Download Blizzard Bag 1

Academic/Career & Technical Related/Demonstration Lesson Plan
Instructor
Sara Haldi
Program/Class
Date
Math 4
Period
Blizzard Bag 1
2, 3
State Indicator/Competency:
1.
2.
3.
4.
Extend the properties of exponents to rational exponents.
Use the properties of exponents to transform expressions for exponential functions.
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
Perform operations with numbers expressed in scientific notation, including problems where both
decimal and scientific notation are used.
Instructional Objective(s):
1.5c Properties of Exponents
1. Students will be able to write exponential expressions in expanded form with 80% accuracy.
2. Students will be able to use the properties of exponents (Zero Exponent, Negative Exponent) to simplify
expressions involving exponents with 75% accuracy.
3. Students will be able to use the properties of exponents (Product of Powers, Quotient of Powers, Power
of a Power, Power of a Product, Power of a Quotient) to simplify expressions involving exponents with
75% accuracy.
4. Students will be able to simplify expressions involving scientific notation with 80% accuracy.
Student Materials: Blizzard Bag packet 1, pencil, calculator
Method of Instruction: independent
Activities:
BLIZZARD BAG 1 WORKSHEET DUE in Two Weeks
Exponential Form
Base
Writing Exponential Expressions in Expanded Form
1. Write each expression in expanded form
a.
b.
c.
d.
Expanded Form
A nonzero quantity raised
to the zero power is
equal to 1.
( )
A nonzero base raised to a
negative exponent is equal to
the reciprocal of the base
raised to the opposite, positive
exponent.
( )
( )
Simplifying Expressions with Negative Exponents
2. Simplify each expression
a.
b.
( )
c. ( )
d.
( )
( )
(
)
To multiply powers with the same base, add the
exponents.
To divide powers with the same base, subtract
the exponents.
To raise one power to another, multiply the
exponents.
To find the power of a product, apply the
exponent to each factor.
To find the power of a quotient, apply the
exponent to the numerator and denominator.
( )
( )
Using Properties of Exponents to Simplify Expressions
3. Simplify each expression. Assume all variables nonzero.
a.
b.
(
)
c.
d.
Scientific Notation – a method of writing numbers by using powers of 10.
A number takes the form
, where
and n is an integer.
Scientific Notation
Move the Decimal
Right 7 places
Left 7 places
Standard Notation
12,750,000
0.00000035
Simplifying Expressions Involving Scientific Notation
4. Simplify each expression. Write the answer in scientific notation.
a.
(
)
(
)
b.
Assessment:
Worksheet Blizzard Bag 1 (10pts)
Math 4: Haldi
Name: _____________________________
Date: ____________ Period: ______
Blizzard Bag 1
SHOW ALL WORK FOR FULL CREDIT
Write each expression in expanded form.
1.
1. ____________________________
2.
2. ____________________________
3.
3. ____________________________
Simplify each expression.
4.
4. ____________________________
5.
5. ____________________________
(
)
6.
7.
6. ____________________________
(
)
7. ____________________________
Simplify each expression. Assume all variables are nonzero.
8.
8. ____________________________
9.
9. ____________________________
10.
10. ___________________________
11.
11. ___________________________
Simplify each expression. Write the answer in scientific notation.
12.
12. ___________________________
13.
13. ___________________________