Integer Opposites

I can identify an integer and its opposite.

 

Fla

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ba

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Name!:!__________________________________________!

Number of Pets at Gordon’s Petmart Dogs 13 Cats 4 Birds 6

Snakes 2 Hamsters 20

Fish 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

2. Which type of pets

have 10% of the number of fish?

a. Cats b. Birds c. Snakes d. Hamsters

3. What is the mean number of pets?

a. 6 b. 12 c. 15.3 d. 14.2

4. What is the median number of pets?

a. 9.5 b. 13 c. 6 d. 10.3

Remember back to yesterday….

Integers include all whole numbers positive and

negative (including zero).    

• Each integer has an opposite.

• An integer and it’s opposite have

the same distance away from zero on the number

line.

Integer Opposites

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.

1. What is the opposite of -5

a. -5 b. 0 c. 5 d. 10

2. What is the opposite of 12

a. -12 b. 12 c. 0 d. 24

3. The elevation of New Orleans

is 8 ft. below sea level. Use an integer to represent the opposite of this elevation.

a. -8 b. 8 c. 16 d. 0

4. The temperature outside is 12° F. Use an integer to represent the opposite of this temperature.

a. 12 b. -12 c. 24 d. -24

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

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.

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