2.4
Distributive Property
A visual representation along with algebraic
representations
Pull
Trick-or-Treat
You are giving out candy to trick-or-treaters on
Halloween. You have 3 types of candy: Chocolates,
Bubble gums, and Apples. The trick-or-treaters are
very picky this year; each set of children have
requests on which type of candy and how many of
each type they want from you.
Apples
Bubble gums
Chocolates
The first group rings your door bell. There are 2
children and each one wants 2 Chocolates and 3
Bubble Gums.
Pull
2(2c+3b)
Teacher shoul
discuss with s
-There are 2 ch
bags. Each on
amount to BOT
Then ask a stu
each candy int
Next teacher s
and how many
Answer: 4 Cho
Another group rings your door bell. This time there are 3
children. Each child wants 1 Bubble gum and 2 Apples.
Pull
3(1b+2a)
Again:Teach
should discu
situation. -T
groups. And
DISTRIBUTE
Have studen
each of the b
Next teacher
and how ma
Answer: 3 B
Another group of trick-or-treaters ring your door bell. There
are 2 children, and each child asks for 3 Apples and 5
Chocolates.
Pull
2(3a+5c)
Again:Teache
should discus
situation. -The
the same cand
DISTRIBUTE t
Have student
each of the ba
Ask class how
chocolates we
Answer: 6 app
her can either
ay for
dents should
each problem.
Another way to represent the amount of total candy
given out to each of the sets of trick-or-treaters is:
2(2c+3b)
3(1b+2a)
2(3a+5c)
2c+3b
+2c+3b
1b+2a
1b+2a
+1b+2a
3a+5c
+3a+5c
Answers:
2(2c+3b)= 4c+6b
3(1b+2a)= 3b+6a
2(3a+5c)= 6a+10c
Pull
nce there are
e add straight
can not mix
rms together.
Pull
there are in
the outside
orking with;
Now we have 2 different ways to simplify the
same problem, visually and expanding the groups
then adding, BUT does anyone see an easier way
to simplify these expressions??
2(4a+3c)
2(6x+2y)
4(3w+7r)
2(4a)+2(3c)
8a+6c
2(6x)+2(2y)
12x+4y
4(3w)+4(7r)
12w+28r
Pull
We can DISTRIBUTE!!!
If students
that you ge
before, eith
Remembe
distribute t
parenthes
candy!
Student Practice
Simplify the expressions:
(7m - 5n)4
-(9u + 4v)
Pull
-3(x - 5y)
Have stud
desks firs
board usin
Answers
-3(c - 5y
-(9u + 4
9 - 2(3g
3(2c - 4d) - 11c
9 - 2(3g + 2)
-21 + 5(7j - 8)