2x2 Multiplication
The "Box" Method
Expanded
form
1
2
3
1
2
3
Draw the given grid
● Randomly write
● 40, 54, 3, 64, 42, 24, 15, 27, 1,
20, 12, 6, 49, 14, 4, 35, 25, 30,
21, 72, 18, 16, 10, 28.
● Instructions •
● Your teacher will call out multiplication
questions. • You must quickly calculate the
answers to the questions. • If an answer
matches any of the numbers on your bingo
card, you may cross that number with a cross.
• The middle space may be covered with a
cross without answering a question. • To win,
your crosses must be in a pattern that is
specified at the beginning by your teacher
(e.g. line, x, full card
https://www.youtube.com/watch?v=fABwwE5YXO8
Sample Problem: 36 x 42
Step 1: Write both numbers in expanded form, one
set across the top, the other down one side.
30 6
40
2
Sample Problem: 36 x 42
Step 2: Locate where each number meets inside
box #1. Multiply the two numbers.
30 6
40
2
1,200
Strategy: Multiply the basic fact, then add the zeroes. 40 x 30 -> 4x3=12 plus 2 zeroes = 1,200
Sample Problem: 36 x 42
Step 3: Locate where each number meets inside
box #2. Multiply the two numbers.
30 6
40
2
240
Strategy: Multiply the basic fact, then add the zeroes. 40 x 6 -> 4x6=24 plus 1 zero = 240
Sample Problem: 36 x 42
Step 4: Locate where each number meets inside
box #3. Multiply the two numbers.
30 6
40
2 60
Strategy: Multiply the basic fact, then add the zeroes. 30 x 2 -> 3x2=6 plus 1 zero = 60
Sample Problem: 36 x 42
Step 5: Locate where each number meets inside
box #4. Multiply the two numbers.
30 6
40
2 12
Strategy: Multiply the basic fact, then add the zeroes. 2 x 6 -> 2x6=12 plus no zeroes = 12
Sample Problem: 36 x 42
Step 6: Add the 4 numbers from each box together.
30 6
40
2 12
1,200 240
60
1,200
240
60
12
1,512
1
36 x 42 = 1,512
Step 7: Bask in your awesomeness.
● https://www.youtube.com/watch?v=n3q3XzzIGSY
Lets recap
Multiplication 2 digit by 2 digit grid method
● https://www.youtube.com/watch?v=4exh3iBGroA
45
X32
First… you want to pretend that you are doing two digit by one
digit multiplication. I like to cover the digit.
45
X32
Second… Follow the steps when multiplying. Two X Five is Ten,
so you would write the zero and carry your one.
45
X32
0
1
9
0
5
1
13
+
144 0
Now we clean house!
You will ALWAYS place a zero in the
ones place when moving on to the
tens place. But first, you want to erase
the numbers you carried.
We can now move on to the tens place.
Now place a zero in the units place as we
are multiplying a number in the tens place.
So any !
Now add your two sums to get the product!
Multiplication_ The Box Method.pptx
Multiplication_ The Box Method.pptx
Multiplication_ The Box Method.pptx

Multiplication_ The Box Method.pptx

  • 2.
  • 3.
  • 4.
  • 6.
    Draw the givengrid ● Randomly write ● 40, 54, 3, 64, 42, 24, 15, 27, 1, 20, 12, 6, 49, 14, 4, 35, 25, 30, 21, 72, 18, 16, 10, 28. ● Instructions • ● Your teacher will call out multiplication questions. • You must quickly calculate the answers to the questions. • If an answer matches any of the numbers on your bingo card, you may cross that number with a cross. • The middle space may be covered with a cross without answering a question. • To win, your crosses must be in a pattern that is specified at the beginning by your teacher (e.g. line, x, full card
  • 9.
  • 15.
    Sample Problem: 36x 42 Step 1: Write both numbers in expanded form, one set across the top, the other down one side. 30 6 40 2
  • 16.
    Sample Problem: 36x 42 Step 2: Locate where each number meets inside box #1. Multiply the two numbers. 30 6 40 2 1,200 Strategy: Multiply the basic fact, then add the zeroes. 40 x 30 -> 4x3=12 plus 2 zeroes = 1,200
  • 17.
    Sample Problem: 36x 42 Step 3: Locate where each number meets inside box #2. Multiply the two numbers. 30 6 40 2 240 Strategy: Multiply the basic fact, then add the zeroes. 40 x 6 -> 4x6=24 plus 1 zero = 240
  • 18.
    Sample Problem: 36x 42 Step 4: Locate where each number meets inside box #3. Multiply the two numbers. 30 6 40 2 60 Strategy: Multiply the basic fact, then add the zeroes. 30 x 2 -> 3x2=6 plus 1 zero = 60
  • 19.
    Sample Problem: 36x 42 Step 5: Locate where each number meets inside box #4. Multiply the two numbers. 30 6 40 2 12 Strategy: Multiply the basic fact, then add the zeroes. 2 x 6 -> 2x6=12 plus no zeroes = 12
  • 20.
    Sample Problem: 36x 42 Step 6: Add the 4 numbers from each box together. 30 6 40 2 12 1,200 240 60 1,200 240 60 12 1,512 1
  • 21.
    36 x 42= 1,512 Step 7: Bask in your awesomeness.
  • 22.
  • 28.
  • 30.
    Multiplication 2 digitby 2 digit grid method ● https://www.youtube.com/watch?v=4exh3iBGroA
  • 31.
  • 32.
    First… you wantto pretend that you are doing two digit by one digit multiplication. I like to cover the digit. 45 X32
  • 33.
    Second… Follow thesteps when multiplying. Two X Five is Ten, so you would write the zero and carry your one. 45 X32 0 1 9 0 5 1 13 + 144 0 Now we clean house! You will ALWAYS place a zero in the ones place when moving on to the tens place. But first, you want to erase the numbers you carried. We can now move on to the tens place. Now place a zero in the units place as we are multiplying a number in the tens place. So any ! Now add your two sums to get the product!