Eureka Math Grade 4, published by Great Minds, is a comprehensive fourth-grade mathematics curriculum that builds deep number sense through topics including place value, multi-digit addition and subtraction, multiplication and division, and metric measurement conversions. The program also develops students' understanding of fractions, covering equivalence, comparison, addition, subtraction, and multiplication of fractions, as well as an introduction to decimals through tenths and hundredths. Geometry concepts such as lines, angles, two-dimensional figures, and symmetry round out the curriculum, giving Grade 4 students a thorough foundation across all core math domains.
Eureka Math, Grade 4 covers 32 chapters and 133 lessons on Pengi.
Eureka Math, Grade 4 textbook table of contents
Chapter 1: Place Value of Multi-Digit Whole Numbers
Lesson 1: Interpret a multiplication equation as a comparison.LearnPractice
Lesson 2: Recognize a digit represents 10 times the value of what it represents in the place to its right.LearnPractice
Lesson 3: Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units.LearnPractice
Lesson 4: Read and write multi-digit numbers using base ten numerals, number names, and expanded form.LearnPractice
Chapter 2: Comparing Multi-Digit Whole Numbers
Lesson 1: Compare numbers based on meanings of the digits using >, <, or = to record the comparison.LearnPractice
Lesson 2: Find 1, 10, and 100 thousand more and less than a given number.LearnPractice
Chapter 3: Rounding Multi-Digit Whole Numbers
Lesson 1: Round multi-digit numbers to the thousands place using the vertical number line.LearnPractice
Lesson 2: Round multi-digit numbers to any place using the vertical number line.LearnPractice
Lesson 3: Use place value understanding to round multi-digit numbers to any place value.LearnPractice
Lesson 4: Use place value understanding to round multi-digit numbers to any place value using real world applications.LearnPractice
Chapter 4: Multi-Digit Whole Number Addition
Lesson 1: Use place value understanding to fluently add multi-digit whole numbers using the standard addition algorithm, and apply the algorithm to solve word problems using tape diagrams.LearnPractice
Lesson 2: Solve multi-step word problems using the standard addition algorithm modeled with tape diagrams, and assess the reasonableness of answers using rounding.LearnPractice
Chapter 5: Multi-Digit Whole Number Subtraction
Lesson 1: Use place value understanding to decompose to smaller units once using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams.LearnPractice
Lesson 2: Use place value understanding to decompose to smaller units up to three times using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams.LearnPractice
Lesson 3: Use place value understanding to fluently decompose to smaller units multiple times in any place using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams.LearnPractice
Lesson 4: Solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams, and assess the reasonableness of answers using rounding.LearnPractice
Chapter 6: Addition and Subtraction Word Problems
Lesson 1: Solve additive compare word problems modeled with tape diagrams.LearnPractice
Lesson 2: Solve multi-step word problems modeled with tape diagrams, and assess the reasonableness of answers using rounding.LearnPractice
Lesson 3: Create and solve multi-step word problems from given tape diagrams and equations.LearnPractice
Chapter 7: Metric Unit Conversions
Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length.LearnPractice
Lesson 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass.LearnPractice
Lesson 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity.LearnPractice
Chapter 8: Application of Metric Unit Conversions
Lesson 1: Know and relate metric units to place value units in order to express measurements in different units.LearnPractice
Lesson 2: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity.LearnPractice
Chapter 9: Multiplicative Comparison Word Problems
Lesson 1: Investigate and use the formulas for area and perimeter of rectangles.LearnPractice
Lesson 2: Solve multiplicative comparison word problems by applying the area and perimeter formulas.LearnPractice
Lesson 3: Demonstrate understanding of area and perimeter formulas by solving multi-step real-world problems.LearnPractice
Chapter 10: Multiplication by 10, 100, and 1,000
Lesson 1: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.LearnPractice
Lesson 2: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.LearnPractice
Lesson 3: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.LearnPractice
Chapter 11: Multiplication of up to Four Digits by Single-Digit Numbers
Lesson 1: Use place value disks to represent two-digit by one-digit multiplication.LearnPractice
Lesson 2: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.LearnPractice
Lesson 3: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.LearnPractice
Lesson 4: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.LearnPractice
Lesson 5: Connect the area model and the partial products method to the standard algorithm.LearnPractice
Chapter 12: Multiplication Word Problems
Lesson 1: Solve two-step word problems, including multiplicative comparison.LearnPractice
Lesson 2: Use multiplication, addition, or subtraction to solve multi-step word problems.LearnPractice
Chapter 13: Division of Tens and Ones with Successive Remainders
Lesson 1: Solve division word problems with remainders.LearnPractice
Lesson 2: Understand and solve division problems with a remainder using the array and area models.LearnPractice
Lesson 3: Understand and solve two-digit dividend division problems with a remainder in the ones place by using place value disks.LearnPractice
Lesson 4: Represent and solve division problems requiring decomposing a remainder in the tens.LearnPractice
Lesson 5: Find whole number quotients and remainders.LearnPractice
Lesson 6: Explain remainders by using place value understanding and models.LearnPractice
Lesson 7: Solve division problems without remainders using the area model.LearnPractice
Lesson 8: Solve division problems with remainders using the area model.LearnPractice
Chapter 14: Reasoning with Divisibility
Lesson 1: Find factor pairs for numbers to 100, and use understanding of factors to define prime and composite.LearnPractice
Lesson 2: Use division and the associative property to test for factors and observe patterns.LearnPractice
Lesson 3: Determine if a whole number is a multiple of another number.LearnPractice
Lesson 4: Explore properties of prime and composite numbers to 100 by using multiples.LearnPractice
Chapter 15: Division of Thousands, Hundreds, Tens, and Ones
Lesson 1: Divide multiples of 10, 100, and 1,000 by single-digit numbers.LearnPractice
Lesson 2: Represent and solve division problems with up to a three-digit dividend numerically and with place value disks requiring decomposing a remainder in the hundreds place.LearnPractice
Lesson 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.LearnPractice
Lesson 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.LearnPractice
Lesson 5: Solve division problems with a zero in the dividend or with a zero in the quotient.LearnPractice
Lesson 6: Interpret division word problems as either number of groups unknown or group size unknown.LearnPractice
Lesson 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.LearnPractice
Lesson 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.LearnPractice
Chapter 16: Multiplication of Two-Digit by Two-Digit Numbers
Lesson 1: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.LearnPractice
Lesson 2: Multiply two-digit multiples of 10 by two-digit numbers using the area model.LearnPractice
Lesson 3: Multiply two-digit by two-digit numbers using four partial products.LearnPractice
Lesson 4: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.LearnPractice
Lesson 5: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.LearnPractice
Chapter 21: Decomposition and Fraction Equivalence
Lesson 1: Decompose fractions as a sum of unit fractions using tape diagrams.LearnPractice
Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams.LearnPractice
Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams.LearnPractice
Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams.LearnPractice
Lesson 5: Decompose unit fractions using area models to show equivalence.LearnPractice
Lesson 6: Decompose fractions using area models to show equivalence.LearnPractice
Chapter 22: Fraction Equivalence Using Multiplication and Division
Lesson 1: Use the area model and multiplication to show the equivalence of two fractions.LearnPractice
Lesson 2: Use the area model and multiplication to show the equivalence of two fractions.LearnPractice
Lesson 3: Use the area model and division to show the equivalence of two fractions.LearnPractice
Lesson 4: Use the area model and division to show the equivalence of two fractions.LearnPractice
Lesson 5: Explain fraction equivalence using a tape diagram and the number line, and relate that to the use of multiplication and division.LearnPractice
Chapter 23: Fraction Comparison
Lesson 1: Reason using benchmarks to compare two fractions on the number line.LearnPractice
Lesson 2: Reason using benchmarks to compare two fractions on the number line.LearnPractice
Lesson 3: Find common units or number of units to compare two fractions.LearnPractice
Lesson 4: Find common units or number of units to compare two fractions.LearnPractice
Chapter 24: Fraction Addition and Subtraction
Lesson 1: Use visual models to add and subtract two fractions with the same units.LearnPractice
Lesson 2: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole.LearnPractice
Lesson 3: Add and subtract more than two fractions.LearnPractice
Lesson 4: Solve word problems involving addition and subtraction of fractions.LearnPractice
Lesson 5: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.LearnPractice
Lesson 6: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.LearnPractice
Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1
Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.LearnPractice
Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.LearnPractice
Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.LearnPractice
Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.LearnPractice
Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.LearnPractice
Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.LearnPractice
Lesson 7: Solve word problems with line plots.LearnPractice
Chapter 26: Addition and Subtraction of Fractions by Decomposition
Lesson 1: Estimate sums and differences using benchmark numbers.LearnPractice
Lesson 2: Add a mixed number and a fraction.LearnPractice
Chapter 27: Repeated Addition of Fractions as Multiplication
Lesson 1: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.LearnPractice
Lesson 2: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.LearnPractice
Lesson 3: Find the product of a whole number and a mixed number using the distributive property.LearnPractice
Lesson 4: Find the product of a whole number and a mixed number using the distributive property.LearnPractice
Lesson 5: Solve multiplicative comparison word problems involving fractions.LearnPractice
Lesson 6: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.LearnPractice
Chapter 28: Exploring a Fraction Pattern
Lesson 1: Find and use a pattern to calculate the sum of all fractional parts between 0 and 1. Share and critique peer strategies.LearnPractice
Chapter 29: Exploration of Tenths
Lesson 1: Use metric measurement to model the decomposition of one whole into tenths.LearnPractice
Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.LearnPractice
Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with place value disks, on the number line, and in expanded form.LearnPractice
Chapter 30: Tenths and Hundredths
Lesson 1: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.LearnPractice
Lesson 2: Model the equivalence of tenths and hundredths using the area model and place value disks.LearnPractice
Lesson 3: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.LearnPractice
Lesson 4: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.LearnPractice
Lesson 5: Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.LearnPractice
Chapter 31: Decimal Comparison
Lesson 1: Use the place value chart and metric measurement to compare decimals and answer comparison questions.LearnPractice
Lesson 2: Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.LearnPractice
Lesson 3: Compare and order mixed numbers in various forms.LearnPractice
Chapter 32: Addition with Tenths and Hundredths
Lesson 1: Apply understanding of fraction equivalence to add tenths and hundredths.LearnPractice
Lesson 2: Add decimal numbers by converting to fraction form.LearnPractice
Lesson 3: Solve word problems involving the addition of measurements in decimal form.LearnPractice
Chapter 33: Money Amounts as Decimal Numbers
Lesson 1: Express money amounts given in various forms as decimal numbers.LearnPractice
Lesson 2: Solve word problems involving money.LearnPractice
Chapter 34: Measurement Conversion Tables
Lesson 1: Create conversion tables for length, weight, and capacity units using measurement tools, and use the tables to solve problems.LearnPractice
Lesson 2: Create conversion tables for length, weight, and capacity units using measurement tools, and use the tables to solve problems.LearnPractice
Lesson 3: Create conversion tables for units of time, and use the tables to solve problems.LearnPractice
Lesson 4: Solve multiplicative comparison word problems using measurement conversion tables.LearnPractice
Lesson 5: Share and critique peer strategies.LearnPractice
Chapter 35: Problem Solving with Measurement
Lesson 1: Solve problems involving mixed units of capacity.LearnPractice
Lesson 2: Solve problems involving mixed units of length.LearnPractice
Lesson 3: Solve problems involving mixed units of weight.LearnPractice
Lesson 4: Solve problems involving mixed units of time.LearnPractice
Lesson 5: Solve multi-step measurement word problems.LearnPractice
Lesson 6: Solve multi-step measurement word problems.LearnPractice
Chapter 36: Investigation of Measurements Expressed as Mixed Numbers
Lesson 1: Use measurement tools to convert mixed number measurements to smaller units.LearnPractice
Lesson 2: Use measurement tools to convert mixed number measurements to smaller units.LearnPractice
Lesson 3: Solve multi-step word problems involving converting mixed number measurements to a single unit.LearnPractice