Download I can identify an integer and its opposite.

Integer
Opposites
I can identify an integer and
its opposite.
Flashback
Number of Pets at Gordon’s Petmart
Dogs
Cats
Birds
Snakes
Hamsters
Fish
13
4
6
2
20
40
1. Which type of pets
does the pet store have
that are about twice as
many as birds?
a. Cats
b. Dogs
c. Hamsters
d. Fish
3. What is the mean number
of pets?
2. Which type of pets
have 10% of the
number of fish?
a. Cats
b. Birds
c. Snakes
d. Hamsters
a. 6
b. 12
c. 15.3
d. 14.2
4. What is the median
number of pets?
a.
b.
c.
d.
9.5
13
6
10.3
Remember back to yesterday….
Integers include all whole
numbers positive and
negative (including zero). Integer Opposites
• Each integer has an opposite.
• An integer and it’s opposite have
the same distance away
from zero on the number
line.
For ExamplE
2 and -­‐2 2 Spaces away from 0 on the number line 2 Spaces away from 0 on the number line Since 2 and -­‐2 are both 2 spaces away from zero on the number line, they are opposites Your Turn
•  On the table at the bottom of your Integer
Opposite Notes Page you and your shoulder
partner need to come up with two integers each
and copy down their opposites.
•  Take the next two minutes to complete this….
What happens
when you add two
opposites
together?
2 + -­‐2 = ? 0 Fill the
first
three
columns
of the
chart
out. You
will fill
the final
column
out later
in the
lesson.
Meaning of Zero
Now that we have learned
about all of the integer
opposites, where does zero
fit in? What does it mean?
Zero
• 
• 
Zero means many things…
Temperature
What does 0 on
the thermometer
mean?
Money
•  Jason withdrew $12
from his bank account.
How could you
represent this with an
integer?
•  What does 0 mean in
this situation?
Zero means 0 (no)
balance
Money
•  Wesley takes $6 out
of his account and
then puts $6 into his
account
•  What does 0 mean in
this situation?
Zero means 0 (no) net
change In his account
Distance
•  Niagara Falls drops
200 feet.
•  What does 0 represent
in this situation?
Zero means 0 (no) drop – the
height of the water.
Elevation
•  Jaxon is climbing a
tree, and he is 8 ft.
above the ground?
•  What does 0 represent
in this situation?
Zero means the height
of the ground.
Football
•  Randy’s Football team
lost 4 yards on the
last play.
•  What does 0 represent
in this situation?
Zero means no gain on
the play.
Partner Work
Work with your partner to finish
filling in the chart on your paper.
Explain the meaning of zero in
each situation.
Exit Slip
1. What is the opposite of -5
2. What is the opposite of 12
a.
b.
c.
d.
a.
b.
c.
d.
-5
0
5
10
3. The elevation of New Orleans
is 8 ft. below sea level. Use an
integer to represent the
opposite of this elevation.
4. The temperature outside is
12° F. Use an integer to
represent the opposite of this
temperature.
a.
b.
c.
d.
a.
b.
c.
d.
-8
8
16
0
5. At 8:00 a.m., the temperature
was -5°F. At 9:00 a.m., the
temperature went up by 5°F.
What was the temperature at
9:00 a.m.?
a. 5°F
b. -5°F
c. 0°F
d. 10°F
!
-12
12
0
24
12
-12
24
-24
6. Jack stands on a platform 10
feet above the water. He
dives to a depth of eight feet
below the water. What does
zero represent in this
situation?
a. Zero is the height Jack
dives from.
b. Zero is the surface of the
water.
c. Zero is the depth Jack
dives to.
d. Zero is 10 + 8 = 18.