Break the Array
Distributive Property
What Array Did you Start With?
Associative Property
Associative Property Story Problems
100
What is ONE way to split this array? Write the TWO smaller facts. 
What is (1 x 5) + (2 x 5) OR (1 x 3) + ( 4 x 3) OR (2 x 3) + (3 x 3)
100
Use the Distributive Property to find the product of
8 x 7 = ?
What is 56
100
What was the large array of
1 x 4 and 5 x 4
What is 6 x 4= 24
100
Show ANOTHER way to solve this problem A.P. Style!
( 3 x 4 ) x 2 = _____
What is 3 x ( 4 x 2 )= 24
100
Gabe has 2 bookcases. Each bookcase has 3 shelves with 8 books on each shelf. How many books does he have in all?
What is
(2 x 3) x 8 = 48 OR 2 x ( 3 x 8) = 48
200
What is ONE way to split this array? Write the TWO smaller equations. 
What is (1 x 4) + (2 x 4) OR (3 x 1) + ( 3 x 3) OR (3 x 2 ) + ( 3 x 2 )
200
Use the Distributive Property to find the product of
8 x 6 = ?
What is 48
200
What was the large array of
5 x 5 and 3 x 5
What is 8 x 5 = 40
200
Show ANOTHER way to solve this problem A.P. Style!
4 x (1 x 5) = _____
What is ( 4 x 1 ) x 5 = 20
200
Luke collects seashells. He has 3 bags of seashells. He arranges each bag of seashells into arrays with 6 rows with 5 shells in each row. How many seashells does Luke have altogether?
_____ x ______ x _______= ?
What is
(3 x 6) x 5 = 90 OR 3 x ( 6 x 5 )= 90
300
What is ONE way to split this array? Write the TWO smaller equations. 
Any version of a split of a 3 x 6 array.
300
Use the Distributive Property to find the product of
4 x 9 = ?
What is 36
300
What was the large array of
3 x 6 and 3 x 6
What is 6 x 6 = 36
300
Show ANOTHER way to solve this problem A.P. Style!
( 6 x 5 ) x 2 = _____
What is 6 x ( 5 x 2) = 60
300
Kamren bought 6 sheets of stickers. On each sheet, there are 3 rows of stickers and 3 stickers in each row. How many stickers does Kamren have in all?
What is 36 stickers in all.
6 x ( 3 x 3 ) = 36 OR ( 6 x 3 ) x 3 = 36
400
What is ONE way to split this array? Write the TWO smaller equations. 
Any correct split of a 5 x 6 array.
400
Show TWO ways the Distributive Property can be used to find the product of 5 x 6 = ?
What is 30
400
What was the large array of
7 x 2 and 7 x 6
What is 7 x 8 = 56
400
Show ANOTHER way to solve this problem A.P. Style!
10 x ( 2 x 2) = _____
What is ( 10 x 2 ) x 2 = 40
400
Mrs. Schroeder bought 3 packages of juice boxes. Each package has 2 rows of juice boxes with 5 boxes in each row. How many juice boxes did Mrs. Schroeder buy?
What is ( 3 x 2 ) x 5 = 30 juice boxes
OR 3 x ( 2 x 5 ) = 30 juice boxes
500
What is ONE way to split this array? Write the TWO smaller equations.
Any correct split of the larger array of 4 x 6
500
Generalization:
Ella makes the GENERALIZATION that a 4's fact can be broken into two 2's facts. Show how this is true:
4 x 7 = (___ x 7) + ( __ x 7 ) = ____ + ____ = ____
What is:
4 x 7 = ( 2 x 7 ) + ( 2 x 7 ) = 14 + 14 = 28
500
What was the large array of
6 x 9 and 6 x 2
What at 6 x 11 = 66
500
Show ANOTHER way to solve this problem A.P. Style!
( 50 x 2 ) x 1 = _____
What is 50 x ( 2 x 1 ) = 100
500
Addie and Carmela collect rocks. They each have 2 bags of rocks. Addie arranges her rocks in a 4 x 5 array. Carmela arranges her rocks in a 2 x 10 array. How many rocks do they have altogether?
Addie = ___ x ____ x ____ = _______
Carmela = ____ x _____ x _____ = ______
What is 80 rocks altogether.