Florida B.E.S.T. MA.912.NSO.1.6
The Standard
Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find exact values of numerical logarithms by rewriting them in exponential form. They use product, quotient, and power properties to create equivalent expressions and simplify them.
What Mastery Looks Like
- Students evaluate expressions such as log₂(32) and connect them to exponential equations. They combine or expand numerical logarithms correctly using product, quotient, and power properties.
Common Misconceptions
- Students may treat log(a + b) as log(a) + log(b), even though the product rule requires multiplication. They may also mishandle coefficients or confuse the base with the logarithm’s value.
How to Assess It
- Exit ticket: Without a calculator, evaluate log₂(8) + log₂(4) − log₂(2). Rewrite it as one logarithm and name each property used.
Lesson moves
Ways to Teach It
Give groups cards showing logarithmic expressions, exponential forms, and values, then have them build matching sets and justify each match.
Ask students to explain why log(2 + 3) does not equal log(2) + log(3), using numerical estimates as evidence.
Play a relay where teams simplify one logarithmic expression at each station, checking the previous team’s work before moving on.
Give sound intensity ratios and have students calculate decibel levels using 10log₁₀(I/I₀), then compare which sounds are louder.
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Related Standards
- MA.7.NSO.1.1
Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole-number exponents and rati...
- MA.912.AR.5.2
Solve one-variable equations involving logarithms or exponential expressions. Interpret solutions as viable in terms of the context and identify any extraneous ...
- MA.912.NSO.1.7
Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.
- MA.912.NSO.1
Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
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