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#LL2LU Jill Gough (@jgough) Trinity School Long Division Name Partial>Quotients Algorithm 5 th Grade Math Date Level 1: I can complete math sentences involving multiplication and division. 1. 68 ÷ 4 = ___________ 2. 84 ÷ 6 = ___________ 3. 13 × __________ = 91 4. ___________ × 4 = 176 Level 2: I can divide a multi6digit whole number by a single digit whole number. 5. 581 ÷ 7 = __________ Use the partial>quotients method. Show your thinking. 6. 231 ÷ 3 = __________ Use the traditional method. Show your thinking.

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Page 1: Partial-Quotients Long Division copy.pdf

#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

Long%Division% % % % % Name%Partial>Quotients%Algorithm%5th%Grade%Math% % % % % Date%%Level%1:%%I%can%complete%math%sentences%involving%multiplication%and%division.%%

1. 68!÷ !4 = ___________%%

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2. 84!÷ !6 = ___________%%

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3. 13!×!__________ = 91%

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4. ___________!×!!4 = 176

%%Level%2:%%I%can%divide%a%multi6digit%whole%number%by%a%single%digit%whole%number.%%

5. 581!÷ !7 = __________%%Use%the%partial>quotients%method.%%Show%your%thinking.%

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6. 231!÷ !3 = __________%%Use%the%traditional%method.%Show%your%thinking.%

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Page 2: Partial-Quotients Long Division copy.pdf

#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

7. 235!÷ !6 = __________%Use%the%partial>quotients%method.%%Show%your%thinking.%

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8. 343!÷ !5 = __________%%Use%the%traditional%method.%Show%your%thinking.%

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Page 3: Partial-Quotients Long Division copy.pdf

#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

Level%3:%%I%can%divide%whole%numbers%using%both%the%partial6quotients%method%and%the%%%% %%%traditional%method.%%

9. 546!÷ !13 = __________%%Use%the%partial>quotients%method.%%Show%your%thinking.%

%%

10. 525!÷ !21 = __________%%Use%the%traditional%method.%Show%your%thinking.%

%%

11. 685!÷ !36 = __________%%Use%the%partial>quotients%method.%%Show%your%thinking.%

%%

12. 620!÷ !41 = __________%%Use%the%traditional%method.%Show%your%thinking.%

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Page 4: Partial-Quotients Long Division copy.pdf

#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

Level%4:%%I%can%find%and%correct%the%error%in%long%division%problems.%%

13. 756!÷ !54 =%%

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14. 992!÷ !32 =%% %

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Level%4:%%I%can%compare%and%contrast%the%partial6quotients%method%with%the%traditional%%%% %%%method%of%long%division%by%giving%an%example%and%writing.%% %

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#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

Long%Division% % % % % Name%Partial>Quotients%Algorithm%(5th%Grade)%Table%of%Specifications% % % % Date%%

Circle%the%number%of%each%question%where%you%missed%something.%%In%the%Percent%Correct%column,%record%the%percent%of%questions%worked%correctly%for%each%category.%

%

Content% Question%Number%Simple%Mistake%

More%study%needed%

Percent%(%)%Correct%

EL:%%I%can%divide%whole%numbers%using%the%partial6quotients%method%and%the%traditional%method.%I%can%complete%math%sentences%involving%multiplication%and%division.%

1,%2,%3,%4% % % %

I%can%divide%a%multi6digit%whole%number%by%a%single%digit%whole%number.%

5,%6,%7,%8% % % %

I%can%divide%whole%numbers%using%the%partial6quotients%method%and%the%traditional%method.%

9,%10,%11,%12% % % %

I%can%find%and%correct%the%error%in%long%division%problems.% 13,%14,%15,%16% % % %

Methods%

Partial6Quotients%method% 5,%7,%9,%11,%13% % % %

Traditional%method% 6,%8,%10,%12,%14% % % %

%Identify%the%level%where%your%work%is%most%consistently%correct.%%

I%am%here% Level% Mathematical%Fluency%

% 4% I%can%find%and%correct%the%error%in%long%division%problems.%

% 3% I%can%divide%whole%numbers%using%the%partial6quotients%method%and%the%traditional%method. %

% 2% I%can%divide%a%multi6digit%whole%number%by%a%single%digit%whole%number.%

% 1% I%can%complete%math%sentences%involving%multiplication%and%division.%

%Identify%the%level%where%your%work%is%most%consistently%correct.%%

I%am%here% Level% Mathematical%Communication%

% 4% I%can%show%more%than%one%way%to%find%a%solution%to%the%problem.%

% 3% I%can%describe%or%illustrate%how%I%arrived%at%a%solution%in%a%way%that%the%reader%understands%without%talking%to%me. %

% 2% I%can%find%a%correct%solution%to%the%problem.%

% 1% I%can%ask%questions%to%help%me%work%toward%a%solution%to%the%problem.%

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#LL2LU% Jill%Gough%(@jgough)% Trinity%School%

Student%Analysis%of%Assessment%Results:%%

1. %List%the%concepts%on%which%you%did%well.%(Yay!!!)%%%%%%%%%

2. To%determine%what%you%need%to%study%most,%write%down%the%skills%corresponding%to%the%marks%under%“More%study%needed”.%%%

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3. To%get%better%at%____________________________________________________,%I%must….%

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1. 68!÷ !4 = ___________%%

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3. 13!×!__________ = 91%

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5. 581!÷ !7 = __________%%

Use%the%partial>quotients%method.%%

Show%your%thinking.%

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