Pengi Math (Grade 6) is a sixth-grade mathematics textbook published by Pengi that covers a comprehensive range of foundational math topics essential for middle school learners. The curriculum spans rational numbers including whole numbers, fractions, and decimals, factors and multiples, ratios and percents, algebraic expressions and equations, coordinate plane graphing, and geometry. It also introduces students to statistics and probability, building the analytical skills needed for more advanced math in later grades.

Pengi Math (Grade 6) textbook table of contents

Chapter 1: Rational Numbers — Whole Numbers, Fractions, and Decimals

Lesson 1: What Is a Rational Number?Learn Practice
Lesson 2: Whole Numbers, Integers, and OppositesLearn Practice
Lesson 3: Rational Numbers on the Number LineLearn Practice
Lesson 4: Comparing and Ordering Rational NumbersLearn Practice
Lesson 5: Absolute Value as Distance from ZeroLearn Practice
Lesson 6: Operations with Decimals and Whole NumbersLearn Practice
Lesson 7: Divide FractionsLearn Practice
Lesson 8: Connecting Fractions, Decimals, and Real ContextsLearn Practice

Chapter 2: Factors, Multiples, and Number Structure

Lesson 1: Exploring Factors, Multiples, and Number TypesLearn Practice
Lesson 2: Prime Factorization and Special FactorsLearn Practice
Lesson 3: Greatest Common Factor (GCF) and ApplicationsLearn Practice
Lesson 4: Least Common Multiple (LCM) and ApplicationsLearn Practice

Chapter 3: Ratios, Rates, and Percent

Lesson 1: Understanding Ratios and Ratio LanguageLearn Practice
Lesson 2: Equivalent Ratios and ScalingLearn Practice
Lesson 3: Solving Ratio Problems with ModelsLearn Practice
Lesson 4: Rates and Unit RatesLearn Practice
Lesson 5: Comparing Ratios and RatesLearn Practice
Lesson 6: Understanding and Converting PercentsLearn Practice
Lesson 7: Solving Percent ProblemsLearn Practice

Chapter 4: Expressions, Equations, and Patterns

Lesson 1: ExponentsLearn Practice
Lesson 2: Variables, Constants, and Algebraic ExpressionsLearn Practice
Lesson 3: Writing Algebraic Expressions from WordsLearn Practice
Lesson 4: Evaluating Algebraic ExpressionsLearn Practice
Lesson 5: Equivalent Expressions and Properties of OperationsLearn Practice
Lesson 6: Solving One-Step EquationsLearn Practice
Lesson 7: Checking Whether a Value Makes an Equation TrueLearn Practice
Lesson 8: Understanding and Solving InequalitiesLearn Practice
Lesson 9: Patterns, Tables, and Algebraic RulesLearn Practice

Chapter 5: Coordinate Plane & Graphs

Lesson 1: Quadrants, Signs, and Plotting in All Four QuadrantsLearn Practice
Lesson 2: Horizontal & Vertical Distance on the PlaneLearn Practice
Lesson 3: Polygons on the Coordinate PlaneLearn Practice

Chapter 6: Geometry

Lesson 1: Polygons and Their PropertiesLearn Practice
Lesson 2: Area of ParallelogramsLearn Practice
Lesson 3: Area of TrianglesLearn Practice
Lesson 4: Area of TrapezoidsLearn Practice
Lesson 5: Composite and Irregular ShapesLearn Practice
Lesson 6: Polyhedra, Prisms, and PyramidsLearn Practice
Lesson 7: Nets and Surface AreaLearn Practice
Lesson 8: Volume of Rectangular PrismsLearn Practice

Chapter 7: Statistics and Probability

Lesson 1: What Is a Statistical Question?Learn Practice
Lesson 2: Understanding Measures of CenterLearn Practice
Lesson 3: Outliers and Their Impact on DataLearn Practice
Lesson 4: Understanding Variability in DataLearn Practice
Lesson 5: Box Plots and the Five-Number SummaryLearn Practice
Lesson 6: Visualizing Data with Dot Plots and HistogramsLearn Practice
Lesson 7: Analyzing Data Distributions with Dot Plots and HistogramsLearn Practice

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Pengi Math (Grade 6) — Lessons, Skills & Practice | Pengi