Exponential Models
Unit 6 Planning Guide
| Lesson Objectives |
MORE
Assignments |
Suggested
Pacing |
Materials |
| Lesson 1 Exponential
Growth • To explore simple exponential
growth models of the form
y =a(2x) and y= a(3x) through tables, graphs, and
symbolic rules
• To compare exponential models of the form
y= a(2x) and y= a(3x) to linear models
• To compare the patterns found in the table and graph
of y a(2x) to those found in the table and graph
of y= a(3x) |
after page 424
Students can begin Modeling Task 4
or Reflecting Task 2 or 4 from
page 432 |
7 days |
• Optional: Tableplot software
• Teaching Resources 162–165
• Assessment Resources 207–212
• Optional: RAP Book Exercise Set 16,
Practice Set 8 |
after page 427
Students can begin Modeling Task
2 or 3, Organizing Task 1 or 3,
or Reflecting Task 1 or 5 from
page 432 |
page 432
Modeling: 1 and choice of one*
Organizing: 1, and 3 or 4*
Reflecting: 3 and choice of one*
Extending: Choose one* |
Lesson 2 Exponential
Decay
• To determine and explore the exponential decay model,
y= a(bx), where 0 <b <1, through tables, graphs,
and algebraic rules
• To compare exponential decay models with exponential
growth models
• To compare exponential models of the form y= a(bx),
where 0< b< 1, to linear models |
after page 443
Students can begin Modeling
Task 1 or Organizing Task 1
from page 448 |
5 days |
• 20 black checkers
• 160 red checkers
• Teaching Resources 161a–161c,
166–169
• Assessment Resources 213–218
• Optional: Tableplot software
• Optional: RAP Book Practice Set 9 |
after page 445
Students can begin Modeling
Task 2 or Reflecting Task 4
from page 448 |
page 448
Modeling: 6 and choice of one*
Organizing: 1 and 4
Reflecting: 4 and 5
Extending: 1 |
Lesson 3 Compound Growth
• To recognize that if an initial quantity Q is growing at r%
per year, then it can be modeled by the exponential form
 and to apply this model when solving
real -world applications |
page 457
Modeling: 1, and 2 or 3*
Organizing: 1, 2, and 4
Reflecting:1
Extending: Choose one* |
3 days |
• Optional: Book of car values
• Teaching Resources 170–171
•Assessment Resources 219–224
• Optional: RAP Book Exercise Set 17 |
Lesson 4 Modeling
Exponential Patterns in Data
• To experience exponential change in a visual and
tactile manner by completing investigations that result
in exponential models
• To use the graphing calculator or computer software to
determine exponential models for real -world data, modeling
both increasing and decreasing exponential situations
• To collect a data set, create a scatterplot, and determine
an exponential model using the characteristics of the
scatterplot and data, or using the graphing calculator or
computer software
• To appreciate the importance of exponential models
in a world where change often occurs at an ever
increasing rate |
after page 465
Students can begin Modeling
Task 1, 2, 3, or 4 or Organizing
Task 1 or 4 from page 468 |
6 days |
• Popcorn kernels
• Thumbtacks
• Paper plates
• Optional: 200 plastic spoons
• Teaching Resources 172–174
• Assessment Resources 225–230
• Optional: RAP Book Exercise Set 18 |
page 468
Modeling: Choose one of 1–4,
and 5 or 6*
Organizing: 1, 3, and 4
Reflecting: Choose one*
Extending: 2, and 3 or 4* |
Lesson 5 Looking Back
• To review the major objectives of the unit |
|
2–3 days
(includes
testing) |
• Teaching Resources 175a–175b
• Unit Summary Master
• Assessment Resources 231–248
• Optional: RAP Book Practice Set 10 |
* When choice is indicated, it is important to leave the
choice to the student.
Note: It is best if Organizing tasks are discussed as a whole class after they
have been assigned as homework.
Start solving your Algebra Problems
in next 5 minutes!
 |
 |
 |
|
Algebra Helper
Download (and optional CD)
Only $39.99
|
|
Click to Buy Now:
OR
|
|
|
 |
 |
 |
|
2Checkout.com is an authorized reseller
of goods provided by Sofmath
|
|
Attention: We are
currently running a special promotional offer
for Algebra-Answer.com visitors -- if you order
Algebra Helper by midnight of
April 26th
you will pay only $39.99
instead of our regular price of $74.99 -- this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
order page.
If you order now you will also receive 30 minute live session from tutor.com for a 1$!
|
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
Step 1
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following areas:
- simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)
- factoring and expanding expressions
- finding LCM and GCF
-
(simplifying, rationalizing complex denominators...)
- solving linear, quadratic and many other equations
and inequalities
(including basic logarithmic and exponential equations)
- solving a system of two and three linear equations
(including Cramer's rule)
- graphing curves (lines, parabolas, hyperbolas, circles,
ellipses, equation and inequality solutions)
- graphing general functions
- operations with functions (composition, inverse, range, domain...)
- simplifying logarithms
- basic geometry and trigonometry
(similarity, calculating trig functions, right triangle...)
- arithmetic and other pre-algebra topics
(ratios, proportions, measurements...)
ORDER NOW!
|
|
|
|
Algebra Helper
Download (and optional CD)
Only $39.99
|
|
Click to Buy Now:
OR
|
|
|
|
|
|
|
|
2Checkout.com is an authorized reseller
of goods provided by Sofmath
|
|
|
 |
| |
| "It
really helped me with my homework. I was
stuck on some problems and your software walked me
step by step through the process..." |
| C. Sievert, KY
| |
| |
 |
| |
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
|
Phone:
(512) 788-5675
Fax: (512) 519-1805
| | |
