1. 1. 10 0 2. 15 0 3. (.5) 0 4. ( ⅔ ) 0 5. (-.8) 0 6. (-5) 0 Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Use the calculator to evaluate each of the following. Describe what you observe. Do Now (4 minutes) Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

2. 1. 10 0 2. 15 0 3. (.5) 0 4. ( ⅔ ) 0 5. (-.8) 0 6. (-5) 0 Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Any number, term or expression raised to the power of zero is one. = 1 Example: x 0 y 0 =1 (6 x ) 0 =1 Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

3. Power : An expression in the form b x. Base : In an expression of the form b x, the b ase is b. Exponent : In an expression of the form b x, the e xponent is x. It tells you how many times the base is used in repeated multiplication. Vocabulary Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

4. You get rid of Negative Exponents by flipping the exponent like reciprocals. Move the number or variable raised to a negative power to the other side (of the fraction). The exponent will then be positive. Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

5. Why didn’t the 4 move? It isn’t raised to a negative power (would be in parenthesis). Examples Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

6. If the negative exponent is on bottom, move to the top. Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

7. TRY THESE ON YOUR OWN! Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

8. GROUPWORK Complete Past Regents Questions Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

9. Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Share-out Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary

10. Compare and contrast evaluating numbers with Negative Exponents and finding the slope of perpendicular lines. summary Aim: How do we evaluate and simplify expressions with zero and Negative Exponents? Agenda: 2/10/11 Do Now Evaluating numerical exponents Mini-Lesson Vocabulary Zero Exponents Negative Exponents Group work Past Regents Questions Share-out Discussion Summary