Title: Lattice Multiplication
1Lattice Multiplication
2Upon completion of this exercise, you will
3Upon completion of this exercise, you will
Discover the history of lattice multiplication
4Upon completion of this exercise, you will
Discover the history of lattice multiplication
Identify the four step process for completing a 2
by 1 lattice
5Upon completion of this exercise, you will
Discover the history of lattice multiplication
Identify the four step process for completing a 2
by 1 lattice
Construct your own 2 by 1 lattice grid
6Upon completion of this exercise, you will
Discover the history of lattice multiplication
Identify the four step process for completing a 2
by 1 lattice
Construct your own 2 by 1 lattice grid
Apply the Lattice Method to multiplication
problems
7So, what is Lattice Multiplication, anyway?
8So, what is Lattice Multiplication, anyway?
- Lattice multiplication is a method of
multiplication that will work for all multi-digit
multiplication problems! Lattice keeps your
numbers organized and provides a systematic way
to solve multiplication problems.
9Is Lattice Multiplication New?
10Is Lattice Multiplication New?
- NO! In fact, the Lattice method of
multiplication appears in the first printed
arithmetic book. Printed in Treviso, Italy in
1478 this book shows this exact method as well as
some variations of the long multiplication
algorithm commonly taught today.
11COOL!
124 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- 2. Write the factors outside the grid
- 3. Multiply
- 4. Add to get your answer
13(No Transcript)
14Step One Make the Lattice Grid
- First draw a box and divide it into 2 equal
sections.
15Step One Make the Lattice Grid
- Next, divide those boxes diagonally from the top
right to the bottom left corner.
16Step Two Write the factors on the grid
- Now what? Simple, ask someone to give you a
multi-digit multiplication problem to solve! Now
add these numbers to the grid.
43 x 5 ?
17Fill in the Lattice
- Fill in the numbers like this
4 3
5
18Step Three Multiply
43 x 5 ?
19Then Multiply the Outside!
- First multiply 5x3 and write your answer in the
lattice as shown.
4
3
5
20Then Multiply the Outside!
- Next, multiply 5x4. Write your answer in the top
left box of your lattice grid.
4
3
5
21Wait! Youre Not Finished Yet!
22Step Four Add the Inside
- Finally, add the numbers in the diagonals to get
the solution.
- 5 is all by itself so simply bring
- that number down.
4
3
5
5
23Step Four Add the Inside
- Finally, add the numbers in the diagonals to get
the solution.
- Next, add 1 0, and write the
- sum under the lattice.
4
3
5
5
1
24Step Four Add the Inside
- Finally, add the numbers in the diagonals to get
the solution.
- Finally, bring down the 2.
4
3
5
5
1
2
25Now youve got your answer!
43 x 5 215
26Now You Try It.
- Using the graph paper in front of you, draw a
square around any two of the blocks on your paper.
27Now You Try It.
- Next, divide those boxes diagonally from the top
right to the bottom left corner.
28Fill in the Lattice
- Fill in the numbers like this
3 9
6
29Then Multiply the Outside!
- First multiply 6x9 and write your answer in the
lattice as shown.
3
9
6
30Then Multiply the Outside!
- Next, multiply 6x3. Write your answer in the top
left box of your lattice grid.
3
9
6
31Add the Inside
- Finally, add the numbers in the diagonals to get
the solution.
- 4 is all by itself so simply bring
- that number down.
3
9
6
4
32Add the Inside
- Finally, add the numbers in the diagonals to get
the solution.
- Next, add 5 8, and write the
- sum under the lattice.
3
9
1
6
4
3
33Step Three Add the Inside
- Finally, add the
- numbers in the
- diagonals to get
- the solution.
- Finally, add the 1 1
- And write the sum below
- the lattice.
3
9
1
6
4
3
2
34Now youve got your answer!
39 x 6 234
35Lets Practice Together!
Practice is FUN!
36Try 71 x 3
37Are you ready for more?????
38Ready, Set, Lets Solve Lattice Multiplication
Problems!
- Please open your math journal to page 231
39Try 8 x 45
40Try 5 x 23
41Try 6 x 431
42(No Transcript)
43Hmmm, what will we need to do differently to
multiply a THREE digit number?
44Try 6 x 431
45Lets Take a Quick Lattice Multiplication Quiz to
see how much you remember!
46Yes or No?
CLAP your hands ONE TIME for YES.
STOMP your feet ONE TIME for NO.
Lattice multiplication is a NEW method of
multiplying numbers?
47No!
Lattice multiplication has been in use since the
late 1400s!
48Yes or No?
CLAP your hands ONE TIME for YES.
STOMP your feet ONE TIME for NO.
The process for solving Lattice Multiplication
involves 4 steps.
494 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
504 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- Write the factors on the
- outside of the grid
514 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- 2. Write the factors on the
- outside of the grid
- 3. Multiply
524 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- 2. Write the factors on the
- outside of the grid
- 3. Multiply
- 4. Add to get your answer
53Congratulations!
Youve just learned how to solve multi-digit
multiplication problems using the Lattice
Multiplication Algorithm!
54Congratulations!
Now, finish the problems on the right column of
page 231. Ask your seat mate or raise your hand
if you need assistance.