Post on 30-Dec-2015
1. 100
2. 150
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: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
1. 100
2. 150
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= 1= 1
= 1= 1= 1
Example:x0y0=1(6x)0=1
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
Power: An expression in the form bx.
Base: In an expression of the form bx, the base is b.
Exponent: In an expression of the form bx, the exponent is x. It tells you how many times the base is used in repeated multiplication.
Vocabulary
36BasePowerExponent /
Aim: How do we evaluate and simplify expressions with zero and Negative Exponents?
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
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: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
34 x3
4
x
22
1 12
2 4
Why didn’t the 4 move?It isn’t raised to a negative power (would be in parenthesis).
Examples
3
14x
Aim: How do we evaluate and simplify expressions with zero and Negative Exponents?
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
If the negative exponent is on bottom, move to the top.
3
12d
Aim: How do we evaluate and simplify expressions with zero
and Negative Exponents?
3
2d
32d
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
TRY THESE ON YOUR OWN!3 4 6
7
1 8
1.5 2.
1 33. 4.7 6
x y
Aim: How do we evaluate and simplify expressions with zero
and Negative Exponents?
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
GROUPWORKComplete Past
Regents Questions
Aim: How do we evaluate and simplify expressions with zero
and Negative Exponents?
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
Aim: How do we evaluate and simplify expressions with zero
and Negative Exponents?
Share-out
Agenda: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary
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: 2/10/11Do Now•Evaluating numerical exponents
Mini-Lesson•Vocabulary•Zero Exponents•Negative Exponents
Group work•Past Regents Questions
Share-out•Discussion
Summary