Download - Additive inverse zero pairs absolute value
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ADDITIVE INVERSEZERO PAIRS
ABSOLUTE VALUENUMBER LINE
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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…
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Where we were…
Equations and Expressions
Variables
Equality and the equal sign
Balance
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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.
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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?
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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
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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?)
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What is their score? How can you represent this on a number
line? How can you represent this
mathematically?
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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??
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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.
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Zero Pairs
These are also called Zero Pairs, because they combine to equal 0.
1 and -1
-10 and 10
-1000 and 1000
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How are Opposites, zero pairs and additive inverse similar?
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.
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How have your ideas changed?
If you agree with someone new, write your reasoning in your notebook.
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What other examples can you think of?
Money Football
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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?
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Check Homework