mrs. faour/4th grade module 5-lesson 5 · lesson 5 homework 45. 72 2. draw area models to show the...

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66 Lesson 5 Problem Set NYS COMMON CORE MATHEMATICS CURRICULUM 4 5 Mrs. Faour/4th Grade Module 5-Lesson 5 Objective: Decompose unit fractions using area models to show equivalence. Lesson 5 Requirements: Problem –Set page/Watch Video Fluency Practice /Watch Video Application Problem/Watch Video Review Class Note/use your math notebook Homework page/Submit Exit Ticket page/Submit *Use paper /pencil or problem-set pages to follow with the presenter.

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Page 1: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

66

Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

Mrs.Faour/4thGradeModule5-Lesson5

Objective:Decomposeunitfractionsusingareamodelstoshowequivalence.

Lesson5Requirements:

Problem–Setpage/WatchVideo

FluencyPractice/WatchVideo

ApplicationProblem/WatchVideo

ReviewClassNote/useyourmathnotebook

Homeworkpage/Submit

ExitTicketpage/Submit

*Usepaper/pencilorproblem-setpagestofollowwiththepresenter.

Page 2: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

67

Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

Name Date

1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.

a. 2rows

b. 2rows

c. 4rows

14=

2⬚

14

= 18+⬚⬚ =

⬚⬚

14

= 2×⬚⬚ =⬚⬚

Leila Faour
Page 3: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

68

2. Drawareamodelstoshowthedecompositionsrepresentedbythenumbersentencesbelow.Representthedecompositionasasumofunitfractionsandasamultiplicationsentence.a. 1

2 = 3

6 b. 1

2 = 4

8

c. 12

= 510 d. 1

3 = 2

6

e. 13

= 412 f. 1

4 = 3

12

3. Explainwhy 112+ 112+ 112isthesameas1

4.

Page 4: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

69

Problem-Set/Answerkey

Page 5: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

Lesson5ExitTicketNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

70

Name Date

1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.

a. 2rows

b. 3rows

2. Drawanareamodeltoshowthedecompositionrepresentedbythenumbersentencebelow.Representthedecompositionasasumofunitfractionsandasamultiplicationsentence.

35

= 610

Leila Faour
Leila Faour
Leila Faour
Leila Faour
Leila Faour
Exit Ticket
Page 6: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

Lesson5HomeworkNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

71

Name Date

1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.

a. 3rows

b. 2rows

c. 4rows

12= 3⬚

12

= 16+⬚⬚ +

⬚⬚ = 3

6

12

= 3×⬚⬚ = 36

Leila Faour
Lesson 5-Homework
Page 7: Mrs. Faour/4th Grade Module 5-Lesson 5 · Lesson 5 Homework 45. 72 2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition

Lesson5HomeworkNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5

72

2. Drawareamodelstoshowthedecompositionsrepresentedbythenumbersentencesbelow.Representthedecompositionasasumofunitfractionsandasamultiplicationsentence.

a. 13= 2

6 b.1

3 = 3

9

c. 13= 4

12 d.1

3 = 5

15

e. 15= 2

10 f.1

5 = 3

15

3. Explainwhy 112+ 112+ 112+ 112isthesameas1

3.