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Combining Opposite Quantities to Get Zero
Presentation
•
Mathematics
•
5th - 7th Grade
•
Hard
Joseph Anderson
FREE Resource
18 Slides • 13 Questions
1
Module 2 Lesson 1: Opposite Quantities Combine to Make Zero
Number lines & Additive Inverse
2
All numbers on the left (<) of 0 are negative and all numbers to the right (>) of 0 are positive.
3
Multiple Choice
Counting UP starting at zero corresponding to ________ numbers.
negative
rational
additive inverse
positive
4
Multiple Choice
Counting down starting at zero corresponds to ________ numbers.
negative
rational
additive inverse
positive
5
Absolute Value
Always start at zero
The distance between a number and zero on a number line. Terms used are:
Additive Inverse
Opposites
Equal Distance
6
Fill in the Blanks
Type answer...
7
Multiple Choice
What do you call the distance between a number and zero on a number line?
Rational numbers
Positive numbers
Negative number
The absolute value
8
Open Ended
What is the relationship between 7 and -7? Hint: how many units?
9
What is the sum of the card values? *sum means to add*
10
Use the counting on method on the provided number line to justify your answer.
11
5 minus 5 = 0
12
0 minus 4 = -4
13
negative 4 + 8 = 4
Remember to be recording these answers in your Module 2 Mat book
14
What is the final position on the number line?
15
Multiple Select
What card or combination of cards would you need to get back to 0 (zero)?
3
-4
-2-2
-8
16
The Absolute Value of 7 is 7 units to the right of zero.
17
How far is -7 (or the opposite of 7) from 0 (zero) and in which direction?
18
All black cards (on top) are positive and all the red cards (at the bottom) are negative
19
Think back to our previous work, explain how you would use the counting on method to represent the following: While playing the Integer Game, the first card is 7, and second card selected is -7.
This is simply asking: If you have 7 and negative 7 where does the dot land?
20
Multiple Choice
What does this tell us about the sum of 7 and its opposite, -7?
hint: sum means total
0 (zero)
7
-7
21
Multiple Select
What is the relationship between 7 & -7?
7 & -7 both have the same absolute values
They are both the same distance from zero
they are in equal opposite directions from zero
7 & -7 are opposites
22
Look at the curved arrows you drew for 7 and -7. What relationship exists between these two arrows that would support your claim about the sum of 7 & -7? (answer on the next slide & in your book)
23
Multiple Choice
What relationship exists between these two arrows that would support your claim about the sum of 7 & -7?
nothing
both equal 6
equal opposites
24
Multiple Select
Do you think this will hold true for the sum of any number and its opposite? & why?
Yes, opposites always have an equal number of units
No, opposites are the sum of ten
Yes, opposites contain equal absolute values
No, absolute value means different sums
Yes, opposites cancel each other out to equal zero
25
We will play a game much like this when we meet on Thursday or Friday. The goal will be to get your cards to equal zero.
26
If red cards are negative and black cards are positive
Then what would these cards equal? *answer on the next slide*
27
Multiple Choice
2 - 3 + 1 =
1
-1
-2
0
-3
28
If red cards are negative and black cards are positive
Then what would these cards equal? *answer on the next slide*
29
Multiple Choice
-9 -1 + 7
-4
-3
3
0
-2
30
If red cards are negative and black cards are positive
Then what would these cards equal? *answer on the next slide*
31
Multiple Choice
10 -6 -9
-10
-5
10
-15
5
Module 2 Lesson 1: Opposite Quantities Combine to Make Zero
Number lines & Additive Inverse
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