ADDITIVE INVERSEZERO PAIRS

ABSOLUTE VALUENUMBER LINE

Bell Ringer Read each statement about the topic

“Combining Opposites.” Write down who you agree with and why.

Alex – “Combining opposites is just doubling the number.”

Bryan – “Combining opposites would give you 0.”

Carrie – “I don’t know how to combine opposites.”

You should start your sentence like this… I agree with Alex/Bryan/Carrie because…

Where we were…

Equations and Expressions

Variables

Equality and the equal sign

Balance

Where we are…

Unit Plan Look at the first Learning Target Rank yourself – put a mark and the date

underneath

Students will learn to… Describe situations in which opposite

quantities combine to make 0. Describe the connection between opposites,

zero pairs and additive inverse. Define absolute value.

What do you know about a number line? 1 volunteer to write on the board

Use the number line above to define the word opposite.

Opposite numbers are…

Share your definition with the group behind you.

Class definition?

Common Core Definition

Two numbers that are the same distance from 0 on a number line, but in opposite directions, are opposites.

Practice… Find the opposite of each numbera. -8 b. 13 c. -22a. 8 b. -13 c. 22

This is a definition from Learnzillion.com. What is absolute value?

Create a human number line.

Absolute Value is the distance from 0. Can’t be negative. ( How many hops to get to 0?)

What is their score? How can you represent this on a number

line? How can you represent this

mathematically?

What is the expression (math sentence) to solve this problems? 5 + -5 or -5 + 5 In either case, the answer is 0.

When you combine opposites, is it always equal to zero? (think about the scale, does it balance??

Additive Inverse

You have discovered Additive Inverse The sum of a number and its additive

inverse is 0. In other words, when you add a number and

it’s opposite, you get 0. (Remember the Balance?)

Sort of like canceling each other out.

Zero Pairs

These are also called Zero Pairs, because they combine to equal 0.

1 and -1

-10 and 10

-1000 and 1000

How are Opposites, zero pairs and additive inverse similar?

Opposites –

Zero pairs –

Additive Inverse -

How have your ideas changed?

If you agree with someone new, write your reasoning in your notebook.

What other examples can you think of?

Money Football

Learning Target

Can you…

Describe situations in which opposite quantities combine to make 0?

Can you… Define opposites, zero pairs, and additive

inverse and give examples of each?

Check Homework