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M ultiple M ultiplication M ethods

M ultiple M ultiplication M ethods. Presented by Barb Pecoraro. How can numbers with two digits be multiplied together?. 26 x37. 54 x 97 =. 81* 62 =. Do you know how to multiply two-digit numbers together?. Lattice. I am confused. Partial Products. Your Own Method.

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M ultiple M ultiplication M ethods

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  1. Multiple Multiplication Methods Presented by Barb Pecoraro

  2. How can numbers with two digits be multiplied together? 26 x37 54 x 97 = 81* 62 =

  3. Do you know how to multiply two-digit numbers together?

  4. Lattice I am confused Partial Products Your Own Method Traditional

  5. Partial Products Method 43 x 27 21 280 60 + 800 1,161 Do you recognize this method? I am confused.

  6. Traditional Method 2 43 x 27 301 + 860 1,161 Did your parents try to teach you this method? Do you recognize this method? I am more confused.

  7. Lattice Method 4 3 Do you recognize this method? 0 0 1 2 8 6 2 2 7 1 8 1 6 1 What?

  8. Do you know another method?

  9. Steps for Partial Products Method

  10. 25 x 36 30 (6 x 5)

  11. 25 x 36 30 (6 x 5) 120 (6 x 20)

  12. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5)

  13. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5) 600 (30 x 20)

  14. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5) +600 (30 x 20)

  15. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5) +600 (30 x 20) 900

  16. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5) +600 (30 x 20) 900 Do you understand the partial products method?

  17. 25 x 36 30 (6 x 5) 120 (6 x 20) 150 (30 x 5) +600 (30 x 20) 900 Does the order of numbers multiplied together matter?

  18. Steps for Traditional Method

  19. 3 25 x 36 0 (6 x 5 = 30) Write the 0, regroup 3

  20. 3 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 ( (6 x 2) + 3 = 15)

  21. 3 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 0( (6 x 2) + 3 = 15) Write a 0; Cross out 3

  22. 13 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 50( (6 x 2) + 3 = 15) Write a 0; Cross out 3 (3 x 5 = 15) Write the 5; regroup 1

  23. 13 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 750( (6 x 2) + 3 = 15) Write a 0; Cross out 3 (3 x 5 = 15) Write the 5; regroup 1 ( (3 x 2) + 1 = 7) Write the 7

  24. 13 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 750( (6 x 2) + 3 = 15) 900Write a 0; Cross out 3 (3 x 5 = 15) Write the 5; regroup 1 ( (3 x 2) + 1 = 7) Write the 7 Add

  25. 13 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 750( (6 x 2) + 3 = 15) 900Write a 0; Cross out 3 (3 x 5 = 15) Write the 5; regroup 1 ( (3 x 2) + 1 = 7) Write the 7 Add Do you understand the traditional method?

  26. 13 25 x 36 150 (6 x 5 = 30) Write the 0, regroup 3 750( (6 x 2) + 3 = 15) 900Write a 0; Cross out 3 (3 x 5 = 15) Write the 5; regroup 1 ( (3 x 2) + 1 = 7) Write the 7 Add Does the order of the numbers being multiplied matter?

  27. Steps for Lattice Method

  28. Draw the lattice grid.

  29. Write the two factors. 2 5 3 6

  30. Multiply the red digits. 2 5 1 3 5 6

  31. Multiply the green digits. 2 5 0 1 3 5 6 6

  32. Multiply the blue digits. 2 5 0 1 3 5 6 3 6 0

  33. Multiply the purple digits. 2 5 0 1 3 5 6 1 3 6 2 0

  34. Add the digits in the lane with the thin arrow. 2 5 0 1 3 5 6 1 3 6 2 0 0 Start here.

  35. Add the digits in the lane with the arrow. 2 5 1 0 1 3 5 6 1 3 6 2 0 0 0

  36. Add the digits in the lane with arrow. 2 5 1 0 1 3 5 6 1 3 6 2 0 0 0 Regroup one group of ten in next lane.

  37. Add the digits in the lane with the arrow. 2 5 1 0 1 3 5 6 1 3 6 2 0 9 0 0

  38. Add the digits in the lane with the arrow. 2 5 1 0 1 3 5 6 1 3 6 2 0 9 0 0 The product is 900.

  39. The product is 900. 2 5 1 0 1 3 5 6 1 3 6 2 0 9 0 0 Do you understand the lattice method?

  40. The product is 900. 2 5 1 0 1 3 5 6 1 3 6 2 0 9 0 0 Does the order of multiplying the digits matter?

  41. What other methods do you use to multiply multi-digit numbers? Repeated Addition

  42. It is your turn to try. 62 x 15

  43. Did you use the partial products method? 62 x 15 10 (5 x 2) 20 (10 x 2) 300 (5 x 60) +600 (10 x 60) 930

  44. Did you use the traditional method? 62 x 15 310 +620 930

  45. Did you use the lattice method? 6 2 0 0 1 6 2 3 1 5 0 0 9 3 0

  46. Pal-Pair-Share with a partner what you learned about Multiple Multiplication Methods.

  47. Do you have any questions?

  48. Internet Resources http://www.superteacherworksheets.com/lattice/lattice2.pdf Lattice grid

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