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Eureka Math Student Materials: Grades K–5

Learn, Practice, Succeed

Learn, Practice, and Succeed from   Eureka Math™   offer teachers multiple ways to differentiate instruction, provide extra practice, and assess student learning. These versatile companions to   A Story of Units®   (Grades K–5) guide teachers in response to intervention (RTI), provide extra practice, and inform instruction.

Also available for Grades 6–8 . 

Learn, Practice, Succeed can be purchased all together or bundled in any configuration. Contact your account solutions manager for more information and pricing.  

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The Learn book serves as a student’s in-class companion where they show their thinking, share what they know, and watch their knowledge build every day!

Application Problems:  Problem solving in a real-world context is a daily part of   Eureka Math , building student confidence and perseverance as students apply their knowledge in new and varied ways.

Problem Sets :  A carefully sequenced Problem Set provides an in-class opportunity for independent work, with multiple entry points for differentiation.

Exit Tickets:   These exercises check student understanding, providing the teacher with immediate, valuable evidence of the efficacy of that day’s instruction and informing next steps.

Templates:   Learn   includes templates for the pictures, reusable models, and data sets that students need for   Eureka Math   activities.

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With   Practice , students build competence in newly acquired skills and reinforce previously learned skills in preparation for tomorrow’s lesson.   Together,   Learn   and   Practice   provide all the print materials a student uses for their core instruction.

Eureka Math  contains multiple daily opportunities to build fluency in   mathematics . Each is designed with the same notion—growing every student’s ability to use mathematics   with ease . Fluency experiences are generally fast-paced and energetic, celebrating improvement and focusing on recognizing patterns and connections within the material.

Eureka Math   fluency activities provide differentiated practice through a variety of formats—some are conducted orally, some use manipulatives, others use a personal whiteboard, or a handout and paper-and-pencil format.

Sprints:  Sprint fluency activities in  Eureka Math Practice  build speed and accuracy with already acquired skills. Used when students are nearing optimum proficiency, Sprints leverage tempo to build a low-stakes adrenaline boost that increases memory and recall. Their intentional design makes Sprints inherently differentiated – the problems build from simple to complex, with the first quadrant of problems being the simplest, and each subsequent quadrant adding complexity.

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Eureka Math Succeed   enables students to work individually toward mastery.  Teachers and tutors can use  Succeed   books from prior grade levels as curriculum-consistent tools for filling gaps in foundational knowledge. Students will thrive and progress more quickly, as familiar models facilitate connections to their current, grade-level content.

Additional Problem Sets:  Ideal for Homework or extra practice, these additional problem sets align lesson-by-lesson with what is happening in the classroom. These problems are sequenced from simple-to-complex to naturally scaffold student practice. They align with   Eureka Math   and use the curriculum’s mathematical models and language, ensuring that students feel the connections and relevance to their daily instruction, whether they are working on foundational skills or getting extra practice on the current topic.

Homework Helpers:   Each problem set is accompanied by a Homework Helper, a set of worked examples that illustrate how similar problems are solved. The examples, viewed side by side with the homework, support students as they reinforce the day’s learning. Homework Helpers are also a great way to keep parents informed about math class.

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Bundle options are available for all of our materials (print, digital, PD, etc.). Prices vary by grade and size of class set. Certain grade-levels do not include all packets due to the nature of the grade-level content. Student workbooks are available in class sets of 20, 25, and 30. Prices vary by size of class set .

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4th grade (Eureka Math/EngageNY)

Unit 1: module 1: place value, rounding, and algorithms for addition and subtraction, unit 2: module 2: unit conversions and problem solving with metric measurement, unit 3: module 3: multi-digit multiplication and division, unit 4: module 4: angle measure and plane figures, unit 5: module 5: fraction equivalence, ordering, and operations, unit 6: module 6: decimal fractions, unit 7: module 7: exploring measurement with multiplication.

Eureka Math Grade 5 Module 4 Lesson 32 Answer Key

Engage ny eureka math 5th grade module 4 lesson 32 answer key, eureka math grade 5 module 4 lesson 32 problem set answer key.

Question 1. Circle the expression equivalent to the sum of 3 and 2 divided by \(\frac{1}{3}\). \(\frac{1}{2}\) 3 + (2 ÷ \(\frac{1}{3}\)) (3 + 2) ÷ \(\frac{1}{3}\) \(\frac{1}{3}\) ÷ (3 + 2) Answer:

Question 2. Circle the expression(s) equivalent to 28 divided by the difference between \(\frac{4}{5}\) and \(\frac{7}{10}\). 28 ÷ (\(\frac{4}{5}\) – \(\frac{7}{10}\)) \(\frac{28}{\frac{4}{5}-\frac{7}{10}}\) (\(\frac{4}{5}\) – \(\frac{7}{10}\)) ÷ 28 28 ÷ (\(\frac{7}{10}\) – \(\frac{4}{5}\)) Answer:

Question 3. Fill in the chart by writing an equivalent numerical expression.

Question 4. Compare expressions 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know. Answer:

Question 5. Fill in the chart by writing an equivalent expression in word form.

Question 6. Compare the expressions in 5(a) and 5(c). Without evaluating, identify the expression that is less. Explain how you know. Answer:

Question 7. Evaluate the following expressions. a. (9 – 5) ÷ \(\frac{1}{3}\) b. \(\frac{5}{3}\) × (2 × \(\frac{1}{4}\)) c. \(\frac{1}{3}\) ÷ (1 ÷ \(\frac{1}{4}\)) d. \(\frac{1}{2}\) × \(\frac{3}{5}\) × \(\frac{5}{3}\) e. Half as much as (\(\frac{3}{4}\) × 0.2) f. 3 times as much as the quotient of 2.4 and 0.6 Answer:

Question 8. Choose an expression below that matches the story problem, and write it in the blank. \(\frac{2}{3}\) × (20 – 5) (\(\frac{2}{3}\) × 20) – (\(\frac{2}{3}\) × 5) \(\frac{2}{3}\) × 20 – 5 (20 – \(\frac{2}{3}\)) – 5 a. Farmer Green picked 20 carrots. He cooked \(\frac{2}{3}\) of them, and then gave 5 to his rabbits. Write the expression that tells how many carrots he had left. Expression: ___________________________ b. Farmer Green picked 20 carrots. He cooked 5 of them, and then gave \(\frac{2}{3}\) of the remaining carrots to his rabbits. Write the expression that tells how many carrots the rabbits will get. Expression: ___________________________ Answer:

Eureka Math Grade 5 Module 4 Lesson 32 Exit Ticket Answer Key

Question 1. Write an equivalent expression in numerical form. A fourth as much as the product of two-thirds and 0.8 Answer:

Question 2. Write an equivalent expression in word form. a. \(\frac{3}{8}\) × (1 – \(\frac{1}{3}\)) b. (1 – \(\frac{1}{3}\)) ÷ 2 Answer:

Question 3. Compare the expressions in 2(a) and 2(b). Without evaluating, determine which expression is greater, and explain how you know. Answer:

Eureka Math Grade 5 Module 4 Lesson 32 Homework Answer Key

Question 1. Circle the expression equivalent to the difference between 7 and 4, divided by a fifth. 7 + (4 ÷ \(\frac{1}{5}\)) \(\frac{7-4}{5}\) (7 – 4) ÷ \(\frac{1}{5}\) \(\frac{1}{5}\) ÷ (7 – 4) Answer:

Question 2. Circle the expression(s) equivalent to 42 divided by the sum of \(\frac{2}{3}\) and \(\frac{3}{4}\). (\(\frac{2}{3}\) + \(\frac{3}{4}\)) ÷ 42 (42 ÷ \(\frac{2}{3}\)) + \(\frac{3}{4}\) 42 ÷ (\(\frac{2}{3}\) + \(\frac{3}{4}\)) \(\frac{42}{\frac{2}{8}+\frac{3}{4}}\) Answer:

Question 3. Fill in the chart by writing the equivalent numerical expression or expression in word form.

Question 4. Compare the expressions in 3(a) and 3(b). Without evaluating, identify the expression that is greater. Explain how you know. Answer:

Question 5. Evaluate the following expressions. a. (11 – 6) ÷ \(\frac{1}{6}\) b. \(\frac{9}{5}\) × (4 × \(\frac{1}{6}\)) c. \(\frac{1}{10}\) ÷ (5 ÷ \(\frac{1}{2}\)) d. \(\frac{3}{4}\) × \(\frac{2}{5}\) × \(\frac{4}{3}\) e. 50 divided by the difference between \(\frac{3}{4}\) and \(\frac{5}{8}\) Answer:

Question 6. Lee is sending out 32 birthday party invitations. She gives 5 invitations to her mom to give to family members. Lee mails a third of the rest, and then she takes a break to walk her dog. a. Write a numerical expression to describe how many invitations Lee has already mailed. b. Which expression matches how many invitations still need to be sent out? 32 – 5 – \(\frac{1}{3}\)(32 – 5) \(\frac{2}{3}\) × 32 – 5 (32 – 5) ÷ \(\frac{1}{3}\) \(\frac{1}{3}\) × (32 – 5) Answer:

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Eureka Math Grade 5 Module 4 Lesson 23 Answer Key

Engage ny eureka math 5th grade module 4 lesson 23 answer key, eureka math grade 5 module 4 lesson 23 problem set answer key.

Eureka Math Grade 5 Module 4 Lesson 23 Problem Set Answer Key 1

a. 3.4 × _______ = 3.4

Answer: 3.4 × 1.00 = 3.4

b. _______ × 0.21 > 0.21

Answer: 1.021 × 0.21 > 0.21.

c. 8.04 × _______ < 8.04

Answer: 8.04 × 0.989 < 8.04.

Question 2. a. Sort the following expressions by rewriting them in the table.

Eureka Math Grade 5 Module 4 Lesson 23 Problem Set Answer Key 2

b. Explain your sorting by writing a sentence that tells what the expressions in each column of the table have in common.

Answer: Here, in the first column, the boxed number is multiplied by a scaling factor less than 1. So the product will be less than the boxed number. In the second column, the boxed number is multiplied by a scaling factor greater than 1.

Question 3. Write a statement using one of the following phrases to compare the value of the expressions. Then, explain how you know.

Eureka Math Grade 5 Module 4 Lesson 23 Problem Set Answer Key 3

a. 4 × 0.988 _________________________________ 4

b. 1.05 × 0.8 _________________________________ 0.8

c. 1,725 × 0.013 _________________________________ 1,725

d. 989.001 × 1.003 _________________________________ 1.003

e. 0.002 × 0.911 _________________________________ 0.002

Answer: a. 4 × 0.988 is less than slightly 4 because 0.988 is slightly less than 1.

b. 1.05 × 0.8 is slightly more than 0.8 because 0.1 is a little more than 1.

c. 1,725 × 0.013 is a lot less than 1,725 because 0.013 is a lot less than 1.

d. 989.001 × 1.003 is a lot more than 1.003 because 989.001 is a lot more than 1.

e. 0.002 × 0.911 is slightly less than 0.002 because 0.911 is a little less than 1.

Question 4.

During science class, Teo, Carson, and Dhakir measure the length of their bean sprouts. Carson’s sprout is 0.9 times the length of Teo’s, and Dhakir’s is 1.08 times the length of Teo’s. Whose bean sprout is the longest? The shortest? Explain your reasoning.

Answer: Dhakir’s bean sprouts are the longest and Teo’s bean sprouts are the shortest.

Explanation: Here, Dhakir’s bean sprouts are the longest, because it is slightly more than 1 time. The length of the Teo’s bean sprouts. Carson bean sprout is the shortest because it is a little less than 1 time the length of the Teo’s.

Question 5. Complete the following statements; then use decimals to give an example of each. • a × b > a will always be true when b is…

Answer: It’s true when b is greater than one.

Explanation: Let’s take an example of a × b > a 3.15 × 1.3 = 4.095 and here 4.095 > 3.15 and it is true when b is greater than one.

• a × b < a will always be true when b is…

Answer: It’s true when b is less than one.

Explanation: Let’s take an example of a × b < a 3.15 × 0.7 = 2.205 and here 2.205 < 3.15 and it is true when b is less than one.

Eureka Math Grade 5 Module 4 Lesson 23 Exit Ticket Answer Key

Engage NY Math 5th Grade Module 4 Lesson 23 Exit Ticket Answer Key 4

a. 3.06 × _______ < 3.06

b. 5.2 × _______ = 5.2

c. _______ × 0.89 > 0.89

Answer: a. 3.06 × 0.898 < 3.06.

b. 5.2 × 1.00 = 5.2.

c. 1.009× 0.89 > 0.89.

Question 2. Will the product of 22.65 × 0.999 be greater than or less than 22.65? Without calculating, explain how you know.

Answer: It will be less.

Explanation: It’s a decimal so it’ll be a bit less than 22.65.

Eureka Math Grade 5 Module 4 Lesson 23 Homework Answer Key

Question 1. Sort the following expressions by rewriting them in the table.

Eureka Math 5th Grade Module 4 Lesson 23 Homework Answer Key 5

b. What do the expressions in each column have in common?

Eureka Math 5th Grade Module 4 Lesson 23 Homework Answer Key 6

b. 1.01 × 2.06 _______________________________ 2.06

c. 1,955 × 0.019 _______________________________ 1,955

d. Two thousand × 1.0001 _______________________________ two thousand

e. Two-thousandths × 0.911 _______________________________ two-thousandths

a. 14 × 0.999 is slightly less than 14.

b. 1.01 × 2.06 is slightly more than 2.06.

c. 1,955 × 0.019 a lot less than 1,955.

d. Two thousand × 1.0001 is slightly more than two thousand.

e. Two-thousandths × 0.911 is slightly less than two-thousandths.

Question 3. Rachel is 1.5 times as heavy as her cousin, Kayla. Another cousin, Jonathan, weighs 1.25 times as much as Kayla. List the cousins, from lightest to heaviest, and explain your thinking.

Answer: Kayal, Jonathan, Rachel.

Explanation: Here, Kayal is the lightest after Kayal Jonathan and then Rachel is the heaviest

Eureka Math 5th Grade Module 4 Lesson 23 Homework Answer Key 7

Answer: Greater than 1

Explanation: 4.15 × 1.3 = 4.095 and here 5.395 > 4.15 and it is true when b is greater than one. 2.5 × 0.5 = 1.25 and here 1.25 < 2.5 and it is true when b is less than one.

Eureka Math 5th Grade Module 4 Lesson 23 Homework Answer Key 8

Explanation: Let’s take an example of a × b < a 3.15 × 0.7 = 2.205 and here 2.205 < 3.15 and it is true when b is less than one. 5.2 × 1.6 = 8.32 and here 8.32 > 5.2 and it is true when b is greater than one.

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IMAGES

  1. Eureka Math Module 5 Lesson 14 Homework

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  2. Eureka math grade 5 module 5 lesson 14 homework

    eureka math lesson 14 homework 4.5 answer key

  3. Eureka math grade 5 module 4 lesson 14 problem set

    eureka math lesson 14 homework 4.5 answer key

  4. Engage NY // Eureka Math Grade 5 Module 4 Lesson 14 Homework

    eureka math lesson 14 homework 4.5 answer key

  5. Eureka math grade 5 module 5 lesson 14 problem set common core

    eureka math lesson 14 homework 4.5 answer key

  6. Eureka math grade 5 module 4 lesson 14 problem set

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  1. Eureka Math Lesson 10 Concept Development

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  3. Eureka Math homework help

  4. Eureka Math Lesson 9

  5. Eureka Math, Lesson 9, Application Problem

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COMMENTS

  1. Eureka Math Grade 5 Module 4 Lesson 14 Answer Key

    Eureka Math Grade 5 Module 4 Lesson 14 Exit Ticket Answer Key. Question 1. Solve. Draw a rectangular fraction model to explain your thinking. Then, write a number sentence. of =. Question 2. In a cookie jar, of the cookies are chocolate chip, and of the rest are peanut butter.

  2. Eureka Math Grade 4 Module 5 Lesson 14 Answer Key

    Eureka Math Grade 4 Module 5 Lesson 14 Homework Answer Key. Question 1. Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =. a. 1 third _____ 1 sixth. Answer: 1 third > 1 sixth. Explanation: In the above-given question, given that, compare the pairs of fractions by reasoning about the size of the units. 1 ...

  3. PDF Lesson 14 Homework 4 5

    Lesson 14 Homework 4• 5 4. Draw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare. a. 3 4 _____ 5 8 b. 11 12 _____ 3 4 c. 4 5 _____ 7 10 d. 8 9 _____ 2 3 5. Compare each pair of fractions using >, <, or =. Draw a model if you choose to. a. 1 7 _____ 2 7 b. 5 7 _____ 11 14 c. 7 10 _____ 3 5 d ...

  4. Eureka Math Grade 4 Module 5 Lesson 14

    EngageNY/Eureka Math Grade 4 Module 5 Lesson 14For more videos, please visit http://bit.ly/eurekapusdPLEASE leave a message if a video has a technical diffic...

  5. PDF Answer Key Eureka Math Grade 5 Module 4

    Answer Key Eureka Math Grade 5 Module 4 - Amazon Web Services ... a. ...

  6. Course: G4M5: Fraction Equivalence, Ordering, and Operations

    Eureka Math Curriculum; Curriculum Standards; Other Resources; Virtual Manipulatives; FAQ; Course search Close. ... Teach Eureka Lesson Breakdown URL. Downloadable Resources Page. Teacher editions, student materials, application problems, sprints, etc. ... Lesson 14 Video Page. Lesson PDF Page. Homework Solutions Page. Promethean ...

  7. PDF Answer Key Eureka Math® Grade 1 Module 3

    Eureka Math. Eureka Math® Grade 1 Module 3 TEKS EDITION ... 4. 5 b. 4 c. 5 d. 7 5. Hair clip; marker 6. Longer circled Exit Ticket 1. 5 2. 4 3. 6 4. 4 Homework 1. a. ... A STORY OF UNITS TEKS EDITION Lesson 9 Answer Key 1 • 3 210 Module 3: Ordering and Comparing Length Measurements as Numbers

  8. Eureka Math Homework Time Grade 4 Module 5 Lesson 14

    It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 14.

  9. PDF Grade 4 • Module 7

    Lesson 4 Answer Key 4• 7 Lesson 4 Problem Set 1. 240 minutes 4. 66,000 mL 2. 112 ounces 5. 86 ounces 3. 36 feet Exit Ticket 8 ounces Homework 1. 360 minutes 5. 14 2. 56 ounces 6. a. 45 quarts (or equivalent) 3. 1,350 mL b. No; answers will vary 4. 12 feet 9 A STORY OF UNITS

  10. PDF Lesson 12 Homework 4 5

    Lesson 12: Reason using benchmarks to compare two fractions on the number line. Lesson 12 Homework 4 5 3. } u Z ( ] } v P ] À v o } Á Ç Á ] ] v P E } Y } v Z o ] v X Give a brief explanation for each answer referring to the benchmark of 0, 1 2, and 1. a. 1 2 _____ 1 4 b. 6 8

  11. PDF Dearborn Public Schools

    Learn how to compare fractions with different units and denominators with this module 5 lesson 14 homework answer key.

  12. Printed Materials

    As the creator of Engage NY Math and Eureka Math, Great Minds is the only place where you can get print editions of the PK-12 curriculum.Our printed materials are available in two configurations: Learn, Practice, Succeed, or student workbooks, teacher editions, assessment and fluency materials. The Learn, Practice, Succeed configuration is available for grades K-8 and offers teachers ...

  13. Eureka Math Student Materials: Grades K-5

    Bundle options are available for all of our materials (print, digital, PD, etc.). Prices vary by grade and size of class set. Certain grade-levels do not include all packets due to the nature of the grade-level content. Student workbooks are available in class sets of 20, 25, and 30. Prices vary by size of class set.

  14. 4th Grade Math (Eureka Math/EngageNY)

    4th grade (Eureka Math/EngageNY) 7 units · 152 skills. Unit 1 Module 1: Place value, rounding, and algorithms for addition and subtraction. Unit 2 Module 2: Unit conversions and problem solving with metric measurement. Unit 3 Module 3: Multi-digit multiplication and division. Unit 4 Module 4: Angle measure and plane figures.

  15. PDF Lesson 13 Homework 4 5

    Lesson 13: Reason using benchmarks to compare two fractions on the number line. Lesson 13 Homework 4 5 Name Date 1. Place the following fractions on the number line given. a. 3 2 b. 9 5 c. 14 10 2. Use the number line in Problem 1 to compare the fractions Ç Á ] ] v P E U Y U } A } v Z o ] v : a. 11 6

  16. Eureka Math Grade 5 Module 4 Lesson 4 Answer Key

    Engage NY Eureka Math 5th Grade Module 4 Lesson 4 Answer Key Eureka Math Grade 5 Module 4 Lesson 4 Problem Set Answer Key. Question 1. Draw a tape diagram to solve. Express your answer as a fraction. Show the multiplication sentence to check your answer. The first one is done for you. a. 1 ÷ 3 = \(\frac{1}{3}\) b. 2 ÷ 3 = Answer: 2/3 ...

  17. Eureka math grade 5 module 4 lesson 16 homework

    Solve word problems using tape diagrams and fraction by fraction multiplication, common core, help students, help teachers, help parents

  18. Eureka Math Grade 5 Module 4 Lesson 32 Answer Key

    Eureka Math Grade 5 Module 4 Lesson 32 Homework Answer Key. Question 1. Circle the expression equivalent to the difference between 7 and 4, divided by a fifth. Question 2. Circle the expression (s) equivalent to 42 divided by the sum of 23 and 34. Question 3.

  19. Eureka Math Grade 4 Module 5 Lesson 4 Answer Key

    2/3 = 4/6 + 4/6. 2/3 = 8/12 + 8/12 + 8/12 + 8/12. Eureka Math 4th Grade Module 5 Lesson 4 Homework Answer Key. Question 1. The total length of each tape diagram represents 1. Decompose the shaded unit fractions as the sum of smaller unit fractions in at least two different ways. The first one has been done for you. a.

  20. Eureka Math Grade 5 Module 4 Lesson 23 Answer Key

    Eureka Math Grade 5 Module 4 Lesson 23 Problem Set Answer Key. Question 1. Fill in the blank using one of the following scaling factors to make each number sentence true. 1.021 × 0.21 > 0.21. 8.04 × 0.989 < 8.04. Question 2. a. Sort the following expressions by rewriting them in the table.