Title: Lattice%20Multiplication
1(No Transcript)
2Do Now
- Order the following fractions from least to
greatest - ½ , 1/8, 1/3, 1/9
- 2/3, 1/6, 3/6, 2/5, 4/7
- Homework lattice multiplication worksheet
3Lattice Multiplication
4Standard/ Objective
- 6.N.17 Multiply and divide fractions with unlike
denominators - Objective SWBAT multiply 2 digit by 2 digit
numbers using the lattice method.
5Flow of the Day
- Do Now 5 min
- Intro to new material 15 min
- Guided practice 15 min
- Independent practice 20 min
- Exit Slip 5 min
6Upon completion of this exercise, you will
7Upon completion of this exercise, you will
- Discover the history of lattice multiplication
8Upon completion of this exercise, you will
- Discover the history of lattice multiplication
- Identify the four step process for completing a 2
by 1 lattice
9Upon 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
10Upon 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
11So, what is Lattice Multiplication, anyway?
12So, 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.
13Is Lattice Multiplication New?
14Is 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.
15COOL!
164 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
17(No Transcript)
18Step One Make the Lattice Grid
- First draw a box and divide it into 2 equal
sections.
19Step One Make the Lattice Grid
- Next, divide those boxes diagonally from the top
right to the bottom left corner.
20Step 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 ?
21Fill in the Lattice
- Fill in the numbers like this
4 3
5
22Step Three Multiply
43 x 5 ?
23Then Multiply the Outside!
- First multiply 5x3 and write your answer in the
lattice as shown.
4
3
1 5
5
24Then Multiply the Outside!
- Next, multiply 5x4. Write your answer in the top
left box of your lattice grid.
4
3
5
2 0 1 5
25Wait! Youre Not Finished Yet!
26Step 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
2 0 1 5
5
27Step 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
2 0 1 5
5
1
28Step Four Add the Inside
- Finally, add the numbers in the diagonals to get
the solution. - Finally, bring down the 2.
4
3
5
2 0 1 5
5
1
2
29Now youve got your answer!
43 x 5 215
30Now You Try It.
- Using the graph paper in front of you, draw a
square around any two of the blocks on your paper.
31Now You Try It.
- Next, divide those boxes diagonally from the top
right to the bottom left corner.
32Fill in the Lattice
- Fill in the numbers like this
3 9
6
33Then Multiply the Outside!
- First multiply 6x9 and write your answer in the
lattice as shown.
3
9
5 4
6
34Then Multiply the Outside!
- Next, multiply 6x3. Write your answer in the top
left box of your lattice grid.
3
9
6
1 8 5 4
35Add 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
1 8 5 4
4
36Add 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
1 8 5 4
4
3
37Step 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
1 8 5 4
4
3
2
38Now youve got your answer!
39 x 6 234
39Lets Practice Together!
Practice is FUN!
40Try 71 x 3
41Are you ready for more?????
42Ready, Set, Lets Solve Lattice Multiplication
Problems!
- Please open your math journal to page 231
43Try 8 x 45
44Try 5 x 23
45Try 6 x 431
46(No Transcript)
47Hmmm, what will we need to do differently to
multiply a THREE digit number?
48Try 6 x 431
49Lets Take a Quick Lattice Multiplication Quiz to
see how much you remember!
50Yes 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?
51No!
Lattice multiplication has been in use since the
late 1400s!
52Yes 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.
534 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
544 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- Write the factors on the
- outside of the grid
554 Simple Steps to Lattice Multiplication
- 1. Make the grid/ lattice
- 2. Write the factors on the
- outside of the grid
- 3. Multiply
564 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
57Congratulations!
Youve just learned how to solve multi-digit
multiplication problems using the Lattice
Multiplication Algorithm!
58Congratulations!
Now, finish the problems on the right column of
page 231. Ask your seat mate or raise your hand
if you need assistance.