It's Distributive!
Draw a 3 x 6 array.
Which shows a way to break the array into 2 smaller arrays?
A. (2 x 6) + (2 x 6)
B. (1 x 6) + (2 x 6)
C. (3 x 6) + (3 x 6)
D. (6 x 3) + (3 x 3)
B. (1 x 6) + (2 x 6)
8 x 6 = ?
8 x 6 = 48
In art class there are 3 boxes of pencils in each cabinet. There were 2 cabinets. There were 4 pencils in each box. How many pencils were there in all?
3 x 2 x 4 = 24
Which equations equal 24? Choose all that apply.
A. 6 x 6
B. 6 x 7
C. 6 x 4
D. 4 x 6
E. 3 x 8
C. 6 x 4
D. 4 x 6
E. 3 x 8
Mrs. Goodman made this array:
X X X X
X X X X
X X X X
What two facts could she use to write an equation for the array?
(1 x 4) and (____ x 4)
If Mrs. Goodman adds one more row of 4 to her array, can she still use the facts in the above equations? Why or why not?
(1 x 4) + (2 x 4)
No, because it will no longer equal 12.
9 x 9 = ?
9 x 9 = 81
There are 7 days in a week. How many days are there in 9 weeks?
7 x 9 = 63
63 days
Draw a 4 x 4 array on your board. Break it into two smaller arrays and write the equations to match.
Check student's work
How can you break 3 x 4 into two smaller arrays?
One way:
(2 x 4) + (1 x 4)
5 x ? = 30
5 x 6 = 30
There are 5 days in a school week. How many days are in 6 school weeks?
5 x 6 = 30
30 days
Which expressions can be used to find 3 x 4 x 6?
A. 4 x 3 x 6
B. 2 x 2 x 6
C. 6 x 4 x 3
D. 2 x 3 x 6
E. 1 x 6 x 3
A. 4 x 3 x 6
C. 6 x 4 x 3
Adam organizes his pictures into a 4 x 6 array. How can he break apart his array? Choose all that apply.
A. (2 x 3) + (2 x 3) + (2 x 3)
B. (2 x 6) + (2 x 6)
C. (4 x 6) + (1 x 6)
D. (4 x 3) + (4 x 3)
B. (2 x 6) + (2 x 6)
D. (4 x 3) + (4 x 3)
Anna wants to put 9 books on each shelf. She has 45 books in all. How many shelves will she need?
5 shelves
Jake had 5 boxes of toys on each shelf. There were 2 shelves. There were 4 toys in each box. How many toys did he have in all?
5 x 2 x 4 = 40
Mrs. Perouty makes the generalization that an 8's fact can be broken up into two 4's facts. Complete the equation to test her generalization.
3 x 8 = (3 x ___) + (___ x 4) = ____ + 12 = ____
3 x 8 = (3 x 4) + (3 x 4) = 12 + 12 =24
What number makes the equation correct?
(4 x 5) + (4 x 5) = ?
40
20 + 20 = 40
James made a large array with his pencils. Then he broke it into two smaller arrays, 2 x 9 and 3 x 9. What is the large array he started with?
A. 2 x 3
B. 9 x 2
C. 5 x 9
D. 6 x 9
C. 5 x 9
Jani bought 2 stickers and 3 pencils. How much did she spend in all?
Stickers cost $2 each.
Pencils cost $3 each.
Which shows the correct equations to solve the problem?
A. Cost of stickers: 2 x $2 = $4; Cost of pencils 3 x $3 = $9; Total = $4 + $9 = $15
B. Cost of stickers: 2 x $2 = $4; Cost of pencils 3 x $3 = $9; Total = $4 + $9 = $13
C. Cost of stickers: 3 x $2 = $6; Cost of pencils 3 x $2 = $6; Total = $6 + $6 = $12
B. Cost of stickers: 2 x $2 = $4; Cost of pencils 3 x $3 = $9; Total = $4 + $9 = $13
Barb makes the generalization that a 6's fact can be broken up into two 3's facts. Complete the equation to test her generalization.
6 x 7 = (___ x 7) + (___ x 7) = ____ + 21 = ____
6 x 7 = (3 x 7) + (3 x 7) = 21 + 21 = 42