Pengi Math (Grade 4) — Lessons, Skills & Practice | Pengi

Pengi Math (Grade 4) is a comprehensive fourth-grade mathematics textbook designed to build strong numeracy foundations across core elementary math topics. The curriculum covers place value, estimation, and multi-step problem solving alongside in-depth units on multiplication and division strategies, factors, multiples, and patterns. Students also develop a solid understanding of fractions and fraction operations, explore the connections between fractions and decimals, and apply measurement and data skills to real-world math situations.

Pengi Math (Grade 4) covers 9 chapters and 44 lessons on Pengi.

Pengi Math (Grade 4) textbook table of contents

Chapter 1: Place Value Fundamentals and Estimation

  • Lesson 1: The Base-Ten System's Ten-Times RelationshipLearnPractice
  • Lesson 2: Reading and Writing Large NumbersLearnPractice
  • Lesson 3: Representing Multi-Digit Numbers in Different FormsLearnPractice
  • Lesson 4: Comparing Multi-Digit Numbers Place by PlaceLearnPractice
  • Lesson 5: Comparing and Ordering Numbers in Various FormsLearnPractice
  • Lesson 6: Rounding Multi-Digit Numbers to Any Place ValueLearnPractice
  • Lesson 7: Estimation for Sums, Differences, and ReasonablenessLearnPractice

Chapter 2: Algorithms, Fluency, and Multi-Step Problem Solving

  • Lesson 1: Standard Addition Algorithm and RegroupingLearnPractice
  • Lesson 2: Standard Subtraction Algorithm and DecompositionLearnPractice
  • Lesson 3: Subtraction Across Zeros and VerificationLearnPractice
  • Lesson 4: Modeling Addition, Subtraction, and Comparison with Tape DiagramsLearnPractice
  • Lesson 5: Multi-Step Problem Solving and Assessing ReasonablenessLearnPractice

Chapter 3: Understanding Multiplication and Division

Chapter 4: Multiplication & Division Strategies

Chapter 5: Factors, Multiples, and Patterns

Chapter 6: Understanding Fractions

Chapter 7: Fraction Operations

Chapter 8: Decimals & Fraction Connections

Chapter 9: Measurement, Data & Real-World Math

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