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