Pengi Math (Grade 8), published by an independent curriculum provider, is a comprehensive eighth-grade mathematics textbook designed to build algebraic reasoning, number sense, and geometric thinking. The text covers the real number system, exponents and scientific notation, solving and graphing linear equations, systems of linear equations, and an introduction to functions, alongside geometry topics including the Pythagorean theorem, volume, and geometric transformations and similarity. Data analysis and visual displays round out the curriculum, giving students a well-balanced foundation for high school mathematics.

Pengi Math (Grade 8) textbook table of contents

Chapter 1: The Real Number System

Lesson 1: Rational Numbers and Decimal ExpansionsLearn Practice
Lesson 2: Converting Repeating Decimals to FractionsLearn Practice
Lesson 3: Identifying Irrational NumbersLearn Practice
Lesson 4: Comparing and Ordering Real NumbersLearn Practice

Chapter 2: Exponents, Radicals, and Scientific Notation

Lesson 1: Integer Exponents and PropertiesLearn Practice
Lesson 2: Exponent Properties: Products, Quotients, and PowersLearn Practice
Lesson 3: Square Roots and Cube RootsLearn Practice
Lesson 4: Applications and Approximations of Square RootsLearn Practice
Lesson 5: Introduction to Scientific NotationLearn Practice
Lesson 6: Operations with Scientific NotationLearn Practice

Chapter 3: Solving Linear Equations

Lesson 1: Simplifying and Solving One-Step & Multi-Step EquationsLearn Practice
Lesson 2: Solving Equations with Variables on Both SidesLearn Practice
Lesson 3: Equations with Rational Coefficients (Fractions and Decimals)Learn Practice
Lesson 4: Analyzing Number of Solutions (One, None, Infinite)Learn Practice
Lesson 5: Literal Equations and Real-World ApplicationsLearn Practice

Chapter 4: Systems of Linear Equations

Lesson 1: Introduction to Systems and Solving by GraphingLearn Practice
Lesson 2: Solving Systems by SubstitutionLearn Practice
Lesson 3: Solving Systems by EliminationLearn Practice
Lesson 4: Number of Solutions and Special CasesLearn Practice
Lesson 5: Real-World Applications of Linear SystemsLearn Practice

Chapter 5: Functions

Lesson 1: Understanding Relations and FunctionsLearn Practice
Lesson 2: Linear Functions and SlopeLearn Practice
Lesson 3: Constructing and Representing Linear FunctionsLearn Practice
Lesson 4: Comparing Functions and Identifying NonlinearityLearn Practice
Lesson 5: Analyzing and Sketching Graphs of FunctionsLearn Practice

Chapter 6: Geometric Transformations and Similarity

Lesson 1: Introduction to Transformations and TranslationsLearn Practice
Lesson 2: Reflections on the Coordinate PlaneLearn Practice
Lesson 3: Rotations and Coordinate RulesLearn Practice
Lesson 4: Congruence via Rigid TransformationsLearn Practice
Lesson 5: Solving for Unknown Measures in Congruent FiguresLearn Practice
Lesson 6: Dilations and Scale FactorsLearn Practice
Lesson 7: Similar FiguresLearn Practice
Lesson 8: Angle Relationships, Similarity, and ApplicationsLearn Practice

Chapter 7: The Pythagorean Theorem and Volume

Lesson 1: Understanding and Proving the Pythagorean TheoremLearn Practice
Lesson 2: Solving Problems Using the Pythagorean TheoremLearn Practice
Lesson 3: Distance on the Coordinate PlaneLearn Practice
Lesson 4: Volume of Cylinders and ConesLearn Practice
Lesson 5: Volume of Spheres and Composite SolidsLearn Practice

Chapter 8: Data Analysis and Displays

Lesson 1: Scatter Plots and Bivariate DataLearn Practice
Lesson 2: Analyzing Patterns and AssociationsLearn Practice
Lesson 3: Trend Lines and Linear ModelsLearn Practice
Lesson 4: Interpreting Linear Models and PredictionsLearn Practice
Lesson 5: Two-Way Tables and Categorical DataLearn Practice

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Pengi Math (Grade 8) — Lessons, Skills & Practice | Pengi