Eureka Math, Grade 5

In this Grade 5 Eureka Math lesson from Chapter 1, students use place value disks and charts to explore how adjacent base ten units relate to one another across the full range from millions to thousandths. They practice renaming units, multiplying by 10, and reading decimals in unit form (such as "2 tenths" instead of "zero point two") to build connections between whole numbers and decimal fractions. The lesson strengthens understanding of how each place value unit is ten times greater or one-tenth as large as its neighbor.

In this Grade 5 Eureka Math lesson from Chapter 1, students use place value understanding to reason abstractly about how adjacent base ten units relate to each other across the full range from millions to thousandths. Through activities like bundling units, multiplying and dividing by 10, and using a place value chart, students discover that moving one position left makes a unit 10 times larger, while moving one position right makes it one-tenth the size. The lesson builds on concrete place value work introduced in Lesson 1 and strengthens students' fluency with decimal place value concepts.

Grade 5 students learn to use exponents to represent place value units, exploring how repeated multiplication by 10 can be expressed using powers of 10. This Eureka Math lesson builds understanding of the relationship between exponents and place value, including how multiplying or dividing by powers of 10 shifts the decimal point. Students work with a powers of 10 chart and place value models to identify and explain patterns in decimal placement.

In this Grade 5 Eureka Math lesson from Chapter 1, students learn to write powers of 10 using exponents and apply that understanding to metric unit conversions involving kilometers, meters, centimeters, and millimeters. The lesson connects exponential notation to place value, helping students see how multiplying and dividing by powers of 10 explains the relationships between metric units. Students practice converting between units such as millimeters, centimeters, and meters using their knowledge of 10², 10³, and other exponential forms.

In this Grade 5 Eureka Math lesson from Chapter 2, students learn to represent decimal fractions such as thousandths and hundredths in standard, expanded, and unit forms using place value reasoning. Students practice writing decimals like 0.001 as fractions, expanded expressions (1 × 1/1000), and word form, building fluency through activities that connect multiplying and dividing decimals by powers of 10. The lesson bridges whole-number place value understanding to decimal notation, preparing students to read and write decimal fractions with precision.

In this Grade 5 Eureka Math lesson from Chapter 2, students learn to compare decimal fractions to the thousandths place using like units and express those comparisons with the symbols >, <, and =. Students use place value charts to align and compare decimals such as 0.012 and 0.002 by renaming them in common units like thousandths or hundredths. The lesson also builds fluency with expanded form, midpoint identification on number lines, and multiplying by decimal fractions as supporting skills.

In this Grade 5 Eureka Math lesson from Chapter 3, students learn to round decimals to any place value by using strategic decomposition and a vertical number line. The lesson builds understanding of how numbers fall between multiples of ten, hundred, or other place values, helping students identify the nearest benchmark and apply the midpoint rule to round accurately. Fluency activities including finding midpoints and renaming decimal units in tenths and hundredths prepare students for confident decimal rounding.

In this Grade 5 Eureka Math lesson from Chapter 3, students learn to round decimals to any place value — including tenths, hundredths, and thousandths — using place value charts and vertical number lines. The lesson builds on prior knowledge of decimal unit naming and the approximation symbol to develop fluency with rounding multi-digit decimals like 8.735 and 49.67 to a specified place. Students practice decomposing decimals and locating them between benchmarks on a number line to determine the nearest rounded value.

In this Grade 5 Eureka Math lesson, students learn to add decimals by working with tenths, hundredths, and thousandths as like units using place value disks and charts, then connect those concrete strategies to the standard vertical written method. The lesson builds on students' understanding of decomposing decimal units and aligning place values to add numbers such as 2 tenths 5 thousandths + 6 hundredths accurately. Part of Chapter 4 on Adding and Subtracting Decimals, it reinforces why like units must be aligned when recording decimal addition vertically.

In this Grade 5 Eureka Math lesson from Chapter 4, students learn to subtract decimals by applying place value strategies, including regrouping across tenths, hundredths, and thousandths. Using place value charts and disk models, students work through problems such as subtracting mixed decimal units and cases requiring renaming, then connect these concrete methods to the standard written algorithm. The lesson builds directly on prior work with decimal addition and place value decomposition introduced earlier in the chapter.

In this Grade 5 Eureka Math lesson from Chapter 5, students learn to multiply decimal fractions by single-digit whole numbers using place value understanding and the area model. They practice multiplying tenths and hundredths by whole numbers, bundling units when products exceed one whole, and connecting visual models to written algorithms. The lesson builds on prior work with decimal addition and subtraction to develop fluency with decimal multiplication expressions such as 4 × 0.423.

In this Grade 5 Eureka Math lesson from Chapter 5, students learn to multiply decimal fractions by single-digit whole numbers by reasoning about place value units and using estimation to confirm correct decimal point placement. Using area models and vertical multiplication, students work through problems such as 3.1 × 4 and 5.1 × 6, converting decimals to unit form (tenths, hundredths) to find and verify products. The lesson builds toward abstract multiplication fluency by connecting digit patterns across whole-number and decimal multiplication sentences.

In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals by single-digit whole numbers by applying place value understanding — expressing decimals in unit form (such as "9 tenths" or "105 hundredths") to connect division of decimals to familiar whole-number basic facts. Students work through problems like 0.9 ÷ 3, 1.05 ÷ 5, and 3.015 ÷ 5, using place value charts and decomposition strategies to find quotients involving tenths, hundredths, and thousandths. The lesson also connects this conceptual understanding to a written algorithm, building fluency with decimal division across multiple place value units.

In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals by single-digit whole numbers when a remainder occurs, using place value understanding and place value disks to connect to the standard written algorithm. Students work through problems such as 6.72 ÷ 3 and 5.16 ÷ 4, distributing units across ones, tenths, and hundredths places to find exact quotients. The lesson builds on prior work with whole-number division and decimal place value to help students see that dividing decimals follows the same process as dividing whole numbers.

In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals using place value understanding, decomposing units such as ones into tenths and tenths into hundredths when a remainder occurs at a given place value. Using place value charts and the standard algorithm, students work through problems like 1.7 ÷ 2 and 2.6 ÷ 4, expressing any remainder in the smallest unit needed to complete the division. The lesson builds on prior decimal division concepts and connects to real-world multi-step problems involving money.

In this Grade 5 Eureka Math lesson from Chapter 6 on Dividing Decimals, students practice solving multi-step word problems using decimal operations including addition and division. Using tape diagrams as visual models, students work through real-world scenarios such as splitting costs equally among friends and distributing money as allowances, applying the standard division algorithm to decimal values. The lesson also reinforces fluency with multiplying and dividing by powers of ten (10¹ through 10⁴) and dividing decimals like 0.3 ÷ 2 using place value understanding.

In this Grade 5 Eureka Math lesson from Chapter 7, students learn to multiply multi-digit whole numbers and multiples of 10 by applying place value patterns along with the distributive and associative properties. Fluency activities build skills in multiplying by 10, 100, and 1,000, composing and decomposing place value units, and rounding to prepare students for mental multiplication strategies. Concept development guides students through problems such as 4 × 30, 40 × 30, and 4,000 × 30 to reveal how place value relationships simplify larger products.

In this Grade 5 Eureka Math lesson from Chapter 7, students learn to estimate multi-digit products by rounding factors to a basic fact and applying place value patterns. They practice rounding multi-digit numbers to convenient values, then use those rounded factors alongside multiplication by multiples of 10, 100, and 1,000 to find reasonable estimates for products like 456 × 42 or 4,560 × 42. The lesson builds mental math fluency by connecting basic multiplication facts to larger place value relationships.

In this Grade 5 Eureka Math lesson from Chapter 8, students learn to write and interpret numerical expressions using parentheses, translating word phrases like "3 times the sum of 26 and 4" into expressions such as 3 × (26 + 4) and modeling them with tape diagrams. Students practice the distributive property by decomposing factors and build estimation skills by rounding multi-digit numbers to find reasonable products. The lesson connects verbal descriptions, symbolic notation, and visual models to deepen understanding of how grouping and order of operations affect the value of an expression.

In this Grade 5 Eureka Math lesson from Chapter 8, students learn to convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. Using the commutative property and decomposition, students practice breaking apart factors — such as rewriting 8 × 31 as 30 eights plus 1 eight — to simplify calculations mentally. The lesson builds fluency with estimating products and applying the distributive property across two- and three-digit multiplication problems.

In this Grade 5 Eureka Math lesson from Chapter 8, students learn to connect area models and tape diagrams to partial products of the standard multiplication algorithm without renaming. Using the distributive property, students break multi-digit factors into expanded form to see how each partial product contributes to the final answer. The lesson builds on prior knowledge of area, unit form mental math, and place value to bridge visual representations with the written standard algorithm.

In this Grade 5 Eureka Math lesson, students connect area models and the distributive property to partial products of the standard algorithm with renaming. Using problems like 64 × 73, they decompose multi-digit factors, identify how each partial product from the area model corresponds to a step in the standard algorithm, and practice renaming tens and hundreds during multiplication. The lesson builds fluency with multi-digit whole number multiplication while reinforcing the relationship between visual models and symbolic procedures.

In this Grade 5 Eureka Math lesson, students connect area models and the distributive property to partial products in the standard algorithm for multi-digit whole number multiplication, including problems with three- and four-digit factors such as 524 × 136 and 4,519 × 326. Students practice decomposing factors, matching partial products across both representations, and applying renaming within the standard algorithm. Estimation is used throughout to check the reasonableness of products before and after solving.

In this Grade 5 Eureka Math lesson from Chapter 8, students practice fluently multiplying multi-digit whole numbers using the standard algorithm with problems such as 314 × 236 and 1,882 × 296. Students also learn to estimate products by rounding factors and use those estimates to check whether their calculated answers are reasonable. The lesson connects the standard algorithm to prior work with the area model and exponential notation to reinforce place value understanding.

In this Grade 5 Eureka Math lesson, students practice fluently multiplying multi-digit whole numbers using the standard algorithm to solve multi-step word problems involving real-world contexts such as area and cost. The lesson builds skills in estimation by rounding, multiplying and dividing by powers of 10 using exponent notation, and breaking complex problems into sequential steps. Students apply these skills to problems requiring multiple calculations, such as finding the area of a space and multiplying by a unit cost to reach a final answer.

In this Grade 5 Eureka Math lesson from Chapter 9, students learn to multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. Students rename decimal factors as tenths, then apply expanded form and the area model to find partial products before combining them into a final decimal answer. The lesson builds directly on prior whole number multiplication strategies, helping students see how the distributive property and partial products work the same way with decimals.

In this Grade 5 Eureka Math lesson from Chapter 9, students learn to multiply decimal fractions (including hundredths) by multi-digit whole numbers by converting the problem into a whole number multiplication and then using place value reasoning to position the decimal point in the product. Students practice the standard algorithm alongside estimation and area models to verify their answers. The lesson builds fluency with problems such as 7.38 × 41 and 104.35 × 34, reinforcing the compensation strategy of multiplying by a power of 10 and dividing the result by the same power of 10.

In this Grade 5 Eureka Math lesson from Chapter 9, students practice multiplying whole numbers by decimals with hundredths, using place value understanding and estimation to reason about products. Students apply area models and the standard algorithm to solve problems such as 2.31 × 22 and 0.98 × 495, building fluency with multi-digit decimal multiplication. The lesson consolidates learning from earlier lessons in the module and extends to decimals less than 1 as a challenge for advanced learners.

In this Grade 5 Eureka Math lesson from Chapter 10, students learn to use whole number multiplication and conversion factors to express equivalent measurements across different units. The lesson covers unit conversions such as weeks to days, hours to minutes, and meters to centimeters by multiplying a given quantity by the appropriate conversion factor in parentheses. Students also practice multiplying by powers of 10 and using the area model to build fluency with decimal multiplication in measurement contexts.

In this Grade 5 Eureka Math lesson from Chapter 10, students learn to convert between units of measurement by multiplying by unit fractions and decimals, such as expressing 14 days as weeks using the relationship 1 day = 1/7 week. The lesson covers both customary and metric conversions, including feet to yards, quarts to gallons, centimeters to meters, and meters to kilometers. Students practice rewriting measurements in equivalent forms using fraction multiplication and decimal notation.

In this Grade 5 Eureka Math lesson, students learn to solve two-step word problems that require measurement conversions, such as converting pounds and ounces to total ounces or meters and centimeters to a single unit before performing operations like division or multiplication. The lesson builds skills in converting between both metric and customary units, including length, weight, and capacity, within real-world problem contexts. Part of Chapter 10, this lesson strengthens students' ability to apply unit conversion alongside multiplication and division to reach a final answer expressed in a specified unit.

Grade 5 students learn to use divide-by-10 patterns to solve multi-digit whole number division problems such as 420 ÷ 10 and 1,600 ÷ 100 by applying place value understanding and digit-shifting rules. This lesson from Eureka Math Grade 5, Chapter 11 builds fluency with dividing by multiples of 10 and 100 using place value disks and place value charts. Students practice recognizing that dividing a whole number by 10 shifts each digit one place to the right, and by 100 shifts digits two places to the right.

In this Grade 5 Eureka Math lesson from Chapter 11, students learn how to approximate quotients with two-digit divisors by rounding the divisor to the nearest ten and adjusting the dividend to the nearest compatible multiple. Using mental math strategies, students break division problems like 402 ÷ 19 into simpler steps — for example, estimating as 400 ÷ 20 — to find reasonable estimated quotients. The lesson builds on prior fluency with dividing by multiples of 10 and rounding skills to support efficient mental computation.

In this Grade 5 Eureka Math lesson, students learn how to use basic division facts to approximate quotients when dividing four-digit numbers by two-digit divisors. They practice rounding the divisor to the nearest ten first, then selecting a compatible dividend to create an easier basic fact, such as estimating 8,095 ÷ 23 as 8,000 ÷ 20 = 800 ÷ 2 = 400. This lesson builds on earlier estimation strategies and prepares students for more precise multi-digit division with two-digit divisors.

In this Grade 5 Eureka Math lesson, students learn to divide two- and three-digit dividends by multiples of 10 to get single-digit quotients, using estimation strategies and basic multiplication facts to simplify problems like 70 ÷ 30 and 90 ÷ 40. Students practice connecting their estimated quotients to the standard long division algorithm, including identifying remainders and verifying answers. This lesson from Chapter 12 builds foundational skills for multi-digit whole number division with two-digit divisors.

In this Grade 5 Eureka Math lesson from Chapter 12, students learn to divide two- and three-digit dividends by two-digit divisors to produce single-digit quotients using the standard long division algorithm. Students practice estimating quotients by rounding divisors to the nearest multiple of ten, then verify their answers using multiplication and addition. The lesson builds fluency with problems such as 72 ÷ 21 and 156 ÷ 43, connecting mental estimation strategies to a written method.

In this Grade 5 Eureka Math lesson, students learn to divide two- and three-digit dividends by two-digit divisors to produce single-digit quotients using estimation, the standard division algorithm, and remainder checks. Students practice rounding dividends and divisors to compatible numbers to estimate quotients, then adjust their estimates when the initial guess proves too high or too low. The lesson connects mental estimation strategies to written methods, reinforcing true equation notation and verification through multiplication.

In this Grade 5 Eureka Math lesson, students learn to divide three- and four-digit dividends by two-digit divisors to find two- and three-digit quotients, using place value strategies to decompose successive remainders across hundreds, tens, and ones. The lesson builds understanding of the standard division algorithm by having students reason about regrouping units — for example, renaming remaining tens as ones — to work through problems like 590 ÷ 17 and 887 ÷ 27. Students also practice checking their quotients using multiplication, reinforcing the inverse relationship between division and multiplication.

In this Grade 5 Eureka Math lesson, students learn to divide three- and four-digit dividends by two-digit divisors to produce two- and three-digit quotients, focusing on how successive remainders are decomposed across place values. Students practice the long division algorithm using estimation strategies, such as rounding to compatible numbers, to determine each digit of the quotient. Real-world word problems involving area, perimeter, and equal sharing reinforce the skill in applied contexts.

In this Grade 5 Eureka Math lesson, students learn to divide decimal dividends by multiples of 10 by reasoning about decimal point placement using place value charts and place value disks. Students explore how dividing by 10 shifts digits one place to the right, connecting unit form thinking to a written method that breaks problems like 1.8 ÷ 60 into two steps. The lesson builds on prior work with whole number division and prepares students for estimating and computing multi-digit decimal quotients.

In this Grade 5 Eureka Math lesson, students learn to approximate decimal quotients with two-digit divisors by rounding both the dividend and divisor to compatible numbers and applying basic facts to reason about decimal point placement. The lesson builds on prior work dividing decimals by multiples of 10, using strategies like renaming tenths and hundredths to simplify estimation. Students practice with real-world problems such as estimating the cost per item or daily water consumption to reinforce the skill.

In this Grade 5 Eureka Math lesson from Chapter 13, students learn to divide decimal dividends by two-digit divisors using the standard algorithm, including estimating quotients and reasoning about decimal point placement. Students also explore how whole-number division connects to decimal division by examining problems with identical quotients and remainders that represent different values. The lesson builds fluency with renaming tenths and hundredths in unit form as a strategy for applying whole-number division skills to multi-digit decimal division.

Grade 5 students in Eureka Math Chapter 13 learn to divide decimal dividends by two-digit divisors, practicing how to estimate quotients and reason about decimal point placement using the standard algorithm. Through problems like dividing 77 kilometers equally among 22 runners or splitting 14.7 mL of serum into 21 containers, students connect estimation strategies to a written division method. This lesson builds fluency with multi-digit decimal division while reinforcing unit conversions and real-world problem solving.

In this Grade 5 Eureka Math lesson from Chapter 14, students solve multi-step measurement word problems using multi-digit division to find either the group size or the number of groups. Working through real-world scenarios, students apply decimal division and whole number division skills — for example, dividing totals like 609 ÷ 14 and 1,404 ÷ 36 — while also practicing unit conversions involving meters, liters, and kilograms. Students are guided to model problems with labeled diagrams, write equations, and assess the reasonableness of their solutions.

In this Grade 5 Eureka Math lesson from Chapter 14, students solve multi-step division word problems by distinguishing between "group size unknown" and "number of groups unknown" problem types using multi-digit division. Students apply skills such as dividing decimals by two-digit numbers and using tape diagrams to solve real-world scenarios involving kilograms, area, and large quantities. Unit conversions with metric and customary measurements are also practiced to support problem solving throughout the lesson.

In this Grade 5 Eureka Math lesson from Chapter 15, students learn to create equivalent fractions using three representations: the number line, the area model, and multiplication of the numerator and denominator by the same factor. Through hands-on activities with paper strips and visual models, students explore why fractions like one-half and two-fourths name the same value and occupy the same point on the number line.

In this Grade 5 Eureka Math lesson from Chapter 15, students learn to make equivalent fractions by expressing them as sums of fractions with like denominators, using number lines and addition sentences to model relationships such as 1/3 + 1/3 = 2/3. The lesson builds on prior knowledge of equivalent fractions and connects repeated addition to multiplication of unit fractions. Students also practice finding missing numerators and denominators to reinforce fraction equivalence fluency.

In this Grade 5 Eureka Math lesson from Chapter 16, students learn how to add fractions with unlike denominators by converting them into equivalent fractions with common units. Using paper folding and rectangular area models, students practice renaming fractions such as one-half and one-fourth into like units before adding. The lesson builds on fluency with equivalent fractions and prepares students to add unlike unit fractions accurately and efficiently.

In this Grade 5 Eureka Math lesson from Chapter 16, students practice adding fractions with unlike denominators that produce sums between 1 and 2, such as 1/2 + 3/4. Students use pictorial models and equivalent fractions to find common units before adding, building on their understanding of part-whole relationships. The lesson develops estimation strategies alongside procedural skills, helping students predict whether a sum will be greater or less than 1 whole before solving.

In this Grade 5 Eureka Math lesson from Chapter 16, students learn to subtract fractions with unlike denominators by creating equivalent fractions with a common denominator. Using visual fraction models, students practice converting fractions like 1/2 and 1/3 into like units such as sixths before subtracting. The lesson builds on prior work with addition of unlike fractions and reinforces the concept of renaming units to make subtraction possible.

In this Grade 5 Eureka Math lesson from Chapter 16, students learn to subtract fractions from mixed numbers between 1 and 2, working with unlike denominators using pictorial models. Students build on their understanding of part-whole relationships and equivalent fractions to solve expressions such as 1⅓ − ½. Fluency activities reinforce converting improper fractions to mixed numbers and subtracting fractions from 1 as preparation for the core concept.

In this Grade 5 Eureka Math lesson from Chapter 16, students solve two-step word problems by adding and subtracting fractions with unlike denominators, using tape diagrams and area models to find unknown parts of a whole. Students practice finding common denominators and applying two different solution strategies to problems involving real-world contexts like sharing work and spending money. The lesson builds fluency with equivalent fractions and reinforces how fraction operations connect to visual representations.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn to add fractions to and subtract fractions from whole numbers using equivalence and number line strategies. The lesson focuses on decomposing mixed numbers into whole number and fraction parts, finding like units, and modeling problems such as 1 + 1¾ and 2 3/10 + 3 on an empty number line.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn how to add fractions with unlike denominators by creating like units numerically, moving beyond visual models to a more abstract, algebraic approach. Using problems such as adding fifths and halves, students practice finding common units and rewriting fractions before combining them. The lesson builds directly on earlier pictorial strategies to prepare students for fluent fraction addition without relying on diagrams.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn to add mixed numbers and fractions with unlike denominators to produce sums greater than 2, applying the commutative and associative properties to decompose and regroup whole number and fractional parts separately. Students practice finding common denominators and renaming fractions as equivalent units before combining them to reach a final sum. The lesson builds directly on prior skills of adding unlike fractions with sums between 1 and 2.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn to subtract fractions with unlike denominators by generating equivalent fractions to create like units. The lesson covers subtracting both simple fractions and mixed numbers, such as 3/4 minus 3/10, by finding a common denominator before subtracting. Students build on prior fluency with like-unit fraction operations to apply this numerical strategy across a variety of problems.

In this Grade 5 Eureka Math lesson from Chapter 17: Making Like Units Numerically, students learn to subtract mixed numbers and fractions greater than or equal to 1 by finding common denominators and converting to like units. Students practice applying this skill through real-world word problems involving distances and time, using number lines and tape diagrams as visual supports. The lesson builds fluency with unlike-unit subtraction and prepares students to solve multi-step problems requiring regrouping with fractions.

In this Grade 5 Eureka Math lesson from Chapter 18, students learn to use fraction benchmark numbers — such as 0, one-half, and 1 whole — to assess the reasonableness of addition and subtraction equations involving fractions with unlike denominators. Students practice converting fractions to decimals, identifying equivalent fractions, and determining whether fraction equations are true or false by applying benchmark reasoning. The lesson also includes a real-world problem requiring students to add and subtract mixed numbers with unlike denominators.

In this Grade 5 Eureka Math lesson from Chapter 18, students learn strategies for solving multi-term addition and subtraction problems involving fractions and mixed numbers with unlike denominators. Students practice identifying like units, rearranging terms, and recognizing compatible numbers to simplify expressions such as combining thirds, fifths, eighths, and halves efficiently. The lesson builds on prerequisite skills like making like units and extends to multi-step word problems requiring students to determine whether a part or whole is unknown.

In this Grade 5 Eureka Math lesson from Chapter 18, students solve multi-step word problems involving mixed numbers and fractions, applying subtraction with unlike denominators across multiple sequential steps. Students use tape diagrams to organize information and benchmark numbers to assess whether their solutions are reasonable. The lesson builds fraction computation fluency while developing problem-solving strategies for real-world contexts like race times and measurement.

In this Grade 5 Eureka Math lesson from Chapter 18, students explore part-to-whole relationships by using fraction models to identify and draw a whole when given a fractional part, such as determining the full length of a ribbon when shown only 1/3 or 2/5 of it. Fluency activities build prerequisite skills including decomposing improper fractions, finding like units, and adding fractions with sums greater than 1. Students work collaboratively to solve multi-step ribbon and wire problems that require drawing, labeling, and writing equations to represent part-to-whole fraction situations.

In this Grade 5 Eureka Math lesson from Chapter 19, students practice measuring lengths to the nearest 1/2, 1/4, and 1/8 of an inch using a ruler, then organize and display their measurements on line plots. Students also work with comparing fractions, decomposing fractions, and identifying equivalent fractions as foundational skills for interpreting fractional data. The lesson builds students' ability to read and analyze line plots that display fractional measurements on a number line.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students learn to interpret a fraction as division by exploring how expressions like 1 ÷ 2 and 2 ÷ 3 relate directly to the fractions one-half and two-thirds. Using hands-on paper models and number bonds, students build understanding of how division with remainders connects to fractional quantities. Fluency activities reinforce comparing fractions, decomposing fractions into unit fractions, and dividing with remainders to prepare students for this core concept.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students learn to interpret a fraction as division by connecting expressions like 4 ÷ 3 to the fraction 4/3 and the mixed number 1⅓. Through word problems involving equal sharing, students practice writing division equations, converting improper fractions to mixed numbers, and comparing fractions to determine the greatest quotient. The lesson also reinforces fluency with equivalent fractions, fraction comparison, and converting fractions to decimals.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students learn to use tape diagrams to represent and solve division problems that result in fractional quotients. Working through real-world scenarios such as dividing tons of gravel equally among dump trucks, students build understanding of how a fraction like three-fourths expresses the relationship between a dividend and divisor. The lesson connects visual models to division expressions and mixed numbers, reinforcing the concept that fractions and division are equivalent representations of the same operation.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students solve word problems involving the division of whole numbers where quotients are expressed as fractions or mixed numbers. Through tape diagrams and real-world contexts like dividing fabric or ice cream equally, students practice interpreting the whole and the divisor to write answers such as 2/5 or 2/3. Fluency activities reinforce related skills including writing division sentences as fractions and converting improper fractions to mixed numbers.

In this Grade 5 Eureka Math lesson from Chapter 21, students learn to relate fractions as division to finding a fraction of a set, working with expressions such as 1/3 of 6 and 1/4 of 12. Using counters and arrays, students practice rewriting division sentences as fractions and determine the value of unit and non-unit fractions of a given whole number. This lesson builds the conceptual foundation for multiplying whole numbers by fractions.

In this Grade 5 Eureka Math lesson from Chapter 21, students learn to multiply any whole number by a fraction using tape diagrams, building on their understanding of fractions as division. They work through problems such as finding 3/5 of 35 by partitioning a bar model into equal units, determining the value of one unit, and then scaling up to the required number of units. Fluency activities reinforce related skills including reading tape diagrams, finding fractions of whole numbers, and expressing fractions as division sentences.

In this Grade 5 Eureka Math lesson from Chapter 21, students learn to connect the concept of a fraction of a set to the repeated addition interpretation of fraction multiplication, such as understanding that 2/3 × 6 can mean both "2/3 of 6" and "6 copies of 2/3 added together." Students use tape diagrams and the commutative property to explore how whole number multiplication strategies extend to fraction multiplication. The lesson builds on prior work with multiplying a fraction times a whole number and prepares students to fluently solve problems like 3/8 × 56 using multiple representations.

In this Grade 5 Eureka Math lesson from Chapter 21, students learn how to find a fraction of a measurement by converting between units such as pounds and ounces, pints and cups, and yards and feet. Students practice multiplying a fraction by a whole number to express fractional parts of larger units as smaller units, then apply this skill to multi-step word problems. The lesson builds fluency with unit conversions and fraction multiplication using tape diagrams and simplifying strategies.

In this Grade 5 Eureka Math lesson from Chapter 22, students learn to write, compare, and evaluate numerical expressions with parentheses, including expressions that represent fractions of a set and unit conversions. Students practice interpreting tape diagrams to build expressions and apply the order of operations to find their values. The lesson connects fraction multiplication with real-world word problems to reinforce conceptual understanding.

Grade 5 students learn to solve and create word problems involving addition, subtraction, and multiplication of fractions, using tape diagrams and expressions to model each situation. This lesson is part of Eureka Math's Chapter 22 on Fraction Expressions and Word Problems and builds on prior skills such as multiplying whole numbers by fractions and converting units of measure. Students also practice writing and interpreting fraction expressions that match visual diagrams.

In this Grade 5 Eureka Math lesson from Chapter 22, students solve and create fraction word problems that require applying addition, subtraction, and multiplication of fractions in real-world contexts. Fluency activities build skills in converting customary measurements and multiplying fractions by whole numbers, such as finding 2/3 × 9 or 5/6 × 12, using tape diagrams to match expressions. Students also practice unit conversion with fractional quantities, connecting fraction operations to measurement contexts like 2/3 yard to feet and 3/4 gallon to quarts.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to multiply unit fractions by unit fractions, building on prior work with multiplying fractions and whole numbers. Using paper folding, area models, and tape diagrams, students develop conceptual understanding of why multiplying two unit fractions like one-half by one-half yields one-fourth. The lesson connects pictorial and numerical representations to help students generalize the procedure for fraction-by-fraction multiplication.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to multiply unit fractions by non-unit fractions, such as finding 1/3 of 3/5, by drawing rectangular fraction models and writing multiplication sentences. The lesson builds on prior knowledge of unit fraction multiplication to help students understand how multiplying a unit fraction by a non-unit fraction produces a simplified product. Students also practice simplifying results like 3/15 to equivalent fractions such as 1/5.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to multiply non-unit fractions by non-unit fractions, such as finding 2/3 of 3/4, by building on their understanding of unit fraction multiplication. Students use rectangular area models and reasoning strategies to find products and express results in simplest form. The lesson connects fraction multiplication to real-world contexts and reinforces related skills including converting fractions to decimals and equivalent hundredths.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to solve word problems involving fraction-by-fraction multiplication by drawing and interpreting tape diagrams. They practice setting up multiplication expressions such as finding a fraction of a fraction and use visual models to find products like 1/3 × 2/5 = 2/15. The lesson builds fluency with multiplying fractions and connects visual representations to real-world problem-solving contexts.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to relate decimal and fraction multiplication by converting between fraction and decimal notation for tenths and hundredths. Students practice multiplying fractions by fractions and multiplying whole numbers by decimals such as 0.1 and 0.01, building connections between the two representations. The lesson strengthens fluency with equivalent forms like 7/10 and 0.7 as a foundation for multiplying decimals and fractions interchangeably.

Grade 5 students learn to relate decimal multiplication to fraction multiplication using Eureka Math's approach of converting decimals to fractions with denominators of 10, 100, and 1,000. In this lesson, students rewrite expressions like 3.2 × 2.1 as 32/10 × 21/10, multiply numerators and denominators, and interpret the resulting unit (such as hundredths or thousandths) to find the decimal product. Students also practice estimation strategies to check the reasonableness of their answers before solving.

Grade 5 students learn how to convert measurements involving whole numbers — such as centimeters to meters, yards to feet, and cups to pints — by expressing smaller units as fractions of larger units and multiplying. The lesson is part of Eureka Math's Chapter 23 on fraction multiplication and also builds skills in solving multi-step word problems using unit conversions. Students practice both converting in both directions and applying these conversions in context.

In this Grade 5 Eureka Math lesson from Chapter 23, students learn to convert mixed unit measurements across customary units such as feet, inches, yards, cups, pints, quarts, and gallons, and apply those conversions to solve multi-step word problems. Students practice expressing measurements as fractions of larger units and use multiplication of fractions and whole numbers to reason through real-world scenarios. The lesson builds fluency with unit conversions while reinforcing decimal multiplication skills introduced earlier in the chapter.

In this Grade 5 Eureka Math lesson from Chapter 24, students learn to explain why multiplying a fraction by a fraction equal to 1 (such as 2/2 or 3/3) produces a product that is equivalent in size to the original fraction. Using area models and multiplication expressions, students explore how fractions like 6/8 and 3/4 represent the same quantity, deepening their understanding of fraction equivalence. The lesson also connects this concept to decimal equivalence and includes unit conversion practice with mixed numbers.

In this Grade 5 Eureka Math lesson from Chapter 24, students learn to compare the size of a product to the size of its factors when multiplying by fractions, exploring how multiplying by a fraction less than 1, equal to 1, or greater than 1 affects the result. Using concrete examples like multiplying 12 inches by fractions such as 1/4, 3/4, and 5/4, students discover that a factor less than 1 shrinks the product, a factor equal to 1 leaves it unchanged, and a factor greater than 1 enlarges it. Fluency practice with unit conversions and multiplying fractions by whole numbers reinforces the skills needed to reason about scaling with fractions and decimals.

In this Grade 5 Eureka Math lesson from Chapter 24, students learn to compare the size of a product to the size of its factors when multiplying by fractions and decimals, discovering that multiplying by a factor less than 1 shrinks the product, greater than 1 enlarges it, and equal to 1 leaves it unchanged. Students practice scaling with both fraction and decimal forms such as 97/100 and 1.01, building understanding of how the value of the scaling factor determines whether the product is less than, greater than, or equal to the original. The lesson connects fraction-to-decimal conversion and real-world scaling problems to reinforce these comparison concepts.

In this Grade 5 Eureka Math lesson, students solve multi-step word problems using fraction and decimal multiplication, applying skills such as scaling, converting fractions to decimals, and multiplying fractions by whole numbers. The lesson is part of Chapter 24 and builds on students' understanding of how a product relates to its factors when multiplying by fractions less than, equal to, or greater than one. Students use labeled diagrams and written equations to model real-world problems and assess the reasonableness of their solutions.

In this Grade 5 Eureka Math lesson from Chapter 25, students learn to divide a whole number by a unit fraction using tape diagrams and area models to build conceptual understanding. Through hands-on problems, such as determining how many one-third or one-fourth pound bags can be made from a whole number of pounds, students discover the relationship between division by a unit fraction and multiplication by its reciprocal. The lesson connects prior knowledge of fraction and decimal operations to this new division concept.

In this Grade 5 Eureka Math lesson from Chapter 25 on Division of Fractions and Decimal Fractions, students learn how to divide a unit fraction by a whole number. The lesson builds on prior work with multiplying fractions and dividing whole numbers by fractions, using visual models and number sentences to develop understanding of the concept. Students practice interpreting expressions such as one-third divided by four and connecting the process to the relationship between multiplication and division of fractions.

In this Grade 5 Eureka Math lesson from Chapter 25, students apply fraction division skills to solve multi-step word problems involving dividing whole numbers by unit fractions and unit fractions by whole numbers. Fluency practice reinforces counting by sixths and eighths, simplifying fractions, and recognizing improper fractions and mixed numbers before students work through concept-development problems using labeled diagrams and written solution statements.

In this Grade 5 Eureka Math lesson from Chapter 25 on Division of Fractions and Decimal Fractions, students practice writing division equations and word problems that correspond to tape diagrams and number line diagrams involving fractions such as dividing whole numbers by unit fractions. Students interpret visual models to identify the dividend and divisor, then construct their own story problems to match expressions like 5 ÷ 1/4.

In this Grade 5 Eureka Math lesson from Chapter 25, students learn to connect division by unit fractions to division by 1 tenth and 1 hundredth by rewriting decimal expressions like 7 ÷ 0.1 as fraction division problems such as 7 ÷ 1/10. Students practice reasoning about how many tenths or hundredths are in a whole number, building on prior work with dividing whole numbers by unit fractions. The lesson strengthens understanding of place value relationships and lays the groundwork for fluent division with decimal fractions.

In this Grade 5 Eureka Math lesson, students learn to divide decimal dividends by non-unit decimal divisors, such as 2.4 ÷ 0.2 or 2.4 ÷ 0.4, by rewriting division expressions as fractions and multiplying by a form of 1 to eliminate decimal denominators. The lesson builds on students' understanding that multiplying or dividing both the dividend and divisor by the same factor preserves the quotient. This is Lesson 6 of Chapter 25, Division of Fractions and Decimal Fractions, in the Grade 5 Eureka Math curriculum.

In this Grade 5 Eureka Math lesson from Chapter 25, students learn to divide decimal dividends by non-unit decimal divisors, such as solving problems like 1.5 ÷ 0.5 or 4.8 ÷ 1.2 by multiplying both the dividend and divisor by a power of ten to create equivalent whole-number division. The lesson builds on prior skills in multiplying decimals by 10 and 100 and dividing by unit decimals like 0.1 and 0.01. Students use fraction notation and place value reasoning to simplify and solve decimal division expressions accurately.

In this Grade 5 Eureka Math lesson from Chapter 26, students learn to interpret and evaluate numerical expressions using the language of scaling and fraction division. They practice translating word-form expressions into numerical notation — such as "twice the sum of" or "half the sum of" — applying order of operations and parentheses correctly. The lesson also reinforces dividing decimals and partitive fraction division as foundational skills for understanding how expressions scale quantities up or down.

In this Grade 5 Eureka Math lesson from Chapter 26, students practice creating real-world story contexts for numerical expressions and tape diagrams involving operations with fractions, decimals, and whole numbers. They solve multi-step word problems using division of fractions, decimal division, and multiplicative comparisons, interpreting expressions such as one-third times a difference in dollars. The lesson builds fluency with equivalent expressions and reinforces strategies for drawing labeled diagrams to model and solve problems.