Break the Array
Distributive Property
What Array Did you Start With?
Associative Property
Word Problems
100

What is ONE way to split this array?  Write the TWO smaller facts.  

What is   (1 x 5) + (2 x 5)  

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  8 books on each shelf.  How many books does he have in all?  

What is 2 x 8 = 16

200

What is ONE way to split this array?  Write the TWO smaller equations.    

What is (1 x 4) + (2 x 4)   

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 5 shells in each bag.  How many seashells does Luke have altogether?

   

What is 3 x 5 = 15

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 4 sheets of stickers.  On each sheet, there are 3 rows of stickers and 3 stickers in each row. How many stickers does Karmen have in all?  

What is 36 stickers in all.

4 x ( 3 x 3 ) = 36    OR  ( 4 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 one way 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 

      10  x  6    and   1 x 6    

What at 11 x 6 = 66

500

Show ANOTHER way to solve this problem A.P. Style!

        ( 12 x 3 ) x  1 = _____

What is  12 x ( 3 x 1 ) = 36

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.