Digital Agenda #2S.6 ALGEBRA 2
March 12th – March 16th, 2012
Unit 9 Standard Alg. II 11.1
Check In/Do Know: Download files
Essential Question (s): 1. How to graph and identify the graphs of logarithmic functions and exponential functions, and analyze its range and domain
2. How to evaluate Logs
3. How to work with Logs base 10
4. How to expand and compress logarithmsg
11.1: Students understand the inverse relationship between exponents and logarithms
and use this relationship to solve problems involving logarithms and exponents.
Standard(s) from Instructional Guide: (TCRP Domains 1-3) Alg II
Standard 14.0: Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate
values.
18.0: Students use fundamental counting principles to compute combinations and permutations
20.0: Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers.
Student Objective (s): 1. The students
will be able to understand how to evaluate, graph, expand, compress and change the base of logarithms.
Objective: The students will be able to graph logarithmic functions, use the definition and properties of logarithms to solve
exponential and logarithmic equations, and solve applications using exponential and logarithmic functions which are used in an introductory
College Algebra Class, in College Pre-Calculus and Calculus Courses prior to graphing and analyzing functions and using derivatives,
integrals and Riemann Sums.
College Objective:
Applications: Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling
time, and half-life problems, analyzing their graphs and finding the areas under their curves, etc.
Assessment and Student Reflection:
1.
Exit Slip on each station based upon what was done at that particular station and will deal with the respective CST Released questions
• Agenda:
•1. Do Now
•2. Mini-Lecture on Logarithms
•Evaluating
•Graphing
•Properties of logs, expanding and
compressing
•Change of Base Formula.
•3. Work on practices
•Tic-tac-toe: after domain (download
the document)
•meaning of logs review, exponential to
log and vise versa, evaluating
•http://www.kutasoftware.com/FreeW
orksheets/Alg2Worksheets/Meaning%
20of%20Logarithms.pdf
•Properties of logs expanding and
compressing:
•http://www.kutasoftware.com/FreeW
orksheets/Alg2Worksheets/Properties
%20of%20Logarithms.pdf
•Change of Base Formula:
•http://www.kutasoftware.com/FreeW
orksheets/Alg2Worksheets/Change%2
0of%20Base%20Formula.pdf
•4. Exit Slip, Reflection
Explicit Direct Instruction
Individualized Online
Instruction
• Agenda
•1. Watch the following videos about combinations
and permutations and write notes and do the
video protocol:
•Pascal’s Triangle
•http://youtu.be/YUqHdxxdbyM
•http://youtu.be/CmH3ogYAy4k
•http://youtu.be/DunujhytkOY
•http://youtu.be/NLQmQGA4a3M
•http://www.brightstorm.com/math/algebra2/polynomials/pascals-triangle-/
•Beginning concept
•http://www.brightstorm.com/math/algebra2/polynomials/binomial-theorem/
•Combinations
•http://www.brightstorm.com/math/algebra2/polynomials/binomial-theorem-problem-1/
•Binomial Theorem
•http://www.brightstorm.com/math/algebra2/polynomials/binomial-theorem-problem-2/
•Application of Binomial Theorem
•http://www.brightstorm.com/math/algebra2/polynomials/binomial-theorem-problem-3/
•Binomial theorem using combinations
•http://youtu.be/YxysKtqpbVI
•Binomial theorem
•http://youtu.be/OMr9ZF1jgNc
•http://youtu.be/1pSD8cYyqUo
•http://youtu.be/TeE-ypKj8ZI
•Work on 2S.6 Agenda UNIT 11 STD 20.0 BINOMIAL
THEOREAM on Compass Learning work on the
entire folder and write the info in your notebook.
•Binomial Theorem Activity Sheet
•http://www.kutasoftware.com/FreeWorksheets/A
lg2Worksheets/The%20Binomial%20Theorem.pdf
•2. Exit Slip, Reflection
• Agenda:
•1. In your groups use the collaborative group role
expectations and assing a role to each person in your
group and read the following purple math article:
•http://www.purplemath.com/modules/graphlog.htm
•In your groups creat a graphic organizer #1 about
what you just read.
•2. In your groups use the collaborative group role
expectations and assing a role to each person in your
group and read the following purple math article:
•Basic Rules
•http://www.purplemath.com/modules/logrules.htm
•In your groups creat a graphic organizer #2 about
what you just read.
•Expanding logs
•http://www.purplemath.com/modules/logrules2.ht
m
•In your groups creat a graphic organizer #3 about
what you just read.
•Copmressing/Simplifying logs
•http://www.purplemath.com/modules/logrules3.ht
m
•In your groups creat a graphic organizer #4 about
what you just read.
•Trick questions
•http://www.purplemath.com/modules/logrules4.ht
m
•In your groups creat a graphic organizer #5 about
what you just read.
•Change of base formula
•http://www.purplemath.com/modules/logrules5.ht
m
•In your groups creat a graphic organizer #6 about
what you just read.
•3. Exit Slip, Reflection
Collaborative Standards-Driven
Activities and Stations