1. Accentuate the Negative Investigation 1 E x t e n d i n g the Number System PositiveNegative Positive and Negative Numbers are called Integers!

2. 1.1 Playing Math Fever Using Positive and Negative Numbers If you have a current Math Fever score of -500 points and then answer the next four questions like shown above…. You can figure out the Final Score of -600 points! -600-550-500-450-400 Start -500 – 100 = -600 Incorrect 100 Correct 200-600 + 200 = -400 Incorrect 150-400 - 150 = -550 Incorrect 50 -550 - 50 = -600 End

3. 1.2 From Sauna to Snowbank Comparing & Ordering Positive and Negative Numbers A thermometer is a vertical number line. Positive Negative Order these temperatures from greatest to least: - 40 1/4° 81.5° 5° -10° 81.5° 5° -10° - 40.25° Opposites are the same distance from Zero: 20° and -20 ° are opposites!

4. 1.3 What’s the Change? Using a Number Line Model If the temperature rose from -4° F to 45° F in two minutes, what is the change in temperature? Starting Temp. + Change in Temp. = Ending Temp. 45°4°4° Temp. rose = positive number -4° + n = 45° -4° + +49° = +45°

5. 1.3 Continued If the temperature is - 4° F and it drops 10°, what is the ending temperature? Starting Temp. + Change in Temp. = Ending Temp. Temp. drops = negative number - 4° + -10 = n - 4° + -10 = -14°

6. 1.4 In the Chips Using a Chip Model To solve a problem using a chip board: Display 1 st # of number sentence onto chip board. Add or remove chips to represent 2 nd # of number sentence. (if chips need to be removed from the board but their aren’t enough there, chips must be added in the form of zero pairs) Remove the zero pairs from chip board. The chips remaining on the board represent the answer. Negative Positive 1 Red Chip + 1 Black Chip = a “Zero Pair”

7. 1.4 Practice 1 2 3 4 Display 1st # of number sentence onto chip board. Add chips to represent 2nd # of number sentence. Remove the zero pairs from chip board. The chips remaining on the board represent the answer.

8. Remove chips to represent 2nd # of number sentence. Only 2 chips are there, so 1 zero pair must be added. 1.4 Practice Then, the 3 red can be subtracted. Display 1st # of number sentence onto chip board. Since there are no zero pairs, two is the answer. 1 2a 2b 3