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 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…
 Equations and Expressions
 Variables
 Equality and the equal sign
 Balance
 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?
 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
 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??
 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.
 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.
 Money
 Football
 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?
Combining Opposites: Understanding Zero Pairs

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Combining Opposites: Understanding Zero Pairs

  • 1.
  • 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.
  • 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?

Editor's Notes

  1. 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,
  2. Football… gained 3 yards, then lost 3 yards.Money – earned $10, bought something for $10.Verticals – 32 inch vertical, then comes down 32 inches