Eureka Math, Grade 3

In this Grade 3 Eureka Math lesson from Chapter 1, students learn to understand equal groups of as multiplication by connecting skip-counting and repeated addition to multiplication sentences. Using counters and group counting activities, students explore how expressions like "10 groups of two is 20" translate into multiplication. This foundational lesson introduces the concept of equal groups as the basis for understanding what multiplication means.

In this Grade 3 Eureka Math lesson from Chapter 1, students learn to relate multiplication to the array model by connecting equal groups and repeated addition to rows and columns arranged in arrays. The lesson builds on foundational skip-counting and grouping skills to develop students' understanding of multiplication as a structured visual model. This concept is a core part of Topic A's introduction to the meaning of factors in multiplication.

In this Grade 3 Eureka Math lesson from Chapter 1, students learn to interpret the meaning of factors in a multiplication equation, distinguishing between the number of groups and the size of each group. Using arrays, number bonds, and hands-on activities, students connect repeated addition to multiplication sentences such as 4 × 6 = 24. This lesson builds foundational understanding of how factors function within multiplication before students advance to Topic B.

In this Grade 3 Eureka Math lesson from Chapter 2, students learn to identify the unknown as the size of the group in division by using the fair-share strategy with counters and connecting division equations to multiplication. Students practice writing division sentences such as 18 ÷ 2 = 9 and understand that the unknown factor represents how many objects belong in each equal group. This lesson builds directly on students' prior knowledge of arrays and repeated addition to deepen their understanding of the relationship between multiplication and division.

In this Grade 3 Eureka Math lesson from Chapter 2, students learn to interpret the unknown in a division equation as the number of groups, distinguishing it from the unknown as the size of a group. Using counters and real-world problems, students practice writing division sentences such as 18 ÷ 6 = 3 where the total and group size are known but the number of groups must be found. This builds foundational understanding of division as fair sharing and prepares students to connect division to unknown-factor thinking.

In this Grade 3 Eureka Math lesson from Chapter 2, students learn to interpret the unknown in division equations by connecting array models to division and multiplication sentences. Using arrays, students identify the quotient as either the size of equal groups or the number of groups, and explore how unknown factors in multiplication correspond to quotients in division. Practice with equations like 15 ÷ 3 = 5 and related arrays helps students build fluency with the relationship between multiplication and division.

In this Grade 3 Eureka Math lesson from Chapter 3, students learn the commutative property of multiplication by rotating array models 90 degrees to discover that changing the order of factors, such as 4 × 2 and 2 × 4, produces the same product. Students practice skip-counting by twos and threes to find totals and write related multiplication sentences that reflect both rows and columns in an array. The lesson builds fluency with multiplication facts for units of 2 while reinforcing the concept that the factors in a multiplication equation can be switched without changing the result.

In this Grade 3 Eureka Math lesson from Chapter 3, students learn the commutative property of multiplication by rotating array models 90 degrees and skip-counting to show that factors like 4 × 3 and 3 × 4 produce the same product. Students practice writing related multiplication sentences for the same array and explore how rows and columns switch roles when an array is turned. The lesson builds fluency with units of 2 and 3 through hands-on partner activities using personal white boards.

In this Grade 3 Eureka Math lesson from Chapter 3, students learn how to find related multiplication facts by adding and subtracting equal groups using array models. Students practice decomposing larger facts, such as 7 × 3, into two smaller known facts like 5 × 3 and 2 × 3, building an early understanding of the distributive property. This lesson strengthens fluency with multiplication units of 2 and 3 while connecting repeated addition to multiplication sentences.

In this Grade 3 Eureka Math lesson, students learn to model the distributive property by decomposing arrays to break apart multiplication facts, such as splitting a 3×6 array into (1×6) + (2×6) to find the total. Students practice using parentheses to write equations that show how smaller multiplication expressions combine to equal a larger product. This hands-on strategy builds fluency with units of 2 and 3 while introducing a key algebraic concept in Chapter 3.

In this Grade 3 Eureka Math lesson from Chapter 4, students learn to model division as the unknown factor in a multiplication equation using arrays and tape diagrams. They practice connecting division sentences like 8 ÷ 2 = 4 to multiplication sentences like ? × 2 = 8, building conceptual understanding of how the two operations relate. The lesson uses skip-counting by twos and threes alongside visual models to develop fluency with division using units of 2 and 3.

In this Grade 3 Eureka Math lesson from Chapter 4, students learn to interpret the quotient in two ways: as the number of equal groups or as the number of objects in each group when dividing with units of 2. Using arrays, tape diagrams, and division sentences such as 8 ÷ 2 = 4, students build understanding of how division relates to multiplication with unknown factors. The lesson also reinforces fluency with multiplication and division facts using units of 2 and 3.

In this Grade 3 Eureka Math lesson, students learn to interpret the quotient in two ways: as the number of groups or as the number of objects in each group when dividing with units of 3. Using tape diagrams and real-world story problems, students write and solve division equations such as 12 ÷ 3 = 4 and distinguish what the quotient represents in each context. This lesson from Chapter 4 builds foundational division fluency and deepens conceptual understanding of equal sharing and equal grouping.

In this Grade 3 Eureka Math lesson from Chapter 5, students skip-count by fours using a dot array and tape diagrams to build fluency with multiplication facts using units of 4. They practice writing multiplication equations such as 5 × 4 = 20 by connecting skip-counting to repeated groups, then apply the same strategy to solve related expressions like 7 × 4 and 4 × 5. The lesson also reviews multiplication and division using units of 3 through a timed Sprint activity to reinforce prior learning.

In this Grade 3 Eureka Math lesson from Chapter 5, students learn to model the commutative property of multiplication by connecting arrays to tape diagrams using units of 4. They draw arrays, write corresponding equation pairs such as 2 × 4 = 8 and 4 × 2 = 8, and create matching tape diagrams to show how factors can switch roles while the product stays the same. The lesson builds on skip-counting by fours and helps students understand why two tape diagrams are needed to represent the commutativity that a single array can show.

In this Grade 3 Eureka Math lesson from Chapter 5, students learn to apply the distributive property as a strategy for finding related multiplication facts using units of 4. They practice breaking apart larger facts, such as 7 × 4, into known expressions like (5 × 4) + (2 × 4) to make multiplication more manageable. The lesson builds fluency with fours multiplication facts through arrays, tape diagrams, and skip-counting activities.

In this Grade 3 Eureka Math lesson from Chapter 5, students model the relationship between multiplication and division using number bonds and tape diagrams to see how a division equation like 24 ÷ 4 = 6 corresponds to a multiplication equation with an unknown factor such as ___ × 4 = 24. Students practice skip-counting by fours to find unknown factors and quotients, discovering that the same strategy solves both types of equations. Word problems help reinforce how the unknown can represent either the number of groups or the size of each group depending on the context.

In this Grade 3 Eureka Math lesson from Chapter 6, students learn to apply the distributive property by using number bonds to decompose a larger factor into two smaller parts, then multiply each part separately and add the products. For example, students break apart 7 × 3 into (5 × 3) + (2 × 3) to find the total, building the "break apart and distribute" strategy with arrays and equations. This lesson lays the groundwork for multiplying with units of 2–5 and 10 by making larger multiplication facts more manageable.

In this Grade 3 Eureka Math lesson from Chapter 6, students apply the distributive property to decompose units as a strategy for solving multiplication and division problems. Students practice breaking apart larger facts into smaller known facts — for example, splitting 7 × 4 into (5 × 4) + (2 × 4) — and use arrays to model how division expressions like 24 ÷ 2 can be decomposed into parts such as (20 ÷ 2) + (4 ÷ 2). The lesson builds fluency with the break-apart-and-distribute strategy using units of 2 through 6.

In this Grade 3 Eureka Math lesson from Chapter 6, students learn to solve two-step word problems involving multiplication and division by modeling each problem with tape diagrams. They practice identifying multiple unknowns, writing multiplication and subtraction equations, and checking whether their answers are reasonable. Real-world contexts like calculating the cost of scarves and plants help students connect mathematical operations to everyday situations.

In this Grade 3 Eureka Math lesson, students practice solving two-step word problems using all four operations — addition, subtraction, multiplication, and division — while applying the RDW (Read, Draw, Write) process to model and solve real-world scenarios. Students work collaboratively to write equations, draw tape diagrams, and evaluate whether their answers are reasonable. The lesson builds on prior work with units of 2–5 and 10 as a culminating exploration in Chapter 6.

In this Grade 3 Eureka Math lesson from Chapter 7, students explore time as a continuous measurement by using stopwatches to measure durations in seconds. They learn that seconds are a unit of time smaller than minutes, practice estimating and measuring short time intervals, and connect this understanding to multiplication by solving problems involving repeated time units. The lesson also reinforces telling time to the nearest 5 minutes and counting by 5-minute intervals in preparation for later lessons.

In this Grade 3 Eureka Math lesson from Chapter 7, students learn to relate skip-counting by fives on the analog clock to a number line, connecting the clock's circular structure to a continuous measurement model. They practice telling time to the nearest 5 minutes and model 5-minute intervals using tape diagrams and number lines. The lesson builds fluency with minute counting and reinforces the relationship between multiplication, skip-counting, and time measurement.

In this Grade 3 Eureka Math lesson from Chapter 7 on Time Measurement and Problem Solving, students learn to count by fives and ones on a number line as a strategy for telling time to the nearest minute on an analog clock. They practice decomposing 60 minutes, identifying half-hour and quarter-hour intervals, and applying skip-counting skills to read and write times accurately. This lesson builds directly on prior work with 5-minute intervals and prepares students for adding and subtracting minute intervals in later lessons.

In this Grade 3 Eureka Math lesson from Chapter 7, students learn to solve word problems involving time intervals within 1 hour by counting forward and backward on a number line and an analog clock. They practice strategies such as counting by ones and fives, subtracting minutes, and jumping to benchmark intervals like quarter hours and half hours to find elapsed time. The lesson builds on prior skills in telling time to the nearest minute and prepares students to reason flexibly about start times, end times, and time intervals.

In this Grade 3 Eureka Math lesson from Chapter 7, students learn to solve word problems involving time intervals within 1 hour by adding and subtracting on a number line. Using labeled number line templates, they practice counting forward and backward to find elapsed time, setting up corresponding addition and subtraction sentences such as 12 minutes + ____ = 30 minutes. The lesson builds on telling time to the nearest minute and connects time measurement to real-world contexts like morning routines and lunch periods.

In this Grade 3 Eureka Math lesson from Chapter 8, students explore metric units of weight by building a 1-kilogram bag of rice using a pan balance, then decomposing it into equal parts to understand the relationship between kilograms, 100 grams, 10 grams, and 1 gram. Students use hands-on tools including a pan balance, digital scale, and ten-frame to connect concrete measurement experiences to the abbreviations kg and g. This lesson builds foundational understanding of metric weight units and place value relationships within the metric system.

In this Grade 3 Eureka Math lesson from Chapter 8, students develop estimation strategies by using familiar objects as mental benchmark measures for weight in kilograms and grams. Students practice reading spring scales, decomposing 1 kilogram into gram parts using number bonds, and skip-counting by grams to build number sense around metric units of weight. The lesson builds foundational measurement skills that connect part-whole thinking to real-world estimation.

In this Grade 3 Eureka Math lesson from Chapter 8, students solve one-step word problems involving metric weights within 100 grams and kilograms, using addition and subtraction strategies such as making a ten to simplify calculations. Students also practice estimating with spring scales and reasoning about whether their solutions are reasonable. The lesson builds on earlier work with grams and kilograms to connect real-world measurement contexts with core arithmetic skills.

In this Grade 3 Eureka Math lesson from Chapter 8, students learn to decompose 1 liter into smaller metric units, exploring the relationships between 1 liter, 100 milliliters, 10 milliliters, and 1 milliliter. Students compare the capacity of real containers, then connect milliliter units to the base ten place value system using hands-on measurement activities. The lesson builds on earlier work with kilograms and grams to deepen understanding of liquid volume measurement.

In this Grade 3 Eureka Math lesson from Chapter 8, students learn to estimate and measure liquid volume in liters and milliliters by constructing a hands-on vertical number line using a 2-liter bottle marked at 100 mL intervals. Students practice decomposing 1 liter into milliliter parts using number bonds and develop an understanding of the relationship between liters and milliliters (1 liter = 1,000 milliliters). The lesson builds measurement fluency through both physical experimentation and skip-counting strategies aligned with the Eureka Math framework.

In this Grade 3 Eureka Math lesson from Chapter 8, students practice solving mixed word problems using addition, subtraction, multiplication, and division with metric units including grams, kilograms, liters, and milliliters. Students work through real-world scenarios involving weights and liquid volumes, applying simplifying strategies such as making tens to solve problems efficiently. The lesson builds fluency with place value and measurement reading skills as foundational support for multi-step problem solving.

In this Grade 3 Eureka Math lesson, students learn to round two-digit measurements to the nearest ten using a vertical number line, applying the concept to real-world units such as milliliters, centimeters, minutes, and grams. Students practice identifying halfway points between consecutive tens and determining whether a measurement is closer to the lower or upper ten. The lesson builds foundational rounding skills within a measurement context, preparing students for rounding to the nearest hundred in subsequent lessons.

In this Grade 3 Eureka Math lesson, students learn to round two- and three-digit numbers to the nearest ten using a vertical number line, identifying the halfway point between consecutive tens to determine which ten a number is closest to. Students practice expressing numbers in unit form (such as "2 tens 8 ones") and applying place value understanding to justify their rounding decisions. The lesson is part of Chapter 9 and connects rounding skills to real-world measurement contexts like elapsed time and milliliters.

In this Grade 3 Eureka Math lesson, students learn to round three-digit and four-digit numbers to the nearest hundred using a vertical number line. They practice identifying the two nearest hundreds, finding the halfway point between them, and determining which hundred a given number is closest to. The lesson connects place value understanding with rounding by expressing numbers in unit form, such as recognizing that 1,387 contains 13 hundreds.

In this Grade 3 Eureka Math lesson, students learn to add measurements using the standard algorithm, focusing on composing a larger unit once when the sum in a column reaches or exceeds the next unit value. Using place value charts and disks, students work with units such as milliliters, centimeters, grams, and liters to practice regrouping in a measurement context. The lesson builds on mental math strategies and place value understanding introduced earlier in Chapter 10.

In this Grade 3 Eureka Math lesson, students practice adding measurements using the standard algorithm when regrouping is required in both the ones and tens places, composing larger units twice. Using place value charts and place value disks with units such as grams, centimeters, and milliliters, students connect concrete models to the written algorithm. The lesson builds directly on composing a single larger unit and prepares students to handle multi-step regrouping in measurement addition.

In this Grade 3 Eureka Math lesson, students learn to estimate sums by rounding to the nearest ten, hundred, and fifty, then compare the precision of each method to determine which produces the most accurate result. Students apply these rounding strategies to solve measurement word problems, developing flexibility in choosing the most appropriate level of rounding based on the situation. This lesson is part of Chapter 10, which focuses on two- and three-digit measurement addition using the standard algorithm.

In this Grade 3 Eureka Math lesson, students learn to decompose once to subtract three-digit minuends that contain zeros in the tens or ones place using the standard algorithm. Using place value charts and disk models, they practice unbundling hundreds into tens to make subtraction possible, with measurement contexts such as milliliters to ground the concept. The lesson builds on students' understanding of place value and prepares them for more complex multi-digit subtraction in Chapter 11.

In this Grade 3 Eureka Math lesson, students practice using the standard subtraction algorithm to decompose twice — unbundling both hundreds and tens — when subtracting measurements from three-digit minuends, including those with zeros in the tens and ones places. Working with real-world units such as grams, milliliters, and centimeters, students learn to check each place value before subtracting and regroup as needed. This lesson builds directly on single-decomposition subtraction skills introduced in the previous lesson of Chapter 11.

In this Grade 3 Eureka Math lesson from Chapter 11, students learn to estimate differences by rounding to the nearest ten or hundred and then compare their estimates to exact answers to check for reasonableness. Using measurement problems with units like liters and grams, students practice the standard subtraction algorithm alongside rounding strategies, including rounding only the subtrahend when it is close to a friendly number. The lesson builds number sense by helping students understand when an estimate is sufficient and how rounding choices affect the accuracy of a result.

In this Grade 3 Eureka Math lesson from Chapter 11, students practice rounding two- and three-digit measurements to the nearest ten and hundred to estimate sums and differences, then verify their estimates using the standard algorithm. Students apply these skills to real-world measurement contexts involving grams, centimeters, and milliliters through hands-on group activities and mixed word problems. The lesson builds fluency with estimation as a tool for checking the reasonableness of calculated answers.

In this Grade 3 Eureka Math lesson from Chapter 12, students apply the commutative property of multiplication to extend their known facts to include 6, 7, 8, and 9 as factors. By recognizing that switching the order of factors does not change the product — for example, that knowing 3 × 6 = 18 also means knowing 6 × 3 = 18 — students build fluency with larger multiplication facts they have not yet formally practiced. The lesson uses tape diagrams, arrays, and a multiplication chart to make this strategy concrete and transferable.

In this Grade 3 Eureka Math lesson from Chapter 12, students use the distributive and commutative properties to connect known fives facts to 6 × n multiplication facts by recognizing that 6 × n equals 5 × n + n. Through guided practice with visual models and personal white boards, students build fluency with six facts such as 6 × 7 by breaking them into 5 sevens plus 1 seven. This lesson helps third graders develop efficient multiplication strategies using properties they already understand.

In this Grade 3 Eureka Math lesson from Chapter 12, students learn to multiply and divide using familiar facts while using a letter to represent the unknown in equations. Building on their knowledge of multiplication and division relationships, students practice writing equations such as 3 × n = 24 and solve for the unknown using strategies like the distributive property. The lesson connects real-world problem solving with algebraic thinking as students transition from blank spaces to letters as placeholders for unknown values.

In this Grade 3 Eureka Math lesson from Chapter 13, students learn to count by units of 6 to solve multiplication and division problems, using number bonds to decompose larger facts into simpler ones. Students practice the distributive property by breaking apart arrays, such as using 5 sixes plus 1 six to find 6 times 6, and apply skip-counting strategies to connect repeated addition to multiplication. The lesson builds fluency with 6s facts while reinforcing the relationship between multiplication and division using variables to represent unknowns.

In this Grade 3 Eureka Math lesson from the Multiplication and Division Using Units of 6 and 7 chapter, students learn to skip-count by units of 7 and use number bonds to decompose 7 as a strategy for solving multiplication and division problems. By breaking 7 into parts to make ten, students build fluency with multiplication facts involving sevens. The lesson also reinforces counting by sixes through timed practice, helping students work toward knowing all products of two one-digit numbers from memory.

In this Grade 3 Eureka Math lesson, students learn to apply the distributive property as a strategy for multiplying and dividing with units of 6 and 7, breaking larger facts like 9 × 7 into smaller known facts such as (5 × 7) + (4 × 7). The lesson builds on skip-counting and number bond decomposition to develop fluency with multiplication facts. It is part of Chapter 13, which focuses on multiplication and division using units of 6 and 7.

In this Grade 3 Eureka Math lesson from Chapter 13, students learn to interpret the unknown in multiplication and division equations using units of 6 and 7. They practice representing word problems with tape diagrams, writing equations with a variable, and applying strategies like skip-counting and the distributive property to solve for the unknown. The lesson builds fact fluency with 6s and 7s while connecting visual models to multiplication and division sentences.

In this Grade 3 Eureka Math lesson from Chapter 14, students learn how parentheses control the order of operations in equations involving both multiplication and subtraction. Using a real-world egg-counting problem, students discover that changing the order of operations changes the result, and practice writing expressions like (2 × 6) − 2 = 10 to show which calculation must be performed first.

In this Grade 3 Eureka Math lesson from Chapter 14, students learn to apply the associative property of multiplication as a strategy to simplify harder multiplication problems. They practice decomposing larger factors into friendlier factor pairs and regrouping parentheses to make multi-factor equations easier to solve, for example rewriting 16 × 3 as 8 × (2 × 3). The lesson builds on students' understanding of parentheses and prepares them to multiply with units up to 8.

In this Grade 3 Eureka Math lesson from Chapter 14, students learn to apply the distributive property as a strategy for multiplying and dividing with units up to 8. Using arrays, tape diagrams, and number bonds, students practice breaking apart a factor into smaller parts — such as splitting 8 into 5 and 3 — and distributing the other factor across each part to simplify calculations like 6 × 8 and 64 ÷ 8. The lesson also reinforces the commutative property by showing that the break-apart-and-distribute strategy works regardless of which factor is decomposed.

In this Grade 3 Eureka Math lesson from Chapter 14, students learn to interpret the unknown in multiplication and division equations by using letter variables to represent missing values and solve multi-step word problems. Students practice identifying whether the unknown is a product, quotient, or intermediate value, then choose strategies such as skip-counting, the distributive property, or mental math to find its value. The lesson also builds fluency with multiplication facts using units of 8 through pattern sheets and group counting activities.

In this Grade 3 Eureka Math lesson from Chapter 15, students learn to multiply with 9 by applying the distributive property and using the relationship 9 = 10 - 1 to rewrite nines facts as tens facts minus one unit. Students practice solving expressions like 9 × 8 by calculating (10 × 8) − (1 × 8) = 80 − 8 = 72, connecting prior knowledge of tens facts to a new multiplication strategy. The lesson also reinforces the break-apart and distribute strategy through a real-world application problem involving units of 9.

In this Grade 3 Eureka Math lesson from Chapter 15, students identify and apply arithmetic patterns in multiples of 9 to solve multiplication facts. Students discover that the tens digit is always one less than the factor being multiplied and that the sum of the digits in any multiple of 9 equals 9, using these patterns as strategies to check their work. The lesson also reinforces the "add 10, subtract 1" strategy and the distributive property to build fluency with nines facts.

In this Grade 3 Eureka Math lesson from Chapter 15, students learn to identify and use arithmetic patterns to multiply with units of 9, focusing on the 9 = 10 − 1 strategy and a finger-based method to find products. Students practice extending this approach by working with arrays and skip-counting to understand why the tens digit equals the number of groups minus one and the ones digit equals ten minus the number of groups. The lesson builds multiplication fact fluency for all one-digit multiples of 9.

Grade 3 students in Eureka Math Chapter 15 learn to interpret the unknown in multiplication and division equations using a letter variable to model and solve multi-step word problems with units of 9. The lesson guides students through writing equations such as 9 × 4 = h and 72 ÷ 9 = m to represent real-world situations, then using those solutions to complete a second step. Students also build fluency with nines facts through skip-counting and pattern-based strategies.

In this Grade 3 Eureka Math lesson from Chapter 16, students explore arithmetic patterns involving units of 0 and 1 in multiplication and division, discovering rules such as n × 1 = n, n ÷ 1 = n, n ÷ n = 1, and n × 0 = 0. Using visual models with circles and dots, students reason through why these patterns are true and connect each multiplication equation to its related division fact. The lesson builds conceptual understanding of these foundational properties as students explain and justify the patterns in their own words.

In this Grade 3 Eureka Math lesson from Chapter 16, students identify patterns in multiplication and division facts by analyzing a multiplication table, including discovering rules about even and odd products. Students practice recognizing that even products result from even times even or odd times even factor pairs, while also reinforcing fluency with multiplication and division facts within 100 and with units of 0 and 1. The lesson builds pattern recognition skills that help third graders understand the structure of the multiplication table more deeply.

In this Grade 3 Eureka Math lesson from Chapter 16, students learn to solve two-step word problems using all four operations — addition, subtraction, multiplication, and division — by drawing models and writing equations with labeled unknowns. Students practice the RDW (Read, Draw, Write) approach to break multi-step problems into manageable parts, then assess the reasonableness of their solutions by checking whether answers make sense in context. Fluency activities include multiplying and dividing with 0 and 1, multiplying with 10, and group counting through multiples of 6, 7, 8, and 9.

In this Grade 3 Eureka Math lesson (Chapter 17, Lesson 1), students learn to multiply by multiples of 10 using place value disks and a place value chart, connecting unit form equations like 2 × 3 tens = 6 tens to standard form equations like 2 × 30 = 60. Students practice recognizing how a basic multiplication fact changes when the unit shifts from ones to tens, building fluency with facts involving multiples of 10 up to 90. The lesson reinforces place value understanding as a foundation for single-digit multiplication with larger numbers.

In this Grade 3 Eureka Math lesson, students learn to multiply by multiples of 10 using place value strategies and the associative property, applying the rule n × (m × 10) = (n × m) × 10 to regroup factors and simplify problems like 40 × 2 into 10 × (4 × 2). Students practice rewriting equations by decomposing multiples of 10 and shifting parentheses to find friendlier multiplication expressions. This lesson builds directly on prior work with unit form multiplication and prepares students to fluently handle two-digit by single-digit multiplication involving tens.

In this Grade 3 Eureka Math lesson from Chapter 17, students learn to solve two-step word problems by multiplying single-digit factors and multiples of 10, such as calculating total seconds by first solving 4 × 60 and then adding a remaining amount. Students practice using tape diagrams and equations with unknowns to organize and solve real-world problems involving multiplication of multiples of 10. The lesson builds fluency with strategies like expressing 4 × 60 as (4 × 6) × 10 to find products efficiently.

In this Grade 3 Eureka Math lesson from Chapter 18, students learn that area is the amount of flat space a plane figure takes up by using pattern blocks — triangles, rhombuses, and trapezoids — to cover and compare shapes. Students discover that figures with equal area can look different, and that larger unit shapes require fewer blocks to cover the same space. This foundational lesson builds the conceptual understanding of area needed for later measurement work in third grade.

In this Grade 3 Eureka Math lesson from Chapter 18, students learn to decompose and recompose shapes to compare areas by cutting paper strips into square inch units and rearranging them into different rectangles. Students discover that shapes can look different yet have the same area, and are introduced to standard area units including square inches and square centimeters. The lesson builds foundational understanding of area measurement as students record and compare areas across multiple rectangular arrangements.

In this Grade 3 Eureka Math lesson from Chapter 18, students learn how to measure area by tiling rectangles with square centimeter and square inch unit squares, connecting physical tile arrangements to grid paper representations. Students explore how rearranging tiles into different rectangle configurations does not change the total area, reinforcing the concept that area is measured in square units. The lesson builds foundational understanding of area measurement using both standard units — square centimeters and square inches — as a precursor to more formal area formulas.

In this Grade 3 Eureka Math lesson from Chapter 18: Foundations for Understanding Area, students learn to relate side lengths of a rectangle to the number of square-inch or square-centimeter tiles along each side. Using physical tiles and a ruler, students discover that the length of a side in inches equals the number of tiles lined up along that side, reinforcing why tiles must be placed without gaps or overlaps to accurately measure area. This lesson builds on earlier work with square units and arrays to deepen students' understanding of how linear measurement connects to area.

In this Grade 3 Eureka Math lesson from Chapter 19, students learn to form rectangles by tiling with unit squares to create arrays, exploring how side lengths relate to area. Students use square inch tiles to build rectangular arrays, write multiplication equations such as 2 inches × 6 inches = 12 square inches, and solve unknown factor problems to find missing side lengths. The lesson connects prior knowledge of multiplication and arrays to the foundational concept of area measurement.

In this Grade 3 Eureka Math lesson from Chapter 19, students learn how to complete an incomplete array by drawing rows and columns using a straight edge, then use multiplication to calculate the area of a rectangle in square units. The lesson builds on students' understanding of equal rows and columns, connecting repeated addition and multiplication facts to area measurement. Fluency practice with multiplication facts and a multi-step word problem involving square inch tiles reinforce the core concepts throughout the lesson.

In this Grade 3 Eureka Math lesson from Chapter 19, students learn to interpret area models and form rectangular arrays by connecting side lengths to multiplication facts. Students explore how the choice of unit — square centimeters, square inches, square feet, or square meters — affects the area of a rectangle with the same number of tiles, reinforcing why labeling units is essential. They also practice drawing rectangular arrays on grid paper and solving multi-step word problems involving area.

In this Grade 3 Eureka Math lesson from Chapter 19: Concepts of Area Measurement, students learn to find the area of a rectangle by multiplying its side lengths instead of counting individual square units. The lesson connects rows and columns to multiplication equations, such as 4 × 7 = 28 square units, and progresses to finding unknown side lengths when the area is given. Students also build fluency with multiplication facts, particularly multiplying by 6, to support area calculations.

In this Grade 3 Eureka Math lesson from Chapter 20, students analyze different rectangles to reason about area by multiplying side lengths and exploring how combining or splitting rectangles affects total area. Students practice decomposing multiplication equations such as 8 × 6 = (5 + 3) × 6 to build toward the distributive property, while reinforcing area concepts using square centimeter grids. The lesson connects repeated addition, array models, and multiplication to deepen understanding of how area is measured and calculated.

In this Grade 3 Eureka Math lesson from Chapter 20, students learn to apply the distributive property as a strategy for finding the total area of a large rectangle by breaking it into two smaller rectangles and adding their products. Using square centimeter tiles and area models, students practice writing expressions such as (5 × 6) + (3 × 6) to represent how two partial areas combine into one whole. The lesson builds foundational understanding of how arithmetic properties connect to real geometric reasoning.

In this Grade 3 Eureka Math lesson from Chapter 20, students use the associative property to find all possible whole number side lengths of rectangles with areas of 24, 36, 48, or 72 square units. By rewriting factors in expressions like 3 × 12 as (3 × 2) × 6 and shifting parentheses, students discover that changing the grouping of factors produces different but equivalent side length pairs. The lesson builds on prior work with the distributive and commutative properties to deepen students' understanding of how multiplication relates to area models.

In this Grade 3 Eureka Math lesson from Chapter 21, students practice solving word problems involving area by finding unknown side lengths when the area and one side length are given, using division equations and area models. Students also apply the associative property to generate different side length combinations for rectangles with the same area. The lesson reinforces multiplication facts for units of 7 and strengthens the relationship between area, length, and width.

In this Grade 3 Eureka Math lesson from Chapter 21, students learn to find the area of composite figures by either decomposing them into smaller rectangles and adding the areas, or by completing the figure into a full rectangle and subtracting the missing portion. Using grid-based shapes and strategies like break apart and distribute, students practice writing multiplication equations for each part and combining the results to find the total area in square units.

In this Grade 3 Eureka Math lesson from Chapter 21, students learn to find the area of composite figures by decomposing them into smaller rectangles and adding the partial areas, or by completing the shape into a full rectangle and subtracting the missing portion. Students practice identifying unknown side lengths, writing area equations, and applying both strategies to solve word problems involving non-rectangular shapes. The lesson builds on prior knowledge of multiplication and connects area concepts to real-world contexts.

In this Grade 3 Eureka Math lesson from Chapter 21, students apply their knowledge of area to a real-world floor plan by measuring side lengths in centimeters and calculating the area of each room. They practice key strategies including multiplying side lengths, the break-apart and distribute strategy for larger facts, and decomposing non-rectangular rooms into smaller rectangles to find total area. The lesson connects multiplication fluency with practical spatial reasoning in an architectural context.

In this Grade 3 Eureka Math lesson from Chapter 21, students apply their understanding of area to calculate the square centimeter measurements of individual rooms in a floor plan. They also explore how different side lengths can produce the same area, reinforcing the relationship between multiplication facts and rectangular dimensions. Fluency practice with multiplying by 9 and finding areas of composite shapes supports students in building toward full mastery of single-digit multiplication products.

In this Grade 3 Eureka Math lesson from Chapter 22, students learn to partition a whole into equal parts and identify unit fractions such as halves, thirds, and fourths using concrete models like fraction strips and paper folding. Students practice specifying fractional units by dividing 12-inch paper strips into equal sections and counting unit fractions (e.g., one half, two halves). The lesson builds foundational fraction vocabulary and concepts that bridge to more advanced fraction work in Grades 4 and 5.

In this Grade 3 Eureka Math lesson from Chapter 22, students learn to partition a whole into equal parts by physically folding paper strips to create unit fractions such as halves, thirds, fourths, fifths, sixths, eighths, and tenths. Students identify and count unit fractions by labeling each equal part and using sentence frames to describe the fractional units they create. The lesson builds foundational fraction vocabulary and hands-on understanding of how a whole is divided into equal parts.

In this Grade 3 Eureka Math lesson from Chapter 22, students learn to partition rectangles, circles, and other shapes into equal parts and identify unit fractions such as halves, thirds, and fourths by drawing pictorial area models. Students practice counting unit fractions (for example, 1 fourth, 2 fourths, 3 fourths) and shading specified fractional amounts to build a concrete understanding of what each fractional unit represents. The lesson connects equal partitioning to fraction notation, helping students recognize that the number of equal parts determines the fractional unit name.

In this Grade 3 Eureka Math lesson from Chapter 22, students learn to represent and identify fractional parts — including halves, thirds, fourths, fifths, sixths, eighths, ninths, and tenths — using a variety of real-world materials such as yarn, paper, clay, and water. Through hands-on station work and a museum walk, students explore how the same fractional unit can be applied to different wholes, deepening their understanding that each part must be equal regardless of the material or shape. The lesson also reinforces the relationship between different fractional units by comparing partitioned wholes across stations.

In this Grade 3 Eureka Math lesson from the Unit Fractions and Their Relation to the Whole chapter, students learn to partition shapes such as circles, squares, and bars into equal parts and identify each equal part as a unit fraction. Students practice writing unit fractions in both unit form (1 half, 1 third) and fraction form (1/2, 1/3), building a foundational understanding of what a unit fraction represents numerically. The lesson also reinforces related skills including naming fractional units and multiplying by units of 8 through fluency activities.

In this Grade 3 Eureka Math lesson from the unit on fractions, students learn to build non-unit fractions less than one whole by making copies of unit fractions. Using shaded shapes partitioned into equal parts, students practice identifying unit fractions such as one-third or one-eighth, then count repeated copies to name non-unit fractions like two-thirds, five-eighths, and three-fourths in both unit form and fraction form. The lesson connects numerator and denominator meaning to the process of copying a single unit fraction to compose a larger fractional amount.

In this Grade 3 Eureka Math lesson from the Unit Fractions and Their Relation to the Whole chapter, students learn to identify and represent both shaded and non-shaded parts of one whole as unit fractions. Using hands-on activities like folding and cutting paper into equal parts, students practice writing fractions for the colored and uncolored portions, reinforcing that every equal part of a whole — whether filled or empty — can be expressed as a fraction.

In this Grade 3 Eureka Math lesson, students learn to represent parts of one whole as fractions using number bonds, decomposing 1 into unit fractions such as fourths and fifths and then recombining them into non-unit fractions. Students practice identifying how fractions like 3 fourths and 1 fourth or 2 fifths and 3 fifths make up one whole, building on their understanding of unit and non-unit fractions from earlier lessons in the Unit Fractions and Their Relation to the Whole chapter.

In this Grade 3 Eureka Math lesson from the Unit Fractions and Their Relation to the Whole chapter, students learn to build and write fractions greater than one whole by counting unit fractions such as fourths beyond a single whole. Using fraction strips and number bonds, they explore how a numerator larger than the denominator indicates a quantity greater than 1 whole, for example recognizing that 5 fourths equals more than one whole orange. Students practice representing these fractions both visually and symbolically to deepen their understanding of the relationship between unit fractions and wholes.

In this Grade 3 Eureka Math lesson from Chapter 24, students learn to compare unit fractions such as one-half, one-third, one-fourth, one-sixth, and one-eighth by reasoning about their size using fraction strips and circle models. Students discover that as the number of equal parts in a whole increases, each unit fraction becomes smaller, regardless of the shape of the whole. The lesson builds conceptual understanding of fraction comparison using the symbols <, >, and =.

In this Grade 3 Eureka Math lesson from Chapter 24, students learn to compare unit fractions such as one-half and one-fourth when the models representing the whole are different sizes. Students discover that the size of the whole matters when comparing fractions, meaning a larger unit fraction does not always represent a greater amount if the wholes are not equal. The lesson builds on prior work with comparing unit fractions using same-sized wholes.

In this Grade 3 Eureka Math lesson from the chapter on Comparing Unit Fractions and Specifying the Whole, students learn to identify the corresponding whole when given one equal part, or unit fraction. Using hands-on materials like clay, paper strips, water, and yarn, students practice determining what 1 whole looks like when a single piece represents fractions such as one-half, one-third, one-fourth, or one-sixth. The lesson builds on prior knowledge of unit fractions and number bonds to reinforce the relationship between equal parts and the whole.

In this Grade 3 Eureka Math lesson from Chapter 24, students learn to identify the same shaded area as different unit fractions — such as one-fourth or one-half — depending on how the whole is defined. Through hands-on activities with index cards and fraction strips, students explore how changing the whole changes the fractional label of a given part, including cases where more than one whole is shaded, resulting in fractions greater than one. This lesson builds students' understanding that specifying the whole is essential to accurately naming any fractional part.

In this Grade 3 Eureka Math lesson from Chapter 25, students learn to place fractions on a number line with endpoints 0 and 1 by using fraction strips to measure and label unit fractions such as halves, thirds, fourths, and eighths. Students practice counting by fractional units and identifying how many unit fractions make 1 whole before applying those skills to mark fractional values at precise points along the number line. This lesson builds foundational number line reasoning that supports deeper fraction understanding in later grades.

In this Grade 3 Eureka Math lesson from Chapter 25, students learn to place any fraction, such as 2 thirds or 3 fifths, on a number line with endpoints 0 and 1 by partitioning the number line into equal parts and counting fractional units. Students use number bonds alongside number lines to understand how a fraction and its complement combine to make one whole. The lesson builds on prior work with unit fractions and prepares students to work fluently with non-unit fractions in Topic D.

In this Grade 3 Eureka Math lesson from Chapter 25, students learn to place whole number fractions and fractions between whole numbers on the number line, extending beyond the 0-to-1 interval to number lines with endpoints like 1 and 2 or 2 and 4. Students practice identifying equivalent fractions at whole number points, such as 4/4 equaling 1 and 8/4 equaling 2, and label fractions like thirds and fourths across multiple whole number intervals. The lesson builds on prior work with fractional units to develop students' understanding of fraction equivalence and their position on a continuous number line.

In this Grade 3 Eureka Math lesson from Chapter 25, students practice placing various fractions — including halves, thirds, and fourths — on number lines that extend beyond 1 whole, reinforcing their understanding of fractions greater than 1. Students label fractional units in sequence, identify equivalent fractions at whole number points, and compare unit fractions. The lesson builds fluency with fraction placement and fraction comparison across multiple fractional units.

In this Grade 3 Eureka Math lesson from Chapter 25, students learn to compare fractions and whole numbers on the number line by reasoning about their distance from 0. Using a large-scale number line, students place fractions such as one-sixth, one-third, and two-thirds and determine that greater distance from 0 indicates a greater value. The lesson builds on prior skills of placing unit fractions and equivalent fractions on the number line to develop a conceptual understanding of fraction comparison.

In this Grade 3 Eureka Math lesson from Chapter 25, students learn to compare fractions by analyzing their distance from 0 and their position on the number line. Using area models and number lines partitioned into equal units, students discover that a fraction farther to the right represents a greater value because it is a greater distance from 0. The lesson also distinguishes between a fraction's position on a number line and its distance from 0 as two distinct but related comparison strategies.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to recognize and show that equivalent fractions represent the same size even when the shapes differ. Using linking cubes and fraction templates, students explore how fractions like one-fourth can look different yet remain equal because the unit size and whole stay the same. The lesson builds on students' understanding of equal partitioning to introduce the concept of equivalence.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to recognize that equivalent fractions such as 1/2, 2/4, and 4/8 refer to the same point on the number line. Using fraction strips and number lines, students build hands-on understanding of how fractions with different denominators can represent equal values. This lesson strengthens foundational fraction concepts by connecting visual models to number line placement.

In this Grade 3 Eureka Math lesson from Chapter 26, students learn to generate simple equivalent fractions such as 2/4 and 4/8 or 2/3 and 4/6 using fraction strips and number lines as visual models. Students practice identifying relationships between equivalent fractions by exploring how partitioning units into smaller equal parts produces fractions with the same value. The lesson builds on prior work with placing fractions on a number line and decomposing a whole into unit fractions.

In this Grade 3 Eureka Math lesson from Chapter 26, students learn to generate simple equivalent fractions such as 1/2 = 2/4 and 1/3 = 2/6 using visual fraction models and number lines. Pairs of students create and compare number lines partitioned into units like halves, fourths, thirds, and sixths to identify and record equivalent fraction relationships. The lesson builds foundational understanding of equivalence through hands-on exploration with sentence strips, chart paper, and math journals.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to express whole numbers as fractions and recognize that 1 whole can be written as 2/2, 3/3, 4/4, or 6/6. Using hands-on fraction pieces, number bonds, and number lines, students explore how different fractional units can represent the same value. The lesson builds fluency with equivalent fractions and deepens understanding of the equal sign as a balance between expressions of the same quantity.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to express whole numbers as fractions — such as 1 = 3/3 = 2/2 = 1/1 — and place these whole number fractions on a number line where the unit interval is 1. Students use partitioned rectangle models and number lines to see that whole number fractions have the same value in the numerator and denominator, building understanding of equivalence between whole numbers and fractions.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to decompose whole number fractions greater than 1 using whole number equivalence. Using number bonds, number lines, and pictorial models, students explore how fractions like 8 fourths and 2 wholes represent the same quantity. The lesson builds understanding of how unit fractions combine into copies of 1 whole across multiple representations.

In this Grade 3 Eureka Math lesson from Chapter 26 on Equivalent Fractions, students learn to explain fraction equivalence by manipulating units and reasoning about the relationship between the number of parts and the size of parts. Using rectangular models and fraction strips, students partition wholes into thirds, sixths, and ninths to discover that as the number of equal parts increases, the size of each unit decreases while the whole stays the same. The lesson also reinforces naming fractions on a number line and writing equivalent fractions such as 12/6 = 2.

In this Grade 3 Eureka Math lesson, students learn to compare fractions with the same numerator by using pictorial models such as partitioned rectangles and circles. They discover that when numerators are equal, the fraction with the larger denominator is actually smaller because dividing a whole into more pieces produces smaller pieces. Students apply this understanding through guided examples and partner activities involving real-world contexts like hotdogs and pizza.

In this Grade 3 Eureka Math lesson from Chapter 27, students learn to compare fractions with the same numerator using the symbols <, >, and =. Using rectangular bar models, students reason about why a larger denominator means smaller unit fractions, such as comparing 2/3 and 2/6 or 5/6 and 5/9. The lesson builds fraction comparison skills through partner activities, fluency practice, and real-world application problems.

In this Grade 3 Eureka Math lesson from Chapter 27, students learn how to partition a whole into equal fractional parts using a number line method with lined paper, rather than relying on a ruler. Students practice identifying and marking precise fractional units such as thirds, fourths, and eighths by using the evenly spaced lines on notebook paper as a guide. The lesson also reinforces comparing fractions with the same numerator and fluency with multiplication by 9.

In this Grade 3 Eureka Math lesson from Chapter 28, students learn how to collect and organize categorical data using tally charts, including how to record tally marks in groups of five for efficient counting. Students conduct a class survey on favorite colors, practice cross-referencing a class list to track responses, and begin analyzing their results. The lesson builds foundational data literacy skills aligned with the Generate and Analyze Categorical Data topic.

In this Grade 3 Eureka Math lesson from Chapter 28, students learn how to rotate horizontal tape diagrams vertically and interpret the resulting vertical tape diagrams as a way to represent categorical data. Students practice writing multiplication equations to find the total value of each tape diagram, using a unit size greater than 1, and compare vertical tape diagrams to picture graphs. This lesson builds foundational data analysis skills by connecting multiplication concepts to visual data representation.

In this Grade 3 Eureka Math lesson from Chapter 28, students learn how to construct scaled bar graphs by converting vertical tape diagram data into both vertical and horizontal bar graph formats. Students practice choosing an appropriate scale, labeling axes, and interpreting bar values using units of 5. The lesson connects multiplication and division skills with data representation as students analyze and modify their graphs to reflect changes in categorical data.

In this Grade 3 Eureka Math lesson from Chapter 28, students learn to solve one- and two-step problems using data from bar graphs and line plots, applying addition and subtraction to answer questions such as "how many more" and "how many total." Students practice reading scaled bar graphs, interpreting line plots, and writing number sentences to represent their solutions. The lesson builds directly on graph-reading skills from earlier chapters and uses real-world data contexts like wing vibration counts and piano practice times.

In this Grade 3 Eureka Math lesson from Chapter 29, students learn to create their own rulers by partitioning a paper strip into whole-inch, half-inch, and quarter-inch intervals using lined paper as a guide. Students practice plotting and labeling tick marks at each unit of measurement, then use their handmade rulers to generate and record measurement data. The lesson builds on students' understanding of equal partitioning and connects measurement concepts to fractions on a number line.

In this Grade 3 Eureka Math lesson from Chapter 29, students learn to interpret measurement data displayed on line plots, including reading values and drawing conclusions from plotted measurements. The lesson also reinforces fluency with multiplication facts for units of 6 and 7, and connects to prior work with fractional measurements such as quarter inches and half inches. It is part of a unit focused on generating and analyzing measurement data.

In this Grade 3 Eureka Math lesson from Chapter 29, students learn how to represent measurement data using line plots, including data measured to the nearest quarter inch and half inch. Students interpret a table of real-world straw length measurements, identify the smallest and greatest values, and transfer the data onto a scaled line plot. The lesson builds on prior work with fractions and measurement to help students organize and analyze data visually.

In this Grade 3 Eureka Math lesson from Chapter 29, students learn how to represent measurement data using line plots, including plotting lengths measured to the nearest quarter inch on a number line with accurate intervals. Students practice identifying the correct number of quarter-inch intervals between data points, distinguishing between counting numbers and counting spaces. The lesson builds on prior work with fractions and measurement to develop data analysis skills.

In this Grade 3 Eureka Math lesson from Chapter 29, students use line plots with half-inch scales to analyze measurement data and solve problems. They practice interpreting tick marks, reading data points, and drawing conclusions from the information displayed. The lesson also reinforces multiplication and division fluency with units of 6, 7, 8, and 9 to support problem-solving skills.

In this Grade 3 Eureka Math lesson from Chapter 30, students learn to solve word problems in varied contexts by using a letter to represent an unknown quantity. The lesson guides students through the Read-Draw-Write process to set up and solve multi-step problems involving real-world scenarios such as ticket purchases. Fluency warm-ups including multiplying by 3 and equivalent counting with units of 2 build the foundational skills needed to tackle the problems.

In this Grade 3 Eureka Math lesson from Chapter 30, students learn to solve word problems in varied contexts by using a letter to represent an unknown quantity. The lesson covers one-step and preview two-step problems, including real-world scenarios involving measurements such as grams and milliliters given in the same units. Students also build multiplication fluency with units of 3 and 4 as part of the lesson's fluency practice.

In this Grade 3 Eureka Math lesson from Chapter 30, students use the Read-Draw-Write (RDW) process to solve multi-step word problems and then share, compare, and critique each other's solution strategies for accuracy and efficiency. Fluency practice includes multiplying by 4, skip-counting with units of 3, and identifying quadrilaterals, pentagons, and hexagons. Students evaluate sample peer work using tape diagrams and breaking apart multiplication facts to develop flexible mathematical thinking.

In this Grade 3 Eureka Math lesson, students learn to compare and classify quadrilaterals by examining their attributes, including the number of sides, parallel sides, and right angles. Using hands-on tools like index cards as right angle tools and cut-out polygon templates, students sort and group shapes such as squares, rectangles, and other four-sided figures based on shared properties. This lesson is part of Chapter 31: Attributes of Two-Dimensional Figures and builds students' foundational understanding of geometric classification.

In this Grade 3 Eureka Math lesson from Chapter 31, students compare and classify two-dimensional polygons by analyzing attributes such as the number of sides, sets of parallel sides, and right angles. Students learn to identify and distinguish between quadrilaterals, trapezoids, parallelograms, rectangles, and rhombuses using a hierarchical classification system. The lesson also reinforces multiplication fluency with units of 5 and 6 to support ongoing fact mastery.

In this Grade 3 Eureka Math lesson from Chapter 31, students learn to identify and draw polygons by analyzing specific attributes such as the number of sides, parallel sides, right angles, and equal side lengths. Using rulers and right angle tools, students classify shapes like quadrilaterals, trapezoids, and rectangles while exploring the relationship between squares and rectangles. The lesson builds geometric reasoning skills by having students construct and justify arguments about polygon attributes through hands-on drawing and partner work.

In this Grade 3 Eureka Math lesson from Chapter 31 on Attributes of Two-Dimensional Figures, students learn to compose and decompose polygons using tetrominoes, which are four-square shapes with an area of 4 square units each. Students practice rotating and flipping tetrominoes to build larger polygons such as rectangles and hexagons, developing spatial reasoning skills alongside their understanding of polygon properties. The lesson also reinforces fluency with multiplication facts for units of 5 and reviews key geometry terms including quadrilaterals, parallel sides, and right angles.

In this Grade 3 Eureka Math lesson from Chapter 31 on Attributes of Two-Dimensional Figures, students create a tangram puzzle by folding and cutting a square to explore geometric shapes such as triangles, quadrilaterals, and their spatial relationships. Students observe how larger shapes can be decomposed into smaller ones and examine properties like equal area and symmetry among the tangram pieces. The lesson also includes fluency practice with multiplication facts for units of 6 and 8 to reinforce ongoing arithmetic skills.

In this Grade 3 Eureka Math lesson from Chapter 31, students use tangram pieces to compose and decompose two-dimensional polygons, including rectangles, triangles, parallelograms, and trapezoids. Students practice identifying shared attributes of quadrilaterals and explore how different combinations of tangram shapes can form the same polygon. The lesson builds on prior knowledge of parallel sides and right angles to deepen geometric reasoning skills.

In this Grade 3 Eureka Math lesson from Chapter 32 on Problem Solving with Perimeter, students decompose a square into a new quadrilateral shape and trace each shape's outline to define perimeter as the boundary of a shape. By comparing the red-traced boundaries and blue-colored interiors, students distinguish perimeter from area and discover how rearranging a shape's parts can change its perimeter. This hands-on activity builds foundational understanding of perimeter using concrete materials before applying the concept to measurement problems.

In this Grade 3 Eureka Math lesson from Chapter 32, students explore perimeter as the boundary of a shape by creating tessellations — repeating a shape without gaps or overlaps to form a larger figure. Students use a string to physically measure the total perimeter of their tessellated designs and compare results with a partner. The hands-on activity builds a concrete understanding of how perimeter grows as more shapes are added to a tessellation.

In this Grade 3 Eureka Math lesson from the Problem Solving with Perimeter chapter, students learn to measure side lengths in whole number units using a ruler and add those measurements to determine the perimeter of polygons. Students practice tracing the boundary of shapes, labeling each side length in centimeters, and writing number sentences to find the total distance around the figure. This lesson builds foundational geometry skills by connecting hands-on measurement to the concept of perimeter.

In this Grade 3 Eureka Math lesson from Chapter 32, students explore perimeter as an attribute of plane figures by calculating the total distance around polygons using given side lengths. Students practice writing and solving equations that express perimeter as a sum of side lengths, and apply this skill to real objects like index cards measured with a ruler. The lesson also reinforces multiplication fluency with units of 4 and 8 to support related problem solving.

In this Grade 3 Eureka Math lesson from Chapter 32: Problem Solving with Perimeter, students learn to determine the perimeter of rectangles and regular polygons when one or more side lengths are unknown. Using properties of rectangles and regular polygons, students identify missing measurements and apply addition strategies to calculate total perimeter. The lesson builds on prior work with given side lengths and extends student thinking to algebraic reasoning in a geometric context.

In this Grade 3 Eureka Math lesson from Chapter 32, students learn to solve word problems to find the perimeter of shapes by adding given side lengths. Using real-world contexts like bulletin boards and index cards, students practice setting up and calculating perimeter equations for rectangles and other polygons. The lesson also reinforces multiplication fluency with units of 5 and 9 to support efficient computation.

In this Grade 3 Eureka Math lesson from the Problem Solving with Perimeter chapter, students learn how to measure the perimeter of circles by wrapping string around the edge of a circle and then measuring the string with a ruler to the nearest quarter inch. The hands-on activity helps students understand that curved shapes have a measurable perimeter, extending their understanding beyond straight-sided polygons.

In this Grade 3 Eureka Math lesson from Chapter 32, students learn to apply all four operations — addition, subtraction, multiplication, and division — to solve perimeter problems that include unknown side lengths. Working with irregular and composite shapes, students practice labeling unknown measurements with variables and using known side lengths to calculate missing values. The lesson builds on prior work with regular polygons and perimeter formulas to develop flexible problem-solving strategies.

In this Grade 3 Eureka Math lesson, students use unit square tiles to construct all possible rectangles for a given area, such as 18 square units, by applying multiplication facts to identify factor pairs. They then calculate the perimeter of each rectangle, discovering that different rectangles can share the same area but have different perimeters. This lesson builds fluency with both area and perimeter concepts within the context of Chapter 33 on recording perimeter and area data.

In this Grade 3 Eureka Math lesson, students use unit square tiles to construct all possible rectangles from given numbers of unit squares (12 through 18) and record their findings on a line plot. Students practice identifying unique rectangle dimensions using multiplication facts and plot data using an X-to-rectangle key. The lesson also reinforces the concept that area and perimeter have no fixed relationship, building on skills from Chapter 33.

In this Grade 3 Eureka Math lesson from Chapter 33, students learn to construct rectangles with a given perimeter using unit square tiles and then calculate their areas. The lesson teaches students to use the relationship between perimeter and side lengths — specifically that perimeter equals double the sum of the width and length — to find all possible rectangles for a given perimeter, such as 12 units. Students practice halving the perimeter to find the sum of the width and length, then identify all whole-number pairs that produce that sum.

In this Grade 3 Eureka Math lesson from Chapter 33, students learn how to construct multiple rectangles that all share a given perimeter using unit squares on centimeter grid paper. Students practice finding half the perimeter and identifying all possible width-and-length pairs that add up to that value, then calculate and compare the areas of the resulting rectangles. The lesson also introduces the concept that rectangles with the same perimeter can have different areas, including recognizing when a rectangle is a square.

In this Grade 3 Eureka Math lesson from Chapter 33, students use a line plot to organize and interpret measurement data by recording the number of rectangles they constructed for each given perimeter in previous lessons. Students practice partitioning equal intervals, labeling a number line with perimeter values, and marking X's to represent data points. The lesson also deepens understanding of perimeter properties as students explore why rectangles with whole number side lengths always have even perimeters.

In this Grade 3 Eureka Math lesson, students solve a variety of perimeter word problems involving shapes such as regular octagons and rectangles, practicing skills like finding unknown side lengths and calculating total perimeter across multiple shapes. Problems require two-step reasoning, such as dividing a known perimeter to find a missing side length or adding individual perimeters together. The lesson is part of Chapter 34 on Problem Solving with Perimeter and Area.

In this Grade 3 Eureka Math lesson, students apply their understanding of perimeter and area by selecting widths and lengths for rectangular shapes to design a robot, given specific perimeter measurements for each body part. They practice finding all possible whole-number side length combinations for a given perimeter, then compare the resulting areas to make design decisions. This hands-on project from Chapter 34 connects perimeter formulas to real problem-solving in a multi-day creative context.

In this Grade 3 Eureka Math lesson, students apply their understanding of perimeter and area by constructing a robot made entirely of rectangles, each built to match specified perimeter measurements. Students discover that shapes with the same perimeter can have different areas, deepening their conceptual understanding of the relationship between these two measurements. The hands-on project also incorporates multiplication and division fluency with units of 6 as part of the lesson's fluency practice.

In this Grade 3 Eureka Math lesson from the Problem Solving with Perimeter and Area chapter, students use rectangles with specified perimeter measurements to draw a robot, then explore how different rectangles with the same perimeter can produce different areas. The lesson reinforces key relationships between perimeter and area, including finding side lengths from a given perimeter and calculating area using whole-number dimensions. Students also practice multiplication facts for 7 and apply division to find equal side lengths of regular polygons.

In this Grade 3 Eureka Math lesson from Chapter 34, students apply their understanding of perimeter and area by drawing a robot made of rectangles, each built to match specific perimeter measurements. They practice calculating perimeter from given side lengths, explore how different rectangles can share the same perimeter while producing different areas, and evaluate peer work for accuracy using rulers and calculations. The lesson reinforces the relationship between perimeter and area in a hands-on, creative context.

In this Grade 3 Eureka Math lesson from Chapter 34, students solve multi-step word problems involving area and perimeter using addition, subtraction, multiplication, and division. Working with real-world contexts like rectangular gardens and connected squares, students practice calculating side lengths, area, and perimeter while applying a three-step problem-solving approach. The lesson also reinforces multiplication fluency with units of 8 and builds students' ability to assess the reasonableness of their solutions.

In this Grade 3 Eureka Math lesson from Chapter 34, students practice solving multi-step word problems involving area and perimeter using addition, subtraction, multiplication, and division. Problems include finding the perimeter and area of composite L-shaped figures, working backwards from area to find missing side lengths, and applying knowledge of squares to determine rope length with a given opening. Students use the three-step problem-solving approach to model situations, write equations, and check their answers for reasonableness.

In this Grade 3 Eureka Math lesson from Chapter 34 on Problem Solving with Perimeter and Area, students practice analyzing and critiquing peer strategies for solving real-world perimeter and area problems, such as calculating the length of rope needed to enclose a square space with a known area. Students examine sample work to evaluate accuracy, efficiency, and clarity of mathematical representations including drawings, tape diagrams, and number sentences. The lesson builds critical thinking by having students identify strengths and suggest improvements in how classmates organize and communicate their problem-solving steps.

In this Grade 3 Eureka Math lesson from the Year in Review chapter, students explore and create unconventional representations of one-half using 6-by-6 grid squares, learning to identify equal parts visually and verify them with precision. Students analyze shaded shapes to determine whether they show exactly one-half, discussing why equal parts are essential to the concept of fractions. The lesson also reinforces multiplication and division fluency within 100 and connects to area concepts through a real-world application problem.

In this Grade 3 Eureka Math lesson from the Year in Review chapter, students explore and create unconventional representations of one-half using circles divided into halves, fourths, and eighths through folding and measuring. Students practice expressing one-half in non-standard ways by shading different fractional combinations that equal one-half, such as two out of four or four out of eight sections. The lesson reinforces fraction concepts alongside fluency practice in mixed multiplication and division within 100.

In this Eureka Math Grade 3 Year in Review lesson, students solidify fluency with core Grade 3 math skills including mixed division with all quotients within 100 and multiplication of two one-digit numbers. The lesson uses timed sprints, partner drills, and mixed review games to reinforce mastery of multiplication and division facts. Students also reflect on their progress and identify favorite fluency activities to practice over the summer.

In this Grade 3 Eureka Math Year in Review lesson, students reinforce multiplication and division fluency through a timed Sprint covering all products and quotients within 100, then apply multi-step problem solving using multiplication, subtraction, and division. Students also assemble hands-on summer practice booklets by folding and cutting paper into eighths, connecting the activity to their understanding of fractions. The lesson helps third graders consolidate key Grade 3 math skills as they prepare for the transition to fourth grade.