T+ Mr. Psaradelis TOWER SCHOOL · GRADES 6–8
GRADE 7

Accelerated Mathematics

Investigate integer and rational-number relationships, then use them to solve unfamiliar problems.

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 1Integers5 lessons with resources
1.1 Integers and Absolute Value
Lesson PDFAoPS PDF
1.2 Adding Integers
Lesson PDFAoPS PDF
1.3 Subtracting Integers
Lesson PDFAoPS PDF
1.4 Multiplying Integers
Lesson PDFAoPS PDF
1.5 Dividing Integers
Lesson PDFAoPS PDF
Chapter resourcesChapter practice · PDFBinder checklist · PDFCumulative review · PDFPractice test · PDF
Chapter 2Rational Numbers4 lessons with resources
2.1 Rational Numbers
Lesson PDFAoPS PDF
2.2 Adding Rational Numbers
Lesson PDFAoPS PDF
2.3 Subtracting Rational Numbers
Lesson PDFAoPS PDF
2.4 Multiplying and Dividing Rational Numbers
Lesson PDFAoPS PDF
Chapter resourcesBinder checklist · PDFCumulative review · PDFPractice test · PDF
Chapter 3Expressions4 lessons with resources
3.1 Algebraic Expressions
Lesson PDFPractice PDFAoPS PDF
3.2 Adding and Subtracting Linear Expressions
Lesson PDFPractice PDFAoPS PDF
3.3 The Distributive Property
Lesson PDFPractice PDFAoPS PDF
3.4 Factoring Expressions
Lesson PDFPractice PDFAoPS PDF
Chapter resourcesPractice test · PDFCumulative review · PDFBinder checklist · PDF
Chapter 4Equations and Inequalities7 lessons with resources
4.1 Solving Equations Using Addition or Subtraction
Lesson PDFPractice PDFAoPS PDF
4.2 Solving Equations Using Multiplication or Division
Lesson PDFPractice PDFAoPS PDF
4.3 Solving Two-Step Equations
Lesson PDFPractice PDFAoPS PDF
4.4 Writing and Graphing Inequalities
Lesson PDFPractice PDFAoPS PDF
4.5 Solving Inequalities Using Addition or Subtraction
Lesson PDFPractice PDFAoPS PDF
4.6 Solving Inequalities Using Multiplication or Division
Lesson PDFPractice PDFAoPS PDF
4.7 Solving Two-Step Inequalities
Lesson PDFPractice PDFAoPS PDF
Chapter resourcesCumulative review · PDFPractice test · PDFBinder table of contents · PDF
Chapter 5Ratios and ProportionsMaterials to be added

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

Chapter 6PercentsMaterials to be added

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

Chapter 7ProbabilityMaterials to be added

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

Chapter 8StatisticsMaterials to be added

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

Chapter 9Geometric Shapes and AnglesMaterials to be added

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

Chapter 10Surface Area and VolumeMaterials to be added

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

Chapter 11TransformationsMaterials to be added

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

Chapter 12Angles and TrianglesMaterials to be added

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

Chapter 13Graphing and Writing Linear EquationsMaterials to be added

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

Chapter 14Exponents and Scientific NotationMaterials to be added

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

Chapter 15Real Numbers and the Pythagorean TheoremMaterials to be added

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

Chapter 16Volume and Similar SolidsMaterials 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 7 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