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Lattice Method

Lattice Method. Mr. Bui 5 th grade SEI Horace Mann Elementary. Lattice Method. Objective : By the end of this presentation I can multiply using the lattice method. Lattice versus Traditional. Like your parents and countless others, I started by using the traditional method.

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Lattice Method

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  1. Lattice Method Mr. Bui 5th grade SEI Horace Mann Elementary

  2. Lattice Method • Objective: By the end of this presentation I can multiply using the lattice method

  3. Lattice versus Traditional • Like your parents and countless others, I started by using the traditional method. • After learning and becoming proficient in both methods, I prefer the Lattice myself in terms of speed and accuracy

  4. Lattice versus Traditional • The traditional method requires several memorization steps and can get pretty messy when regrouping is involved • It also requires you to line up the place value

  5. Lattice versus Traditional • The lattice method requires you to just know how to set up the grid

  6. Lattice versus Partial Product • There is a third method called the Partial Product Method which is also another way to multiply We will NOT be covering this method.

  7. Lattice MethodWhy • We use the Lattice Method because • It is faster • Uses a visual grid • One downside is that it requires precise drawing of the grid

  8. Lattice MethodHow • The Lattice is best done with colors and highlighters at first because it takes practice to become efficient at it

  9. Lattice MethodExample • The best way to show the Lattice Method is through an example • Let us do something simple: • 54 x 12

  10. Lattice Method • Let us break the numbers down and understand it a bit better. 54 x 12 54 has 2 digits (a 5 for the tens place and a 4 for the ones) 12 has 2 digits (a 1 for the tens place and a 2 for the ones)

  11. Lattice Method 54 x 12 5 4 1 2

  12. Lattice Method • 54 x 12 Insert diagonal lines for each box.

  13. Lattice Method • 54 x 12 Multiply one set 4 x 1 = 4 0 4 Put product in appropriate triangle There are zero tens in the product, and four ones

  14. Lattice Method • 54 x 12 Multiply one set 4 x 2 = 8 0 4 Put product in appropriate triangle 0 8 There are zero tens in the product, and eight ones

  15. Lattice Method • 54 x 12 Multiply one set 5 x 1 = 5 0 0 4 5 Put product in appropriate triangle 0 8 There are zero tens in the product, and five ones

  16. Lattice Method • 54 x 12 Multiply one set 5 x 2 = 10 0 0 4 5 Put product in appropriate triangle 0 1 0 8 There are one tens in the product, and zero ones

  17. Lattice Method • 54 x 12 Now we just got to add the numbers diagonally. 0 0 4 5 8 + nothing is 8 0 1 0 8 8

  18. Lattice Method • 54 x 12 Now we just got to add the numbers diagonally. 0 0 4 5 4 + 0 + 0 = 4 0 1 0 8 4 8

  19. Lattice Method • 54 x 12 Now we just got to add the numbers diagonally. 0 0 4 5 5 + 1 + 0 = 6 0 1 0 8 6 4 8

  20. Lattice Method • 54 x 12 Now we just got to add the numbers diagonally. 0 0 4 0 5 0+ 0 = 0 0 1 0 8 6 4 8

  21. Lattice Method • 54 x 12 Re-write the answers following the arrow 0 0 4 0 5 06 48 0 1 0 8 6 4 8

  22. Lattice Method • 54 x 12 We can drop the extra zero on the left 0 0 4 0 5 648 0 1 0 8 6 4 8

  23. Lattice Method • 54 x 12 = We can drop the extra zero on the left 0 0 4 0 5 648 0 1 0 8 6 4 8

  24. Lattice Method • What happens when you add diagonally and it is 10 or more?

  25. Lattice Method • 54 x 12 = Add it diagonally 6 + 3 + 5 = 14 2 1 6 0 Regroup the tens into the next diagonal 3 4 5 6 1 4 6

  26. Lattice Method • 54 x 12 = Add it diagonally 1 + 0 + 4 + 1 = 6 2 1 6 0 3 4 1 6 5 6 4 6

  27. Lattice Method • 54 x 12 = Add it diagonally 2 + nothing = 2 2 1 6 2 0 3 4 1 6 5 6 4 6

  28. Lattice Method • 54 x 12 = Add it diagonally 2 + nothing = 2 2 1 6 2 0 3 4 1 6 5 6 4 6

  29. Lattice Method • That’s pretty much it!

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