The lesson objective is to use multiple properties, including the distributive and commutative properties, to solve equations and find missing values. It reviews these key properties and terms - variable, term, coefficient, constant, pattern. Examples are provided to demonstrate using the distributive property to solve equations in different forms using the commutative property. Students then practice these skills on sample equations and an assignment evaluates their understanding.

1. Unit 4 Lesson 4
Objective: Today our goal is to use multiple properties to solve
equations and solve for missing values using the Distributive and
Commutative Property

2. Let’s review our vocabulary:
• Variable – A letter or symbol that represents a number
• Term-
• Coefficient
• Constant
• Pattern
• Distributive property
• Commutative property
• Expression

3. Let’s review the Order of Operations ONE MORE
TIME!
 Objective: Today our goal is to use multiple properties to solve equations and solve
for missing values using the Distributive and Commutative Property

6. 4.4

7. Distributive Property
http://prezi.com/mqus64kvbhf2/distributive-
and-commutative-property/
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

8. 7(9+2)=63+14 or 7(11)
Is it okay to do this?
7(9+2)=14+63
Turn and
Talk!
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

9. If we get the same answer then it’s totally okay!
It is because of a certain property that
we can move the numbers around
when multiplying or adding while
using the Distributive Property and it
will still give us the same answer!
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

10. Let’s look at another equation! First let’s solve
them then state the property that was used!
8(3-2)= 24 – 16  Distributive Property
Answer: 8
 Distributive Property
8(3-2)= 8(1)
Answer: 8
 The Distributive Property
8(3-2)= -16 + 24 including the use of the
Commutative Property
Answer: 8
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

11. Now you try! Use the commutative property to
write the equation that uses the distributive
property in a different way!
7(9 + 4) = 63 + 28
7(9+4) = 28 + 63
8(7-2) = 56 - 16
8(7-2)= -16 + 56
-4(9+3) = -36 +(-12)
-4(9+3)= -12 + (-36)
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

12. Are these two equations the same?
7(5-3)= 35-21 7(5-3)= -21+35
14 14
Yes, they are because the commutative property allows you to
multiply or add numbers in any order and get the same answer!
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

14. Let’s take it one step further…

15. a(8+2)= 16 + 4,
What’s the value of a?
4

16. a(8+2)= 16 + 4,
Awe that’s easy, it’s… it’s… it’s…
well that’s some question you
got there Frank!

17. a(8+2)= 16 + 4
What times 8
will give me +16
and what times 2
will give me +4?
2
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

18. Now you try one!
j(6+4)=18 + 12
j=3
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

19. Man, now this is critical thinking!
Distributive Property
g(3 +4)= 9 +
g(3a +4)= 9a +
a=3 g(3a +4)= 9a+ b
b=12 3(3a +4)= 9a + 12
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

20. Let’s wrap this all up!
You and your partner You and your partner
use a whiteboard to solve for the
write this equation following variables
using the
commutative
property h(2x - 4) = -4h + i
7(3+2)= 21 + 14

21. That’s all folks!
Now let’s do some
independent
practice!

22. In-Class assignment…
• Work independently to complete the in-class work
on Evaluating Expressions
• Your teacher will monitor your progress while you
work
• When you finish, please work on Math
Minutes, Complete corrected homework, or Read
your choice book
• Do Not raise your hand. Look at your notes for
help or skip the question and work on a different
question until your teacher comes to your desk.
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property

23. Exit Ticket
• What is something that I learned in
today’s lesson that I didn’t know how to
do that I now know how to do?
• I wonder…
 Objective: Today our goal is to use multiple properties to solve equations and solve for missing
values using the Distributive and Commutative Property