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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.

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6th Grade Science Unit 4.5: Constructing Keys Guided Notes & Practice Questions

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Unit 4.5 Constructing Keys guided notes.

Students will be able to:

1. Learn how to create your own key.                                                                2. Learn how to change your key following feedback.                                                          There is a complete teacher slideshow and a student fill in the blank slideshow.

The slideshows contain information from each topic within the unit.

The slideshow contains the following information:

-A getting started (hook) question.

-The Cambridge learning objectives.

-A list of key terms.

-Guided fill in the blank notes.

-Practice questions.

-I know and I can statements.

You can use the slideshow digitally or on paper.  I have found success printing the slides, two per page and projecting the slideshow, allowing students to fill in the blanks as we discuss the material.

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Eureka Math Grade 4 Module 5 Lesson 26 Answer Key

Engage ny eureka math 4th grade module 5 lesson 26 answer key, eureka math grade 4 module 5 lesson 26 problem set answer key.

Engage NY Math Grade 4 Module 5 Lesson 26 Problem Set Answer Key 1

Answer: 2\(\frac{7}{8}\) = 2.8.

Explanation: In the above-given question, given that, plot the points on the number line. 2(7/8). 2 x 8 = 16. 16 + 7/8. 23/8 = 2.875. 2\(\frac{7}{8}\) = 2.8.

Answer: \(\frac{29}{12}\) = 2.4.

Explanation: In the above-given question, given that, plot the points on the number line. 29/12 = 2.41. \(\frac{29}{12}\) = 2.4

Answer: 3\(\frac{1}{6}\) = 3.1.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-1

b. Use the number line in Problem 1(a) to compare the fractions by writing >, ˂, or =. i. \(\frac{29}{12}\) ____<___ 2\(\frac{7}{8}\)

Answer: 29/12  <  2(7/8).

Explanation: In the above-given question, given that, plot the points on the number line. 2(7/8). 2 x 8 = 16. 16 + 7/8. 23/8 = 2.875. 29/12 = 2.4 2.4 < 2.875.

ii. \(\frac{29}{12}\) ___<______ 3\(\frac{1}{6}\)

Answer: 29/12  <  3(1/6).

Explanation: In the above-given question, given that, plot the points on the number line. 3(1/6). 3 x 6 = 18. 18 + 1/6. 19/6 = 3.1. 29/12 = 2.4 3.1 > 2.4.

Question 2. a. Plot the following points on the number line without measuring. i. \(\frac{70}{9}\)

Answer: \(\frac{70}{9}\) = 7.7

Explanation: In the above-given question, given that, plot the points on the number line. 70/9 = 7.7. \(\frac{70}{9}\) = 7.7.

ii. 8\(\frac{2}{4}\)

Answer: 8\(\frac{2}{4}\) = 8.5.

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5.. 8\(\frac{2}{4}\) = 8.5.

iii. \(\frac{25}{3}\)

Answer: \(\frac{25}{3}\) = 8.3.

Explanation: In the above-given question, given that, plot the points on the number line. 25/3 = 8.3. \(\frac{25}{3}\) = 8.3.

Engage NY Math Grade 4 Module 5 Lesson 26 Problem Set Answer Key 2

b. Compare the following by writing >, ˂, or =. i. 8\(\frac{2}{4}\) ___<____ \(\frac{25}{3}\)

Answer: 25/3  <  8(2/4).

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5. 25/3 = 8.3. 8.3 < 8.5.

ii. \(\frac{70}{9}\) ____<_____ 8\(\frac{2}{4}\)

Answer: 70/9  <  8(2/4).

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5. 70/9 = 7.7 7.7 < 8.5. c. Explain how you plotted the points in Problem 2(a).

Question 3. Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. a. 5\(\frac{1}{3}\) ____>______ 4\(\frac{3}{4}\)

Answer: 4(3/4)  >  5(1/3).

Explanation: In the above-given question, given that, plot the points on the number line. 4(3/4). 4 x 4 = 16. 16 + 3/4. 19/4 = 4.75. 5(1/3). 5 x 3 = 15. 15 + 1/3. 16/3 = 5.3. 4.7 < 5.3.

b. \(\frac{12}{6}\) ____=_______ \(\frac{25}{12}\)

Answer: 12/6  =  25/12.

Explanation: In the above-given question, given that, plot the points on the number line. 12/6 = 2. 25/12 = 2.0. 2.0 = 2.0.

c. \(\frac{18}{7}\) ____<______ \(\frac{17}{5}\)

Answer: 18/7  <  17/5.

Explanation: In the above-given question, given that, plot the points on the number line. 18/7 = 2.5. 17/5 = 3.4. 2.5 < 3.4.

d. 5\(\frac{2}{5}\) _____<_____ 5\(\frac{5}{8}\)

Answer: 5(2/5)  <  5(5/8).

Explanation: In the above-given question, given that, plot the points on the number line. 5(2/5). 5 x 5 = 25. 25 + 2/5. 27/5 = 5.4. 5(5/8). 5 x 8 = 40. 40 + 5/8. 45/8 = 5.6. 5.4 < 5.6.

e. 6\(\frac{2}{3}\) ___>_______ 6\(\frac{3}{7}\)

Answer: 6(2/3)  >  6(3/7).

Explanation: In the above-given question, given that, plot the points on the number line. 6(2/3). 6 x 3 = 18. 18 + 2/3. 20/3 = 6.6. 6(3/7). 6 x 7 = 42. 42 + 3/7. 45/7 = 6.4. 6.6 > 6.4

f. \(\frac{31}{7}\) ____>______ \(\frac{32}{8}\)

Answer: 31/7  >  32/8.

Explanation: In the above-given question, given that, plot the points on the number line. 31/7 = 4.4. 32/8 = 4. 4.4 > 4.

g. \(\frac{31}{10}\) _____=_____ \(\frac{25}{8}\)

Answer: 31/10  =  25/8.

Explanation: In the above-given question, given that, plot the points on the number line. 31/10 = 3.1. 25/8 = 3.1. 3.1 = 3.1.

h. \(\frac{39}{12}\) ____>_____ \(\frac{19}{6}\)

Answer: 39/12  >  19/6.

Explanation: In the above-given question, given that, plot the points on the number line. 39/12 = 3.2. 19/6 = 3.1. 3.2 > 3.1.

i. \(\frac{49}{50}\) ____<______ 3\(\frac{90}{100}\)

Answer: 49/50 <  3(90/100).

Explanation: In the above-given question, given that, plot the points on the number line. 3(90/100). 3 x 100 = 300. 300 + 90/100. 390/100 = 3.9. 49/50 = 0.98. 0.98 < 3.9.

j. 5\(\frac{5}{12}\) ____>_____ 5\(\frac{51}{100}\)

Answer: 5(5/12)  >  5(51/100).

Explanation: In the above-given question, given that, plot the points on the number line. 5(5/12). 5 x 12 = 60. 60 + 5/12. 65/12 = 5.4. 5(51/100). 5 x 100 = 500. 500 + 51/100. 551/100 = 5.1. 5.4 > 5.1.

Eureka Math Grade 4 Module 5 Lesson 26 Exit Ticket Answer Key

Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. Question 1. 3\(\frac{2}{3}\) ____=______ 3\(\frac{4}{6}\)

Answer: 3(2/3)  =  3(4/6).

Explanation: In the above-given question, given that, plot the points on the number line. 3(2/3). 3 x 3 = 9. 9 + 2/3. 11/3 = 3.6. 3(4/6). 6 x 3 = 18. 18 + 4/6. 22/6 = 3.6. 3.6 = 3.6.

Question 2. \(\frac{12}{3}\) _____>_____ \(\frac{27}{7}\)

Answer: 12/3  >  27/7.

Explanation: In the above-given question, given that, plot the points on the number line. 12/3 = 4. 27/7 = 3.8. 4 > 3.8.

Question 3. \(\frac{10}{6}\) __________ \(\frac{5}{4}\)

Answer: 10/6  >  5/4.

Explanation: In the above-given question, given that, plot the points on the number line. 10/6 = 1.6. 5/4 = 1.2. 1.6 > 1.2.

Question 4. 3\(\frac{2}{5}\) __________ 3\(\frac{3}{10}\)

Answer: 3(2/5)  >  3(3/10).

Explanation: In the above-given question, given that, plot the points on the number line. 3(2/5). 3 x 5 = 15. 15 + 2/5. 17/5 = 3.4. 3(3/10). 10 x 3 = 30. 30 + 3/10. 33/10 = 3.3. 3.4 > 3.3.

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key 1

Answer: 2\(\frac{1}{6}\) = 2.1.

Explanation: In the above-given question, given that, plot the points on the number line. 2(1/6). 2 x 6 = 12. 12 + 1/6. 13/6 = 2.1. 2\(\frac{1}{6}\) = 2.1.

Answer: 3\(\frac{3}{4}\) = 3.75.

Explanation: In the above-given question, given that, plot the points on the number line. 3(3/4). 3 x 4 = 12. 12 + 3/4. 15/4 = 3.75. 3\(\frac{3}{4}\) = 3.7.

Answer: \(\frac{33}{9}\) = 3.6.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-3

b. Use the number line in Problem 1(a) to compare the fractions by writing >, ˂, or =. i. \(\frac{33}{9}\) ____>______ 2\(\frac{1}{6}\)

Answer: 33/9 >  2(1/6).

Explanation: In the above-given question, given that, plot the points on the number line. 2(1/6). 2 x 6 = 12. 12 + 1/6. 13/6 = 2.1. 33/9 = 3.6. 3.6 > 2.1.

ii. \(\frac{33}{9}\) ____<______ 3\(\frac{3}{4}\)

Answer: 33/9 <  3(3/4).

Explanation: In the above-given question, given that, plot the points on the number line. 3(3/4). 3 x 4 = 12. 12 + 3/4. 15/4 = 3.7. 33/9 = 3.6. 3.7 > 3.6.

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key 2

Answer: \(\frac{65}{8}\) = 8.1.

Explanation: In the above-given question, given that, plot the points on the number line. 65/8 = 8.1. \(\frac{65}{8}\) = 8.1

Answer: \(\frac{29}{4}\) = 7.2.

Explanation: In the above-given question, given that, plot the points on the number line. 29/4 = 7.2. \(\frac{29}{4}\) = 7.2

Answer: 8\(\frac{5}{6}\) = 8.8.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-4

b. Compare the following by writing >, ˂, or =. i. 8\(\frac{5}{6}\) ____<_______ \(\frac{65}{8}\)

Answer: 65/8 <  8(5/6).

Explanation: In the above-given question, given that, plot the points on the number line. 8(5/6). 8 x 6 = 48. 48 + 5/6. 53/6 = 8.8. 65/8 = 8.1. 8.1 < 8.8.

ii. \(\frac{29}{4}\) ____<______ \(\frac{65}{8}\)

Answer: 29/4  <  65/8.

Explanation: In the above-given question, given that, plot the points on the number line. 29/4 = 7.2. 65/8 = 8.1. 7.2 < 8.1.

c. Explain how you plotted the points in Problem 2(a).

Question 3. Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. a. 5\(\frac{1}{3}\) ___<______ 5\(\frac{3}{4}\)

Answer: 5(1/3)  <  5(3/4).

Explanation: In the above-given question, given that, plot the points on the number line. 5(1/3). 3 x 5 = 15. 15 + 1/3. 16/3 = 5.3. 5(3/4). 5 x 4 = 20. 20 + 3/4. 23/4 = 5.7. 5.3 < 5.7.

b. \(\frac{12}{4}\) ____>______ \(\frac{25}{8}\)

Answer: 12/4  >  25/8.

Explanation: In the above-given question, given that, plot the points on the number line. 12/4 = 3. 25/8 = 3.1. 3 > 3.1.

c. \(\frac{18}{6}\) ___<______ \(\frac{17}{4}\)

Answer: 18/6  <  17/4.

Explanation: In the above-given question, given that, plot the points on the number line. 18/6 = 3. 17/4 = 4.2. 3 < 4.2.

d. 5\(\frac{3}{5}\) ___>______ 5\(\frac{5}{10}\)

Answer: 5(3/5)  >  5(5/10).

Explanation: In the above-given question, given that, plot the points on the number line. 5(3/5). 5 x 5 = 25. 25 + 3/5. 28/5 = 5.6. 5(5/10). 10 x 5 = 50. 50 + 5/10. 55/10 = 5.5. 5.6 > 5.5.

e. 6\(\frac{3}{4}\) ______>_____ 6\(\frac{3}{5}\)

Answer: 6(3/4)  >  6(3/5).

Explanation: In the above-given question, given that, plot the points on the number line. 6(3/4). 6 x 4 = 24. 24 + 3/4. 27/4 = 6.7. 6(3/5). 6 x 5 = 30. 30 + 3/5. 33/5 = 6.6. 6.7 > 6.6.

f. \(\frac{33}{6}\) _____>______ \(\frac{34}{7}\)

Answer: 33/6  >  34/7.

Explanation: In the above-given question, given that, plot the points on the number line. 33/6 = 5.5. 34/7 = 4.8. 5.5 > 4.8.

g. \(\frac{23}{10}\) __________ \(\frac{20}{8}\)

Answer: 23/10  <  20/8.

Explanation: In the above-given question, given that, plot the points on the number line. 23/10 = 2.3. 20/8 = 2.5. 2.3 < 2.5.

h. \(\frac{27}{12}\) _________ \(\frac{15}{6}\)

Answer: 27/12  <  15/6.

Explanation: In the above-given question, given that, plot the points on the number line. 27/12 = 2.2. 15/6 = 2.5. 2.2 < 2.5.

i. 2\(\frac{49}{50}\) __________ 2\(\frac{99}{100}\)

Answer: 2(49/50)  =  2(99/100).

Explanation: In the above-given question, given that, plot the points on the number line. 2(49/50). 2 x 50 = 100. 100 + 49/50. 149/50 = 2.98. 2(99/100). 100 x 2 = 200. 200 + 99/100. 299/100 = 2.99. 2.9 = 2.9.

j. 6\(\frac{5}{9}\) __________ 6\(\frac{49}{100}\)

Answer: 6(5/9)  >  6(49/100).

Explanation: In the above-given question, given that, plot the points on the number line. 6(5/9). 6 x 9 = 54. 54 + 5/9. 59/9 = 6.5. 6(49/100). 100 x 6 = 600. 600 + 49/100. 649/100 = 6.4. 6.5 > 6.4.

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