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Published byMartha Coppedge Modified over 2 years ago

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Long Division &MathLine ____ ____ 6)192 6)192 First Problem:

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For traditional Long Division, teach the algorithm: teach the algorithm: 1) Divide or D 2) Multiply or M 3) Subtract or S 4) Check or 5) Bring Down or BD Long Division

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Take the problem Long Division ____ ____ 6)192 6)192 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 6 into 1? Long Division

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____ ____ 6)192 6)192 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Put 1 on MathLine Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD 6 into 1? No Long Division ____ ____ 6)192 6)192

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6 into 19? 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Put 19 on MathLine ____ ____ 6)192 6)192 Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD For long division on MathLine ALWAYS start dividing from the left Long Division

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Yes, how many times? 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 6 into 19? One Group of 6 Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 Two Groups of 6 Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 Three Groups of 6 Long Division

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____ ____ 6)192 6)192 Put a 3 above the 19 of Long Division 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD

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____ ____ 6)192 6)192 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Now multiply 3 X 6 3 Long Division

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Make sure the students do not the students do not multiply the remainder back in! 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Long Division Only multiply 3 X 6, or 3 groups of 6

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____ ____ 6)192 6)192 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD 3 Multiply 3 x 6 3 Groups of 6 Long Division

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____ ____ 6)192 6)192 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD 3 Multiply 3 x 6 3 Groups of 6 Long Division

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We multiply 3 x 6 and get 18, so we put the 18 below 19 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ ___ _ ___ 6)192 6)192 3 Long Division 18

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Subtract 18 from 19, 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ ___ _ ___ 6)192 6) Long Division 1 to get a difference of 1

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Remainder of 1, ‘s out on MathLine Long Division _ ___ _ ___ 6)192 6)

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Bring down the 2 the 2 to get 12 to get 12 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ ___ _ ___ 6)192 6) Long Division 2

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Put 12 on MathLine 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Long Division

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Does 6 go into 12? 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ 3_ _ 3_ 6) ) Long Division How many times? Yes

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One group of 6 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ 3_ _ 3_ 6) ) Long Division

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Two groups of 6 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ 3_ _ 3_ 6) ) Long Division

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ 3 _ _ 3 _ 6) ) Put a 2 above the 2 of 192 the 2 of 192 Long Division 2

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD _ 3 _ _ 3 _ 6) ) Now multiply 2 x 6 Long Division 2

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2 x 6 = Long Division 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD 2 Groups of 6 12

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Put 12 below the 12 __32 __32 6) Long Division 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD 12

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Subtract 12 from 12 __32 __32 6) Long Division 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Remainder of 0, ‘s out on MathLine Long Division __32 __32 6)

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1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD Recap for Long Division MathLine makes the algorithm concrete, steps are organized Multiplication problem is set up Multiplication problem is set up Check step is built in Check step is built in Makes long division FUN for students Makes long division FUN for students Long Division

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