Unit 7

Exponents and Exponential Functions

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EQUIVALENCE
Essential Question: How can you represent very large and very small numbers?

PROPERTIES
Essential Question: How can you simplify expressions that involve exponents?

FUNCTIONS
Essential Question: What are the characteristics of exponential functions?
   

 

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Lesson/Objective Supplemental Lessons On-line Practice Suggested
Homework
7-1  Zero and Negative Exponents

Objective:  To simplify expressions involving zero and negative exponents.

Essential Understandings: 
The idea of exponents can be extended to include zero and negative exponents. 
 


Video Tutors

Simplifying exponential algebraic expressions including negative values

Evaluating exponential expressions
 


self-check quiz

Solve It!

Additional
PROBLEMS

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hw#7-1

Read pg 418-421
pg 421 #5-12 ALL, 13-31 ODD, 47-53 ODD 
7-2  Multiplying Powers with the Same Base

Objective:  To multiply powers with the same base.

Essential Understandings: 
You can use a property of exponents to multiply powers with the same base.

 


Video Tutors

Multiplying powers with the same base

Multiplying powers in an algebraic expression

Multiplying numbers in scientific notation
 


self-check quiz

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Additional
PROBLEMS

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hw#7-2: Due 

Read pg 425-429
pg 429-430 #5,6,8-19 ALL

We WILL do Scientific Notation LATER in this unit (not to worry!)... if you want a little pre-study, take a look here: NY REGENTS PREP Scientific Notation Resources

You will NOT be responsible for rational (fractional) exponents

7-3  More Multiplication Powers of Exponents

Objective: To raise a power to a power. To raise a product to a power.

Essential Understandings: 
You can use properties of exponents to simplify a power raised to a power or a power raised to a power.
 

Video Tutors

Simplifying a power raised to a power

Raising a product to a powet

Raising a number in scientific notation to a power


self-check quiz

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Additional
PROBLEMS

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hw#7-3: Due 

pg 439-442
pg 436-437 #8-12 ALL, 
#13, 17, 21, 25, 29, 33,
#61-63 ALL
7-4  Division Properties of Exponents

Objective: To divide powers with the same base. To raise a quotient to a power.

Essential Understandings: 
You can use properties of exponents to divide powers with the same base.

 


Video Tutors

Dividing algebraic expressions containing exponents

Dividing numbers in scientific notation

Raising a quotient to a power

 


self-check quiz

Solve It!

Additional
PROBLEMS

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hw#7-5: Due 

pg 443 #19-23 Odd, 41-47 Odd

Complete Problem Set 7B

Problem Set 7B AnsKey

Optional Practice for Quiz
pg 439 #1-infinity

 

UNIT 7 QUIZ:
TBA

7-6  Exponential Functions

Objective: To evaluate and graph exponential functions.

Essential Understandings: 
Some functions model an initial amount that is repeatedly multiplied by the same positive number. In the rules for these functions, the independent variable is an exponent.

 

Video Tutors

Evaluating an exponential function

Graphing an exponential function

Using an exponential function to model real-world situations


self-check quiz

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Additional
PROBLEMS

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hw#7-6: Due 

pg 456-457
#1-7 All
#9-33 Odd, #34
7-7  Exponential Growth and Decay

Objective: To model exponential growth and decay.

Essential Understandings: 
An exponential function can model growth or decay of an initial amount.

 


Video Tutors

Modeling exponential growth

Finding compound interest compounded annually, semi-annually, quarterly, and monthly

Modeling exponential decay


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!

hw #7-7
   
Read pages 460-463
Write the definitions for GROWTH FACTOR and DECAY FACTOR into your notes
pg 460
#1-12 All
#13-27 Odd
#28-31 All

UNIT 7 TEST on THURSDAY, March 22;
NO fractional exponents; Very limited questions on section 7-8 (Geometric Series/Sequences)

7-8  Geometric Sequence and Series

UNIT TEST REVIEW

  UNIT 7 EXTRA PRACTICE

CUMULATIVE REVIEW 1-7

hw#7-8 Due 
  
pg 470 #1,2,3,9, #11-21 Odd

Unit 7 Review (Exclude fractional exponents and section 7-5)
Very limited problems in section 7-8; you will NOT be asked to write a recursive or explicit formula
pg 475-479 #10,12,14,19,25,31,32,33,44,49,50,65,68,71,75,77,80,81

If you want to do extra work in the Chapter Test (pg 479) exclude the following problems:
EXCLUDE #4,6,7,8,9,10,22

 
UNIT 7 TEST:  No Fractional Exponents;
TBA