Embedded Files
3.1 Rational Exponents
Explanation:
Khan video: Intro to cube roots (Algebra 1)
Khan video: 5th roots (Algebra 1)
Khan article: Higher order roots (Algebra 1)
Khan video: Intro to rational exponents
Khan video: Rewriting roots as rational exponents
Khan video: Exponential equation with rational answer (reason why rational exponents are the same as roots)
Khan video: Evaluating fractional exponents
Khan video: Evaluating fractional exponents: negative unit-fraction
Khan video: Evaluating fractional exponents: fractional base
Khan video: Evaluating quotient of fractional exponents
Practice Problems:
Desmos Activity: Real Number Sort: ALWAYS, SOMETIMES, NEVER
Khan: Unit-fraction exponents
Khan: Fractional exponents
IXL: Algebra 1: EE. Convert between rational exponents and radicals
IXL Algebra 1: V.11 Evaluate integers raised to positive rational exponents KT5
IXL: Algebra 1: V.12 Evaluate integers raised to rational exponents PQH
Teacher Resources:
ExamView Test Bank (purchase)
3.2 Solving Exponential Equations Using Exponent PropertiesÂ
3.2 Solving Exponential Equations Using Exponent PropertiesÂ
Explanation:
Khan video: Solving exponential equations using exponent properties (Algebra 2)
Khan video: Solving exponential equations using exponent properties (advanced) (Algebra 2)
Practice Problems:
IXL: Algebra 2 T.4 Solve exponential equations by rewriting the baseÂ
Khan exercise: Solve exponential equations using exponent properties (Algebra 2)
Khan exercise: Solve exponential equations using exponent properties (advanced) (Algebra 2)
Teacher Resource:
ExamView Test Bank (purchase)
3.3 Simplify Single Logs (including natural log) & Inverse Properties
Explanation:
Khan video: Introduction to Logarithms
Khan text: Intro to Logarithms
Khan video: Evaluating logarithms (advanced)
Khan video: Relationship between exponentials & logarithms
Khan video: e as a limit
Khan video: How to evaluate a natural logarithm using a calculator (example)
Practice Problems:
Khan Exercise: Evaluate logarithms (basic)
Khan Exercise: Evaluate logarithms (advanced)
Quizlet Scatter: review inverse operations
Teacher Resources:
ExamView Test Bank (purchase)
3.4 Property of Logs: Combine & Expand Logs
Explanation:
Khan 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 properties
Khan video: Using the logarithmic product ruleÂ
Khan video: Using the logarithmic power rule (power of a log)
Khan video: Using the properties of logarithms: multiple steps
Khan text: Justifying the logarithm properties
Khan video: Proof of the logarithm product rule
Khan video: Proof of the logarithm quotient and power rules
Practice Problems:
Khan exercise: Use the properties of logarithms
Teacher Resource
ExamView Test Bank (purchase)
3.5 Solve Logarithmic Equations (with one log)
Explanation:
Khan: How to solve a logarithmic equation with a variable in the base (example)
Khan video: Evaluating logarithms: change of base rule
Khan text: Logarithm change of base rule intro
Khan video: Using the logarithm change of base rule
Khan video: Change of base formula proof
Khan text: Logarithm properties review
Practice Problems:
Teacher Resource:
ExamView Test Bank (purchase)
ExamView Test Bank (purchase)
3.6 Solve Logarithmic Equations When There is More than One Log
Explanation
Practice Problems:
Teacher Resource
ExamView Test Bank (purchase)
3.7 Solve Exponential Equations when the bases are not the same
Explanation
Practice Problems:
Teacher Resources:
ExamView Test Bank (purchase)
3.8 Solve Exponential Equations when the bases are not the same and there is more than one variable
Explanation:
Practice Problems:
3.9 Solve Exponential Equations by factoring
Explanation
Practice Problems
Review of Exponential and Logarithmic Expressions and Equations:
Cumulative Review WS
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