Distributive Property

Multiplication & Division 6s & 7s

Objective: Use the distributive property as a strategy to multiply and divide using units of 6 and 7. 

Label the tape diagrams. Then, fill in the blanks below to make the statement true.

We need to find out what 6 x 6 = ?

I don't know my 6s that well but I know my 5s and 1s.

So I am going to break one of my 6s down in 5 and 1 because I know that

5 + 1 = 6.

They told me my 5 goes over here on the left

and I can see that there are 5 empty boxes too on the left side of the dotted line.

Now I need to figure out where my 1 will go.

If my 5 is on the left side of the dotted line, than that means my 1 goes on the right side of the dotted line.

Now I need to figure out what 5 x 6 = ?

I can count by 5s or I can add up 6 five times.

We are going to add 6 five times because that is what our problem wants us to do.

Now we have figured out the left side of the dotted line and know that 5 x 6 = 30

We need to do the other side too.

What do you think I am going to put in this box?

Are we counting by 1s or 6s?

So 1 x 6 = ?

You should now have problem #1a filled out like this so far.

But we are not done...

Problem 1b

7 x 6

Well, we should know that 5 x 6 = 30 because we just found that out in problem 1a.

What do I do with the 30 and 12?

Next Page

Division 54 ÷ 6

We need to find two numbers that make 54 but can also be divisible by 6.

They gave us 30 and 24. Does 30 + 24 = 54??

If we were not sure, we could look at our multiplication facts of 6 and find two numbers that make 54.

Can anyone tell me what 24 ÷ 6 = ?