Unit 4 lesson 4

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

Let’s review our vocabulary:

• Variable – A letter or symbol that represents a number

• Term-

• Coefficient

• Constant

• Pattern

• Distributive property

• Commutative property

• Expression

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

4.4

Distributive Property

http://prezi.com/mqus64kvbhf2/distributive-and-commutative-property/













7(9+2)=63+14 or 7(11)

Is it okay to do this?

7(9+2)=14+63Turn and

Talk!


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!


Let’s look at another equation! First let’s solve them then state the property that was used!

8(3-2)= 24 – 16Answer: 8

8(3-2)= 8(1)Answer: 8

8(3-2)= -16 + 24Answer: 8



The Distributive Property including the use of the Commutative Property


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 - 168(7-2)= -16 + 56

-4(9+3) = -36 +(-12)-4(9+3)= -12 + (-36)


Are these two equations the same?

7(5-3)= 35-21 7(5-3)= -21+35

Yes, they are because the commutative property allows you to multiply or add numbers in any order and get the same answer!

14 14


Let’s take it one step further…

a(8+2)= 16 + 4,What’s the value of a?

4

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

got there Frank!

2a(8+2)= 16 + 4

What times 8will give me +16and what times 2 will give me +4?


Now you try one!

j(6+4)=18 + 12

j=3


Man, now this is critical thinking!

g(3 +4)= 9 +

g(3a +4)= 9a +

g(3a +4)= 9a+ b


3(3a +4)= 9a + 12

a=3b=12


Let’s wrap this all up!

You and your partner use a whiteboard to write this equation using the commutative property

7(3+2)= 21 + 14

You and your partner solve for the following variables

h(2x - 4) = -4h + i

That’s all folks!

Now let’s do some

independent

practice!

• 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.

In-Class assignment…


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…


Documents

Unit 4 lesson 4