eureka math 3rd grade lesson 17 homework 3.2

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Eureka Math Grade 3 Module 3 Lesson 17 Answer Key

Students of Grade 3 can get a strong foundation by referring to the Eureka Math Book. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping. To achieve high scores in Grade 3, students need to solve all questions and exercises included in Eureka Grade 3 Book.

Engage NY Eureka Math 3rd Grade Module 3 Lesson 17 Answer Key

Teachers and students can find this Eureka Book Answer Key for Grade 3 more helpful in raising students’ scores and supporting teachers to educate the students. Learning activities are the best option to educate elementary school kids and make them understand the basic mathematical concepts like addition, subtraction, multiplication, division, etc. Grade 3 elementary school students can find these fun-learning exercises for all math concepts through the Eureka Book.

Eureka Math Grade 3 Module 3 Lesson 17 Problem Set Answer Key

a. Color all the squares with even products orange. Can an even product ever have an odd factor?

Answer: 1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64.

b. Can an odd product ever have an even factor?

Answer: No, an odd product ever has an even factor.

Explanation: In the above-given question, given that, 1 x 1 = 1, 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 1 x 7 = 8, 1 x 8 = 8, 2 x 1 = 2, 2 x 2 = 4, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 2 x 7 = 14, 2 x 8 = 16, 3 x 1 = 3, 3 x 2 = 6, 3 x 3 = 9, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 3 x 7 = 21, 3 x 8 = 24, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20, 4 x 6 = 24, 4 x 7 = 28, 4 x 8 = 32, 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 = 25, 5 x 6 = 30, 5 x 7 = 35, 5 x 8 = 40, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30, 6 x 6 = 36, 6 x 7 = 42, 6 x 8 = 48, 7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 = 40, 8 x 6 = 48, 8 x 7 = 56, 8 x 8 = 64. No, an odd product ever has an even factor.

c. Everyone knows that 7 × 4 = (5 × 4) + (2 × 4). Explain how this is shown in the table.

Answer: 7 x 4 = 28. 5 x 4 = 20. 2 x 4 = 8. 20 + 8 = 28.

Explanation: In the above-given question, given that, 7 x 4 = 28. 5 x 4 = 20. 2 x 4 = 8. 20 + 8 = 28.

d. Use what you know to find the product of 7 × 16 or 8 sevens + 8 sevens.

Answer: 7 x 16 = 112.

Explanation: In the above-given question, given that, 7 x 6 = 112. 8 sevens + 8 sevens. 8 x 7 + 8 x 7. 56 + 56. 112.

Answer: 1 x 2 = 2, 1 x 3 = 3, 1 x 4 = 4, 1 x 5 = 5, 1 x 6 = 6, 2 x 1 = 2, 2 x 3 = 6, 2 x 4 = 8, 2 x 5 = 10, 2 x 6 = 12, 3 x 1 = 3, 3 x 2 = 6, 3 x 4 = 12, 3 x 5 = 15, 3 x 6 = 18, 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 5 = 20, 4 x 6 = 24, 5 x 1 = 5, 5 x 2 = 1, 5 x 3 = 15, 5 x 4 = 20, 5 x 6 = 30, 6 x 1 = 6, 6 x 2 = 12, 6 x 3 = 18, 6 x 4 = 24, 6 x 5 = 30.

b. Draw an array to match each expression in the table below. Then, label the number of squares you added to make each new array. The first two arrays have been done for you.

Answer: 1 + 2 = 3. 3 + 6 = 9. 6 + 10 = 16. 10 + 15 = 25. 15 + 21 = 36.

c. What pattern do you notice in the number of squares that are added to each new array?

Answer: 1 + 3 = 4. 4 + 6 = 9. 6 + 10 = 16. 10 + 15 = 25. 15 + 21 = 36.

Explanation: In the above-given question, given that, 1 + 3 = 4. 4 + 6 = 9. 6 + 10 = 16. 10 + 15 = 25. 15 + 21 = 36.

d. Use the pattern you discovered in Part (b) to prove this: 9 × 9 is the sum of the first 9 odd numbers.

Answer: 9 x 9 = 81.

Explanation: In the above-given question, given that, 9 x 9 = 81. the sum of the first 9 odd numbers is 81. 9 x 9 = 81.

Eureka Math Grade 3 Module 3 Lesson 17 Exit Ticket Answer Key

Question 1. Use what you know to find the product of 8 × 12 or 6 eights + 6 eights.

Answer: 8 x 12 = 96.

Explanation: In the above-given question, given that, 8 x 12 = 96. 6 eights + 6 eights. 6 x 8 + 6 x 8. 48 + 48. 96.

Question 2. Luis says 3 × 233 = 626. Use what you learned about odd times odd to explain why Luis is wrong.

Answer: 3 x 233 = 626.

Explanation: In the above-given question, given that, 3 x 233 = 626. odd x odd = odd. but in the given question, Luis is wrong. 3 x 233 = 626. 625 + 1.

Eureka Math Grade 3 Module 3 Lesson 17 Homework Answer Key

b. Color the rows and columns with even factors yellow.

Answer: The even factors are color with yellow.

c. What do you notice about the factors and products that are left unshaded

Answer: The factors that are left unshaded is odd numbers.

Explanation: In the above-given question, given that, the factors that are left unshaded is odd. the factors that are in diagonals is even.

d. Complete the chart by filling in each blank and writing an example for each rule.

Answer: odd times odd equals = odd. even times even equals = even. even times odd equals = even.

Explanation: In the above-given question, given that, odd times odd equals = odd. even times even equals = even. even times odd equals = even. 9 x 9 = 81. 2 x 2 = 4. 4 x 3 = 12.

e. Explain how 7 × 6 = (5 × 6) + (2 × 6) is shown in the table

Answer: 7 x 6 = 42.

Explanation: In the above-given question, given that, 7 x 6 = 42. 5 x 6 = 30. 2 x 6 = 12. ( 5 x 6 ) + (2 x 6 ). 30 + 12 = 42.

f. Use what you know to find the product of 4 × 16 or 8 fours + 8 fours.

Answer: 4 x 16 = 64.

Explanation: In the above-given question, given that, 4 x 16 = 64. 8 fours + 8 fours. 8 x 4 + 8 x 4. 32 + 32. 64.

Question 2. Today in class, we found that n × n is the sum of the first n odd numbers. Use this pattern to find the value of n for each equation below. The first is done for you. a. 1 + 3 + 5 = n × n

b. 1 + 3 + 5 + 7 = n × n

Answer: 16 = 4 x 4.

Explanation: In the above-given question, given that, 16 = 4 x 4. 1 + 3 + 5 + 7 = n x n. n = 4. 4 x 4 = 16. 1 + 3 + 5 + 7 = 16.

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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.  

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.

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.

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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