This document provides instruction on teaching students about combining opposites. It includes definitions of key terms like opposite, zero pairs, and additive inverse. The document outlines learning targets for students to describe situations where opposites combine to make 0, define absolute value, and explain the connection between opposites and zero pairs. Sample problems are provided like 5 + -5 = 0 to demonstrate that combining opposites always equals zero.

2.  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…

3.  Equations and Expressions
 Variables
 Equality and the equal sign
 Balance

4.  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.

5.  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?

6.  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 number
a. -8 b. 13 c. -22
a. 8 b. -13 c. 22

7.  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?)

8.  What is their score?
 How can you represent this on a number line?
 How can you represent this mathematically?

9.  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??

10.  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.

11.  These are also called Zero Pairs, because they
combine to equal 0.
 1 and -1
 -10 and 10
 -1000 and 1000

12. Opposites – Numbers that are the same distance
from 0, but in opposite directions.
Zero pairs – A pair of numbers that add up to 0.
Additive Inverse – Means “add the opposite.” If
you have -7 + ? = 0. 7 is the additive inverse of -7.
Basically their opposites.

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

14.  Money
 Football

15.  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?