A re
any numbers or letters grouped by parentheses?
"I have highlighted the parentheses.
In the first set of equations, numbers are grouped by parentheses in
one of the equations. In the second set of equations, both equations
have parentheses. Since I have numbers that are grouped by parentheses
for at least one of the two equations, I can go on."
S ee
if the groupings change from one equation to the next.
" Now I need to look at the groupings
of the numbers in each equation and see if they are different. In the
first set equations, 4 + 7 are grouped together and there is no grouping
in the second equation, so that is a change. In the second set of equations,
7 and 5 are grouped together in the first equation, but then the 5 and
8 are grouped in the second equation. So how numbers are grouped for
each equation is different."
S ame
numbers/letters, signs, and total?

Check and see if the:

Equations have the same
numbers or letters.

Equations have the same
operation signs.

Equations have the same
total.

Look at the first number/letter
in the first equation. Put a check under it. See if you can find that
number/letter in the second equation. If you do, put a check under
it. Do the same thing for each number and letter, the operation signs
and the total.
"I have a 7 in the first equation, and here
is one in the second equation, so I'll put a check underneath it. Now
I'll look at the 5 and see if I can find it in the second equation,
and then do the same thing with the 8. Now I'll look at the operation
signs. I have addition signs on both sides. Finally, I need to check
the totals. Both equations equal 20. I have the same numbers, the same
operation signs and the same total for each equation."
O ne, two THREE
 Count the total number of checks you have made
under the numbers for each equation. DON'T
count the numbers in the total.
"I have 1,2,3 checks for the numbers in the first
equation. And I have made 3 check marks under numbers in the second
equation. So each equation has at least 3 numbers."
C
an be all addition signs or all multiplication
signs.
 Look at the equations. Highlight each sign in
each equation to make sure that each one of them has only all addition
or only all multiplication signs.
"I have all addition signs in these two equations.
Each of the steps shows that these equations are examples of the associative
property."
