Unit 61
Understanding exponential growth and logarithmic relationships
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Day 1
Exponential functions: f(x) = aˣ
Day 2
Graphing exponential growth
Day 3
Graphing exponential decay
Day 4
Transformations of exponential functions
Day 5
The number e
Day 6
Continuous growth and decay
Day 7
Compound interest revisited
Day 8
Exponential equations: same base
Day 9
Introduction to logarithms
Day 10
Logarithmic form and exponential form
Day 11
Common logarithms (base 10)
Day 12
Natural logarithms (base e)
Day 13
Evaluating logarithms
Day 14
Graphing logarithmic functions
Day 15
Transformations of log functions
Day 16
Properties of logarithms: product rule
Day 17
Properties of logarithms: quotient rule
Day 18
Properties of logarithms: power rule
Day 19
Expanding logarithmic expressions
Day 20
Condensing logarithmic expressions
Day 21
Solving exponential equations using logs
Day 22
Solving logarithmic equations
Day 23
Change of base formula
Day 24
Exponential and log models
Day 25
Population growth models
Day 26
Half-life and decay models
Day 27
Logarithmic scales (pH, decibels, Richter)
Day 28
Financial applications
Day 29
Review and applications
Day 30
Unit assessment