Eureka Math, Grade 5 — Lessons, Skills & Practice | Pengi

Eureka Math Grade 5, published by Great Minds, is a rigorous fifth-grade mathematics curriculum that builds deep number sense and problem-solving fluency across core topics including multi-digit whole number and decimal multiplication and division, fractions, and measurement. Students explore place value patterns, operations with decimals, fraction equivalence, multiplication and division of fractions, and foundational geometry concepts such as coordinate systems, two-dimensional shapes, and volume. The program also introduces algebraic thinking through numerical expressions, scaling, and graphing patterns in the coordinate plane, preparing students for the transition to middle school mathematics.

Eureka Math, Grade 5 covers 26 chapters and 94 lessons on Pengi.

Eureka Math, Grade 5 textbook table of contents

Chapter 1: Multiplicative Patterns on the Place Value Chart

  • Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths.LearnPractice
  • Lesson 2: Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths.LearnPractice
  • Lesson 3: Use exponents to name place value units, and explain patterns in the placement of the decimal point.LearnPractice
  • Lesson 4: Use exponents to denote powers of 10 with application to metric conversions.LearnPractice

Chapter 2: Decimal Fractions and Place Value Patterns

  • Lesson 1: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning.LearnPractice
  • Lesson 2: Compare decimal fractions to the thousandths using like units, and express comparisons with >, <, =.LearnPractice

Chapter 3: Place Value and Rounding Decimal Fractions

  • Lesson 1: Round a given decimal to any place using place value understanding and the vertical number line.LearnPractice
  • Lesson 2: Round a given decimal to any place using place value understanding and the vertical number line.LearnPractice

Chapter 4: Adding and Subtracting Decimals

  • Lesson 1: Add decimals using place value strategies, and relate those strategies to a written method.LearnPractice
  • Lesson 2: Subtract decimals using place value strategies, and relate those strategies to a written method.LearnPractice

Chapter 5: Multiplying Decimals

  • Lesson 1: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.LearnPractice
  • Lesson 2: Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point.LearnPractice

Chapter 6: Dividing Decimals

  • Lesson 1: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.LearnPractice
  • Lesson 2: Divide decimals with a remainder using place value understanding and relate to a written method.LearnPractice
  • Lesson 3: Divide decimals using place value understanding, including remainders in the smallest unit.LearnPractice
  • Lesson 4: Solve word problems using decimal operations.LearnPractice

Chapter 7: Mental Strategies for Multi-Digit Whole Number Multiplication

  • Lesson 1: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.LearnPractice
  • Lesson 2: Estimate multi-digit products by rounding factors to a basic fact and using place value patterns.LearnPractice

Chapter 8: The Standard Algorithm for Multi-Digit Whole Number Multiplication

  • Lesson 1: Write and interpret numerical expressions, and compare expressions using a visual model.LearnPractice
  • Lesson 2: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication.LearnPractice
  • Lesson 3: Connect visual models and the distributive property to partial products of the standard algorithm without renaming.LearnPractice
  • Lesson 4: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product.LearnPractice
  • Lesson 5: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems.LearnPractice
  • Lesson 6: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product.LearnPractice
  • Lesson 7: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems.LearnPractice

Chapter 9: Decimal Multi-Digit Multiplication

  • Lesson 1: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.LearnPractice
  • Lesson 2: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal.LearnPractice
  • Lesson 3: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation.LearnPractice

Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

  • Lesson 1: Use whole number multiplication to express equivalent measurements.LearnPractice
  • Lesson 2: Use fraction and decimal multiplication to express equivalent measurements.LearnPractice
  • Lesson 3: Solve two-step word problems involving measurement conversions.LearnPractice

Chapter 11: Mental Strategies for Multi-Digit Whole Number Division

  • Lesson 1: Use divide by 10 patterns for multi-digit whole number division.LearnPractice
  • Lesson 2: Use basic facts to approximate quotients with two-digit divisors.LearnPractice
  • Lesson 3: Use basic facts to approximate quotients with two-digit divisors.LearnPractice

Chapter 12: Partial Quotients and Multi-Digit Whole Number Division

  • Lesson 1: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients, and make connections to a written method.LearnPractice
  • Lesson 2: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients, and make connections to a written method.LearnPractice
  • Lesson 3: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients, and make connections to a written method.LearnPractice
  • Lesson 4: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.LearnPractice
  • Lesson 5: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.LearnPractice

Chapter 13: Partial Quotients and Multi-Digit Decimal Division

  • Lesson 1: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.LearnPractice
  • Lesson 2: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point.LearnPractice
  • Lesson 3: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.LearnPractice
  • Lesson 4: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.LearnPractice

Chapter 14: Measurement Word Problems with Multi-Digit Division

  • Lesson 1: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown.LearnPractice
  • Lesson 2: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown.LearnPractice

Chapter 15: Equivalent Fractions

  • Lesson 1: Make equivalent fractions with the number line, the area model, and numbers.LearnPractice
  • Lesson 2: Make equivalent fractions with sums of fractions with like denominators.LearnPractice

Chapter 16: Making Like Units Pictorially

  • Lesson 1: Add fractions with unlike units using the strategy of creating equivalent fractions.LearnPractice
  • Lesson 2: Add fractions with sums between 1 and 2.LearnPractice
  • Lesson 3: Subtract fractions with unlike units using the strategy of creating equivalent fractions.LearnPractice
  • Lesson 4: Subtract fractions from numbers between 1 and 2.LearnPractice
  • Lesson 5: Solve two-step word problems.LearnPractice

Chapter 17: Making Like Units Numerically

  • Lesson 1: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.LearnPractice
  • Lesson 2: Add fractions making like units numerically.LearnPractice
  • Lesson 3: Add fractions with sums greater than 2.LearnPractice
  • Lesson 4: Subtract fractions with unlike units using the strategy of creating equivalent fractions.LearnPractice
  • Lesson 5: Subtract fractions greater than or equal to 1.LearnPractice

Chapter 18: Further Applications

  • Lesson 1: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations.LearnPractice
  • Lesson 2: Strategize to solve multi-term problems.LearnPractice
  • Lesson 3: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.LearnPractice
  • Lesson 4: Explore part-to-whole relationships.LearnPractice

Chapter 19: Line Plots of Fraction Measurements

  • Lesson 1: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots.LearnPractice

Chapter 20: Fractions as Division

  • Lesson 1: Interpret a fraction as division.LearnPractice
  • Lesson 2: Interpret a fraction as division.LearnPractice
  • Lesson 3: Use tape diagrams to model fractions as division.LearnPractice
  • Lesson 4: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.LearnPractice

Chapter 21: Multiplication of a Whole Number by a Fraction

  • Lesson 1: Relate fractions as division to fraction of a set.LearnPractice
  • Lesson 2: Multiply any whole number by a fraction using tape diagrams.LearnPractice
  • Lesson 3: Relate a fraction of a set to the repeated addition interpretation of fraction multiplication.LearnPractice
  • Lesson 4: Find a fraction of a measurement, and solve word problems.LearnPractice

Chapter 22: Fraction Expressions and Word Problems

  • Lesson 1: Compare and evaluate expressions with parentheses.LearnPractice
  • Lesson 2: Solve and create fraction word problems involving addition, subtraction, and multiplication.LearnPractice
  • Lesson 3: Solve and create fraction word problems involving addition, subtraction, and multiplication.LearnPractice

Chapter 23: Multiplication of a Fraction by a Fraction

  • Lesson 1: Multiply unit fractions by unit fractions.LearnPractice
  • Lesson 2: Multiply unit fractions by non-unit fractions.LearnPractice
  • Lesson 3: Multiply non-unit fractions by non-unit fractions.LearnPractice
  • Lesson 4: Solve word problems using tape diagrams and fraction-by-fraction multiplication.LearnPractice
  • Lesson 5: Relate decimal and fraction multiplication.LearnPractice
  • Lesson 6: Relate decimal and fraction multiplication.LearnPractice
  • Lesson 7: Convert measures involving whole numbers, and solve multi-step word problems.LearnPractice
  • Lesson 8: Convert mixed unit measurements, and solve multi-step word problems.LearnPractice

Chapter 24: Multiplication with Fractions and Decimals as Scaling and Word Problems

  • Lesson 1: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.LearnPractice
  • Lesson 2: Compare the size of the product to the size of the factors.LearnPractice
  • Lesson 3: Compare the size of the product to the size of the factors.LearnPractice
  • Lesson 4: Solve word problems using fraction and decimal multiplication.LearnPractice

Chapter 25: Division of Fractions and Decimal Fractions

  • Lesson 1: Divide a whole number by a unit fraction.LearnPractice
  • Lesson 2: Divide a unit fraction by a whole number.LearnPractice
  • Lesson 3: Solve problems involving fraction division.LearnPractice
  • Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.LearnPractice
  • Lesson 5: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.LearnPractice
  • Lesson 6: Divide decimal dividends by non-unit decimal divisors.LearnPractice
  • Lesson 7: Divide decimal dividends by non-unit decimal divisors.LearnPractice

Chapter 26: Interpretation of Numerical Expressions

  • Lesson 1: Interpret and evaluate numerical expressions including the language of scaling and fraction division.LearnPractice
  • Lesson 2: Create story contexts for numerical expressions and tape diagrams, and solve word problems.LearnPractice

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