with resources
3.1 Writing and Graphing Inequalities
Lesson PDFAoPS PDF
3.2 Solving Inequalities Using Addition or Subtraction
Lesson PDFAoPS PDF
3.3 Solving Inequalities Using Multiplication or Division
Lesson PDFAoPS PDF
3.4 Solving Multi-Step Inequalities
Lesson PDFAoPS PDF
3.5 Solving Compound Inequalities
Lesson PDFAoPS PDF
3.6 Solving Absolute Value Inequalities
Lesson PDFAoPS PDF
Chapter resourcesPractice PDFPractice test · PDFCumulative review · PDFBinder table of contents · PDF
Chapter 4Solving Systems of Linear EquationsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 5Linear FunctionsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 6Exponential Equations and FunctionsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 7Polynomial Equations and FactoringMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 8Graphing Quadratic FunctionsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 9Solving Quadratic EquationsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 10Square Root Functions and GeometryMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 11Rational Equations and FunctionsMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

Chapter 12Data Analysis and DisplaysMaterials to be added

Lessons and companion practice and AoPS materials will be added as they are developed.

YEAR-LONG PROBLEM SOLVING

Problem-Centered Sets

520 problems in 130 spiral sets. Revisit ideas, connect representations, and explain your reasoning throughout the year.

Keep a copy in your binder. Your teacher may assign a complete four-problem set, choose a problem for discussion, or invite you to explore when time allows.

Open Grade 8 Problem-Centered Sets · PDF

A productive routine

Read all four problems. Record attempts and useful mistakes. Compare approaches, then revise after discussion while keeping your earlier thinking visible.

LEARN FROM YOUR ASSESSMENT

Reflect, revise, and try again.

Notice a strength, explain a correction or important decision, and apply the idea to a related problem. Choose one specific next step.

Post-Assessment Reflection · PDF

How reflection fits our learning process