Arrays & the Distributive Property
June broke up a large array into a 3 x 4 array and a 5 x 4 array. What was the large array that June started with?
8 x 4 because 3 + 5 = 8. The 4 factor never changes, so we know it must have been 8 x 4.
How would you distribute 3 x 6?
Multiple Answers
(2 x 6) + (1 x 6)
What are all the ways I can solve
3 x 5 x 2?
You need 3 to get the points
3 x 5 x 2
5 x 3 x 2
2 x 3 x 5
2 x 5 x 3
3 x 2 x 5
5 x 2 x 3
4 x 7 =
4 x 7 = 28
Which equation has a product of 18?
6 x 3
Or
3 x 5
6 x 3
June broke up a large array into a 2 x 7 array and a 4 x 7 array. What was the large array that June started with?
(2 x 7) + (4 x 7) = (6 x 7)
The large array was 6 x 7.
How would you distribute 7 x 4?
Multiple Answers
(5 x 4) + (2 x 4)
What are all the ways I can solve
2 x 3 x 4?
You need 3 to get the points
2 x 3 x 4
2 x 4 x 3
3 x 2 x 4
3 x 4 x 2
4 x 2 x 3
4 x 3 x 2
7 x 5 =
7 x 5 = 35
Sophia has 3 bags of softballs. Each bag contains 7 softballs. How many total softballs does she have?
3 x 7 = 21
June broke up a large array into a 6 x 2 array and a 3 x 2 array. What was the large array that June started with?
(6 x 2) + (3 x 2) = (9 x 2)
How would you distribute 4 x 9?
Multiple Answers
(2 x 9) + (2 x 9)
What are all the ways I can solve
7 x 5 x 1?
You need 3 to get the points
7 x 5 x 1
7 x 1 x 5
1 x 7 x 5
1 x 5 x 7
5 x 7 x 1
5 x 1 x 7
8 x 9 =
8 x 9 = 72
Ellie brings 4 stacks of cones with her to soccer practice. Each stack has 9 cones in it. How many total cones did she bring to practice?
4 x 9 = 36
June broke up a large array into a 7 x 4 array and a 1 x 4 array. What was the large array that June started with?
(7 x 4) + (1 x 4) = (8 x 4)
The large array was 8 x 4.
What larger multiplication equation did this problem start as?
(5 x 8) + (2 x 8)
7 x 8
The baker uses 2 cups of sugar to make a batch of cookies. At the end of the day there are 3 batches of cookies on each tray and 5 trays. How much sugar did the baker use?
2 x 3 x 5 = 30 cups of sugar
4 x 8 =
4 x 8 = 32
On their trip to the ocean a family rents an umbrella for 2 hours on Monday and 4 hours on Tuesday. If it costs $5 to rent an umbrella for one hour, how much did they spend to rent the umbrella on those two days?
(2 x 5) + (4 x 5) =
10 + 20 = $30
June broke up a large array into a 10 x 5 array and a 2 x 5 array. What was the large array that June started with?
(10 x 5) + (2 x 5) = (12 x 5)
The large array is 12 x 5.
What larger multiplication equation did this problem start as?
4 x 8
2 x 4 x 2 = ?
16
8 x 3 =
8 x 3 = 24
On Friday Mr. Miller bought 6 goldfish and on Wednesday he bought 4 goldfish. If each fish costs $2, how much did he spend on goldfish?
(6 x 2) + (4 x 2) =
12 + 8 = $20