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### Exponents & Logs

 Essential Question: How do we model and use exponential growth and decay?Powers with Rational Exponents1) Simplify Powers with Rational ExponentsExplanation:Notes | Annotated NotesVideo: Khan: Introduction to rational exponentsKhan: Rewriting roots as rational exponentsKhan: Radicals and exponents (ignore the last problem)Khan: Evaluating rational exponents: negative unit-fractionKhan: Evaluating rational exponentsKhan: Evaluating rational exponents: rational baseReview of negative exponents (optional review):Practice Problems:Worksheet #1 | AnswersWorksheet #2 | AnswersKhan exercise: Negative exponentsKhan exercise: Rational exponents: unit fractionsKhan exercise: Rational exponents and radicalsTeacher Resources:ExamView Test Bank (purchase)2) Operations of Powers with Rational ExponentsExplanation:Practice ProblemsWorksheet #3Khan exercise: Properties of exponents (rational exponents)Khan exercise: Equivalent forms of exponential expressionsTeacher Resources:ExamView Test Bank (purchase)3) Simplify RootsExplanationPractice Problems Worksheet4)  Solve Equations with Fractional Exponents (Root Equations)Explanation:Practice ProblemsTeacher Resources:ExamView Test Bank (purchase)Exponential Equations5) Solve Equivalent Powers with the Same BaseExplanation:Practice problems:Teacher Resource:ExamView Test Bank (purchase)Logarithmic Expressions6) Simplify Single Logs (including natural log) & Inverse PropertiesExplanation:Notes | AnnotatedKhan video: Introduction to LogarithmsKhan text: Intro to LogarithmsKhan video: Evaluating logarithms (advanced)Khan video: Relationship between exponentials & logarithmsKhan video: e as a limitKhan video: How to evaluate a natural logarithm using a calculator (example)Practice Problems:Worksheet #1 | AnswersWorksheet #2 | AnswersWorksheet #3Worksheet #4Khan Exercise: Evaluate logarithms (basic)Khan Exercise: Evaluate logarithms (advanced)Quizlet Scatter: review inverse operationsTeacher Resources:ExamView Test Bank (purchase)7) Property of Logs: Combine & Expand LogsExplanation:Notes | AnnotatedKhan video: Introduction to Logarithm properties (adding and subtracting logs)Khan video: Introduction to Logarithm properties (part 2) (multiplying logs by a number)Khan text: Intro to logarithm propertiesKhan video: Using the logarithmic product rule Khan video: Using the logarithmic power rule (power of a log)Khan video: Using the properties of logarithms: multiple stepsKhan text: Justifying the logarithm propertiesKhan video: Proof of the logarithm product ruleKhan video: Proof of the logarithm quotient and power rulesPractice Problems:Worksheet #1 | AnswersWorksheet #2Khan exercise: Use the properties of logarithmsTeacher ResourceExamView Test Bank (purchase)8) Approximate Logs by ExpansionExercises:9) Use the Change of Base Formula to find the decimal approximation of a logExplanation:Khan video: Evaluating logarithms: change of base ruleKhan text: Logarithm change of base rule introKhan video: Using the logarithm change of base ruleKhan video: Change of base formula proofKhan text: Logarithm properties reviewPractice Problems:Teacher Resource:ExamView Test Bank (purchase)Solve Logarithmic Equations10) Solve Logarithmic Equations (with one log):Explanation:Practice Problems:Teacher Resource:ExamView Test Bank (purchase)11) Solve Logarithmic Equations When There is More than One LogExplanationPractice Problems:Teacher ResourceExamView Test Bank (purchase)Solving Exponential Equations12) Solve Exponential Equations when the bases are not the sameExplanationNotes | AnnotatedVideos:Practice Problems:Teacher Resources:ExamView Test Bank (purchase)13) Solve Exponential Equations when the bases are not the same and there is more than one variableExplanation:Practice Problems:14) Solve Exponential Equations by factoringExplanationNotes | AnnotatedPractice Problems15) Review of Exponential and Logarithmic Expressions and Equations:16)  Cumulative Review WS