mrs. faour/4th grade module 5-lesson 5 · lesson 5 homework 45. 72 2. draw area models to show the...
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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.
67
Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5
Name Date
1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.
a. 2rows
b. 2rows
c. 4rows
14=
2⬚
14
= 18+⬚⬚ =
⬚⬚
14
= 2×⬚⬚ =⬚⬚
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.
Lesson5ProblemSetNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5
69
Problem-Set/Answerkey
Lesson5ExitTicketNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5
70
Name Date
1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.
a. 2rows
b. 3rows
2. Drawanareamodeltoshowthedecompositionrepresentedbythenumbersentencebelow.Representthedecompositionasasumofunitfractionsandasamultiplicationsentence.
35
= 610
Lesson5HomeworkNYSCOMMONCOREMATHEMATICSCURRICULUM 4 5
71
Name Date
1. Drawhorizontallinestodecomposeeachrectangleintothenumberofrowsasindicated.Usethemodeltogivetheshadedareaasbothasumofunitfractionsandasamultiplicationsentence.
a. 3rows
b. 2rows
c. 4rows
12= 3⬚
12
= 16+⬚⬚ +
⬚⬚ = 3
6
12
= 3×⬚⬚ = 36
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.
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