Welcome to Algebra II, a fast paced course designed to prepare you for college mathematics.
Materials needed for this course: Algebra 2 book, a TI-83/TI-84 calculator, loose leaf binder, paper, pencil and eraser, and graph paper.
Grading:
tests 30%
quizzes 25%
Class work 15%
Homework 15%
Work Habits 10%
Research project 5%
ABSENTEEISM: All tests, quizzes, homework and class work must be made up within 4 school days when you are legally absent. Quizzes are test are expected to be made up the first day you return from an absence, unless you've been absent for more than one day.
HELP: After school assistance is available on most Tuesdays from 2:10 to 2:50 in the media center. Other days may be available, but prior arrangements with the teacher are necessary. I am also available Monday- Thursday in F209 during the first lunch.
Progress notes: Handed out approximately every third week. It will be announced in the notes below when they are handed out. Parent signed returned progress notes are recorded as a homework grade.
April 28: substitute - worksheets done in class. No hw.
Plans for the remainder of the year!
Date Section Assignment Important topics
Apr 29/30 8.1 469-470 13-17 odds, 35-41 odds, 43-45, 59-61 Graph exponential functions, identify initial value, growth factor, rate of growth, domain, range, the asymptote, solve word problems, compound interest
May 1/2 8.2 477-47911-41 odd, 43-49 all Graph decay functions, determine whether the function grows or decays, identify initial value, decay factor, rate of decay, domain, range, the asymptote, solve word problems
5/6 8.3 483-484: 17-75 odd, 76, 79, 80 Compound continuously evaluating and simplifying expressions with e, meaning of e, graphing functions, identify domain, range ,and asymptote
7/8 8.4 490: 17-75 odd, 79-81 all Evaluate logarithmic expressions, simplify logarithmic expressions, finding inverse functions, and graph logarithmic functions, identify domain and range
9/12 8.5 496-497: 15-73 odds Use properties of logs
13/14 8.6 505-506: 19-59 odds Solve logarithmic and exponential equations
15/16 9.1, 2.4 537-538: 21-43 odds, 45-47 all
Page 96: 43-57 odds Write and solve variations
19/20 9.2 543-544: 11-39 odds Senior exam review, Graph simple rational functions, identify asymptotes, domain and range
21/22 9.3 550-551: 11-37 odds Senior exam review, Graph general rational functions, identify asymptotes, domain and range
23/27 9.4 558-559: 17-49 odds, 565-566: 13-45 odds Senior exam, Multiply, Divide, Add, and Subtract rational expressions
28/29 9.5 571-572: 15-49 odds Solve rational expressions, final exam review
30/ Jun 2 Final exam review
3-6 exams
**1. All work will be collected. What is graded will be up to me. You will be ‘interviewed’ to verify that you have done the work and understand it. If you perform poorly during your ‘interview’ you will need to redo the work. The grade will not be awarded. Only upon a successful ‘interview’ will your grade be awarded.
2. Any work not completed will earn a grade of “0”.
3. I am available during class time or Wildcat Hour for mini-lessons.
4. Final Exam review sheets will be graded as quiz grades.
Research Project: Due May 7-12. A project handed in after the 12th will receive 10 points off each day it is late.
Log onto the www.arundelhigh.org. Click the media center tab and click on the Thomson Gale Resource center. Search for ‘logarithm’.
1. What is a logarithm? (Give a one word answer) Give an example of one.
2. For which number sets are logarithms defined?
3. Logarithms are used to reduce Multiplication to ____________, Exponentiation to ________, Division to ___________, and Roots to _____________. In other words, then can make a problem ________________.
4. What are the most common bases? How are they written?
5. a) What fields use base e?
b) What fields use the common log?
c) What fields use Base 2?
6. Which bases are on a calculator?
6. Is there one concensus on how logarthims should be written ? Explain.
7. How can problems with other bases of logarithms be calculated using a calculator?
8. Why would a math student who is taking algebra 2 need to know how to use logarithms?
9. What are some applications of logarithms in our society?
10. List four logarithmic identities
11. Which two men invented logarithms? Who is credited with the invention and why?
A. Log onto http://www.themathpage.com/aPreCalc/logarithms.htm.
1. What is a logarithm?
2. Explain how each answer is found from the logarithms below:
a) log232 = 5,
b) log81 = 0, ?
c)
log4 1
16 = −2
d) log55 = 1
3. What is a common logarithm?
4. What is a natural logarithm?
5. What is the value of the Euler number?
6. What base is used if there is no base shown (ex: log 100)
C. Log onto: http://www.sosmath.com/algebra/logs/log1/log1.html.
1. Who invented logarithms and in what year? Were they the same?
2. For what reason did these inventors invent logarithms?
3. Who defined logarithms as exponents? In what year did this take place?
4. For what are exponents a shortcut? Give an example.
D. Log onto http://www.sosmath.com/algebra/logs/log4/log46/log46.html.
1. What would be the first step in solving ? Why?
2. In the solving of the logarithmic equation , what is the first step? How does this compare to solving the algebraic equation 10x – 8 = 60?
E. Log onto: http://mathforum.org/library/drmath/view/52541.html.
1. Who founded the Euler number (e)?
2. Who made it popular?
3. How is e calculated?
4. Where is e widely used?
5. What is the approximate value of e (round to 4 digits)?
F. Log onto: http://mathforum.org/library/drmath/view/60301.html.
1. What is the difference between log and natural log? (Also give an example that you make up).
2. Why is it given it’s own special name ‘natural log’?
G. Log onto: http://mathforum.org/library/drmath/view/55556.html.
1. What are some applications where e is used?
2. The amount $1, when compounding it annually grows to be $1.08 and when compounding it continuously at 8%, grows only to be $1.083287… in one year. What is needed for there to be a greater difference between compounding annually and continuously?
H. Log onto: http://www.shodor.org/UNChem/math/logs/index.html.
1. How would you read log34?
2. Where are logs widely used?
3. What are two types of equations we’ll have to solve using logs?
4. Explain how to solve the equation log 2 x = 8.
5. Explain how to solve the equation log x = .25
6. Explain how to solve the equation 3m = 1000.
7. Analyzing #4-#6. How do you isolate an exponent? How do you undo a log? . Are there exceptions?
Title: Algebra II Research Project
Assigned:
Due:
Purpose: to satisfy the research, technical reading and technical writing requirement as set forth in the course syllabus and to provide a deeper understanding of the Euler number, e, and logarithms and their use today, and lastly to make math real to you.
Your Task:
1. You will have one class period in the computer lab to research. You will be assigned a group and one hyperlink. Find the answers to the questions posed and share these answers with the class.
I can only give you one class period for research. Any additional time needed you will have to do on your home computers, or visit your local library, or make arrangements to stay after school and use the media center computers. Log onto “mathapps”, where no password is needed. I have loaded this document onto the student “s” drive so that you do not have to type in the http addresses. You need only to right click on the hyperlinks.
2. Hand in your research for ALL questions of ALL hyperlinks when you hand in your research paper. This will count 10 of your 70 points.
3. Now it’s time to organize your notes. Use the rubric below in order to organize your notes into an outline for your paper. Hand in your outline along with your notes and research paper. An appropriate, well-organized outline will count as 10 points of your grade.
3. It’s now time for your technical writing. Prepare a written report which includes:
(Each portion is worth 10 points, for a total of 50 points.)
_____ the inventors/discoverers of logarithms ,what logarithms are, why they are used, different bases of logarithms and how one would read them, the four ways that logarithms can make problem solving more simple. Include a discussion on the standardization of logarithms (is there one way to write them?)
_____ the four logarithmic identities (properties), how one undoes a logarithm, how one isolates an exponent, and the general rules for solving of exponential and logarithmic equations – give examples and provide a commentary on how the solving relates to what you know about solving algebraic equations.
_____the history of the Euler number, what the Euler number is, how it is calculated
_____an explanation on why we need logarithms and several applications of logarithms or exponential equations.
_____ a reflection of what personal value you gained from researching the value e and logarithms. Use phrase such as, but not limited to: I didn’t realize…..I still don’t understand…. One thing I found fascinating….. If I had named the imaginary numbers, I would have called them….. etc.
Even though this is a math class, this is a formal document, so spelling, grammar, etc rules are in full force. Your grade will be determined by both content and final product presentation. This grade will appear on your fourth quarter grade. I will provide ½ a class period for word processing. You should have your final draft all written out before this day, so that all you have to do is type it up. Again, if you don’t finish in the allotted time, you will have to find another way to finish, either via local library, home computer, or media center. I strongly suggest a flash drive rather a floppy for the transferring of your data from one computer to the next.
May 7/8 - in addition to the assignment posted above, students were given grade reports to get signed by parents and returned.
May 9/12 final exam review sheet
May 13/14 pages 496-497: 15- 21 odds, 31-73 odds. Test in three days, chapter 8
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