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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.