Common Core Math - HS Functions
Lesson Plan
Understand inverse relationship of exponents and logarithms
Goals / Objectives
State that the logarithm function y = log_b(x) is the inverse of the exponential function y = b^x
Convert between exponential form (bʸ = x) and logarithmic form (log_b(x) = y) fluently
Evaluate logarithmic expressions by converting to "what exponent?" questions: log_2(8) = ? -> 2^? = 8 -> 3
Use the inverse relationship to simplify compositions: b^(log_b(x)) = x and log_b(b^x) = x
Solve exponential equations using logarithms: b^x = c -> x = log_b(c)
Solve logarithmic equations using exponents: log_b(x) = c -> x = bᶜ
Standards
HSF.BF.B.5
HSF.BF.B.5: (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
Academic Vocabulary
Not in our source material
Materials
Remediation
Enrichment
Accommodations
Not in our source material
Anticipatory Set / Bell Work
Modeling
Check for Understanding
This lesson’s brief has no Formative Assessment or Assessment Ideas