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

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Presentation on theme: "Long Division &MathLine ____ ____ 6)192 6)192 First Problem:"— Presentation transcript:

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

2 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

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

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

5 ____ ____ 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

6 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

7 6 into 19? 1)Divide = D 2)Multiply = M 3)Subtract = S 4)Check = 5)Bring Down = BD ____ ____ 6)192 6)192 Long Division

8 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

9 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

10 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

11 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

12 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

13 ____ ____ 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

14 ____ ____ 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

15 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

16 ____ ____ 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

17 ____ ____ 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

18 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

19 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

20 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)

21 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

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

23 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

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

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

26 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

27 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

28 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

29 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

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

31 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)

32 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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