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MondayTuesdayWednesdayThursdayFridayTopicTEST: Chapter 5 - Polynomials Exponential growth and decay (7.1-7.2)Define, graph, evaluate logs (7.3-7.4)Properties of logs and solving log equations (7.5-7.6)Natural logs and solving same-base exponential equations (7.3, 7.6)ObjectivesSWBAT:~ Identify the form and parameters for exponential growth and decay functions.~ Apply exponential growth models to situations with compound interest, where a quantity increases by a fixed percent each time period, or depreciation where a quantity decreases by a fixed percent each time period. SWBAT:~ Describe graphs of exponential and logarithmic functions, and identify domain, range, and asymptotes.~ Understand the inverse relationship between exponential and logarithmic functions. ~ Use tools including factoring and properties of exponents to simplify expressions and to transform and solve logarithmic equations. SWBAT:~ Recognize that the product, quotient, and power properties of logarithms are directly related to corresponding properties of exponents. ~ Apply the properties of logarithms to expand or condense expressions.~ Rewrite logarithms using the change-of-base formula and then evaluate the resulting expression. SWBAT:~ Discover the special irrational number “e” which is the base of natural logarithms, and understand its use in many applications of exponential functions, including continuously increasing or decreasing biological phenomena and continuously compounded interest. ~ Solve exponential equations with the same base by equating their exponents.Turn in review worksheet for a completion grade. ENGAGE:Go over test (30 minutes)Go over Worksheet 7.1 (10 minutes)ENGAGE:Warm-up: Identify functions as either exponential growth or decay or neither (10 minutes)ENGAGE:Socrative space race quiz (20 minutes)ENGAGE:Questions from bookwork and review for quiz (15 minutes).LAStudents will have 90 minutes to complete the test. Part 1 is no graphing calculator.EXPLORE:Medications Worksheet (20 minutes)EXPLAIN: Guided notes: Intro to exponentials (20 minutes)ELABORATE:Interest formulas and applications (10 minutes)EXPLORE:Have students brainstorm different ways to write the number ? (5 minutes).EXPLAIN:Guided notes: Intro to logarithms (25 minutes)ELABORATE:Small group/independent practice and work time (30 minutes)EXPLORE:Review exponents - rewriting in the smallest base (10 minutes).EXPLAIN:Guided notes: Expand logs and solve log equations (30 minutes).ELABORATE:Small group/independent practice (30 minutes).EXPLORE:Discovery activity for the number “e” (10 minutes).EXPLAIN:Guided notes: Same base exponentials (30 minutes).ELABORATE:Point out the mathematical beauty of Euler’s equation e^(iπ) + 1 = 0 (5 minutes).NStudents will complete Worksheet 7.1 before coming to class on Tuesday. EVALUATE/ASSESS:BookworkEVALUATE/ASSESS:BookworkAsk students to fill out a survey evaluating me as a student teacher. EVALUATE/ASSESS:BookworkWorksheet 7.5EVALUATE/ASSESS:Quiz 7.1, 7.2, 7.4 (allow 30 minutes)Worksheet 7.3 #1-28ResourcesGraphing calculatorsChapter 5 Tests (both parts)Worksheet 7.1Graphing calculatorsMedications worksheetsGraphing calculatorsMini whiteboards DesmosMini whiteboardsCard puzzles Worksheet 7.5 Cards for “e”Graphing calculators Quizzes Worksheet 7.3NotesI have an interview at Hebron High School at 2 PM so I will not be teaching 4th period. Joke or riddle of the dayA man shaves several times a day, yet he still has a beard. Who is this man? (A barber) Who gets paid when they drive away their customers? (A taxi driver)What is it that after you take away the whole, some still remains? (Wholesome)7 months have 31 days. How many months have 28 days? (All of them) ................
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