Pengi Math (Grade 7), published by Pengi, is a seventh-grade mathematics textbook covering the full range of middle school math concepts aligned with grade-level standards. The curriculum spans number systems including integers and rational numbers, ratios and proportional relationships, percents and financial applications, algebraic expressions, equations and inequalities, two-dimensional geometry and measurement, geometric figures and scale drawings, and data analysis through statistics, sampling, probability models, and compound events. This comprehensive course builds foundational skills in algebra and quantitative reasoning to prepare students for advanced mathematical study.

Pengi Math (Grade 7) textbook table of contents

Chapter 1: The Integer System and Operations

Lesson 1: Integers, Opposites, and Absolute ValueLearn Practice
Lesson 2: Adding IntegersLearn Practice
Lesson 3: Subtracting IntegersLearn Practice
Lesson 4: Multiplying IntegersLearn Practice
Lesson 5: Dividing IntegersLearn Practice
Lesson 6: Solving Real-World Integer ProblemsLearn Practice

Chapter 2: Rational Numbers and Exponents

Lesson 1: Rational Numbers and Decimal ExpansionLearn Practice
Lesson 2: Adding and Subtracting Rational NumbersLearn Practice
Lesson 3: Multiplying and Dividing Rational NumbersLearn Practice
Lesson 4: Introduction to Roots and EstimationLearn Practice
Lesson 5: Exponents and Order of OperationsLearn Practice

Chapter 3: Ratios, Rates, and Proportional Relationships

Lesson 1: Understanding Ratios and Unit RatesLearn Practice
Lesson 2: Identifying Proportional RelationshipsLearn Practice
Lesson 3: The Constant of ProportionalityLearn Practice
Lesson 4: Proportional EquationsLearn Practice
Lesson 5: Solving Proportions and Scale DrawingsLearn Practice

Chapter 4: Percents and Financial Applications

Lesson 1: Understanding PercentsLearn Practice
Lesson 2: Solving Percent ProblemsLearn Practice
Lesson 3: Percent Change and ErrorLearn Practice
Lesson 4: Consumer Math: Taxes, Tips, and DiscountsLearn Practice
Lesson 5: Simple Interest and CommissionLearn Practice

Chapter 5: Algebraic Expressions

Lesson 1: Understanding and Evaluating ExpressionsLearn Practice
Lesson 2: Factoring Algebraic ExpressionsLearn Practice
Lesson 3: Simplifying Expressions by Combining Like TermsLearn Practice
Lesson 4: Expanding Expressions using the Distributive PropertyLearn Practice
Lesson 5: Adding and Subtracting Linear ExpressionsLearn Practice

Chapter 6: Equations and Inequalities

Lesson 1: Solving Two-Step EquationsLearn Practice
Lesson 2: Graphing Solutions of Two-Step EquationsLearn Practice
Lesson 3: Modeling Real-World Problems with EquationsLearn Practice
Lesson 4: Introduction to InequalitiesLearn Practice
Lesson 5: Solving Two-Step InequalitiesLearn Practice

Chapter 7: 2D Geometry and Measurement

Lesson 1: Angle Relationships and ConstructionLearn Practice
Lesson 2: TrianglesLearn Practice
Lesson 3: Exterior Angles and PolygonsLearn Practice
Lesson 4: Circumference of CirclesLearn Practice
Lesson 5: Area of CirclesLearn Practice
Lesson 6: Perimeter and Area of Composite FiguresLearn Practice

Chapter 8: Geometric Figures and Scale Drawings

Lesson 1: Scale Drawings and Scale FactorsLearn Practice
Lesson 2: Similarity and Proportional ReasoningLearn Practice
Lesson 3: Properties of 3D Figures: Prisms and PyramidsLearn Practice
Lesson 4: Volume of Prisms and CylindersLearn Practice

Chapter 9: Statistics - Sampling and Inferences

Lesson 1: Populations, Samples, and Random SamplingLearn Practice
Lesson 2: Making Inferences from DataLearn Practice
Lesson 3: Comparing Data Distributions VisuallyLearn Practice
Lesson 4: Comparing Populations with Measures of CenterLearn Practice
Lesson 5: Comparative Inferences Using Box PlotsLearn Practice

Chapter 10: Probability Models and Compound Events

Lesson 1: Introduction to Probability and LikelihoodLearn Practice
Lesson 2: Theoretical vs. Experimental ProbabilityLearn Practice
Lesson 3: Compound Events: Lists and TablesLearn Practice
Lesson 4: Compound Events: Tree DiagramsLearn Practice
Lesson 5: Designing SimulationsLearn Practice

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Pengi Math (Grade 7) — Lessons, Skills & Practice | Pengi