Key points: positive/negative, positive to right – negative to left, numbers get bigger to the right, smaller to the left, can be vertical or horizontal, part of a coordinate plane,
Football… gained 3 yards, then lost 3 yards.Money – earned $10, bought something for $10.Verticals – 32 inch vertical, then comes down 32 inches
Additive inverse zero pairs absolute value
Read each statement about the topic “Combining
Write down who you agree with and why.
Alex – “Combining opposites is just doubling the
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…
Equations and Expressions
Equality and the equal sign
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 numbers are…
Share your definition with the group behind you.
Two numbers that are the same distance from
0 on a number line, but in opposite directions,
Find the opposite of each number
a. -8 b. 13 c. -22
a. 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
You have discovered Additive Inverse
The sum of a number and its additive inverse
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.
These are also called Zero Pairs, because they
combine to equal 0.
1 and -1
-10 and 10
-1000 and 1000
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.
If you agree with someone new, write your
reasoning in your notebook.